Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The...

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Integer Sight Reduction Tables Latitude 0° to 6° www.backbearing.com

Transcript of Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The...

Page 1: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

Integer

Sight Reduction Tables

Latitude 0° to 6°

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Page 2: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

USE OF THE TABLES.

The Greenwich Hour Angle (GHA) and Declination of the SUN are taken from the current year's Sun Almanac for the

precise date and time of the observation.

The GHA is combined with an Assumed Longitude, somewhere close to your actual position (obtained from your GPS

or, if you are a traditionalist, your Dead Reckoning position) to give your Local Hour Angle (LHA).

The resulting LHA must be a whole degree of latitude.

If LHA and Declination = SAME

Start at the first page and work forward until you find the page with your LHA.

Enter the table with your Declination and Latitude, and read off Hc, d' and Z.

Take care to note whether d' is +ve or -ve.

If LHA and Declination = CONTRARY

Start at the last page and work backwards until you find the page with your LHA.

Enter the table with your Declination and Latitude, and read of Hc, d' and Z.

Take care to note whether d' is +ve or -ve.

NOTE: Values of Hc, d' and Z are always in BOLD text whenever LHA and Declination are contrary.

Hc, the computed Altitude, must now be corrected for minutes of Declination by means of the correction table at the end

of the tables.

Enter the table with minutes of declination and d'. It doesn't matter which way round you use the table.

If d' is -ve, SUBTRACT the value obtained from the correction table from Hc to determine the corrected value of Hc.

If d' is +ve, ADD the value obtained from the correction table to HC to determine the corrected value of Hc.

Accuracy and Precision

This particular set of tables returns Hc, d' and Z as INTEGERS.

In the majority of situations this will give you satisfactory results as well as simplifying the entire sight reduction process.

These tables have been compared to the US National Imagery and Mapping Agency Sight Reduction Tables for Air

Navigation Pub249 with the following results.

No difference for Hc° has been identified by the author.

No difference in D' has been identified by the author.

No difference in Z° has been identified by the author.

Disclaimer

While the author has taken great care with these tables, no warranty is implied or expressed as to their fitness for

purpose.

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Page 3: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 90°00' -60' 90° 89°00' +60' 180° 88°00' +60' 180° 87°00' +60' 180° 86°00' +60' 180° 85°00' +60' 180° 84°00' +60' 180° 0

1 89°00' -60' 0° 90°00' -60' 90° 89°00' +60' 180° 88°00' +60' 180° 87°00' +60' 180° 86°00' +60' 180° 85°00' +60' 180° 1

2 88°00' -60' 0° 89°00' -60' 0° 90°00' -60' 90° 89°00' +60' 180° 88°00' +60' 180° 87°00' +60' 180° 86°00' +60' 180° 2

3 87°00' -60' 0° 88°00' -60' 0° 89°00' -60' 0° 90°00' -60' 90° 89°00' +60' 180° 88°00' +60' 180° 87°00' +60' 180° 3

4 86°00' -60' 0° 87°00' -60' 0° 88°00' -60' 0° 89°00' -60' 0° 90°00' -60' 90° 89°00' +60' 180° 88°00' +60' 180° 4

5 85°00' -60' 0° 86°00' -60' 0° 87°00' -60' 0° 88°00' -60' 0° 89°00' -60' 0° 90°00' -60' 90° 89°00' +60' 180° 5

6 84°00' -60' 0° 85°00' -60' 0° 86°00' -60' 0° 87°00' -60' 0° 88°00' -60' 0° 89°00' -60' 0° 90°00' -60' 90° 6

7 83°00' -60' 0° 84°00' -60' 0° 85°00' -60' 0° 86°00' -60' 0° 87°00' -60' 0° 88°00' -60' 0° 89°00' -60' 0° 7

8 82°00' -60' 0° 83°00' -60' 0° 84°00' -60' 0° 85°00' -60' 0° 86°00' -60' 0° 87°00' -60' 0° 88°00' -60' 0° 8

9 81°00' -60' 0° 82°00' -60' 0° 83°00' -60' 0° 84°00' -60' 0° 85°00' -60' 0° 86°00' -60' 0° 87°00' -60' 0° 9

10 80°00' -60' 0° 81°00' -60' 0° 82°00' -60' 0° 83°00' -60' 0° 84°00' -60' 0° 85°00' -60' 0° 86°00' -60' 0° 10

11 79°00' -60' 0° 80°00' -60' 0° 81°00' -60' 0° 82°00' -60' 0° 83°00' -60' 0° 84°00' -60' 0° 85°00' -60' 0° 11

12 78°00' -60' 0° 79°00' -60' 0° 80°00' -60' 0° 81°00' -60' 0° 82°00' -60' 0° 83°00' -60' 0° 84°00' -60' 0° 12

13 77°00' -60' 0° 78°00' -60' 0° 79°00' -60' 0° 80°00' -60' 0° 81°00' -60' 0° 82°00' -60' 0° 83°00' -60' 0° 13

14 76°00' -60' 0° 77°00' -60' 0° 78°00' -60' 0° 79°00' -60' 0° 80°00' -60' 0° 81°00' -60' 0° 82°00' -60' 0° 14

15 75°00' -60' 0° 76°00' -60' 0° 77°00' -60' 0° 78°00' -60' 0° 79°00' -60' 0° 80°00' -60' 0° 81°00' -60' 0° 15

16 74°00' -60' 0° 75°00' -60' 0° 76°00' -60' 0° 77°00' -60' 0° 78°00' -60' 0° 79°00' -60' 0° 80°00' -60' 0° 16

17 73°00' -60' 0° 74°00' -60' 0° 75°00' -60' 0° 76°00' -60' 0° 77°00' -60' 0° 78°00' -60' 0° 79°00' -60' 0° 17

18 72°00' -60' 0° 73°00' -60' 0° 74°00' -60' 0° 75°00' -60' 0° 76°00' -60' 0° 77°00' -60' 0° 78°00' -60' 0° 18

19 71°00' -60' 0° 72°00' -60' 0° 73°00' -60' 0° 74°00' -60' 0° 75°00' -60' 0° 76°00' -60' 0° 77°00' -60' 0° 19

20 70°00' -60' 0° 71°00' -60' 0° 72°00' -60' 0° 73°00' -60' 0° 74°00' -60' 0° 75°00' -60' 0° 76°00' -60' 0° 20

21 69°00' -60' 0° 70°00' -60' 0° 71°00' -60' 0° 72°00' -60' 0° 73°00' -60' 0° 74°00' -60' 0° 75°00' -60' 0° 21

22 68°00' -60' 0° 69°00' -60' 0° 70°00' -60' 0° 71°00' -60' 0° 72°00' -60' 0° 73°00' -60' 0° 74°00' -60' 0° 22

23 67°00' -60' 0° 68°00' -60' 0° 69°00' -60' 0° 70°00' -60' 0° 71°00' -60' 0° 72°00' -60' 0° 73°00' -60' 0° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 89°00' -25' 90° 88°35' +25' 135° 87°46' +49' 153° 86°50' +56' 162° 85°53' +58' 166° 84°54' +59' 169° 83°55' +59' 171° 0

1 88°35' -49' 45° 89°00' -25' 90° 88°35' +25' 135° 87°46' +49' 153° 86°50' +56' 162° 85°53' +58' 166° 84°54' +59' 169° 1

2 87°46' -56' 27° 88°35' -49' 45° 89°00' -25' 90° 88°35' +25' 135° 87°46' +49' 153° 86°50' +56' 162° 85°53' +58' 166° 2

3 86°50' -58' 18° 87°46' -56' 27° 88°35' -49' 45° 89°00' -25' 90° 88°35' +25' 135° 87°46' +49' 153° 86°50' +56' 162° 3

4 85°53' -59' 14° 86°50' -58' 18° 87°46' -56' 27° 88°35' -49' 45° 89°00' -25' 90° 88°35' +25' 135° 87°46' +49' 153° 4

5 84°54' -59' 11° 85°53' -58' 14° 86°50' -57' 18° 87°46' -55' 26° 88°35' -49' 45° 89°00' -24' 90° 88°35' +26' 135° 5

6 83°55' -59' 9° 84°54' -59' 11° 85°53' -59' 14° 86°51' -58' 18° 87°46' -56' 26° 88°36' -50' 44° 89°01' -25' 90° 6

7 82°56' -59' 8° 83°55' -59' 9° 84°54' -59' 11° 85°53' -59' 14° 86°51' -58' 18° 87°46' -56' 26° 88°36' -50' 44° 7

8 81°56' -60' 7° 82°56' -59' 8° 83°55' -59' 9° 84°54' -59' 11° 85°53' -59' 14° 86°51' -58' 18° 87°47' -56' 26° 8

9 80°57' -60' 6° 81°56' -60' 7° 82°56' -59' 8° 83°55' -59' 9° 84°54' -59' 11° 85°53' -59' 14° 86°51' -58' 18° 9

10 79°57' -60' 6° 80°57' -60' 6° 81°56' -60' 7° 82°56' -59' 8° 83°55' -59' 9° 84°54' -59' 11° 85°53' -59' 14° 10

11 78°57' -60' 5° 79°57' -60' 6° 80°57' -60' 6° 81°56' -60' 7° 82°56' -59' 8° 83°55' -59' 9° 84°54' -59' 11° 11

12 77°58' -60' 5° 78°57' -60' 5° 79°57' -60' 6° 80°57' -60' 6° 81°56' -60' 7° 82°56' -59' 8° 83°55' -59' 9° 12

13 76°58' -60' 4° 77°58' -60' 5° 78°57' -60' 5° 79°57' -60' 5° 80°57' -60' 6° 81°57' -60' 7° 82°56' -59' 8° 13

14 75°58' -60' 4° 76°58' -60' 4° 77°58' -60' 5° 78°57' -60' 5° 79°57' -60' 5° 80°57' -60' 6° 81°57' -60' 7° 14

15 74°58' -60' 4° 75°58' -60' 4° 76°58' -60' 4° 77°58' -60' 5° 78°57' -60' 5° 79°57' -60' 5° 80°57' -60' 6° 15

16 73°58' -60' 3° 74°58' -60' 4° 75°58' -60' 4° 76°58' -60' 4° 77°58' -60' 5° 78°57' -60' 5° 79°57' -60' 5° 16

17 72°58' -60' 3° 73°58' -60' 3° 74°58' -60' 4° 75°58' -60' 4° 76°58' -60' 4° 77°58' -60' 5° 78°57' -60' 5° 17

18 71°58' -60' 3° 72°58' -60' 3° 73°58' -60' 3° 74°58' -60' 4° 75°58' -60' 4° 76°58' -60' 4° 77°58' -60' 4° 18

19 70°59' -60' 3° 71°58' -60' 3° 72°58' -60' 3° 73°58' -60' 3° 74°58' -60' 4° 75°58' -60' 4° 76°58' -60' 4° 19

20 69°59' -60' 3° 70°59' -60' 3° 71°58' -60' 3° 72°58' -60' 3° 73°58' -60' 3° 74°58' -60' 4° 75°58' -60' 4° 20

21 68°59' -60' 3° 69°59' -60' 3° 70°59' -60' 3° 71°58' -60' 3° 72°58' -60' 3° 73°58' -60' 3° 74°58' -60' 4° 21

22 67°59' -60' 2° 68°59' -60' 3° 69°59' -60' 3° 70°59' -60' 3° 71°58' -60' 3° 72°58' -60' 3° 73°58' -60' 3° 22

23 66°59' -60' 2° 67°59' -60' 2° 68°59' -60' 3° 69°59' -60' 3° 70°59' -60' 3° 71°59' -60' 3° 72°58' -60' 3° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

Latitude SAME as Declination 0° 360° LHA0° 360° LHA

0° 360° LHA 0° 360° LHALatitude SAME as Declination

1° 359° LHA Latitude SAME as Declination 1° 359° LHA

1° 359° LHA 1° 359° LHALatitude SAME as Declination

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Page 4: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 88°00' -14' 90° 87°46' +14' 117° 87°10' +36' 135° 86°24' +47' 146° 85°32' +52' 153° 84°37' +55' 158° 83°41' +56' 162° 0

1 87°46' -36' 63° 88°00' -14' 90° 87°46' +14' 117° 87°10' +36' 135° 86°24' +47' 146° 85°32' +52' 153° 84°37' +55' 158° 1

2 87°10' -47' 45° 87°46' -36' 63° 88°00' -14' 90° 87°46' +14' 117° 87°10' +36' 135° 86°24' +47' 146° 85°32' +52' 153° 2

3 86°24' -52' 34° 87°10' -47' 45° 87°46' -36' 63° 88°00' -14' 90° 87°46' +14' 117° 87°11' +36' 135° 86°24' +47' 146° 3

4 85°32' -55' 27° 86°24' -52' 34° 87°10' -47' 45° 87°46' -36' 63° 88°00' -14' 90° 87°46' +14' 117° 87°11' +36' 135° 4

5 84°37' -41' 22° 85°32' -37' 26° 86°24' -30' 34° 87°11' -19' 45° 87°46' +02' 63° 88°00' +38' 90° 87°46' +78' 117° 5

6 83°56' -59' 9° 84°55' -59' 10° 85°54' -59' 13° 86°52' -58' 17° 87°48' -56' 25° 88°38' -50' 43° 89°05' -26' 90° 6

7 82°56' -60' 8° 83°56' -59' 9° 84°55' -59' 10° 85°54' -59' 13° 86°52' -58' 17° 87°48' -56' 25° 88°38' -50' 43° 7

8 81°57' -60' 7° 82°56' -60' 8° 83°56' -59' 9° 84°55' -59' 10° 85°54' -59' 13° 86°52' -58' 17° 87°48' -56' 25° 8

9 80°57' -60' 6° 81°57' -60' 7° 82°56' -60' 7° 83°56' -59' 9° 84°55' -59' 10° 85°54' -59' 13° 86°52' -58' 17° 9

10 79°57' -60' 5° 80°57' -60' 6° 81°57' -60' 7° 82°56' -60' 7° 83°56' -59' 9° 84°55' -59' 10° 85°54' -59' 13° 10

11 78°58' -60' 5° 79°57' -60' 5° 80°57' -60' 6° 81°57' -60' 7° 82°56' -60' 7° 83°56' -59' 9° 84°55' -59' 10° 11

12 77°58' -60' 4° 78°58' -60' 5° 79°57' -60' 5° 80°57' -60' 6° 81°57' -60' 6° 82°56' -60' 7° 83°56' -59' 9° 12

13 76°58' -60' 4° 77°58' -60' 4° 78°58' -60' 5° 79°57' -60' 5° 80°57' -60' 6° 81°57' -60' 6° 82°56' -60' 7° 13

14 75°58' -60' 4° 76°58' -60' 4° 77°58' -60' 4° 78°58' -60' 5° 79°57' -60' 5° 80°57' -60' 6° 81°57' -60' 6° 14

15 74°58' -60' 3° 75°58' -60' 4° 76°58' -60' 4° 77°58' -60' 4° 78°58' -60' 5° 79°58' -60' 5° 80°57' -60' 6° 15

16 73°58' -60' 3° 74°58' -60' 3° 75°58' -60' 4° 76°58' -60' 4° 77°58' -60' 4° 78°58' -60' 5° 79°58' -60' 5° 16

17 72°59' -60' 3° 73°58' -60' 3° 74°58' -60' 3° 75°58' -60' 4° 76°58' -60' 4° 77°58' -60' 4° 78°58' -60' 5° 17

18 71°59' -60' 3° 72°59' -60' 3° 73°58' -60' 3° 74°58' -60' 3° 75°58' -60' 4° 76°58' -60' 4° 77°58' -60' 4° 18

19 70°59' -60' 3° 71°59' -60' 3° 72°59' -60' 3° 73°58' -60' 3° 74°58' -60' 3° 75°58' -60' 4° 76°58' -60' 4° 19

20 69°59' -60' 3° 70°59' -60' 3° 71°59' -60' 3° 72°59' -60' 3° 73°58' -60' 3° 74°58' -60' 3° 75°58' -60' 4° 20

21 68°59' -60' 2° 69°59' -60' 3° 70°59' -60' 3° 71°59' -60' 3° 72°59' -60' 3° 73°58' -60' 3° 74°58' -60' 3° 21

22 67°59' -60' 2° 68°59' -60' 2° 69°59' -60' 3° 70°59' -60' 3° 71°59' -60' 3° 72°59' -60' 3° 73°58' -60' 3° 22

23 66°59' -60' 2° 67°59' -60' 2° 68°59' -60' 2° 69°59' -60' 2° 70°59' -60' 3° 71°59' -60' 3° 72°59' -60' 3° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 87°00' -10' 90° 86°50' +10' 108° 86°24' +27' 124° 85°45' +38' 135° 85°00' +45' 143° 84°10' +50' 149° 83°18' +53' 153° 0

1 86°50' -27' 72° 87°00' -10' 90° 86°50' +10' 108° 86°24' +27' 124° 85°46' +38' 135° 85°00' +46' 143° 84°10' +50' 149° 1

2 86°24' -38' 56° 86°50' -27' 72° 87°00' -10' 90° 86°50' +10' 108° 86°24' +27' 124° 85°46' +38' 135° 85°00' +46' 143° 2

3 85°45' -45' 45° 86°24' -38' 56° 86°50' -27' 71° 87°00' -10' 90° 86°51' +10' 108° 86°24' +27' 124° 85°46' +38' 135° 3

4 85°00' -50' 37° 85°46' -45' 45° 86°24' -38' 56° 86°51' -27' 71° 87°00' -10' 90° 86°51' +10' 108° 86°24' +27' 124° 4

5 84°10' -53' 31° 85°00' -50' 37° 85°46' -45' 45° 86°24' -38' 56° 86°51' -27' 71° 87°01' -10' 90° 86°51' +10' 108° 5

6 83°18' -54' 26° 84°10' -53' 31° 85°00' -50' 37° 85°46' -45' 45° 86°24' -38' 56° 86°51' -27' 71° 87°01' -10' 90° 6

7 82°23' -56' 23° 83°18' -54' 26° 84°10' -53' 31° 85°00' -50' 37° 85°46' -45' 45° 86°24' -38' 56° 86°51' -27' 71° 7

8 81°28' -57' 20° 82°23' -56' 23° 83°18' -54' 26° 84°11' -53' 31° 85°01' -50' 37° 85°46' -45' 45° 86°25' -38' 56° 8

9 80°31' -57' 18° 81°28' -57' 20° 82°23' -56' 23° 83°18' -54' 26° 84°11' -53' 31° 85°01' -50' 36° 85°47' -45' 45° 9

10 79°34' -58' 17° 80°31' -57' 18° 81°28' -57' 20° 82°24' -56' 23° 83°18' -54' 26° 84°11' -53' 31° 85°01' -50' 36° 10

11 78°36' -58' 15° 79°34' -58' 16° 80°31' -57' 18° 81°28' -57' 20° 82°24' -56' 23° 83°18' -54' 26° 84°11' -53' 30° 11

12 77°38' -58' 14° 78°36' -58' 15° 79°34' -58' 16° 80°31' -57' 18° 81°28' -57' 20° 82°24' -56' 23° 83°19' -54' 26° 12

13 76°40' -59' 13° 77°38' -58' 14° 78°36' -58' 15° 79°34' -58' 16° 80°31' -57' 18° 81°28' -57' 20° 82°24' -56' 23° 13

14 75°41' -59' 12° 76°40' -59' 13° 77°38' -58' 14° 78°36' -58' 15° 79°34' -58' 16° 80°32' -57' 18° 81°28' -57' 20° 14

15 74°43' -59' 11° 75°41' -59' 12° 76°40' -59' 13° 77°38' -58' 14° 78°37' -58' 15° 79°34' -58' 16° 80°32' -57' 18° 15

16 73°44' -59' 10° 74°43' -59' 11° 75°41' -59' 12° 76°40' -59' 13° 77°39' -58' 14° 78°37' -58' 15° 79°35' -58' 16° 16

17 72°45' -59' 10° 73°44' -59' 10° 74°43' -59' 11° 75°42' -59' 12° 76°40' -59' 13° 77°39' -58' 14° 78°37' -58' 15° 17

18 71°46' -59' 9° 72°45' -59' 10° 73°44' -59' 10° 74°43' -59' 11° 75°42' -59' 12° 76°40' -59' 12° 77°39' -58' 13° 18

19 70°46' -59' 9° 71°46' -59' 9° 72°45' -59' 10° 73°44' -59' 10° 74°43' -59' 11° 75°42' -59' 12° 76°41' -59' 12° 19

20 69°47' -59' 8° 70°46' -59' 9° 71°46' -59' 9° 72°45' -59' 10° 73°44' -59' 10° 74°43' -59' 11° 75°42' -59' 11° 20

21 68°48' -59' 8° 69°47' -59' 8° 70°47' -59' 9° 71°46' -59' 9° 72°45' -59' 9° 73°44' -59' 10° 74°43' -59' 11° 21

22 67°48' -59' 7° 68°48' -59' 8° 69°47' -59' 8° 70°47' -59' 8° 71°46' -59' 9° 72°45' -59' 9° 73°44' -59' 10° 22

23 66°49' -59' 7° 67°48' -59' 7° 68°48' -59' 8° 69°47' -59' 8° 70°47' -59' 8° 71°46' -59' 9° 72°45' -59' 9° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

Latitude SAME as Declination

3° 357° LHA Latitude SAME as Declination 3° 357° LHA

3° 357° LHA 3° 357° LHA

2° 358° LHA Latitude SAME as Declination 2° 358° LHA

2° 358° LHA Latitude SAME as Declination 2° 358° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

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Page 5: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 86°00' -07' 90° 85°53' +07' 104° 85°32' +21' 117° 85°00' +32' 127° 84°21' +39' 135° 83°36' +45' 141° 82°48' +49' 146° 0

1 85°53' -21' 76° 86°00' -07' 90° 85°53' +07' 104° 85°32' +21' 116° 85°00' +32' 127° 84°21' +40' 135° 83°36' +45' 141° 1

2 85°32' -32' 63° 85°53' -21' 76° 86°00' -07' 90° 85°53' +07' 104° 85°32' +21' 116° 85°00' +32' 127° 84°21' +40' 135° 2

3 85°00' -39' 53° 85°32' -32' 63° 85°53' -21' 76° 86°00' -07' 90° 85°53' +08' 104° 85°32' +21' 116° 85°01' +32' 127° 3

4 84°21' -45' 45° 85°00' -39' 53° 85°32' -32' 63° 85°53' -21' 76° 86°01' -07' 90° 85°53' +08' 104° 85°32' +21' 116° 4

5 83°36' -48' 39° 84°21' -45' 45° 85°00' -39' 53° 85°32' -32' 63° 85°53' -21' 76° 86°01' -07' 90° 85°54' +08' 104° 5

6 82°48' -51' 34° 83°36' -48' 39° 84°21' -45' 45° 85°01' -39' 53° 85°32' -32' 63° 85°54' -21' 76° 86°01' -07' 90° 6

7 81°57' -53' 30° 82°48' -51' 34° 83°36' -48' 38° 84°21' -45' 45° 85°01' -39' 53° 85°33' -32' 63° 85°54' -21' 76° 7

8 81°04' -54' 26° 81°57' -53' 30° 82°48' -51' 33° 83°37' -48' 38° 84°22' -45' 45° 85°01' -39' 53° 85°33' -32' 63° 8

9 80°09' -55' 24° 81°04' -54' 26° 81°57' -53' 29° 82°48' -51' 33° 83°37' -48' 38° 84°22' -45' 45° 85°02' -39' 53° 9

10 79°14' -56' 22° 80°10' -55' 24° 81°04' -54' 26° 81°57' -53' 29° 82°48' -51' 33° 83°37' -48' 38° 84°22' -45' 44° 10

11 78°18' -57' 20° 79°14' -56' 22° 80°10' -55' 24° 81°04' -54' 26° 81°57' -53' 29° 82°49' -51' 33° 83°38' -48' 38° 11

12 77°22' -57' 18° 78°18' -57' 20° 79°15' -56' 21° 80°10' -55' 24° 81°04' -54' 26° 81°58' -53' 29° 82°49' -51' 33° 12

13 76°25' -57' 17° 77°22' -57' 18° 78°19' -57' 20° 79°15' -56' 21° 80°10' -55' 23° 81°05' -54' 26° 81°58' -53' 29° 13

14 75°27' -58' 16° 76°25' -57' 17° 77°22' -57' 18° 78°19' -57' 20° 79°15' -56' 21° 80°11' -55' 23° 81°05' -54' 26° 14

15 74°29' -58' 15° 75°27' -58' 16° 76°25' -57' 17° 77°22' -57' 18° 78°19' -57' 19° 79°15' -56' 21° 80°11' -55' 23° 15

16 73°31' -58' 14° 74°29' -58' 15° 75°27' -58' 15° 76°25' -57' 17° 77°22' -57' 18° 78°19' -57' 19° 79°16' -56' 21° 16

17 72°33' -58' 13° 73°31' -58' 14° 74°30' -58' 14° 75°28' -58' 15° 76°25' -57' 17° 77°23' -57' 18° 78°19' -57' 19° 17

18 71°35' -59' 12° 72°33' -58' 13° 73°32' -58' 14° 74°30' -58' 14° 75°28' -58' 15° 76°25' -57' 16° 77°23' -57' 18° 18

19 70°36' -59' 11° 71°35' -59' 12° 72°33' -58' 13° 73°32' -58' 13° 74°30' -58' 14° 75°28' -58' 15° 76°26' -57' 16° 19

20 69°37' -59' 11° 70°36' -59' 11° 71°35' -59' 12° 72°33' -58' 13° 73°32' -58' 13° 74°30' -58' 14° 75°28' -58' 15° 20

21 68°38' -59' 10° 69°37' -59' 11° 70°36' -59' 11° 71°35' -59' 12° 72°34' -58' 13° 73°32' -58' 13° 74°30' -58' 14° 21

22 67°39' -59' 10° 68°39' -59' 10° 69°38' -59' 11° 70°36' -59' 11° 71°35' -59' 12° 72°34' -58' 12° 73°32' -58' 13° 22

23 66°40' -59' 9° 67°40' -59' 10° 68°39' -59' 10° 69°38' -59' 11° 70°37' -59' 11° 71°35' -59' 12° 72°34' -58' 12° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 85°00' -06' 90° 84°54' +06' 101° 84°37' +17' 112° 84°10' +27' 121° 83°36' +34' 129° 82°56' +40' 135° 82°12' +44' 140° 0

1 84°54' -17' 79° 85°00' -06' 90° 84°54' +06' 101° 84°37' +17' 112° 84°10' +27' 121° 83°36' +34' 129° 82°56' +40' 135° 1

2 84°37' -27' 68° 84°54' -17' 79° 85°00' -06' 90° 84°54' +06' 101° 84°37' +17' 112° 84°11' +27' 121° 83°36' +35' 129° 2

3 84°10' -34' 59° 84°37' -27' 68° 84°54' -17' 79° 85°00' -06' 90° 84°55' +06' 101° 84°38' +17' 112° 84°11' +27' 121° 3

4 83°36' -40' 51° 84°10' -34' 59° 84°37' -27' 68° 84°55' -17' 79° 85°01' -06' 90° 84°55' +06' 101° 84°38' +17' 112° 4

5 82°56' -44' 45° 83°36' -40' 51° 84°11' -34' 59° 84°38' -27' 68° 84°55' -17' 78° 85°01' -06' 90° 84°55' +06' 101° 5

6 82°12' -47' 40° 82°56' -44' 45° 83°36' -40' 51° 84°11' -34' 59° 84°38' -27' 68° 84°55' -17' 78° 85°02' -06' 90° 6

7 81°24' -50' 35° 82°12' -47' 40° 82°56' -44' 45° 83°37' -40' 51° 84°11' -34' 59° 84°38' -27' 68° 84°56' -17' 78° 7

8 80°34' -52' 32° 81°25' -50' 35° 82°12' -47' 40° 82°57' -44' 45° 83°37' -40' 51° 84°12' -34' 59° 84°39' -27' 68° 8

9 79°43' -53' 29° 80°35' -52' 32° 81°25' -50' 35° 82°13' -47' 39° 82°57' -44' 45° 83°38' -40' 51° 84°12' -34' 59° 9

10 78°50' -54' 26° 79°43' -53' 29° 80°35' -52' 32° 81°25' -50' 35° 82°13' -47' 39° 82°58' -44' 44° 83°38' -40' 51° 10

11 77°56' -55' 24° 78°50' -54' 26° 79°43' -53' 29° 80°35' -52' 32° 81°25' -50' 35° 82°13' -47' 39° 82°58' -44' 44° 11

12 77°01' -56' 22° 77°56' -55' 24° 78°50' -54' 26° 79°44' -53' 29° 80°36' -52' 31° 81°26' -50' 35° 82°14' -47' 39° 12

13 76°05' -56' 21° 77°01' -56' 22° 77°56' -55' 24° 78°51' -54' 26° 79°44' -53' 28° 80°36' -52' 31° 81°26' -50' 35° 13

14 75°09' -57' 19° 76°05' -56' 21° 77°01' -56' 22° 77°57' -55' 24° 78°51' -54' 26° 79°44' -53' 28° 80°37' -52' 31° 14

15 74°12' -57' 18° 75°09' -57' 19° 76°06' -56' 21° 77°02' -56' 22° 77°57' -55' 24° 78°51' -54' 26° 79°45' -53' 28° 15

16 73°15' -57' 17° 74°13' -57' 18° 75°10' -57' 19° 76°06' -56' 20° 77°02' -56' 22° 77°57' -55' 24° 78°52' -54' 26° 16

17 72°18' -58' 16° 73°16' -57' 17° 74°13' -57' 18° 75°10' -57' 19° 76°06' -56' 20° 77°02' -56' 22° 77°58' -55' 24° 17

18 71°20' -58' 15° 72°18' -58' 16° 73°16' -57' 17° 74°13' -57' 18° 75°10' -57' 19° 76°07' -56' 20° 77°03' -56' 22° 18

19 70°23' -58' 14° 71°21' -58' 15° 72°19' -58' 16° 73°16' -57' 17° 74°13' -57' 18° 75°10' -57' 19° 76°07' -56' 20° 19

20 69°25' -58' 13° 70°23' -58' 14° 71°21' -58' 15° 72°19' -58' 16° 73°16' -57' 17° 74°14' -57' 18° 75°11' -57' 19° 20

21 68°26' -58' 13° 69°25' -58' 13° 70°23' -58' 14° 71°21' -58' 15° 72°19' -58' 16° 73°17' -57' 16° 74°14' -57' 17° 21

22 67°28' -58' 12° 68°27' -58' 13° 69°25' -58' 13° 70°23' -58' 14° 71°22' -58' 15° 72°19' -58' 15° 73°17' -57' 16° 22

23 66°29' -59' 12° 67°28' -58' 12° 68°27' -58' 13° 69°25' -58' 13° 70°24' -58' 14° 71°22' -58' 15° 72°20' -58' 15° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

4° 356° LHA Latitude SAME as Declination 4° 356° LHA

4° 356° LHA Latitude SAME as Declination

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

5° 355° LHA Latitude SAME as Declination 5° 355° LHA

4° 356° LHA

5° 355° LHA Latitude SAME as Declination 5° 355° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

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Page 6: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 84°00' -05' 90° 83°55' +05' 99° 83°41' +15' 108° 83°18' +23' 116° 82°48' +30' 124° 82°12' +36' 130° 81°31' +41' 135° 0

1 83°55' -14' 81° 84°00' -05' 90° 83°55' +05' 99° 83°41' +15' 108° 83°18' +23' 116° 82°48' +30' 124° 82°12' +36' 130° 1

2 83°41' -23' 72° 83°55' -14' 80° 84°00' -05' 90° 83°55' +05' 99° 83°41' +15' 108° 83°18' +23' 116° 82°48' +30' 124° 2

3 83°18' -30' 63° 83°41' -23' 71° 83°55' -14' 80° 84°00' -05' 90° 83°56' +05' 99° 83°41' +15' 108° 83°19' +23' 116° 3

4 82°48' -36' 56° 83°18' -30' 63° 83°41' -23' 71° 83°56' -14' 80° 84°01' -05' 90° 83°56' +05' 99° 83°42' +15' 108° 4

5 82°12' -40' 50° 82°48' -36' 56° 83°18' -30' 63° 83°41' -23' 71° 83°56' -14' 80° 84°01' -05' 90° 83°57' +05' 99° 5

6 81°31' -44' 45° 82°12' -40' 50° 82°48' -36' 56° 83°19' -30' 63° 83°42' -23' 71° 83°57' -14' 80° 84°02' -05' 90° 6

7 80°47' -47' 40° 81°32' -44' 45° 82°12' -40' 50° 82°49' -36' 56° 83°19' -30' 63° 83°42' -23' 71° 83°57' -14' 80° 7

8 80°01' -49' 37° 80°48' -47' 40° 81°32' -44' 45° 82°13' -40' 50° 82°49' -36' 56° 83°20' -30' 63° 83°43' -23' 71° 8

9 79°12' -51' 33° 80°01' -49' 37° 80°48' -47' 40° 81°32' -44' 45° 82°13' -40' 50° 82°50' -36' 56° 83°20' -30' 63° 9

10 78°21' -52' 31° 79°12' -51' 33° 80°01' -49' 36° 80°48' -47' 40° 81°33' -44' 44° 82°14' -40' 50° 82°50' -36' 56° 10

11 77°29' -53' 28° 78°22' -52' 31° 79°12' -51' 33° 80°02' -49' 36° 80°49' -47' 40° 81°33' -44' 44° 82°15' -40' 49° 11

12 76°36' -54' 26° 77°30' -53' 28° 78°22' -52' 30° 79°13' -51' 33° 80°02' -49' 36° 80°50' -47' 40° 81°34' -44' 44° 12

13 75°42' -55' 24° 76°37' -54' 26° 77°30' -53' 28° 78°22' -52' 30° 79°13' -51' 33° 80°03' -49' 36° 80°50' -47' 40° 13

14 74°48' -55' 23° 75°43' -55' 24° 76°37' -54' 26° 77°30' -53' 28° 78°23' -52' 30° 79°14' -51' 33° 80°03' -49' 36° 14

15 73°52' -56' 21° 74°48' -55' 23° 75°43' -55' 24° 76°37' -54' 26° 77°31' -53' 28° 78°23' -52' 30° 79°15' -51' 33° 15

16 72°56' -56' 20° 73°53' -56' 21° 74°48' -55' 23° 75°43' -55' 24° 76°38' -54' 26° 77°31' -53' 28° 78°24' -52' 30° 16

17 72°00' -57' 19° 72°57' -56' 20° 73°53' -56' 21° 74°49' -55' 22° 75°44' -55' 24° 76°38' -54' 26° 77°32' -53' 28° 17

18 71°03' -57' 18° 72°00' -57' 19° 72°57' -56' 20° 73°53' -56' 21° 74°49' -55' 22° 75°44' -55' 24° 76°39' -54' 25° 18

19 70°07' -57' 17° 71°04' -57' 18° 72°01' -57' 19° 72°57' -56' 20° 73°54' -56' 21° 74°50' -55' 22° 75°45' -55' 24° 19

20 69°09' -57' 16° 70°07' -57' 17° 71°04' -57' 18° 72°01' -57' 19° 72°58' -56' 20° 73°54' -56' 21° 74°50' -55' 22° 20

21 68°12' -58' 15° 69°10' -57' 16° 70°07' -57' 17° 71°05' -57' 18° 72°02' -57' 18° 72°58' -56' 19° 73°55' -56' 21° 21

22 67°14' -58' 15° 68°12' -58' 15° 69°10' -57' 16° 70°08' -57' 17° 71°05' -57' 17° 72°02' -57' 18° 72°59' -56' 19° 22

23 66°16' -58' 14° 67°14' -58' 14° 68°13' -58' 15° 69°10' -57' 16° 70°08' -57' 16° 71°05' -57' 17° 72°03' -57' 18° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 83°00' -04' 90° 82°56' +04' 98° 82°43' +13' 106° 82°23' +20' 113° 81°57' +27' 120° 81°24' +33' 125° 80°47' +37' 130° 0

1 82°56' -12' 82° 83°00' -04' 90° 82°56' +04' 98° 82°43' +13' 106° 82°23' +20' 113° 81°57' +27' 120° 81°25' +33' 125° 1

2 82°43' -20' 74° 82°56' -12' 82° 83°00' -04' 90° 82°56' +04' 98° 82°44' +13' 106° 82°24' +20' 113° 81°57' +27' 120° 2

3 82°23' -27' 67° 82°43' -20' 74° 82°56' -12' 82° 83°01' -04' 90° 82°57' +05' 98° 82°44' +13' 106° 82°24' +20' 113° 3

4 81°57' -32' 60° 82°23' -27' 67° 82°44' -20' 74° 82°57' -12' 82° 83°01' -04' 90° 82°57' +05' 98° 82°45' +13' 106° 4

5 81°24' -37' 54° 81°57' -32' 60° 82°24' -27' 67° 82°44' -20' 74° 82°57' -12' 82° 83°02' -04' 90° 82°58' +05' 98° 5

6 80°47' -41' 49° 81°25' -37' 54° 81°57' -32' 60° 82°24' -27' 66° 82°45' -20' 74° 82°58' -12' 82° 83°02' -04' 90° 6

7 80°07' -44' 45° 80°48' -41' 49° 81°25' -37' 54° 81°58' -32' 60° 82°25' -27' 66° 82°45' -20' 74° 82°58' -12' 81° 7

8 79°23' -46' 41° 80°07' -44' 45° 80°48' -41' 49° 81°26' -37' 54° 81°58' -32' 60° 82°26' -27' 66° 82°46' -20' 74° 8

9 78°37' -48' 38° 79°23' -46' 41° 80°08' -44' 45° 80°49' -41' 49° 81°26' -37' 54° 81°59' -32' 60° 82°26' -27' 66° 9

10 77°49' -50' 35° 78°37' -48' 37° 79°24' -46' 41° 80°08' -44' 44° 80°49' -41' 49° 81°27' -37' 54° 82°00' -32' 60° 10

11 76°59' -51' 32° 77°49' -50' 35° 78°38' -48' 37° 79°24' -46' 41° 80°09' -44' 44° 80°50' -41' 49° 81°28' -37' 54° 11

12 76°08' -52' 30° 76°59' -51' 32° 77°50' -50' 34° 78°38' -48' 37° 79°25' -46' 40° 80°09' -44' 44° 80°51' -41' 49° 12

13 75°16' -53' 28° 76°08' -52' 30° 77°00' -51' 32° 77°50' -50' 34° 78°39' -48' 37° 79°26' -46' 40° 80°10' -44' 44° 13

14 74°23' -54' 26° 75°16' -53' 28° 76°09' -52' 30° 77°01' -51' 32° 77°51' -50' 34° 78°40' -48' 37° 79°27' -46' 40° 14

15 73°29' -55' 24° 74°23' -54' 26° 75°17' -53' 28° 76°09' -52' 29° 77°01' -51' 32° 77°52' -50' 34° 78°40' -48' 37° 15

16 72°34' -55' 23° 73°29' -55' 24° 74°24' -54' 26° 75°17' -53' 27° 76°10' -52' 29° 77°02' -51' 31° 77°52' -50' 34° 16

17 71°39' -56' 22° 72°35' -55' 23° 73°30' -55' 24° 74°24' -54' 26° 75°18' -53' 27° 76°11' -52' 29° 77°03' -51' 31° 17

18 70°44' -56' 21° 71°40' -56' 22° 72°35' -55' 23° 73°30' -55' 24° 74°25' -54' 26° 75°19' -53' 27° 76°11' -52' 29° 18

19 69°48' -56' 19° 70°44' -56' 20° 71°40' -56' 21° 72°36' -55' 23° 73°31' -55' 24° 74°25' -54' 25° 75°19' -53' 27° 19

20 68°51' -57' 19° 69°48' -56' 19° 70°45' -56' 20° 71°41' -56' 21° 72°36' -55' 23° 73°32' -55' 24° 74°26' -54' 25° 20

21 67°55' -57' 18° 68°52' -57' 18° 69°49' -56' 19° 70°45' -56' 20° 71°41' -56' 21° 72°37' -55' 22° 73°32' -55' 24° 21

22 66°58' -57' 17° 67°55' -57' 17° 68°52' -57' 18° 69°49' -56' 19° 70°46' -56' 20° 71°42' -56' 21° 72°38' -55' 22° 22

23 66°01' -57' 16° 66°58' -57' 17° 67°56' -57' 17° 68°53' -57' 18° 69°50' -56' 19° 70°46' -56' 20° 71°43' -56' 21° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

Latitude SAME as Declination 6° 354° LHA

6° 354° LHA Latitude SAME as Declination 6° 354° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

6° 354° LHA

7° 353° LHA Latitude SAME as Declination 7° 353° LHA

7° 353° LHA Latitude SAME as Declination 7° 353° LHASouth Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 7: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 82°00' -04' 90° 81°56' +04' 97° 81°45' +11' 104° 81°28' +18' 110° 81°04' +24' 116° 80°34' +30' 122° 80°01' +34' 127° 0

1 81°56' -11' 83° 82°00' -04' 90° 81°56' +04' 97° 81°46' +11' 104° 81°28' +18' 110° 81°04' +24' 116° 80°35' +30' 122° 1

2 81°45' -18' 76° 81°56' -11' 83° 82°00' -04' 90° 81°57' +04' 97° 81°46' +11' 104° 81°28' +18' 110° 81°04' +24' 116° 2

3 81°28' -24' 69° 81°46' -18' 76° 81°57' -11' 83° 82°01' -03' 90° 81°57' +04' 97° 81°46' +11' 104° 81°29' +18' 110° 3

4 81°04' -29' 63° 81°28' -24' 69° 81°46' -18' 76° 81°57' -11' 83° 82°01' -03' 90° 81°58' +04' 97° 81°47' +11' 104° 4

5 80°34' -34' 58° 81°04' -29' 63° 81°28' -24' 69° 81°46' -18' 76° 81°58' -11' 83° 82°02' -03' 90° 81°58' +04' 97° 5

6 80°01' -38' 53° 80°35' -34' 58° 81°04' -29' 63° 81°29' -24' 69° 81°47' -18' 76° 81°58' -11' 82° 82°03' -03' 90° 6

7 79°23' -41' 49° 80°01' -38' 53° 80°35' -34' 58° 81°05' -29' 63° 81°29' -24' 69° 81°48' -18' 75° 81°59' -11' 82° 7

8 78°42' -43' 45° 79°24' -41' 48° 80°02' -38' 53° 80°36' -34' 58° 81°06' -29' 63° 81°30' -24' 69° 81°49' -17' 75° 8

9 77°59' -46' 41° 78°43' -43' 45° 79°24' -41' 48° 80°02' -38' 53° 80°37' -34' 57° 81°07' -29' 63° 81°31' -24' 69° 9

10 77°13' -47' 38° 77°59' -46' 41° 78°43' -43' 44° 79°25' -41' 48° 80°03' -38' 52° 80°38' -34' 57° 81°08' -29' 63° 10

11 76°26' -49' 36° 77°14' -47' 38° 78°00' -46' 41° 78°44' -43' 44° 79°26' -41' 48° 80°04' -38' 52° 80°39' -34' 57° 11

12 75°37' -50' 33° 76°26' -49' 35° 77°14' -47' 38° 78°01' -46' 41° 78°45' -43' 44° 79°26' -41' 48° 80°05' -38' 52° 12

13 74°46' -51' 31° 75°37' -50' 33° 76°27' -49' 35° 77°15' -47' 38° 78°01' -46' 41° 78°46' -43' 44° 79°27' -41' 48° 13

14 73°55' -52' 29° 74°47' -51' 31° 75°38' -50' 33° 76°27' -49' 35° 77°16' -47' 38° 78°02' -46' 41° 78°47' -43' 44° 14

15 73°03' -53' 27° 73°55' -52' 29° 74°47' -51' 31° 75°38' -50' 33° 76°28' -49' 35° 77°17' -47' 38° 78°03' -46' 40° 15

16 72°09' -54' 26° 73°03' -53' 27° 73°56' -52' 29° 74°48' -51' 31° 75°39' -50' 33° 76°29' -49' 35° 77°18' -48' 37° 16

17 71°16' -54' 24° 72°10' -54' 26° 73°04' -53' 27° 73°57' -52' 29° 74°49' -51' 31° 75°40' -50' 33° 76°30' -49' 35° 17

18 70°21' -55' 23° 71°16' -54' 24° 72°11' -54' 26° 73°04' -53' 27° 73°58' -52' 29° 74°50' -51' 30° 75°41' -50' 32° 18

19 69°27' -55' 22° 70°22' -55' 23° 71°17' -54' 24° 72°11' -54' 25° 73°05' -53' 27° 73°58' -52' 28° 74°51' -51' 30° 19

20 68°31' -56' 21° 69°27' -55' 22° 70°23' -55' 23° 71°18' -54' 24° 72°12' -54' 25° 73°06' -53' 27° 73°59' -52' 28° 20

21 67°36' -56' 20° 68°32' -56' 21° 69°28' -55' 22° 70°23' -55' 23° 71°18' -54' 24° 72°13' -54' 25° 73°07' -53' 27° 21

22 66°40' -56' 19° 67°36' -56' 20° 68°32' -56' 21° 69°28' -55' 22° 70°24' -55' 23° 71°19' -54' 24° 72°14' -54' 25° 22

23 65°43' -57' 18° 66°40' -56' 19° 67°37' -56' 20° 68°33' -56' 21° 69°29' -55' 21° 70°25' -55' 22° 71°20' -54' 24° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 81°00' -03' 90° 80°57' +03' 96° 80°47' +10' 102° 80°31' +16' 108° 80°09' +22' 114° 79°43' +27' 119° 79°12' +31' 123° 0

1 80°57' -10' 84° 81°00' -03' 90° 80°57' +03' 96° 80°47' +10' 102° 80°31' +16' 108° 80°10' +22' 114° 79°43' +27' 119° 1

2 80°47' -16' 77° 80°57' -10' 84° 81°00' -03' 90° 80°57' +04' 96° 80°48' +10' 102° 80°32' +16' 108° 80°10' +22' 114° 2

3 80°31' -22' 71° 80°47' -16' 77° 80°57' -10' 83° 81°01' -03' 90° 80°58' +04' 96° 80°48' +10' 102° 80°32' +16' 108° 3

4 80°09' -27' 66° 80°31' -21' 71° 80°48' -16' 77° 80°58' -10' 83° 81°01' -03' 90° 80°58' +04' 96° 80°49' +10' 102° 4

5 79°43' -31' 61° 80°10' -27' 66° 80°32' -21' 71° 80°48' -16' 77° 80°58' -09' 83° 81°02' -03' 90° 80°59' +04' 96° 5

6 79°12' -35' 56° 79°43' -31' 61° 80°10' -27' 66° 80°32' -21' 71° 80°49' -16' 77° 80°59' -09' 83° 81°03' -03' 90° 6

7 78°37' -38' 52° 79°12' -35' 56° 79°44' -31' 61° 80°11' -26' 66° 80°33' -21' 71° 80°50' -16' 77° 81°00' -09' 83° 7

8 77°59' -41' 48° 78°37' -38' 52° 79°13' -35' 56° 79°45' -31' 60° 80°12' -26' 65° 80°34' -21' 71° 80°51' -16' 77° 8

9 77°18' -43' 45° 77°59' -41' 48° 78°38' -38' 52° 79°14' -35' 56° 79°45' -31' 60° 80°13' -26' 65° 80°35' -21' 71° 9

10 76°35' -45' 42° 77°18' -43' 45° 78°00' -41' 48° 78°39' -38' 52° 79°15' -35' 56° 79°46' -31' 60° 80°14' -26' 65° 10

11 75°49' -47' 39° 76°35' -45' 41° 77°19' -43' 44° 78°01' -41' 48° 78°40' -38' 51° 79°16' -35' 55° 79°48' -31' 60° 11

12 75°02' -48' 36° 75°50' -47' 39° 76°36' -45' 41° 77°20' -43' 44° 78°02' -41' 48° 78°41' -38' 51° 79°17' -35' 55° 12

13 74°14' -50' 34° 75°03' -48' 36° 75°51' -47' 39° 76°37' -45' 41° 77°21' -43' 44° 78°03' -41' 47° 78°42' -38' 51° 13

14 73°24' -51' 32° 74°15' -50' 34° 75°04' -48' 36° 75°52' -47' 38° 76°38' -45' 41° 77°22' -43' 44° 78°04' -41' 47° 14

15 72°34' -52' 30° 73°25' -51' 32° 74°15' -50' 34° 75°05' -48' 36° 75°52' -47' 38° 76°39' -45' 41° 77°23' -43' 44° 15

16 71°42' -52' 29° 72°34' -52' 30° 73°26' -51' 32° 74°16' -50' 34° 75°06' -48' 36° 75°54' -47' 38° 76°40' -45' 41° 16

17 70°50' -53' 27° 71°43' -52' 28° 72°35' -52' 30° 73°27' -51' 32° 74°17' -50' 34° 75°07' -48' 36° 75°55' -47' 38° 17

18 69°57' -54' 26° 70°50' -53' 27° 71°43' -52' 28° 72°36' -52' 30° 73°28' -51' 32° 74°18' -50' 33° 75°08' -48' 35° 18

19 69°03' -54' 24° 69°57' -54' 26° 70°51' -53' 27° 71°44' -52' 28° 72°37' -52' 30° 73°29' -51' 31° 74°19' -50' 33° 19

20 68°09' -55' 23° 69°04' -54' 24° 69°58' -54' 25° 70°52' -53' 27° 71°45' -52' 28° 72°38' -52' 29° 73°30' -51' 31° 20

21 67°14' -55' 22° 68°09' -55' 23° 69°04' -54' 24° 69°59' -54' 25° 70°53' -53' 26° 71°46' -52' 28° 72°39' -52' 29° 21

22 66°19' -55' 21° 67°15' -55' 22° 68°10' -55' 23° 69°05' -54' 24° 70°00' -54' 25° 70°54' -53' 26° 71°47' -52' 28° 22

23 65°23' -56' 20° 66°20' -55' 21° 67°15' -55' 22° 68°11' -55' 23° 69°06' -54' 24° 70°01' -54' 25° 70°55' -53' 26° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

8° 352° LHA Latitude SAME as Declination 8° 352° LHA

9° 351° LHA Latitude SAME as Declination 9° 351° LHA

9° 351° LHA Latitude SAME as Declination 9° 351° LHA

8° 352° LHA Latitude SAME as Declination 8° 352° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

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Page 8: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 80°00' -03' 90° 79°57' +03' 96° 79°48' +09' 101° 79°34' +15' 107° 79°14' +20' 112° 78°50' +25' 116° 78°21' +29' 121° 0

1 79°57' -09' 84° 80°00' -03' 90° 79°57' +03' 96° 79°49' +09' 101° 79°34' +15' 106° 79°15' +20' 112° 78°50' +25' 116° 1

2 79°48' -14' 79° 79°57' -09' 84° 80°00' -03' 90° 79°58' +03' 95° 79°49' +09' 101° 79°35' +15' 106° 79°15' +20' 111° 2

3 79°34' -20' 73° 79°49' -14' 79° 79°58' -09' 84° 80°01' -03' 90° 79°58' +03' 95° 79°50' +09' 101° 79°35' +15' 106° 3

4 79°14' -24' 68° 79°34' -20' 73° 79°49' -14' 78° 79°58' -09' 84° 80°01' -03' 90° 79°59' +03' 95° 79°50' +09' 101° 4

5 78°50' -29' 63° 79°15' -24' 68° 79°35' -19' 73° 79°50' -14' 78° 79°59' -08' 84° 80°02' -03' 90° 80°00' +04' 95° 5

6 78°21' -32' 59° 78°50' -29' 63° 79°15' -24' 68° 79°35' -19' 73° 79°50' -14' 78° 80°00' -08' 84° 80°03' -02' 89° 6

7 77°49' -36' 55° 78°22' -32' 59° 78°51' -29' 63° 79°16' -24' 68° 79°36' -19' 73° 79°51' -14' 78° 80°01' -08' 84° 7

8 77°13' -39' 51° 77°49' -36' 55° 78°22' -32' 59° 78°52' -28' 63° 79°17' -24' 68° 79°37' -19' 73° 79°53' -14' 78° 8

9 76°35' -41' 48° 77°14' -38' 51° 77°50' -36' 54° 78°23' -32' 58° 78°53' -28' 63° 79°18' -24' 67° 79°39' -19' 73° 9

10 75°54' -43' 45° 76°35' -41' 48° 77°15' -38' 51° 77°51' -36' 54° 78°24' -32' 58° 78°54' -28' 63° 79°19' -24' 67° 10

11 75°11' -45' 42° 75°54' -43' 44° 76°36' -41' 47° 77°16' -38' 51° 77°52' -36' 54° 78°26' -32' 58° 78°55' -28' 63° 11

12 74°26' -47' 39° 75°11' -45' 42° 75°55' -43' 44° 76°37' -41' 47° 77°17' -38' 50° 77°53' -36' 54° 78°27' -32' 58° 12

13 73°39' -48' 37° 74°26' -46' 39° 75°12' -45' 41° 75°56' -43' 44° 76°38' -41' 47° 77°18' -38' 50° 77°55' -36' 54° 13

14 72°51' -49' 35° 73°40' -48' 37° 74°27' -46' 39° 75°13' -45' 41° 75°57' -43' 44° 76°39' -41' 47° 77°19' -38' 50° 14

15 72°02' -50' 33° 72°52' -49' 35° 73°41' -48' 37° 74°28' -46' 39° 75°14' -45' 41° 75°58' -43' 44° 76°41' -41' 47° 15

16 71°12' -51' 31° 72°03' -50' 33° 72°53' -49' 35° 73°42' -48' 36° 74°29' -46' 39° 75°15' -45' 41° 76°00' -43' 44° 16

17 70°21' -52' 30° 71°13' -51' 31° 72°04' -50' 33° 72°54' -49' 34° 73°43' -48' 36° 74°31' -46' 38° 75°17' -45' 41° 17

18 69°29' -52' 28° 70°22' -52' 29° 71°14' -51' 31° 72°05' -50' 32° 72°55' -49' 34° 73°44' -48' 36° 74°32' -46' 38° 18

19 68°37' -53' 27° 69°30' -52' 28° 70°23' -52' 29° 71°15' -51' 31° 72°06' -50' 32° 72°56' -49' 34° 73°45' -48' 36° 19

20 67°44' -54' 26° 68°38' -53' 27° 69°31' -52' 28° 70°24' -52' 29° 71°16' -51' 31° 72°07' -50' 32° 72°58' -49' 34° 20

21 66°50' -54' 24° 67°45' -54' 25° 68°39' -53' 26° 69°32' -52' 28° 70°25' -52' 29° 71°17' -51' 30° 72°09' -50' 32° 21

22 65°56' -54' 23° 66°51' -54' 24° 67°46' -54' 25° 68°40' -53' 26° 69°33' -52' 27° 70°26' -52' 29° 71°18' -51' 30° 22

23 65°02' -55' 22° 65°57' -54' 23° 66°52' -54' 24° 67°47' -54' 25° 68°41' -53' 26° 69°34' -52' 27° 70°27' -52' 29° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 79°00' -03' 90° 78°57' +03' 95° 78°49' +08' 100° 78°36' +13' 105° 78°18' +18' 110° 77°56' +23' 114° 77°29' +27' 118° 0

1 78°57' -08' 85° 79°00' -03' 90° 78°58' +03' 95° 78°50' +08' 100° 78°37' +14' 105° 78°19' +18' 110° 77°56' +23' 114° 1

2 78°49' -13' 80° 78°58' -08' 85° 79°00' -02' 90° 78°58' +03' 95° 78°50' +08' 100° 78°37' +14' 105° 78°19' +19' 110° 2

3 78°36' -18' 75° 78°50' -13' 80° 78°58' -08' 85° 79°01' -02' 90° 78°59' +03' 95° 78°51' +09' 100° 78°38' +14' 105° 3

4 78°18' -22' 70° 78°37' -18' 75° 78°50' -13' 79° 78°59' -08' 84° 79°02' -02' 90° 78°59' +03' 95° 78°52' +09' 100° 4

5 77°56' -27' 65° 78°19' -22' 70° 78°37' -18' 74° 78°51' -13' 79° 78°59' -08' 84° 79°03' -02' 90° 79°00' +03' 95° 5

6 77°29' -30' 61° 77°56' -26' 65° 78°19' -22' 70° 78°38' -18' 74° 78°52' -13' 79° 79°00' -08' 84° 79°04' -02' 89° 6

7 76°59' -33' 57° 77°30' -30' 61° 77°57' -26' 65° 78°20' -22' 70° 78°39' -18' 74° 78°53' -13' 79° 79°02' -07' 84° 7

8 76°26' -36' 54° 77°00' -33' 57° 77°31' -30' 61° 77°58' -26' 65° 78°21' -22' 69° 78°40' -18' 74° 78°54' -13' 79° 8

9 75°49' -39' 50° 76°26' -36' 53° 77°01' -33' 57° 77°32' -30' 61° 77°59' -26' 65° 78°22' -22' 69° 78°41' -18' 74° 9

10 75°11' -41' 47° 75°50' -39' 50° 76°27' -36' 53° 77°02' -33' 57° 77°33' -30' 61° 78°00' -26' 65° 78°24' -22' 69° 10

11 74°30' -43' 44° 75°11' -41' 47° 75°51' -39' 50° 76°28' -36' 53° 77°03' -33' 57° 77°34' -30' 60° 78°02' -26' 65° 11

12 73°47' -45' 42° 74°30' -43' 44° 75°12' -41' 47° 75°52' -39' 50° 76°30' -36' 53° 77°04' -33' 57° 77°36' -30' 60° 12

13 73°02' -46' 40° 73°47' -45' 42° 74°31' -43' 44° 75°13' -41' 47° 75°53' -39' 50° 76°31' -36' 53° 77°06' -33' 56° 13

14 72°16' -47' 37° 73°03' -46' 39° 73°48' -45' 42° 74°33' -43' 44° 75°15' -41' 47° 75°55' -39' 50° 76°32' -36' 53° 14

15 71°28' -49' 35° 72°17' -47' 37° 73°04' -46' 39° 73°50' -45' 41° 74°34' -43' 44° 75°16' -41' 46° 75°56' -39' 49° 15

16 70°40' -50' 34° 71°29' -48' 35° 72°18' -47' 37° 73°05' -46' 39° 73°51' -45' 41° 74°35' -43' 44° 75°18' -41' 46° 16

17 69°50' -50' 32° 70°41' -49' 33° 71°30' -48' 35° 72°19' -47' 37° 73°06' -46' 39° 73°52' -45' 41° 74°37' -43' 43° 17

18 69°00' -51' 30° 69°51' -50' 32° 70°42' -49' 33° 71°32' -48' 35° 72°20' -47' 37° 73°08' -46' 39° 73°54' -45' 41° 18

19 68°09' -52' 29° 69°01' -51' 30° 69°52' -50' 32° 70°43' -49' 33° 71°33' -48' 35° 72°22' -47' 37° 73°09' -46' 39° 19

20 67°17' -52' 28° 68°10' -52' 29° 69°02' -51' 30° 69°54' -50' 31° 70°44' -49' 33° 71°34' -48' 35° 72°23' -47' 36° 20

21 66°25' -53' 26° 67°18' -52' 27° 68°11' -52' 29° 69°03' -51' 30° 69°55' -50' 31° 70°46' -49' 33° 71°36' -48' 34° 21

22 65°32' -53' 25° 66°26' -53' 26° 67°19' -52' 27° 68°12' -52' 28° 69°05' -51' 30° 69°56' -50' 31° 70°47' -49' 33° 22

23 64°38' -54' 24° 65°33' -53' 25° 66°27' -53' 26° 67°20' -52' 27° 68°13' -52' 28° 69°06' -51' 29° 69°58' -50' 31° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

11° 349° LHA Latitude SAME as Declination 11° 349° LHA

10° 350° LHA Latitude SAME as Declination 10° 350° LHA

10° 350° LHA Latitude SAME as Declination 10° 350° LHA

11° 349° LHA Latitude SAME as Declination 11° 349° LHA

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Page 9: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 78°00' -02' 90° 77°58' +03' 95° 77°50' +08' 99° 77°38' +12' 104° 77°22' +17' 108° 77°01' +21' 112° 76°36' +25' 116° 0

1 77°58' -07' 85° 78°00' -02' 90° 77°58' +03' 95° 77°51' +08' 99° 77°39' +12' 104° 77°22' +17' 108° 77°01' +21' 112° 1

2 77°50' -12' 80° 77°58' -07' 85° 78°00' -02' 90° 77°58' +03' 94° 77°51' +08' 99° 77°39' +13' 104° 77°23' +17' 108° 2

3 77°38' -17' 76° 77°51' -12' 80° 77°58' -07' 85° 78°01' -02' 90° 77°59' +03' 94° 77°52' +08' 99° 77°40' +13' 104° 3

4 77°22' -21' 71° 77°39' -16' 76° 77°51' -12' 80° 77°59' -07' 85° 78°02' -02' 90° 78°00' +03' 94° 77°53' +08' 99° 4

5 77°01' -25' 67° 77°22' -21' 71° 77°39' -16' 76° 77°52' -12' 80° 78°00' -07' 85° 78°03' -02' 89° 78°01' +03' 94° 5

6 76°36' -28' 63° 77°01' -25' 67° 77°23' -21' 71° 77°40' -16' 76° 77°53' -12' 80° 78°01' -07' 85° 78°04' -02' 89° 6

7 76°08' -31' 59° 76°37' -28' 63° 77°02' -24' 67° 77°24' -21' 71° 77°41' -16' 75° 77°54' -12' 80° 78°02' -07' 85° 7

8 75°37' -34' 56° 76°09' -31' 59° 76°38' -28' 63° 77°03' -24' 67° 77°25' -20' 71° 77°42' -16' 75° 77°55' -11' 80° 8

9 75°02' -37' 53° 75°37' -34' 56° 76°10' -31' 59° 76°39' -28' 63° 77°05' -24' 67° 77°26' -20' 71° 77°44' -16' 75° 9

10 74°26' -39' 50° 75°03' -37' 53° 75°38' -34' 56° 76°11' -31' 59° 76°40' -28' 63° 77°06' -24' 66° 77°28' -20' 71° 10

11 73°47' -41' 47° 74°27' -39' 50° 75°04' -37' 52° 75°40' -34' 55° 76°12' -31' 59° 76°42' -28' 62° 77°08' -24' 66° 11

12 73°06' -43' 44° 73°48' -41' 47° 74°28' -39' 49° 75°06' -37' 52° 75°41' -34' 55° 76°14' -31' 59° 76°43' -28' 62° 12

13 72°23' -44' 42° 73°07' -43' 44° 73°49' -41' 47° 74°29' -39' 49° 75°07' -37' 52° 75°43' -34' 55° 76°15' -31' 59° 13

14 71°38' -46' 40° 72°24' -44' 42° 73°08' -43' 44° 73°50' -41' 46° 74°30' -39' 49° 75°09' -37' 52° 75°44' -34' 55° 14

15 70°53' -47' 38° 71°39' -46' 40° 72°25' -44' 42° 73°09' -43' 44° 73°51' -41' 46° 74°32' -39' 49° 75°10' -37' 52° 15

16 70°06' -48' 36° 70°54' -47' 38° 71°41' -46' 39° 72°26' -44' 41° 73°10' -43' 44° 73°53' -41' 46° 74°34' -39' 49° 16

17 69°18' -49' 34° 70°07' -48' 36° 70°55' -47' 37° 71°42' -46' 39° 72°28' -44' 41° 73°12' -43' 43° 73°55' -41' 46° 17

18 68°29' -50' 33° 69°19' -49' 34° 70°08' -48' 36° 70°56' -47' 37° 71°44' -46' 39° 72°29' -44' 41° 73°14' -43' 43° 18

19 67°39' -51' 31° 68°30' -50' 32° 69°20' -49' 34° 70°09' -48' 35° 70°58' -47' 37° 71°45' -46' 39° 72°31' -44' 41° 19

20 66°48' -51' 30° 67°40' -51' 31° 68°31' -50' 32° 69°21' -49' 34° 70°11' -48' 35° 70°59' -47' 37° 71°47' -46' 39° 20

21 65°57' -52' 28° 66°49' -51' 30° 67°41' -51' 31° 68°32' -50' 32° 69°23' -49' 33° 70°13' -48' 35° 71°01' -47' 37° 21

22 65°05' -52' 27° 65°58' -52' 28° 66°51' -51' 29° 67°43' -51' 31° 68°34' -50' 32° 69°25' -49' 33° 70°14' -48' 35° 22

23 64°13' -53' 26° 65°06' -52' 27° 65°59' -52' 28° 66°52' -51' 29° 67°44' -51' 30° 68°36' -50' 32° 69°26' -49' 33° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 77°00' -02' 90° 76°58' +02' 94° 76°51' +07' 99° 76°40' +11' 103° 76°25' +16' 107° 76°05' +20' 111° 75°42' +24' 114° 0

1 76°58' -07' 86° 77°00' -02' 90° 76°58' +03' 94° 76°51' +07' 98° 76°40' +12' 103° 76°25' +16' 107° 76°06' +20' 111° 1

2 76°51' -11' 81° 76°58' -07' 85° 77°00' -02' 90° 76°58' +03' 94° 76°52' +07' 98° 76°41' +12' 103° 76°26' +16' 107° 2

3 76°40' -15' 77° 76°51' -11' 81° 76°58' -07' 85° 77°01' -02' 90° 76°59' +03' 94° 76°53' +07' 98° 76°42' +12' 102° 3

4 76°25' -19' 73° 76°40' -15' 77° 76°52' -11' 81° 76°59' -06' 85° 77°02' -02' 90° 77°00' +03' 94° 76°54' +07' 98° 4

5 76°05' -23' 69° 76°25' -19' 73° 76°41' -15' 77° 76°53' -11' 81° 77°00' -06' 85° 77°03' -02' 89° 77°01' +03' 94° 5

6 75°42' -26' 65° 76°06' -23' 69° 76°26' -19' 72° 76°42' -15' 77° 76°54' -11' 81° 77°01' -06' 85° 77°04' -02' 89° 6

7 75°16' -30' 61° 75°43' -26' 65° 76°07' -23' 68° 76°27' -19' 72° 76°43' -15' 76° 76°55' -11' 81° 77°03' -06' 85° 7

8 74°46' -32' 58° 75°17' -29' 61° 75°44' -26' 65° 76°08' -23' 68° 76°28' -19' 72° 76°44' -15' 76° 76°57' -11' 80° 8

9 74°14' -35' 55° 74°47' -32' 58° 75°18' -29' 61° 75°45' -26' 65° 76°09' -23' 68° 76°30' -19' 72° 76°46' -15' 76° 9

10 73°39' -37' 52° 74°15' -35' 55° 74°48' -32' 58° 75°19' -29' 61° 75°47' -26' 64° 76°11' -23' 68° 76°31' -19' 72° 10

11 73°02' -39' 49° 73°40' -37' 52° 74°16' -35' 55° 74°50' -32' 58° 75°20' -29' 61° 75°48' -26' 64° 76°13' -23' 68° 11

12 72°23' -41' 47° 73°03' -39' 49° 73°41' -37' 52° 74°18' -35' 54° 74°51' -32' 57° 75°22' -29' 61° 75°50' -26' 64° 12

13 71°42' -43' 44° 72°24' -41' 46° 73°04' -39' 49° 73°43' -37' 51° 74°19' -35' 54° 74°53' -32' 57° 75°24' -29' 60° 13

14 70°59' -44' 42° 71°43' -43' 44° 72°25' -41' 46° 73°06' -39' 49° 73°44' -37' 51° 74°21' -35' 54° 74°55' -32' 57° 14

15 70°15' -45' 40° 71°00' -44' 42° 71°44' -43' 44° 72°27' -41' 46° 73°07' -39' 48° 73°46' -37' 51° 74°23' -35' 54° 15

16 69°30' -47' 38° 70°16' -45' 40° 71°02' -44' 42° 71°46' -43' 44° 72°28' -41' 46° 73°09' -39' 48° 73°48' -37' 51° 16

17 68°43' -48' 36° 69°31' -47' 38° 70°18' -45' 40° 71°03' -44' 41° 71°47' -43' 44° 72°30' -41' 46° 73°11' -39' 48° 17

18 67°55' -49' 35° 68°44' -48' 36° 69°32' -47' 38° 70°19' -45' 39° 71°05' -44' 41° 71°49' -43' 43° 72°32' -41' 45° 18

19 67°07' -49' 33° 67°57' -48' 35° 68°46' -48' 36° 69°34' -46' 38° 70°21' -45' 39° 71°07' -44' 41° 71°51' -43' 43° 19

20 66°18' -50' 32° 67°08' -49' 33° 67°58' -48' 34° 68°47' -48' 36° 69°36' -46' 37° 70°23' -45' 39° 71°09' -44' 41° 20

21 65°27' -51' 30° 66°19' -50' 32° 67°10' -49' 33° 68°00' -48' 34° 68°49' -48' 36° 69°37' -46' 37° 70°25' -45' 39° 21

22 64°37' -51' 29° 65°29' -51' 30° 66°20' -50' 31° 67°11' -49' 33° 68°02' -48' 34° 68°51' -48' 35° 69°39' -46' 37° 22

23 63°45' -52' 28° 64°38' -51' 29° 65°30' -51' 30° 66°22' -50' 31° 67°13' -49' 32° 68°03' -48' 34° 68°53' -48' 35° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

12° 348° LHA Latitude SAME as Declination 12° 348° LHA

12° 348° LHA Latitude SAME as Declination 12° 348° LHA

13° 347° LHA Latitude SAME as Declination 13° 347° LHA

13° 347° LHA Latitude SAME as Declination 13° 347° LHA

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Page 10: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 76°00' -02' 90° 75°58' +02' 94° 75°52' +07' 98° 75°41' +11' 102° 75°27' +15' 106° 75°09' +19' 109° 74°48' +22' 113° 0

1 75°58' -06' 86° 76°00' -02' 90° 75°58' +02' 94° 75°52' +07' 98° 75°42' +11' 102° 75°28' +15' 106° 75°10' +19' 109° 1

2 75°52' -10' 82° 75°58' -06' 86° 76°01' -02' 90° 75°59' +02' 94° 75°53' +07' 98° 75°43' +11' 102° 75°29' +15' 105° 2

3 75°41' -14' 78° 75°52' -10' 82° 75°59' -06' 86° 76°01' -02' 90° 75°59' +03' 94° 75°54' +07' 98° 75°44' +11' 102° 3

4 75°27' -18' 74° 75°42' -14' 78° 75°53' -10' 82° 75°59' -06' 85° 76°02' -02' 90° 76°00' +03' 94° 75°55' +07' 98° 4

5 75°09' -22' 70° 75°28' -18' 74° 75°43' -14' 78° 75°54' -10' 81° 76°00' -06' 85° 76°03' -01' 89° 76°02' +03' 93° 5

6 74°48' -25' 67° 75°10' -21' 70° 75°29' -18' 74° 75°44' -14' 77° 75°55' -10' 81° 76°02' -06' 85° 76°05' -01' 89° 6

7 74°23' -28' 63° 74°48' -25' 66° 75°11' -21' 70° 75°30' -18' 73° 75°45' -14' 77° 75°56' -10' 81° 76°03' -06' 85° 7

8 73°55' -31' 60° 74°24' -28' 63° 74°49' -25' 66° 75°12' -21' 70° 75°31' -18' 73° 75°46' -14' 77° 75°58' -10' 81° 8

9 73°24' -33' 57° 73°56' -31' 60° 74°25' -28' 63° 74°51' -25' 66° 75°13' -21' 70° 75°33' -18' 73° 75°48' -14' 77° 9

10 72°51' -35' 54° 73°25' -33' 57° 73°57' -30' 60° 74°26' -28' 63° 74°52' -24' 66° 75°15' -21' 69° 75°34' -17' 73° 10

11 72°16' -37' 51° 72°52' -35' 54° 73°27' -33' 56° 73°59' -30' 59° 74°28' -28' 62° 74°54' -24' 66° 75°17' -21' 69° 11

12 71°38' -39' 49° 72°17' -37' 51° 72°54' -35' 54° 73°28' -33' 56° 74°00' -30' 59° 74°30' -27' 62° 74°56' -24' 66° 12

13 70°59' -41' 46° 71°40' -39' 49° 72°18' -37' 51° 72°55' -35' 53° 73°30' -33' 56° 74°02' -30' 59° 74°32' -27' 62° 13

14 70°18' -43' 44° 71°00' -41' 46° 71°41' -39' 48° 72°20' -37' 51° 72°57' -35' 53° 73°32' -33' 56° 74°04' -30' 59° 14

15 69°36' -44' 42° 70°19' -42' 44° 71°02' -41' 46° 71°43' -39' 48° 72°22' -37' 50° 72°59' -35' 53° 73°34' -33' 56° 15

16 68°52' -45' 40° 69°37' -44' 42° 70°21' -42' 44° 71°04' -41' 46° 71°45' -39' 48° 72°24' -37' 50° 73°01' -35' 53° 16

17 68°07' -46' 38° 68°53' -45' 40° 69°39' -44' 42° 70°23' -42' 44° 71°05' -41' 46° 71°47' -39' 48° 72°26' -37' 50° 17

18 67°20' -47' 37° 68°08' -46' 38° 68°55' -45' 40° 69°40' -44' 41° 70°25' -42' 43° 71°08' -41' 45° 71°49' -39' 47° 18

19 66°33' -48' 35° 67°22' -47' 36° 68°10' -46' 38° 68°56' -45' 40° 69°42' -44' 41° 70°27' -42' 43° 71°10' -41' 45° 19

20 65°45' -49' 34° 66°35' -48' 35° 67°24' -47' 36° 68°11' -46' 38° 68°58' -45' 39° 69°44' -44' 41° 70°29' -42' 43° 20

21 64°56' -50' 32° 65°47' -49' 33° 66°36' -48' 35° 67°25' -47' 36° 68°13' -46' 38° 69°01' -45' 39° 69°47' -44' 41° 21

22 64°07' -50' 31° 64°58' -50' 32° 65°48' -49' 33° 66°38' -48' 34° 67°27' -47' 36° 68°16' -46' 37° 69°03' -45' 39° 22

23 63°16' -51' 30° 64°08' -50' 31° 65°00' -50' 32° 65°50' -49' 33° 66°40' -48' 34° 67°29' -47' 36° 68°18' -46' 37° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 75°00' -02' 90° 74°58' +02' 94° 74°52' +06' 97° 74°43' +10' 101° 74°29' +14' 105° 74°12' +18' 108° 73°52' +21' 111° 0

1 74°58' -06' 86° 75°00' -02' 90° 74°58' +02' 94° 74°53' +06' 97° 74°43' +10' 101° 74°30' +14' 104° 74°13' +18' 108° 1

2 74°52' -10' 82° 74°58' -06' 86° 75°01' -02' 90° 74°59' +02' 93° 74°53' +06' 97° 74°44' +10' 101° 74°31' +14' 104° 2

3 74°43' -13' 79° 74°53' -10' 82° 74°59' -06' 86° 75°01' -02' 90° 75°00' +03' 93° 74°54' +07' 97° 74°45' +10' 101° 3

4 74°29' -17' 75° 74°43' -13' 78° 74°53' -09' 82° 75°00' -05' 86° 75°02' -01' 89° 75°01' +03' 93° 74°55' +07' 97° 4

5 74°12' -20' 71° 74°30' -17' 75° 74°44' -13' 78° 74°54' -09' 82° 75°01' -05' 86° 75°03' -01' 89° 75°02' +03' 93° 5

6 73°52' -23' 68° 74°13' -20' 71° 74°31' -17' 75° 74°45' -13' 78° 74°55' -09' 82° 75°02' -05' 85° 75°05' -01' 89° 6

7 73°29' -26' 65° 73°53' -23' 68° 74°14' -20' 71° 74°32' -17' 74° 74°46' -13' 78° 74°57' -09' 82° 75°04' -05' 85° 7

8 73°03' -29' 61° 73°30' -26' 64° 73°54' -23' 68° 74°16' -20' 71° 74°34' -16' 74° 74°48' -13' 78° 74°59' -09' 81° 8

9 72°34' -31' 59° 73°04' -29' 61° 73°31' -26' 64° 73°56' -23' 67° 74°17' -20' 71° 74°35' -16' 74° 74°50' -13' 78° 9

10 72°02' -34' 56° 72°35' -31' 58° 73°05' -29' 61° 73°33' -26' 64° 73°57' -23' 67° 74°19' -20' 71° 74°37' -16' 74° 10

11 71°28' -36' 53° 72°03' -34' 56° 72°36' -31' 58° 73°07' -29' 61° 73°34' -26' 64° 73°59' -23' 67° 74°21' -20' 70° 11

12 70°53' -38' 51° 71°30' -36' 53° 72°05' -34' 55° 72°38' -31' 58° 73°08' -29' 61° 73°36' -26' 64° 74°01' -23' 67° 12

13 70°15' -39' 48° 70°54' -38' 50° 71°31' -36' 53° 72°07' -34' 55° 72°40' -31' 58° 73°11' -29' 61° 73°39' -26' 64° 13

14 69°36' -41' 46° 70°16' -39' 48° 70°56' -38' 50° 71°33' -36' 53° 72°09' -33' 55° 72°42' -31' 58° 73°13' -29' 60° 14

15 68°55' -42' 44° 69°37' -41' 46° 70°18' -39' 48° 70°57' -38' 50° 71°35' -36' 52° 72°11' -33' 55° 72°44' -31' 57° 15

16 68°12' -44' 42° 68°56' -42' 44° 69°39' -41' 46° 70°20' -39' 48° 71°00' -38' 50° 71°37' -36' 52° 72°13' -33' 55° 16

17 67°29' -45' 40° 68°14' -44' 42° 68°58' -42' 44° 69°41' -41' 45° 70°22' -39' 47° 71°02' -37' 50° 71°40' -36' 52° 17

18 66°44' -46' 39° 67°30' -45' 40° 68°16' -44' 42° 69°00' -42' 43° 69°43' -41' 45° 70°24' -39' 47° 71°04' -37' 49° 18

19 65°58' -47' 37° 66°45' -46' 38° 67°32' -45' 40° 68°18' -44' 41° 69°02' -42' 43° 69°45' -41' 45° 70°27' -39' 47° 19

20 65°11' -48' 35° 66°00' -47' 37° 66°47' -46' 38° 67°34' -45' 40° 68°20' -44' 41° 69°04' -42' 43° 69°48' -41' 45° 20

21 64°23' -48' 34° 65°13' -48' 35° 66°02' -47' 36° 66°49' -46' 38° 67°36' -45' 39° 68°22' -44' 41° 69°07' -42' 43° 21

22 63°35' -49' 33° 64°25' -48' 34° 65°15' -48' 35° 66°04' -47' 36° 66°52' -46' 38° 67°39' -45' 39° 68°25' -44' 41° 22

23 62°46' -50' 31° 63°37' -49' 32° 64°27' -48' 34° 65°17' -48' 35° 66°06' -47' 36° 66°54' -46' 37° 67°41' -45' 39° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

14° 346° LHA Latitude SAME as Declination 14° 346° LHA

15° 345° LHA Latitude SAME as Declination 15° 345° LHA

15° 345° LHA Latitude SAME as Declination 15° 345° LHA

14° 346° LHA Latitude SAME as Declination 14° 346° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

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Page 11: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 74°00' -02' 90° 73°58' +02' 93° 73°53' +06' 97° 73°44' +09' 100° 73°31' +13' 104° 73°15' +17' 107° 72°56' +20' 110° 0

1 73°58' -05' 86° 74°00' -02' 90° 73°58' +02' 93° 73°53' +06' 97° 73°44' +10' 100° 73°32' +13' 104° 73°16' +17' 107° 1

2 73°53' -09' 83° 73°58' -05' 86° 74°01' -02' 90° 73°59' +02' 93° 73°54' +06' 97° 73°45' +10' 100° 73°33' +13' 103° 2

3 73°44' -12' 79° 73°53' -09' 83° 73°59' -05' 86° 74°01' -01' 90° 74°00' +02' 93° 73°55' +06' 97° 73°46' +10' 100° 3

4 73°31' -16' 76° 73°44' -12' 79° 73°54' -09' 82° 74°00' -05' 86° 74°02' -01' 89° 74°01' +03' 93° 73°56' +06' 96° 4

5 73°15' -19' 72° 73°32' -16' 76° 73°45' -12' 79° 73°55' -09' 82° 74°01' -05' 86° 74°04' -01' 89° 74°03' +03' 93° 5

6 72°56' -22' 69° 73°16' -19' 72° 73°33' -16' 75° 73°46' -12' 79° 73°56' -08' 82° 74°03' -05' 86° 74°05' -01' 89° 6

7 72°34' -25' 66° 72°57' -22' 69° 73°17' -19' 72° 73°34' -15' 75° 73°48' -12' 79° 73°58' -08' 82° 74°04' -05' 86° 7

8 72°09' -27' 63° 72°35' -25' 66° 72°59' -22' 69° 73°19' -19' 72° 73°36' -15' 75° 73°49' -12' 78° 74°00' -08' 82° 8

9 71°42' -30' 60° 72°11' -27' 63° 72°37' -25' 66° 73°00' -22' 69° 73°20' -19' 72° 73°38' -15' 75° 73°52' -12' 78° 9

10 71°12' -32' 57° 71°43' -30' 60° 72°12' -27' 63° 72°38' -25' 65° 73°02' -22' 68° 73°22' -18' 72° 73°40' -15' 75° 10

11 70°40' -34' 55° 71°13' -32' 57° 71°45' -30' 60° 72°14' -27' 62° 72°40' -24' 65° 73°04' -22' 68° 73°25' -18' 71° 11

12 70°06' -36' 52° 70°41' -34' 55° 71°15' -32' 57° 71°47' -30' 60° 72°16' -27' 62° 72°42' -24' 65° 73°06' -21' 68° 12

13 69°30' -38' 50° 70°07' -36' 52° 70°43' -34' 54° 71°17' -32' 57° 71°49' -30' 59° 72°18' -27' 62° 72°45' -24' 65° 13

14 68°52' -39' 48° 69°31' -38' 50° 70°09' -36' 52° 70°45' -34' 54° 71°19' -32' 57° 71°51' -30' 59° 72°21' -27' 62° 14

15 68°12' -41' 46° 68°53' -39' 48° 69°33' -38' 50° 70°11' -36' 52° 70°47' -34' 54° 71°21' -32' 56° 71°54' -29' 59° 15

16 67°31' -42' 44° 68°14' -41' 46° 68°55' -39' 47° 69°35' -38' 49° 70°13' -36' 52° 70°50' -34' 54° 71°24' -32' 56° 16

17 66°49' -43' 42° 67°33' -42' 44° 68°16' -41' 45° 68°57' -39' 47° 69°37' -38' 49° 70°16' -36' 51° 70°52' -34' 54° 17

18 66°06' -45' 40° 66°51' -43' 42° 67°35' -42' 43° 68°18' -41' 45° 69°00' -39' 47° 69°40' -38' 49° 70°18' -36' 51° 18

19 65°21' -46' 39° 66°08' -44' 40° 66°53' -43' 42° 67°37' -42' 43° 68°20' -41' 45° 69°02' -39' 47° 69°43' -38' 49° 19

20 64°36' -46' 37° 65°23' -45' 38° 66°10' -44' 40° 66°55' -43' 41° 67°40' -42' 43° 68°23' -41' 45° 69°05' -39' 47° 20

21 63°49' -47' 36° 64°38' -46' 37° 65°25' -45' 38° 66°12' -44' 40° 66°58' -43' 41° 67°42' -42' 43° 68°26' -41' 44° 21

22 63°02' -48' 34° 63°51' -47' 35° 64°40' -46' 37° 65°27' -45' 38° 66°14' -44' 39° 67°00' -43' 41° 67°45' -42' 42° 22

23 62°14' -49' 33° 63°04' -48' 34° 63°53' -47' 35° 64°42' -46' 36° 65°30' -45' 38° 66°17' -44' 39° 67°03' -43' 41° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 73°00' -02' 90° 72°58' +02' 93° 72°53' +05' 97° 72°45' +09' 100° 72°33' +12' 103° 72°18' +16' 106° 72°00' +19' 109° 0

1 72°58' -05' 87° 73°00' -02' 90° 72°59' +02' 93° 72°54' +06' 96° 72°45' +09' 100° 72°34' +13' 103° 72°19' +16' 106° 1

2 72°53' -08' 83° 72°59' -05' 86° 73°01' -01' 90° 72°59' +02' 93° 72°54' +06' 96° 72°46' +09' 99° 72°35' +13' 103° 2

3 72°45' -12' 80° 72°54' -08' 83° 72°59' -05' 86° 73°01' -01' 90° 73°00' +02' 93° 72°56' +06' 96° 72°47' +09' 99° 3

4 72°33' -15' 77° 72°45' -12' 80° 72°54' -08' 83° 73°00' -05' 86° 73°03' -01' 89° 73°01' +02' 93° 72°57' +06' 96° 4

5 72°18' -18' 73° 72°34' -15' 76° 72°46' -11' 80° 72°56' -08' 83° 73°01' -05' 86° 73°04' -01' 89° 73°03' +03' 93° 5

6 72°00' -21' 70° 72°19' -18' 73° 72°35' -15' 76° 72°47' -11' 79° 72°57' -08' 83° 73°03' -04' 86° 73°06' -01' 89° 6

7 71°39' -24' 67° 72°01' -21' 70° 72°20' -18' 73° 72°36' -15' 76° 72°49' -11' 79° 72°59' -08' 82° 73°05' -04' 86° 7

8 71°16' -26' 64° 71°40' -23' 67° 72°02' -21' 70° 72°22' -18' 73° 72°38' -14' 76° 72°51' -11' 79° 73°01' -08' 82° 8

9 70°50' -28' 62° 71°17' -26' 64° 71°42' -23' 67° 72°04' -20' 70° 72°23' -17' 73° 72°40' -14' 76° 72°53' -11' 79° 9

10 70°21' -31' 59° 70°51' -28' 61° 71°19' -26' 64° 71°44' -23' 67° 72°06' -20' 70° 72°26' -17' 72° 72°42' -14' 76° 10

11 69°50' -33' 56° 70°23' -31' 59° 70°53' -28' 61° 71°20' -26' 64° 71°46' -23' 66° 72°08' -20' 69° 72°28' -17' 72° 11

12 69°18' -35' 54° 69°52' -33' 56° 70°24' -31' 59° 70°55' -28' 61° 71°23' -26' 64° 71°48' -23' 66° 72°11' -20' 69° 12

13 68°43' -36' 52° 69°19' -35' 54° 69°54' -33' 56° 70°26' -30' 58° 70°57' -28' 61° 71°25' -26' 63° 71°51' -23' 66° 13

14 68°07' -38' 50° 68°45' -36' 51° 69°21' -35' 54° 69°56' -33' 56° 70°29' -30' 58° 70°59' -28' 61° 71°28' -26' 63° 14

15 67°29' -39' 47° 68°08' -38' 49° 68°47' -36' 51° 69°23' -34' 53° 69°58' -32' 56° 70°31' -30' 58° 71°02' -28' 60° 15

16 66°49' -41' 46° 67°30' -39' 47° 68°10' -38' 49° 68°49' -36' 51° 69°26' -34' 53° 70°01' -32' 55° 70°34' -30' 58° 16

17 66°08' -42' 44° 66°51' -41' 45° 67°33' -39' 47° 68°13' -38' 49° 68°51' -36' 51° 69°29' -34' 53° 70°04' -32' 55° 17

18 65°26' -43' 42° 66°10' -42' 43° 66°53' -41' 45° 67°35' -39' 47° 68°15' -38' 49° 68°54' -36' 51° 69°31' -34' 53° 18

19 64°43' -44' 40° 65°28' -43' 42° 66°12' -42' 43° 66°56' -41' 45° 67°37' -39' 47° 68°18' -38' 48° 68°57' -36' 50° 19

20 63°59' -45' 39° 64°45' -44' 40° 65°30' -43' 42° 66°15' -42' 43° 66°58' -41' 45° 67°40' -39' 46° 68°21' -38' 48° 20

21 63°14' -46' 37° 64°01' -45' 39° 64°47' -44' 40° 65°33' -43' 41° 66°18' -42' 43° 67°01' -41' 44° 67°43' -39' 46° 21

22 62°27' -47' 36° 63°16' -46' 37° 64°03' -45' 38° 64°50' -44' 40° 65°36' -43' 41° 66°20' -42' 42° 67°04' -41' 44° 22

23 61°41' -48' 35° 62°30' -47' 36° 63°18' -46' 37° 64°06' -45' 38° 64°53' -44' 39° 65°39' -43' 41° 66°23' -42' 42° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

17° 343° LHA Latitude SAME as Declination 17° 343° LHA

16° 344° LHA Latitude SAME as Declination 16° 344° LHA

16° 344° LHA Latitude SAME as Declination 16° 344° LHA

17° 343° LHA Latitude SAME as Declination 17° 343° LHA

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Page 12: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 72°00' -02' 90° 71°58' +02' 93° 71°54' +05' 96° 71°46' +08' 99° 71°35' +12' 102° 71°20' +15' 105° 71°03' +18' 108° 0

1 71°58' -05' 87° 72°00' -01' 90° 71°59' +02' 93° 71°54' +05' 96° 71°46' +09' 99° 71°35' +12' 102° 71°21' +15' 105° 1

2 71°54' -08' 84° 71°59' -05' 87° 72°01' -01' 90° 71°59' +02' 93° 71°55' +05' 96° 71°47' +09' 99° 71°36' +12' 102° 2

3 71°46' -11' 80° 71°54' -08' 83° 71°59' -04' 86° 72°01' -01' 90° 72°00' +02' 93° 71°56' +06' 96° 71°49' +09' 99° 3

4 71°35' -14' 77° 71°46' -11' 80° 71°55' -08' 83° 72°00' -04' 86° 72°03' -01' 89° 72°02' +02' 92° 71°58' +06' 96° 4

5 71°20' -17' 74° 71°35' -14' 77° 71°47' -11' 80° 71°56' -08' 83° 72°02' -04' 86° 72°04' -01' 89° 72°03' +03' 92° 5

6 71°03' -20' 71° 71°21' -17' 74° 71°36' -14' 77° 71°49' -11' 80° 71°58' -07' 83° 72°03' -04' 86° 72°06' -01' 89° 6

7 70°44' -22' 68° 71°05' -20' 71° 71°23' -17' 74° 71°38' -14' 77° 71°50' -10' 80° 71°59' -07' 83° 72°05' -04' 86° 7

8 70°21' -25' 66° 70°45' -22' 68° 71°06' -19' 71° 71°24' -17' 74° 71°40' -14' 77° 71°52' -10' 80° 72°01' -07' 83° 8

9 69°57' -27' 63° 70°23' -25' 65° 70°47' -22' 68° 71°08' -19' 71° 71°26' -16' 73° 71°42' -13' 76° 71°54' -10' 79° 9

10 69°29' -29' 60° 69°58' -27' 63° 70°24' -25' 65° 70°48' -22' 68° 71°10' -19' 70° 71°28' -16' 73° 71°44' -13' 76° 10

11 69°00' -31' 58° 69°31' -29' 60° 70°00' -27' 62° 70°26' -24' 65° 70°51' -22' 68° 71°12' -19' 70° 71°31' -16' 73° 11

12 68°29' -33' 55° 69°02' -31' 58° 69°33' -29' 60° 70°02' -27' 62° 70°29' -24' 65° 70°53' -22' 67° 71°15' -19' 70° 12

13 67°55' -35' 53° 68°30' -33' 55° 69°04' -31' 57° 69°35' -29' 60° 70°04' -27' 62° 70°31' -24' 65° 70°56' -22' 67° 13

14 67°20' -37' 51° 67°57' -35' 53° 68°33' -33' 55° 69°06' -31' 57° 69°37' -29' 59° 70°07' -27' 62° 70°34' -24' 64° 14

15 66°44' -38' 49° 67°22' -37' 51° 67°59' -35' 53° 68°35' -33' 55° 69°09' -31' 57° 69°40' -29' 59° 70°10' -27' 62° 15

16 66°06' -39' 47° 66°46' -38' 49° 67°25' -36' 51° 68°02' -35' 53° 68°37' -33' 55° 69°11' -31' 57° 69°43' -29' 59° 16

17 65°26' -41' 45° 66°08' -39' 47° 66°48' -38' 49° 67°27' -36' 50° 68°05' -35' 52° 68°40' -33' 54° 69°14' -31' 56° 17

18 64°45' -42' 44° 65°28' -41' 45° 66°10' -39' 47° 66°51' -38' 48° 67°30' -36' 50° 68°08' -35' 52° 68°44' -33' 54° 18

19 64°04' -43' 42° 64°48' -42' 43° 65°31' -41' 45° 66°13' -39' 46° 66°53' -38' 48° 67°33' -36' 50° 68°11' -35' 52° 19

20 63°21' -44' 40° 64°06' -43' 42° 64°50' -42' 43° 65°33' -41' 45° 66°16' -39' 46° 66°57' -38' 48° 67°36' -36' 50° 20

21 62°37' -45' 39° 63°23' -44' 40° 64°08' -43' 41° 64°53' -42' 43° 65°36' -41' 44° 66°19' -39' 46° 67°00' -38' 48° 21

22 61°52' -46' 37° 62°39' -45' 39° 63°25' -44' 40° 64°11' -43' 41° 64°56' -42' 43° 65°39' -41' 44° 66°22' -39' 46° 22

23 61°06' -47' 36° 61°54' -46' 37° 62°42' -45' 38° 63°28' -44' 40° 64°14' -43' 41° 64°59' -42' 42° 65°43' -41' 44° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 71°00' -02' 90° 70°58' +02' 93° 70°54' +05' 96° 70°46' +08' 99° 70°36' +11' 101° 70°23' +14' 104° 70°07' +17' 107° 0

1 70°58' -05' 87° 71°00' -01' 90° 70°59' +02' 93° 70°54' +05' 96° 70°47' +08' 98° 70°37' +11' 101° 70°24' +14' 104° 1

2 70°54' -08' 84° 70°59' -04' 87° 71°01' -01' 90° 71°00' +02' 93° 70°55' +05' 95° 70°48' +08' 98° 70°38' +12' 101° 2

3 70°46' -10' 81° 70°54' -07' 84° 71°00' -04' 87° 71°02' -01' 89° 71°01' +02' 92° 70°57' +05' 95° 70°50' +09' 98° 3

4 70°36' -13' 78° 70°47' -10' 81° 70°55' -07' 84° 71°01' -04' 86° 71°03' -01' 89° 71°02' +02' 92° 70°58' +06' 95° 4

5 70°23' -16' 75° 70°37' -13' 78° 70°48' -10' 81° 70°57' -07' 83° 71°02' -04' 86° 71°04' -01' 89° 71°04' +03' 92° 5

6 70°07' -19' 72° 70°24' -16' 75° 70°38' -13' 78° 70°50' -10' 80° 70°58' -07' 83° 71°04' -04' 86° 71°06' 00' 89° 6

7 69°48' -21' 69° 70°08' -19' 72° 70°25' -16' 75° 70°40' -13' 77° 70°51' -10' 80° 71°00' -07' 83° 71°06' -04' 86° 7

8 69°27' -24' 67° 69°49' -21' 69° 70°09' -18' 72° 70°27' -16' 74° 70°41' -13' 77° 70°53' -10' 80° 71°02' -07' 83° 8

9 69°03' -26' 64° 69°28' -24' 66° 69°51' -21' 69° 70°11' -18' 72° 70°29' -16' 74° 70°44' -13' 77° 70°56' -10' 80° 9

10 68°37' -28' 62° 69°04' -26' 64° 69°30' -23' 66° 69°53' -21' 69° 70°13' -18' 71° 70°31' -15' 74° 70°46' -12' 77° 10

11 68°09' -30' 59° 68°39' -28' 61° 69°06' -26' 64° 69°32' -23' 66° 69°55' -21' 69° 70°16' -18' 71° 70°34' -15' 74° 11

12 67°39' -32' 57° 68°11' -30' 59° 68°41' -28' 61° 69°09' -26' 63° 69°34' -23' 66° 69°58' -21' 68° 70°19' -18' 71° 12

13 67°07' -34' 55° 67°41' -32' 57° 68°13' -30' 59° 68°43' -28' 61° 69°11' -25' 63° 69°37' -23' 66° 70°01' -21' 68° 13

14 66°33' -35' 53° 67°09' -34' 54° 67°43' -32' 56° 68°15' -30' 59° 68°46' -28' 61° 69°14' -25' 63° 69°40' -23' 65° 14

15 65°58' -37' 51° 66°35' -35' 52° 67°11' -33' 54° 67°45' -32' 56° 68°18' -30' 58° 68°49' -28' 60° 69°17' -25' 63° 15

16 65°21' -38' 49° 66°00' -37' 50° 66°38' -35' 52° 67°14' -33' 54° 67°48' -32' 56° 68°21' -30' 58° 68°52' -27' 60° 16

17 64°43' -39' 47° 65°23' -38' 48° 66°03' -37' 50° 66°40' -35' 52° 67°17' -33' 54° 67°51' -32' 56° 68°24' -30' 58° 17

18 64°04' -41' 45° 64°45' -39' 47° 65°26' -38' 48° 66°05' -37' 50° 66°43' -35' 52° 67°20' -33' 53° 67°55' -31' 55° 18

19 63°23' -42' 43° 64°06' -41' 45° 64°48' -39' 46° 65°29' -38' 48° 66°08' -37' 50° 66°47' -35' 51° 67°23' -33' 53° 19

20 62°41' -43' 42° 63°25' -42' 43° 64°09' -41' 45° 64°51' -39' 46° 65°32' -38' 48° 66°12' -36' 49° 66°50' -35' 51° 20

21 61°58' -44' 40° 62°44' -43' 42° 63°28' -42' 43° 64°12' -40' 44° 64°54' -39' 46° 65°35' -38' 47° 66°15' -36' 49° 21

22 61°15' -45' 39° 62°01' -44' 40° 62°46' -43' 41° 63°31' -42' 43° 64°15' -40' 44° 64°57' -39' 45° 65°39' -38' 47° 22

23 60°30' -45' 37° 61°17' -45' 39° 62°04' -44' 40° 62°49' -43' 41° 63°34' -42' 42° 64°18' -40' 44° 65°01' -39' 45° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

18° 342° LHA Latitude SAME as Declination 18° 342° LHA

18° 342° LHA Latitude SAME as Declination 18° 342° LHA

19° 341° LHA Latitude SAME as Declination 19° 341° LHA

19° 341° LHA Latitude SAME as Declination 19° 341° LHA

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Page 13: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 70°00' -01' 90° 69°59' +02' 93° 69°54' +05' 95° 69°47' +08' 98° 69°37' +11' 101° 69°25' +14' 103° 69°09' +16' 106° 0

1 69°59' -04' 87° 70°00' -01' 90° 69°59' +02' 93° 69°55' +05' 95° 69°48' +08' 98° 69°38' +11' 101° 69°26' +14' 103° 1

2 69°54' -07' 84° 69°59' -04' 87° 70°01' -01' 90° 70°00' +02' 92° 69°56' +05' 95° 69°49' +08' 98° 69°39' +11' 101° 2

3 69°47' -10' 81° 69°55' -07' 84° 70°00' -04' 87° 70°02' -01' 89° 70°01' +02' 92° 69°57' +05' 95° 69°50' +08' 98° 3

4 69°37' -13' 78° 69°48' -10' 81° 69°56' -07' 84° 70°01' -04' 87° 70°03' -01' 89° 70°02' +02' 92° 69°59' +05' 95° 4

5 69°25' -15' 76° 69°38' -12' 78° 69°49' -10' 81° 69°57' -07' 84° 70°02' -04' 86° 70°05' -01' 89° 70°04' +03' 92° 5

6 69°09' -18' 73° 69°26' -15' 75° 69°39' -12' 78° 69°50' -09' 81° 69°59' -06' 83° 70°04' -03' 86° 70°07' 00' 89° 6

7 68°51' -20' 70° 69°11' -18' 73° 69°27' -15' 75° 69°41' -12' 78° 69°52' -09' 81° 70°01' -06' 83° 70°06' -03' 86° 7

8 68°31' -23' 68° 68°53' -20' 70° 69°12' -18' 73° 69°29' -15' 75° 69°43' -12' 78° 69°54' -09' 80° 70°03' -06' 83° 8

9 68°09' -25' 65° 68°33' -22' 67° 68°55' -20' 70° 69°14' -17' 72° 69°31' -15' 75° 69°45' -12' 77° 69°57' -09' 80° 9

10 67°44' -27' 63° 68°10' -25' 65° 68°35' -22' 67° 68°57' -20' 70° 69°16' -17' 72° 69°34' -15' 75° 69°48' -12' 77° 10

11 67°17' -29' 60° 67°46' -27' 63° 68°12' -25' 65° 68°37' -22' 67° 68°59' -20' 69° 69°19' -17' 72° 69°36' -14' 74° 11

12 66°48' -31' 58° 67°19' -29' 60° 67°48' -27' 62° 68°15' -24' 65° 68°39' -22' 67° 69°02' -20' 69° 69°22' -17' 72° 12

13 66°18' -32' 56° 66°50' -31' 58° 67°21' -29' 60° 67°50' -26' 62° 68°17' -24' 64° 68°42' -22' 67° 69°05' -19' 69° 13

14 65°45' -34' 54° 66°20' -32' 56° 66°53' -30' 58° 67°24' -28' 60° 67°53' -26' 62° 68°20' -24' 64° 68°46' -22' 66° 14

15 65°11' -36' 52° 65°47' -34' 54° 66°22' -32' 56° 66°55' -30' 57° 67°27' -28' 59° 67°56' -26' 62° 68°24' -24' 64° 15

16 64°36' -37' 50° 65°14' -35' 52° 65°50' -34' 53° 66°25' -32' 55° 66°58' -30' 57° 67°30' -28' 59° 68°00' -26' 61° 16

17 63°59' -38' 48° 64°38' -37' 50° 65°16' -35' 51° 65°53' -34' 53° 66°28' -32' 55° 67°02' -30' 57° 67°34' -28' 59° 17

18 63°21' -39' 46° 64°01' -38' 48° 64°41' -37' 50° 65°19' -35' 51° 65°56' -34' 53° 66°31' -32' 55° 67°05' -30' 57° 18

19 62°41' -41' 45° 63°23' -39' 46° 64°04' -38' 48° 64°44' -37' 49° 65°22' -35' 51° 66°00' -34' 53° 66°35' -32' 54° 19

20 62°01' -42' 43° 62°44' -40' 45° 63°26' -39' 46° 64°07' -38' 47° 64°47' -37' 49° 65°26' -35' 51° 66°03' -34' 52° 20

21 61°19' -43' 42° 62°03' -42' 43° 62°47' -40' 44° 63°29' -39' 46° 64°11' -38' 47° 64°51' -37' 49° 65°30' -35' 50° 21

22 60°36' -43' 40° 61°22' -43' 41° 62°06' -41' 43° 62°50' -40' 44° 63°33' -39' 45° 64°14' -38' 47° 64°55' -37' 48° 22

23 59°53' -44' 39° 60°39' -43' 40° 61°25' -42' 41° 62°10' -41' 42° 62°53' -40' 44° 63°36' -39' 45° 64°18' -38' 47° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 69°00' -01' 90° 68°59' +02' 93° 68°55' +04' 95° 68°48' +07' 98° 68°38' +10' 100° 68°26' +13' 103° 68°12' +16' 105° 0

1 68°59' -04' 87° 69°00' -01' 90° 68°59' +02' 92° 68°55' +05' 95° 68°49' +08' 98° 68°39' +10' 100° 68°27' +13' 103° 1

2 68°55' -07' 84° 68°59' -04' 87° 69°01' -01' 90° 69°00' +02' 92° 68°56' +05' 95° 68°50' +08' 97° 68°41' +11' 100° 2

3 68°48' -09' 82° 68°55' -07' 84° 69°00' -04' 87° 69°02' -01' 89° 69°01' +02' 92° 68°57' +05' 95° 68°51' +08' 97° 3

4 68°38' -12' 79° 68°49' -09' 81° 68°56' -06' 84° 69°01' -04' 87° 69°03' -01' 89° 69°03' +02' 92° 68°59' +05' 94° 4

5 68°26' -15' 76° 68°39' -12' 79° 68°50' -09' 81° 68°57' -06' 84° 69°03' -03' 86° 69°05' 00' 89° 69°04' +03' 92° 5

6 68°12' -17' 74° 68°27' -14' 76° 68°41' -12' 79° 68°51' -09' 81° 68°59' -06' 84° 69°04' -03' 86° 69°07' 00' 89° 6

7 67°55' -19' 71° 68°13' -17' 73° 68°29' -14' 76° 68°42' -11' 78° 68°53' -09' 81° 69°01' -06' 83° 69°07' -03' 86° 7

8 67°36' -22' 69° 67°56' -19' 71° 68°15' -17' 73° 68°31' -14' 76° 68°44' -11' 78° 68°55' -09' 81° 69°04' -06' 83° 8

9 67°14' -24' 66° 67°37' -21' 68° 67°58' -19' 71° 68°17' -16' 73° 68°33' -14' 75° 68°47' -11' 78° 68°58' -08' 81° 9

10 66°50' -26' 64° 67°16' -24' 66° 67°39' -21' 68° 68°00' -19' 70° 68°19' -16' 73° 68°36' -14' 75° 68°50' -11' 78° 10

11 66°25' -28' 62° 66°52' -26' 64° 67°18' -23' 66° 67°42' -21' 68° 68°03' -19' 70° 68°22' -16' 73° 68°39' -14' 75° 11

12 65°57' -29' 59° 66°27' -28' 61° 66°55' -25' 63° 67°20' -23' 65° 67°44' -21' 68° 68°06' -19' 70° 68°25' -16' 72° 12

13 65°27' -31' 57° 65°59' -29' 59° 66°29' -27' 61° 66°57' -25' 63° 67°23' -23' 65° 67°47' -21' 67° 68°09' -18' 70° 13

14 64°56' -33' 55° 65°30' -31' 57° 66°02' -29' 59° 66°32' -27' 61° 67°00' -25' 63° 67°26' -23' 65° 67°51' -21' 67° 14

15 64°23' -34' 53° 64°59' -33' 55° 65°32' -31' 57° 66°05' -29' 59° 66°35' -27' 61° 67°03' -25' 63° 67°30' -23' 65° 15

16 63°49' -36' 51° 64°26' -34' 53° 65°01' -33' 55° 65°35' -31' 56° 66°08' -29' 58° 66°38' -27' 60° 67°07' -25' 62° 16

17 63°14' -37' 50° 63°52' -36' 51° 64°29' -34' 53° 65°05' -32' 54° 65°39' -31' 56° 66°11' -29' 58° 66°42' -27' 60° 17

18 62°37' -38' 48° 63°16' -37' 49° 63°55' -36' 51° 64°32' -34' 52° 65°08' -32' 54° 65°42' -31' 56° 66°15' -29' 58° 18

19 61°58' -39' 46° 62°39' -38' 48° 63°19' -37' 49° 63°58' -35' 51° 64°36' -34' 52° 65°12' -32' 54° 65°46' -31' 56° 19

20 61°19' -40' 45° 62°01' -39' 46° 62°42' -38' 47° 63°23' -37' 49° 64°02' -35' 50° 64°39' -34' 52° 65°16' -32' 54° 20

21 60°39' -41' 43° 61°22' -40' 44° 62°04' -39' 46° 62°46' -38' 47° 63°26' -37' 48° 64°05' -35' 50° 64°43' -34' 52° 21

22 59°57' -42' 42° 60°42' -41' 43° 61°25' -40' 44° 62°08' -39' 45° 62°50' -38' 47° 63°30' -37' 48° 64°10' -35' 50° 22

23 59°15' -43' 40° 60°00' -42' 41° 60°45' -41' 42° 61°29' -40' 44° 62°12' -39' 45° 62°54' -38' 46° 63°34' -37' 48° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

20° 340° LHA Latitude SAME as Declination 20° 340° LHA

21° 339° LHA Latitude SAME as Declination 21° 339° LHA

21° 339° LHA Latitude SAME as Declination 21° 339° LHA

20° 340° LHA Latitude SAME as Declination 20° 340° LHA

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Page 14: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 68°00' -01' 90° 67°59' +01' 92° 67°55' +04' 95° 67°48' +07' 97° 67°39' +10' 100° 67°28' +12' 102° 67°14' +15' 105° 0

1 67°59' -04' 87° 68°00' -01' 90° 67°59' +02' 92° 67°55' +04' 95° 67°49' +07' 97° 67°40' +10' 100° 67°29' +13' 102° 1

2 67°55' -06' 85° 67°59' -04' 87° 68°01' -01' 90° 68°00' +02' 92° 67°56' +05' 95° 67°50' +07' 97° 67°42' +10' 99° 2

3 67°48' -09' 82° 67°55' -06' 84° 68°00' -03' 87° 68°02' -01' 89° 68°01' +02' 92° 67°58' +05' 94° 67°52' +08' 97° 3

4 67°39' -11' 79° 67°49' -09' 82° 67°56' -06' 84° 68°01' -03' 87° 68°03' 00' 89° 68°03' +02' 92° 68°00' +05' 94° 4

5 67°28' -14' 77° 67°40' -11' 79° 67°50' -09' 82° 67°58' -06' 84° 68°03' -03' 87° 68°05' 00' 89° 68°05' +03' 92° 5

6 67°14' -16' 74° 67°29' -14' 77° 67°42' -11' 79° 67°52' -08' 81° 68°00' -06' 84° 68°05' -03' 86° 68°07' 00' 89° 6

7 66°58' -18' 72° 67°16' -16' 74° 67°31' -13' 76° 67°44' -11' 79° 67°54' -08' 81° 68°02' -05' 84° 68°07' -03' 86° 7

8 66°40' -21' 69° 67°00' -18' 72° 67°17' -16' 74° 67°33' -13' 76° 67°46' -11' 79° 67°56' -08' 81° 68°05' -05' 83° 8

9 66°19' -23' 67° 66°41' -20' 69° 67°01' -18' 71° 67°19' -16' 74° 67°35' -13' 76° 67°48' -11' 78° 67°59' -08' 81° 9

10 65°56' -25' 65° 66°21' -23' 67° 66°43' -20' 69° 67°04' -18' 71° 67°22' -16' 73° 67°38' -13' 76° 67°51' -10' 78° 10

11 65°32' -27' 63° 65°58' -25' 65° 66°23' -22' 67° 66°46' -20' 69° 67°06' -18' 71° 67°25' -15' 73° 67°41' -13' 76° 11

12 65°05' -28' 60° 65°34' -26' 62° 66°01' -24' 64° 66°26' -22' 66° 66°49' -20' 69° 67°10' -18' 71° 67°28' -15' 73° 12

13 64°37' -30' 58° 65°07' -28' 60° 65°36' -26' 62° 66°03' -24' 64° 66°29' -22' 66° 66°52' -20' 68° 67°13' -17' 70° 13

14 64°07' -32' 56° 64°39' -30' 58° 65°10' -28' 60° 65°39' -26' 62° 66°07' -24' 64° 66°32' -22' 66° 66°56' -20' 68° 14

15 63°35' -33' 54° 64°09' -31' 56° 64°42' -30' 58° 65°13' -28' 60° 65°43' -26' 62° 66°10' -24' 64° 66°36' -22' 66° 15

16 63°02' -35' 53° 63°38' -33' 54° 64°12' -31' 56° 64°45' -30' 58° 65°16' -28' 59° 65°46' -26' 61° 66°14' -24' 63° 16

17 62°27' -36' 51° 63°05' -34' 52° 63°41' -33' 54° 64°15' -31' 56° 64°49' -30' 57° 65°20' -28' 59° 65°50' -26' 61° 17

18 61°52' -37' 49° 62°30' -36' 51° 63°08' -34' 52° 63°44' -33' 54° 64°19' -31' 55° 64°52' -29' 57° 65°24' -28' 59° 18

19 61°15' -38' 47° 61°55' -37' 49° 62°34' -36' 50° 63°11' -34' 52° 63°48' -33' 53° 64°23' -31' 55° 64°57' -29' 57° 19

20 60°36' -39' 46° 61°18' -38' 47° 61°58' -37' 49° 62°37' -36' 50° 63°15' -34' 51° 63°52' -33' 53° 64°27' -31' 55° 20

21 59°57' -40' 44° 60°40' -39' 46° 61°21' -38' 47° 62°02' -37' 48° 62°41' -35' 50° 63°19' -34' 51° 63°56' -33' 53° 21

22 59°17' -41' 43° 60°00' -40' 44° 60°43' -39' 45° 61°25' -38' 47° 62°06' -37' 48° 62°45' -35' 49° 63°24' -34' 51° 22

23 58°36' -42' 41° 59°20' -41' 43° 60°04' -40' 44° 60°47' -39' 45° 61°29' -38' 46° 62°10' -37' 48° 62°50' -35' 49° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 67°00' -01' 90° 66°59' +01' 92° 66°55' +04' 95° 66°49' +07' 97° 66°40' +09' 99° 66°29' +12' 102° 66°16' +14' 104° 0

1 66°59' -04' 87° 67°00' -01' 90° 66°59' +02' 92° 66°56' +04' 94° 66°50' +07' 97° 66°41' +10' 99° 66°31' +12' 101° 1

2 66°55' -06' 85° 66°59' -03' 87° 67°01' -01' 90° 67°00' +02' 92° 66°57' +05' 94° 66°51' +07' 97° 66°43' +10' 99° 2

3 66°49' -09' 82° 66°56' -06' 85° 67°00' -03' 87° 67°02' -01' 89° 67°01' +02' 92° 66°58' +05' 94° 66°53' +07' 96° 3

4 66°40' -11' 80° 66°50' -08' 82° 66°57' -06' 84° 67°01' -03' 87° 67°03' 00' 89° 67°03' +02' 92° 67°00' +05' 94° 4

5 66°29' -13' 77° 66°41' -11' 80° 66°51' -08' 82° 66°58' -06' 84° 67°03' -03' 87° 67°05' 00' 89° 67°05' +03' 91° 5

6 66°16' -15' 75° 66°31' -13' 77° 66°43' -11' 79° 66°53' -08' 82° 67°00' -05' 84° 67°05' -03' 86° 67°08' +00' 89° 6

7 66°01' -18' 73° 66°18' -15' 75° 66°32' -13' 77° 66°45' -10' 79° 66°55' -08' 82° 67°02' -05' 84° 67°08' -02' 86° 7

8 65°43' -20' 70° 66°02' -17' 72° 66°20' -15' 75° 66°34' -13' 77° 66°47' -10' 79° 66°57' -08' 81° 67°05' -05' 84° 8

9 65°23' -22' 68° 65°45' -20' 70° 66°05' -17' 72° 66°22' -15' 74° 66°37' -12' 77° 66°50' -10' 79° 67°00' -07' 81° 9

10 65°02' -24' 66° 65°25' -22' 68° 65°47' -19' 70° 66°07' -17' 72° 66°25' -15' 74° 66°40' -12' 76° 66°53' -10' 79° 10

11 64°38' -26' 64° 65°04' -24' 65° 65°28' -21' 67° 65°50' -19' 70° 66°10' -17' 72° 66°28' -15' 74° 66°43' -12' 76° 11

12 64°13' -27' 61° 64°40' -25' 63° 65°06' -23' 65° 65°31' -21' 67° 65°53' -19' 69° 66°13' -17' 71° 66°31' -14' 74° 12

13 63°45' -29' 59° 64°15' -27' 61° 64°43' -25' 63° 65°09' -23' 65° 65°34' -21' 67° 65°56' -19' 69° 66°17' -17' 71° 13

14 63°16' -30' 57° 63°48' -29' 59° 64°18' -27' 61° 64°46' -25' 63° 65°13' -23' 65° 65°37' -21' 67° 66°00' -19' 69° 14

15 62°46' -32' 56° 63°19' -30' 57° 63°51' -29' 59° 64°21' -27' 61° 64°50' -25' 63° 65°16' -23' 64° 65°41' -21' 66° 15

16 62°14' -33' 54° 62°49' -32' 55° 63°22' -30' 57° 63°54' -29' 59° 64°25' -27' 60° 64°53' -25' 62° 65°20' -23' 64° 16

17 61°41' -35' 52° 62°17' -33' 53° 62°52' -32' 55° 63°26' -30' 57° 63°58' -28' 58° 64°29' -27' 60° 64°58' -25' 62° 17

18 61°06' -36' 50° 61°44' -35' 52° 62°20' -33' 53° 62°56' -32' 55° 63°30' -30' 56° 64°02' -28' 58° 64°33' -27' 60° 18

19 60°30' -37' 49° 61°09' -36' 50° 61°47' -34' 51° 62°24' -33' 53° 63°00' -32' 54° 63°34' -30' 56° 64°06' -28' 58° 19

20 59°53' -38' 47° 60°33' -37' 48° 61°13' -36' 50° 61°51' -34' 51° 62°28' -33' 53° 63°04' -31' 54° 63°38' -30' 56° 20

21 59°15' -39' 46° 59°56' -38' 47° 60°37' -37' 48° 61°17' -36' 49° 61°55' -34' 51° 62°32' -33' 52° 63°08' -31' 54° 21

22 58°36' -40' 44° 59°18' -39' 45° 60°00' -38' 46° 60°41' -37' 48° 61°21' -36' 49° 61°59' -34' 50° 62°37' -33' 52° 22

23 57°55' -41' 43° 58°39' -40' 44° 59°22' -39' 45° 60°04' -38' 46° 60°45' -37' 47° 61°25' -36' 49° 62°04' -34' 50° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

23° 337° LHA Latitude SAME as Declination 23° 337° LHA

22° 338° LHA Latitude SAME as Declination 22° 338° LHA

22° 338° LHA Latitude SAME as Declination 22° 338° LHA

23° 337° LHA Latitude SAME as Declination 23° 337° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 15: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 66°00' -01' 90° 65°59' +01' 92° 65°55' +04' 94° 65°49' +07' 97° 65°41' +09' 99° 65°31' +12' 101° 65°18' +14' 103° 0

1 65°59' -04' 88° 66°00' -01' 90° 65°59' +02' 92° 65°56' +04' 94° 65°50' +07' 96° 65°42' +09' 99° 65°32' +12' 101° 1

2 65°55' -06' 85° 65°59' -03' 87° 66°01' -01' 90° 66°00' +02' 92° 65°57' +04' 94° 65°52' +07' 96° 65°44' +09' 98° 2

3 65°49' -08' 83° 65°56' -06' 85° 66°00' -03' 87° 66°02' -01' 89° 66°01' +02' 92° 65°59' +05' 94° 65°53' +07' 96° 3

4 65°41' -10' 80° 65°50' -08' 82° 65°57' -05' 85° 66°01' -03' 87° 66°04' 00' 89° 66°03' +02' 91° 66°01' +05' 94° 4

5 65°31' -13' 78° 65°42' -10' 80° 65°52' -08' 82° 65°59' -05' 84° 66°03' -03' 87° 66°06' 00' 89° 66°05' +03' 91° 5

6 65°18' -15' 76° 65°32' -12' 78° 65°44' -10' 80° 65°53' -08' 82° 66°01' -05' 84° 66°05' -02' 86° 66°08' +00' 89° 6

7 65°03' -17' 73° 65°20' -15' 75° 65°34' -12' 77° 65°46' -10' 80° 65°56' -07' 82° 66°03' -05' 84° 66°08' -02' 86° 7

8 64°47' -19' 71° 65°05' -17' 73° 65°22' -14' 75° 65°36' -12' 77° 65°48' -10' 79° 65°58' -07' 82° 66°06' -05' 84° 8

9 64°28' -21' 69° 64°49' -19' 71° 65°07' -16' 73° 65°24' -14' 75° 65°39' -12' 77° 65°51' -09' 79° 66°01' -07' 81° 9

10 64°07' -23' 67° 64°30' -21' 68° 64°51' -19' 70° 65°10' -16' 72° 65°27' -14' 75° 65°42' -12' 77° 65°54' -09' 79° 10

11 63°44' -25' 64° 64°09' -23' 66° 64°32' -21' 68° 64°54' -18' 70° 65°13' -16' 72° 65°30' -14' 74° 65°45' -11' 76° 11

12 63°20' -26' 62° 63°47' -24' 64° 64°12' -22' 66° 64°35' -20' 68° 64°57' -18' 70° 65°16' -16' 72° 65°34' -14' 74° 12

13 62°53' -28' 60° 63°22' -26' 62° 63°49' -24' 64° 64°15' -22' 66° 64°39' -20' 68° 65°00' -18' 70° 65°20' -16' 72° 13

14 62°26' -29' 58° 62°56' -28' 60° 63°25' -26' 62° 63°53' -24' 64° 64°18' -22' 66° 64°42' -20' 67° 65°04' -18' 69° 14

15 61°56' -31' 57° 62°28' -29' 58° 62°59' -28' 60° 63°29' -26' 62° 63°56' -24' 63° 64°22' -22' 65° 64°46' -20' 67° 15

16 61°25' -32' 55° 61°59' -31' 56° 62°32' -29' 58° 63°03' -27' 60° 63°32' -26' 61° 64°00' -24' 63° 64°27' -22' 65° 16

17 60°53' -34' 53° 61°28' -32' 55° 62°03' -31' 56° 62°35' -29' 58° 63°07' -27' 59° 63°37' -26' 61° 64°05' -24' 63° 17

18 60°19' -35' 51° 60°56' -33' 53° 61°32' -32' 54° 62°06' -31' 56° 62°39' -29' 57° 63°11' -27' 59° 63°41' -25' 61° 18

19 59°45' -36' 50° 60°23' -35' 51° 61°00' -33' 52° 61°36' -32' 54° 62°11' -30' 55° 62°44' -29' 57° 63°16' -27' 59° 19

20 59°09' -37' 48° 59°48' -36' 49° 60°27' -35' 51° 61°04' -33' 52° 61°40' -32' 54° 62°15' -30' 55° 62°49' -29' 57° 20

21 58°32' -38' 47° 59°12' -37' 48° 59°52' -36' 49° 60°31' -35' 50° 61°08' -33' 52° 61°45' -32' 53° 62°20' -30' 55° 21

22 57°53' -39' 45° 58°35' -38' 46° 59°16' -37' 48° 59°56' -36' 49° 60°35' -34' 50° 61°13' -33' 52° 61°50' -32' 53° 22

23 57°14' -40' 44° 57°57' -39' 45° 58°39' -38' 46° 59°20' -37' 47° 60°01' -36' 49° 60°40' -34' 50° 61°18' -33' 51° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 65°00' -01' 90° 64°59' +01' 92° 64°56' +04' 94° 64°50' +06' 96° 64°42' +09' 99° 64°32' +11' 101° 64°20' +13' 103° 0

1 64°59' -03' 88° 65°00' -01' 90° 64°59' +02' 92° 64°56' +04' 94° 64°51' +07' 96° 64°43' +09' 98° 64°34' +11' 100° 1

2 64°56' -06' 85° 64°59' -03' 87° 65°01' -01' 90° 65°00' +02' 92° 64°57' +04' 94° 64°52' +07' 96° 64°45' +09' 98° 2

3 64°50' -08' 83° 64°56' -05' 85° 65°00' -03' 87° 65°02' 00' 89° 65°02' +02' 91° 64°59' +05' 94° 64°54' +07' 96° 3

4 64°42' -10' 81° 64°51' -08' 83° 64°57' -05' 85° 65°02' -03' 87° 65°04' 00' 89° 65°04' +02' 91° 65°01' +05' 93° 4

5 64°32' -12' 78° 64°43' -10' 80° 64°52' -07' 82° 64°59' -05' 85° 65°04' -02' 87° 65°06' +00' 89° 65°06' +03' 91° 5

6 64°20' -14' 76° 64°34' -12' 78° 64°45' -10' 80° 64°54' -07' 82° 65°01' -05' 84° 65°06' -02' 87° 65°08' +00' 89° 6

7 64°06' -16' 74° 64°22' -14' 76° 64°35' -12' 78° 64°47' -09' 80° 64°56' -07' 82° 65°04' -04' 84° 65°09' -02' 86° 7

8 63°50' -18' 72° 64°08' -16' 74° 64°24' -14' 76° 64°38' -11' 78° 64°49' -09' 80° 64°59' -07' 82° 65°07' -04' 84° 8

9 63°32' -20' 69° 63°52' -18' 71° 64°10' -16' 73° 64°26' -14' 75° 64°40' -11' 77° 64°52' -09' 79° 65°02' -06' 82° 9

10 63°12' -22' 67° 63°34' -20' 69° 63°54' -18' 71° 64°13' -16' 73° 64°29' -13' 75° 64°44' -11' 77° 64°56' -09' 79° 10

11 62°50' -24' 65° 63°14' -22' 67° 63°36' -20' 69° 63°57' -18' 71° 64°16' -15' 73° 64°33' -13' 75° 64°47' -11' 77° 11

12 62°26' -25' 63° 62°52' -23' 65° 63°17' -21' 67° 63°40' -19' 69° 64°00' -17' 71° 64°19' -15' 73° 64°36' -13' 75° 12

13 62°01' -27' 61° 62°29' -25' 63° 62°55' -23' 65° 63°20' -21' 67° 63°43' -19' 68° 64°04' -17' 70° 64°23' -15' 72° 13

14 61°34' -28' 59° 62°04' -27' 61° 62°32' -25' 63° 62°59' -23' 65° 63°24' -21' 66° 63°47' -19' 68° 64°08' -17' 70° 14

15 61°06' -30' 58° 61°37' -28' 59° 62°07' -27' 61° 62°36' -25' 62° 63°03' -23' 64° 63°28' -21' 66° 63°51' -19' 68° 15

16 60°36' -31' 56° 61°09' -30' 57° 61°41' -28' 59° 62°11' -26' 61° 62°40' -25' 62° 63°07' -23' 64° 63°32' -21' 66° 16

17 60°05' -33' 54° 60°39' -31' 56° 61°13' -30' 57° 61°44' -28' 59° 62°15' -26' 60° 62°44' -25' 62° 63°11' -23' 64° 17

18 59°32' -34' 52° 60°08' -32' 54° 60°43' -31' 55° 61°17' -29' 57° 61°49' -28' 58° 62°20' -26' 60° 62°49' -24' 62° 18

19 58°58' -35' 51° 59°36' -34' 52° 60°12' -32' 54° 60°47' -31' 55° 61°21' -29' 56° 61°53' -28' 58° 62°24' -26' 60° 19

20 58°24' -36' 49° 59°02' -35' 51° 59°40' -34' 52° 60°16' -32' 53° 60°52' -31' 55° 61°26' -29' 56° 61°58' -28' 58° 20

21 57°47' -37' 48° 58°27' -36' 49° 59°06' -35' 50° 59°44' -33' 52° 60°21' -32' 53° 60°56' -31' 54° 61°31' -29' 56° 21

22 57°10' -38' 46° 57°51' -37' 47° 58°32' -36' 49° 59°11' -35' 50° 59°49' -33' 51° 60°26' -32' 53° 61°02' -31' 54° 22

23 56°32' -39' 45° 57°14' -38' 46° 57°56' -37' 47° 58°36' -36' 48° 59°16' -35' 50° 59°54' -33' 51° 60°31' -32' 52° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

24° 336° LHA Latitude SAME as Declination 24° 336° LHA

24° 336° LHA Latitude SAME as Declination 24° 336° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

25° 335° LHA Latitude SAME as Declination 25° 335° LHA

25° 335° LHA Latitude SAME as Declination 25° 335° LHASouth Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 16: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 64°00' -01' 90° 63°59' +01' 92° 63°56' +04' 94° 63°50' +06' 96° 63°43' +08' 98° 63°33' +11' 100° 63°22' +13' 102° 0

1 63°59' -03' 88° 64°00' -01' 90° 63°59' +02' 92° 63°56' +04' 94° 63°51' +06' 96° 63°44' +09' 98° 63°35' +11' 100° 1

2 63°56' -05' 85° 63°59' -03' 87° 64°01' -01' 90° 64°00' +02' 92° 63°58' +04' 94° 63°53' +07' 96° 63°46' +09' 98° 2

3 63°50' -07' 83° 63°56' -05' 85° 64°00' -03' 87° 64°02' 00' 89° 64°02' +02' 91° 63°59' +04' 93° 63°55' +07' 95° 3

4 63°43' -10' 81° 63°51' -07' 83° 63°58' -05' 85° 64°02' -02' 87° 64°04' 00' 89° 64°04' +02' 91° 64°01' +05' 93° 4

5 63°33' -12' 79° 63°44' -09' 81° 63°53' -07' 83° 63°59' -05' 85° 64°04' -02' 87° 64°06' +00' 89° 64°06' +03' 91° 5

6 63°22' -14' 77° 63°35' -11' 78° 63°46' -09' 80° 63°55' -07' 82° 64°01' -04' 85° 64°06' -02' 87° 64°09' +00' 89° 6

7 63°08' -16' 74° 63°23' -13' 76° 63°37' -11' 78° 63°48' -09' 80° 63°57' -07' 82° 64°04' -04' 84° 64°09' -02' 86° 7

8 62°53' -17' 72° 63°10' -15' 74° 63°26' -13' 76° 63°39' -11' 78° 63°51' -09' 80° 64°00' -06' 82° 64°07' -04' 84° 8

9 62°35' -19' 70° 62°55' -17' 72° 63°12' -15' 74° 63°28' -13' 76° 63°42' -11' 78° 63°54' -08' 80° 64°03' -06' 82° 9

10 62°16' -21' 68° 62°38' -19' 70° 62°57' -17' 72° 63°15' -15' 74° 63°31' -13' 76° 63°45' -10' 77° 63°57' -08' 79° 10

11 61°55' -23' 66° 62°19' -21' 68° 62°40' -19' 70° 63°00' -17' 71° 63°19' -15' 73° 63°35' -13' 75° 63°49' -10' 77° 11

12 61°32' -24' 64° 61°58' -23' 66° 62°22' -21' 68° 62°44' -19' 69° 63°04' -17' 71° 63°22' -14' 73° 63°39' -12' 75° 12

13 61°08' -26' 62° 61°35' -24' 64° 62°01' -22' 66° 62°25' -20' 67° 62°47' -18' 69° 63°08' -16' 71° 63°26' -14' 73° 13

14 60°42' -27' 60° 61°11' -26' 62° 61°39' -24' 64° 62°05' -22' 65° 62°29' -20' 67° 62°51' -18' 69° 63°12' -16' 71° 14

15 60°15' -29' 59° 60°45' -27' 60° 61°15' -26' 62° 61°42' -24' 63° 62°09' -22' 65° 62°33' -20' 67° 62°56' -18' 69° 15

16 59°46' -30' 57° 60°18' -29' 58° 60°49' -27' 60° 61°19' -25' 61° 61°47' -24' 63° 62°13' -22' 65° 62°38' -20' 66° 16

17 59°16' -31' 55° 59°49' -30' 57° 60°22' -29' 58° 60°53' -27' 59° 61°23' -25' 61° 61°51' -24' 63° 62°18' -22' 64° 17

18 58°44' -33' 53° 59°19' -31' 55° 59°53' -30' 56° 60°26' -28' 58° 60°58' -27' 59° 61°28' -25' 61° 61°56' -23' 62° 18

19 58°12' -34' 52° 58°48' -33' 53° 59°24' -31' 54° 59°58' -30' 56° 60°31' -28' 57° 61°02' -27' 59° 61°33' -25' 60° 19

20 57°38' -35' 50° 58°16' -34' 52° 58°52' -32' 53° 59°28' -31' 54° 60°03' -30' 56° 60°36' -28' 57° 61°08' -27' 59° 20

21 57°03' -36' 49° 57°42' -35' 50° 58°20' -34' 51° 58°57' -32' 53° 59°33' -31' 54° 60°08' -30' 55° 60°41' -28' 57° 21

22 56°27' -37' 47° 57°07' -36' 48° 57°46' -35' 50° 58°25' -34' 51° 59°02' -32' 52° 59°38' -31' 54° 60°13' -29' 55° 22

23 55°50' -38' 46° 56°31' -37' 47° 57°11' -36' 48° 57°51' -35' 49° 58°30' -33' 51° 59°07' -32' 52° 59°44' -31' 53° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 63°00' -01' 90° 62°59' +01' 92° 62°56' +04' 94° 62°51' +06' 96° 62°44' +08' 98° 62°35' +10' 100° 62°23' +13' 102° 0

1 62°59' -03' 88° 63°00' -01' 90° 62°59' +02' 92° 62°57' +04' 94° 62°52' +06' 96° 62°45' +08' 98° 62°36' +11' 99° 1

2 62°56' -05' 86° 62°59' -03' 88° 63°01' -01' 90° 63°00' +02' 91° 62°58' +04' 93° 62°53' +06' 95° 62°47' +09' 97° 2

3 62°51' -07' 83° 62°57' -05' 85° 63°00' -03' 87° 63°02' 00' 89° 63°02' +02' 91° 63°00' +04' 93° 62°55' +07' 95° 3

4 62°44' -09' 81° 62°52' -07' 83° 62°58' -05' 85° 63°02' -02' 87° 63°04' 00' 89° 63°04' +02' 91° 63°02' +05' 93° 4

5 62°35' -11' 79° 62°45' -09' 81° 62°53' -07' 83° 63°00' -04' 85° 63°04' -02' 87° 63°06' +00' 89° 63°07' +03' 91° 5

6 62°23' -13' 77° 62°36' -11' 79° 62°47' -09' 81° 62°55' -06' 83° 63°02' -04' 85° 63°07' -02' 87° 63°09' +00' 89° 6

7 62°10' -15' 75° 62°25' -13' 77° 62°38' -11' 79° 62°49' -08' 80° 62°58' -06' 82° 63°05' -04' 84° 63°10' -02' 86° 7

8 61°56' -17' 73° 62°12' -15' 75° 62°27' -13' 76° 62°40' -10' 78° 62°52' -08' 80° 63°01' -06' 82° 63°08' -04' 84° 8

9 61°39' -18' 71° 61°58' -16' 73° 62°15' -14' 74° 62°30' -12' 76° 62°43' -10' 78° 62°55' -08' 80° 63°04' -06' 82° 9

10 61°20' -20' 69° 61°41' -18' 71° 62°00' -16' 72° 62°18' -14' 74° 62°33' -12' 76° 62°47' -10' 78° 62°59' -08' 80° 10

11 61°00' -22' 67° 61°23' -20' 69° 61°44' -18' 70° 62°03' -16' 72° 62°21' -14' 74° 62°37' -12' 76° 62°51' -10' 78° 11

12 60°38' -23' 65° 61°03' -22' 67° 61°26' -20' 68° 61°47' -18' 70° 62°07' -16' 72° 62°25' -14' 74° 62°41' -12' 75° 12

13 60°15' -25' 63° 60°41' -23' 65° 61°06' -21' 66° 61°30' -20' 68° 61°51' -18' 70° 62°11' -16' 71° 62°29' -14' 73° 13

14 59°50' -26' 61° 60°18' -25' 63° 60°45' -23' 64° 61°10' -21' 66° 61°34' -19' 68° 61°56' -17' 69° 62°16' -15' 71° 14

15 59°23' -28' 59° 59°53' -26' 61° 60°22' -25' 62° 60°49' -23' 64° 61°14' -21' 66° 61°38' -19' 67° 62°00' -17' 69° 15

16 58°55' -29' 58° 59°27' -28' 59° 59°57' -26' 61° 60°26' -24' 62° 60°53' -23' 64° 61°19' -21' 65° 61°43' -19' 67° 16

17 58°26' -30' 56° 58°59' -29' 57° 59°31' -28' 59° 60°01' -26' 60° 60°30' -24' 62° 60°58' -23' 63° 61°24' -21' 65° 17

18 57°56' -32' 54° 58°30' -30' 56° 59°03' -29' 57° 59°35' -27' 59° 60°06' -26' 60° 60°35' -24' 62° 61°03' -22' 63° 18

19 57°24' -33' 53° 58°00' -32' 54° 58°34' -30' 55° 59°08' -29' 57° 59°40' -27' 58° 60°11' -26' 60° 60°41' -24' 61° 19

20 56°51' -34' 51° 57°28' -33' 52° 58°04' -31' 54° 58°39' -30' 55° 59°13' -29' 56° 59°45' -27' 58° 60°17' -26' 59° 20

21 56°17' -35' 50° 56°55' -34' 51° 57°33' -33' 52° 58°09' -31' 53° 58°44' -30' 55° 59°18' -29' 56° 59°51' -27' 58° 21

22 55°42' -36' 48° 56°22' -35' 49° 57°00' -34' 51° 57°38' -32' 52° 58°14' -31' 53° 58°50' -30' 54° 59°24' -28' 56° 22

23 55°06' -37' 47° 55°47' -36' 48° 56°26' -35' 49° 57°05' -34' 50° 57°43' -32' 51° 58°20' -31' 53° 58°56' -30' 54° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

26° 334° LHA Latitude SAME as Declination 26° 334° LHA

27° 333° LHA Latitude SAME as Declination 27° 333° LHA

27° 333° LHA Latitude SAME as Declination 27° 333° LHA

26° 334° LHA Latitude SAME as Declination 26° 334° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 17: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 62°00' -01' 90° 61°59' +01' 92° 61°56' +03' 94° 61°51' +06' 96° 61°44' +08' 97° 61°36' +10' 99° 61°25' +12' 101° 0

1 61°59' -03' 88° 62°00' -01' 90° 62°00' +02' 92° 61°57' +04' 94° 61°52' +06' 95° 61°46' +08' 97° 61°37' +10' 99° 1

2 61°56' -05' 86° 62°00' -03' 88° 62°01' 00' 90° 62°01' +02' 91° 61°58' +04' 93° 61°54' +06' 95° 61°47' +08' 97° 2

3 61°51' -07' 84° 61°57' -05' 85° 62°01' -02' 87° 62°02' 00' 89° 62°02' +02' 91° 62°00' +04' 93° 61°56' +06' 95° 3

4 61°44' -09' 82° 61°52' -07' 83° 61°58' -04' 85° 62°02' -02' 87° 62°04' +00' 89° 62°04' +02' 91° 62°02' +05' 93° 4

5 61°36' -11' 79° 61°46' -09' 81° 61°54' -06' 83° 62°00' -04' 85° 62°04' -02' 87° 62°07' +00' 89° 62°07' +03' 91° 5

6 61°25' -12' 77° 61°37' -10' 79° 61°47' -08' 81° 61°56' -06' 83° 62°02' -04' 85° 62°07' -02' 87° 62°09' +01' 89° 6

7 61°12' -14' 75° 61°27' -12' 77° 61°39' -10' 79° 61°50' -08' 81° 61°58' -06' 83° 62°05' -04' 84° 62°10' -01' 86° 7

8 60°58' -16' 73° 61°14' -14' 75° 61°29' -12' 77° 61°42' -10' 79° 61°53' -08' 80° 62°02' -06' 82° 62°09' -03' 84° 8

9 60°42' -18' 71° 61°00' -16' 73° 61°17' -14' 75° 61°32' -12' 77° 61°45' -10' 78° 61°56' -08' 80° 62°05' -05' 82° 9

10 60°24' -19' 69° 60°45' -18' 71° 61°03' -16' 73° 61°20' -14' 75° 61°35' -12' 76° 61°48' -09' 78° 62°00' -07' 80° 10

11 60°05' -21' 68° 60°27' -19' 69° 60°48' -17' 71° 61°06' -15' 73° 61°24' -13' 74° 61°39' -11' 76° 61°53' -09' 78° 11

12 59°44' -23' 66° 60°08' -21' 67° 60°30' -19' 69° 60°51' -17' 71° 61°10' -15' 72° 61°28' -13' 74° 61°43' -11' 76° 12

13 59°21' -24' 64° 59°47' -22' 65° 60°11' -21' 67° 60°34' -19' 69° 60°55' -17' 70° 61°14' -15' 72° 61°32' -13' 74° 13

14 58°57' -26' 62° 59°24' -24' 64° 59°51' -22' 65° 60°15' -20' 67° 60°38' -19' 68° 60°59' -17' 70° 61°19' -15' 72° 14

15 58°31' -27' 60° 59°01' -25' 62° 59°28' -24' 63° 59°55' -22' 65° 60°19' -20' 66° 60°43' -18' 68° 61°04' -17' 70° 15

16 58°05' -28' 59° 58°35' -27' 60° 59°05' -25' 61° 59°33' -24' 63° 59°59' -22' 64° 60°24' -20' 66° 60°48' -18' 68° 16

17 57°36' -30' 57° 58°08' -28' 58° 58°39' -27' 60° 59°09' -25' 61° 59°37' -23' 63° 60°04' -22' 64° 60°30' -20' 66° 17

18 57°07' -31' 55° 57°40' -29' 57° 58°13' -28' 58° 58°44' -26' 59° 59°14' -25' 61° 59°43' -23' 62° 60°10' -22' 64° 18

19 56°36' -32' 54° 57°11' -31' 55° 57°45' -29' 56° 58°18' -28' 58° 58°49' -26' 59° 59°19' -25' 60° 59°48' -23' 62° 19

20 56°04' -33' 52° 56°40' -32' 53° 57°16' -30' 55° 57°50' -29' 56° 58°23' -28' 57° 58°55' -26' 59° 59°25' -25' 60° 20

21 55°31' -34' 51° 56°09' -33' 52° 56°45' -32' 53° 57°21' -30' 54° 57°55' -29' 56° 58°28' -28' 57° 59°01' -26' 58° 21

22 54°57' -35' 49° 55°36' -34' 50° 56°14' -33' 52° 56°50' -31' 53° 57°26' -30' 54° 58°01' -29' 55° 58°35' -27' 57° 22

23 54°22' -36' 48° 55°02' -35' 49° 55°41' -34' 50° 56°19' -33' 51° 56°56' -31' 52° 57°32' -30' 54° 58°07' -29' 55° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 61°00' -01' 90° 60°59' +01' 92° 60°56' +03' 94° 60°52' +06' 95° 60°45' +08' 97° 60°37' +10' 99° 60°26' +12' 101° 0

1 60°59' -03' 88° 61°00' -01' 90° 61°00' +01' 92° 60°57' +04' 93° 60°53' +06' 95° 60°46' +08' 97° 60°38' +10' 99° 1

2 60°56' -05' 86° 61°00' -03' 88° 61°01' 00' 89° 61°01' +02' 91° 60°58' +04' 93° 60°54' +06' 95° 60°48' +08' 97° 2

3 60°52' -07' 84° 60°57' -04' 86° 61°01' -02' 87° 61°02' 00' 89° 61°02' +02' 91° 61°00' +04' 93° 60°56' +06' 95° 3

4 60°45' -08' 82° 60°53' -06' 84° 60°58' -04' 85° 61°02' -02' 87° 61°04' +00' 89° 61°04' +02' 91° 61°03' +04' 93° 4

5 60°37' -10' 80° 60°46' -08' 82° 60°54' -06' 83° 61°00' -04' 85° 61°04' -02' 87° 61°07' +00' 89° 61°07' +03' 91° 5

6 60°26' -12' 78° 60°38' -10' 80° 60°48' -08' 81° 60°56' -06' 83° 61°03' -04' 85° 61°07' -01' 87° 61°10' +01' 88° 6

7 60°14' -14' 76° 60°28' -12' 77° 60°40' -10' 79° 60°51' -08' 81° 60°59' -06' 83° 61°06' -03' 85° 61°10' -01' 86° 7

8 60°01' -15' 74° 60°16' -14' 76° 60°31' -12' 77° 60°43' -09' 79° 60°54' -07' 81° 61°02' -05' 83° 61°09' -03' 84° 8

9 59°45' -17' 72° 60°03' -15' 74° 60°19' -13' 75° 60°33' -11' 77° 60°46' -09' 79° 60°57' -07' 80° 61°06' -05' 82° 9

10 59°28' -19' 70° 59°48' -17' 72° 60°06' -15' 73° 60°22' -13' 75° 60°37' -11' 77° 60°50' -09' 78° 61°01' -07' 80° 10

11 59°09' -20' 68° 59°31' -19' 70° 59°51' -17' 71° 60°09' -15' 73° 60°26' -13' 75° 60°41' -11' 76° 60°54' -09' 78° 11

12 58°49' -22' 66° 59°12' -20' 68° 59°34' -18' 69° 59°54' -16' 71° 60°13' -15' 73° 60°30' -13' 74° 60°45' -11' 76° 12

13 58°27' -23' 65° 58°52' -22' 66° 59°16' -20' 68° 59°38' -18' 69° 59°59' -16' 71° 60°18' -14' 72° 60°35' -12' 74° 13

14 58°04' -25' 63° 58°31' -23' 64° 58°56' -21' 66° 59°20' -20' 67° 59°42' -18' 69° 60°03' -16' 70° 60°22' -14' 72° 14

15 57°39' -26' 61° 58°08' -25' 62° 58°35' -23' 64° 59°00' -21' 65° 59°24' -19' 67° 59°47' -18' 69° 60°08' -16' 70° 15

16 57°13' -27' 59° 57°43' -26' 61° 58°12' -24' 62° 58°39' -23' 64° 59°05' -21' 65° 59°30' -19' 67° 59°53' -17' 68° 16

17 56°46' -29' 58° 57°17' -27' 59° 57°47' -26' 60° 58°16' -24' 62° 58°44' -23' 63° 59°10' -21' 65° 59°35' -19' 66° 17

18 56°17' -30' 56° 56°50' -28' 57° 57°22' -27' 59° 57°52' -26' 60° 58°21' -24' 62° 58°49' -22' 63° 59°16' -21' 64° 18

19 55°47' -31' 55° 56°22' -30' 56° 56°55' -28' 57° 57°27' -27' 58° 57°58' -25' 60° 58°27' -24' 61° 58°55' -22' 63° 19

20 55°16' -32' 53° 55°52' -31' 54° 56°26' -29' 55° 57°00' -28' 57° 57°32' -27' 58° 58°03' -25' 59° 58°33' -24' 61° 20

21 54°44' -33' 52° 55°21' -32' 53° 55°57' -31' 54° 56°32' -29' 55° 57°05' -28' 56° 57°38' -27' 58° 58°10' -25' 59° 21

22 54°11' -34' 50° 54°49' -33' 51° 55°26' -32' 52° 56°02' -31' 54° 56°38' -29' 55° 57°12' -28' 56° 57°44' -26' 57° 22

23 53°37' -35' 49° 54°16' -34' 50° 54°55' -33' 51° 55°32' -32' 52° 56°08' -30' 53° 56°44' -29' 54° 57°18' -28' 56° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

29° 331° LHA Latitude SAME as Declination 29° 331° LHA

28° 332° LHA Latitude SAME as Declination 28° 332° LHA

28° 332° LHA Latitude SAME as Declination 28° 332° LHA

29° 331° LHA Latitude SAME as Declination 29° 331° LHA

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Page 18: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 60°00' -01' 90° 59°59' +01' 92° 59°56' +03' 93° 59°52' +05' 95° 59°46' +07' 97° 59°37' +09' 99° 59°28' +11' 100° 0

1 59°59' -03' 88° 60°00' -01' 90° 60°00' +01' 91° 59°57' +04' 93° 59°53' +06' 95° 59°47' +08' 97° 59°39' +10' 98° 1

2 59°56' -05' 86° 60°00' -02' 88° 60°01' 00' 89° 60°01' +02' 91° 59°59' +04' 93° 59°55' +06' 95° 59°49' +08' 96° 2

3 59°52' -06' 84° 59°57' -04' 86° 60°01' -02' 87° 60°03' 00' 89° 60°02' +02' 91° 60°01' +04' 93° 59°57' +06' 94° 3

4 59°46' -08' 82° 59°53' -06' 84° 59°59' -04' 85° 60°02' -02' 87° 60°04' +00' 89° 60°05' +02' 91° 60°03' +04' 92° 4

5 59°37' -10' 80° 59°47' -08' 82° 59°55' -06' 83° 60°01' -04' 85° 60°05' -02' 87° 60°07' +00' 89° 60°07' +03' 90° 5

6 59°28' -12' 78° 59°39' -10' 80° 59°49' -08' 81° 59°57' -05' 83° 60°03' -03' 85° 60°07' -01' 87° 60°10' +01' 88° 6

7 59°16' -13' 76° 59°30' -11' 78° 59°41' -09' 80° 59°51' -07' 81° 60°00' -05' 83° 60°06' -03' 85° 60°11' -01' 86° 7

8 59°03' -15' 74° 59°18' -13' 76° 59°32' -11' 78° 59°44' -09' 79° 59°54' -07' 81° 60°03' -05' 83° 60°10' -03' 84° 8

9 58°48' -16' 72° 59°05' -15' 74° 59°21' -13' 76° 59°35' -11' 77° 59°47' -09' 79° 59°58' -07' 81° 60°07' -05' 82° 9

10 58°32' -18' 71° 58°51' -16' 72° 59°08' -14' 74° 59°24' -12' 75° 59°39' -11' 77° 59°51' -09' 79° 60°02' -06' 80° 10

11 58°13' -20' 69° 58°34' -18' 70° 58°54' -16' 72° 59°12' -14' 73° 59°28' -12' 75° 59°43' -10' 77° 59°56' -08' 78° 11

12 57°54' -21' 67° 58°17' -19' 68° 58°38' -18' 70° 58°58' -16' 72° 59°16' -14' 73° 59°32' -12' 75° 59°47' -10' 76° 12

13 57°33' -22' 65° 57°57' -21' 67° 58°20' -19' 68° 58°42' -17' 70° 59°02' -16' 71° 59°21' -14' 73° 59°37' -12' 74° 13

14 57°10' -24' 63° 57°36' -22' 65° 58°01' -21' 66° 58°25' -19' 68° 58°46' -17' 69° 59°07' -15' 71° 59°26' -13' 73° 14

15 56°46' -25' 62° 57°14' -24' 63° 57°41' -22' 65° 58°06' -20' 66° 58°29' -19' 68° 58°51' -17' 69° 59°12' -15' 71° 15

16 56°21' -26' 60° 56°50' -25' 61° 57°19' -23' 63° 57°45' -22' 64° 58°11' -20' 66° 58°35' -18' 67° 58°57' -17' 69° 16

17 55°55' -28' 59° 56°25' -26' 60° 56°55' -25' 61° 57°23' -23' 63° 57°50' -22' 64° 58°16' -20' 65° 58°40' -18' 67° 17

18 55°27' -29' 57° 55°59' -28' 58° 56°30' -26' 60° 57°00' -25' 61° 57°29' -23' 62° 57°56' -21' 64° 58°22' -20' 65° 18

19 54°58' -30' 55° 55°32' -29' 57° 56°04' -27' 58° 56°35' -26' 59° 57°06' -24' 60° 57°35' -23' 62° 58°02' -21' 63° 19

20 54°28' -31' 54° 55°03' -30' 55° 55°37' -29' 56° 56°10' -27' 58° 56°41' -26' 59° 57°12' -24' 60° 57°41' -23' 62° 20

21 53°57' -32' 52° 54°33' -31' 54° 55°08' -30' 55° 55°42' -28' 56° 56°15' -27' 57° 56°47' -26' 58° 57°18' -24' 60° 21

22 53°25' -33' 51° 54°02' -32' 52° 54°39' -31' 53° 55°14' -30' 54° 55°48' -28' 56° 56°22' -27' 57° 56°54' -25' 58° 22

23 52°52' -34' 50° 53°30' -33' 51° 54°08' -32' 52° 54°44' -31' 53° 55°20' -29' 54° 55°55' -28' 55° 56°29' -27' 56° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 59°00' -01' 90° 58°59' +01' 92° 58°57' +03' 93° 58°52' +05' 95° 58°46' +07' 97° 58°38' +09' 98° 58°29' +11' 100° 0

1 58°59' -03' 88° 59°00' -01' 90° 59°00' +01' 91° 58°57' +03' 93° 58°53' +06' 95° 58°48' +08' 96° 58°40' +10' 98° 1

2 58°57' -04' 86° 59°00' -02' 88° 59°01' 00' 89° 59°01' +02' 91° 58°59' +04' 93° 58°55' +06' 94° 58°50' +08' 96° 2

3 58°52' -06' 84° 58°57' -04' 86° 59°01' -02' 88° 59°03' 00' 89° 59°03' +02' 91° 59°01' +04' 93° 58°57' +06' 94° 3

4 58°46' -08' 82° 58°53' -06' 84° 58°59' -04' 86° 59°03' -02' 87° 59°05' +00' 89° 59°05' +02' 91° 59°03' +04' 92° 4

5 58°38' -09' 80° 58°48' -07' 82° 58°55' -05' 84° 59°01' -03' 85° 59°05' -01' 87° 59°07' +01' 89° 59°08' +03' 90° 5

6 58°29' -11' 78° 58°40' -09' 80° 58°50' -07' 82° 58°57' -05' 83° 59°03' -03' 85° 59°08' -01' 87° 59°10' +01' 88° 6

7 58°18' -13' 77° 58°31' -11' 78° 58°42' -09' 80° 58°52' -07' 81° 59°00' -05' 83° 59°07' -03' 85° 59°11' -01' 86° 7

8 58°05' -14' 75° 58°20' -12' 76° 58°33' -11' 78° 58°45' -09' 79° 58°55' -07' 81° 59°04' -05' 83° 59°10' -03' 84° 8

9 57°51' -16' 73° 58°08' -14' 74° 58°23' -12' 76° 58°37' -10' 78° 58°49' -08' 79° 58°59' -06' 81° 59°08' -04' 82° 9

10 57°35' -17' 71° 57°54' -16' 73° 58°11' -14' 74° 58°26' -12' 76° 58°40' -10' 77° 58°53' -08' 79° 59°03' -06' 81° 10

11 57°17' -19' 69° 57°38' -17' 71° 57°57' -15' 72° 58°14' -14' 74° 58°30' -12' 75° 58°45' -10' 77° 58°57' -08' 79° 11

12 56°59' -20' 68° 57°21' -19' 69° 57°41' -17' 70° 58°01' -15' 72° 58°19' -13' 74° 58°35' -11' 75° 58°49' -10' 77° 12

13 56°38' -22' 66° 57°02' -20' 67° 57°25' -18' 69° 57°46' -17' 70° 58°05' -15' 72° 58°23' -13' 73° 58°40' -11' 75° 13

14 56°16' -23' 64° 56°42' -22' 66° 57°06' -20' 67° 57°29' -18' 68° 57°50' -16' 70° 58°10' -15' 71° 58°29' -13' 73° 14

15 55°53' -24' 63° 56°20' -23' 64° 56°46' -21' 65° 57°11' -20' 67° 57°34' -18' 68° 57°56' -16' 70° 58°16' -14' 71° 15

16 55°29' -26' 61° 55°58' -24' 62° 56°25' -23' 64° 56°51' -21' 65° 57°16' -19' 66° 57°39' -18' 68° 58°01' -16' 69° 16

17 55°03' -27' 59° 55°33' -25' 61° 56°02' -24' 62° 56°30' -22' 63° 56°56' -21' 65° 57°22' -19' 66° 57°45' -18' 67° 17

18 54°37' -28' 58° 55°08' -27' 59° 55°38' -25' 60° 56°08' -24' 62° 56°36' -22' 63° 57°02' -21' 64° 57°28' -19' 66° 18

19 54°08' -29' 56° 54°41' -28' 57° 55°13' -26' 59° 55°44' -25' 60° 56°13' -24' 61° 56°42' -22' 62° 57°09' -20' 64° 19

20 53°39' -30' 55° 54°14' -29' 56° 54°47' -28' 57° 55°19' -26' 58° 55°50' -25' 60° 56°20' -23' 61° 56°48' -22' 62° 20

21 53°09' -31' 53° 53°45' -30' 54° 54°19' -29' 56° 54°52' -27' 57° 55°25' -26' 58° 55°56' -25' 59° 56°26' -23' 60° 21

22 52°38' -32' 52° 53°15' -31' 53° 53°50' -30' 54° 54°25' -29' 55° 54°59' -27' 56° 55°32' -26' 58° 56°03' -25' 59° 22

23 52°06' -33' 51° 52°43' -32' 52° 53°20' -31' 53° 53°56' -30' 54° 54°31' -28' 55° 55°06' -27' 56° 55°39' -26' 57° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

30° 330° LHA Latitude SAME as Declination 30° 330° LHA

30° 330° LHA Latitude SAME as Declination 30° 330° LHA

31° 329° LHA Latitude SAME as Declination 31° 329° LHA

31° 329° LHA Latitude SAME as Declination 31° 329° LHA

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Page 19: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 58°00' -01' 90° 57°59' +01' 92° 57°57' +03' 93° 57°52' +05' 95° 57°47' +07' 96° 57°39' +09' 98° 57°30' +11' 99° 0

1 57°59' -03' 88° 58°00' -01' 90° 58°00' +01' 91° 57°58' +03' 93° 57°54' +05' 95° 57°48' +07' 96° 57°41' +09' 98° 1

2 57°57' -04' 86° 58°00' -02' 88° 58°01' 00' 89° 58°01' +02' 91° 57°59' +04' 93° 57°55' +06' 94° 57°50' +08' 96° 2

3 57°52' -06' 84° 57°58' -04' 86° 58°01' -02' 88° 58°03' +00' 89° 58°03' +02' 91° 58°01' +04' 92° 57°58' +06' 94° 3

4 57°47' -07' 82° 57°54' -06' 84° 57°59' -04' 86° 58°03' -02' 87° 58°05' +00' 89° 58°05' +02' 90° 58°04' +04' 92° 4

5 57°39' -09' 81° 57°48' -07' 82° 57°55' -05' 84° 58°01' -03' 85° 58°05' -01' 87° 58°08' +01' 89° 58°08' +03' 90° 5

6 57°30' -11' 79° 57°41' -09' 80° 57°50' -07' 82° 57°58' -05' 83° 58°04' -03' 85° 58°08' -01' 87° 58°11' +01' 88° 6

7 57°19' -12' 77° 57°32' -10' 78° 57°43' -09' 80° 57°53' -07' 82° 58°01' -05' 83° 58°07' -03' 85° 58°12' -01' 86° 7

8 57°07' -14' 75° 57°22' -12' 77° 57°35' -10' 78° 57°46' -08' 80° 57°56' -06' 81° 58°04' -04' 83° 58°11' -02' 84° 8

9 56°53' -15' 73° 57°10' -14' 75° 57°25' -12' 76° 57°38' -10' 78° 57°50' -08' 79° 58°00' -06' 81° 58°09' -04' 83° 9

10 56°38' -17' 72° 56°56' -15' 73° 57°13' -13' 75° 57°28' -11' 76° 57°42' -10' 78° 57°54' -08' 79° 58°04' -06' 81° 10

11 56°21' -18' 70° 56°41' -17' 71° 57°00' -15' 73° 57°17' -13' 74° 57°32' -11' 76° 57°46' -09' 77° 57°59' -07' 79° 11

12 56°03' -20' 68° 56°25' -18' 70° 56°45' -16' 71° 57°04' -15' 72° 57°21' -13' 74° 57°37' -11' 75° 57°51' -09' 77° 12

13 55°43' -21' 66° 56°07' -19' 68° 56°29' -18' 69° 56°49' -16' 71° 57°08' -14' 72° 57°26' -13' 74° 57°42' -11' 75° 13

14 55°22' -22' 65° 55°47' -21' 66° 56°11' -19' 67° 56°33' -17' 69° 56°54' -16' 70° 57°14' -14' 72° 57°32' -12' 73° 14

15 55°00' -24' 63° 55°26' -22' 64° 55°52' -21' 66° 56°16' -19' 67° 56°38' -17' 69° 57°00' -16' 70° 57°19' -14' 71° 15

16 54°36' -25' 62° 55°04' -23' 63° 55°31' -22' 64° 55°57' -20' 65° 56°21' -19' 67° 56°44' -17' 68° 57°06' -15' 70° 16

17 54°12' -26' 60° 54°41' -25' 61° 55°09' -23' 62° 55°36' -22' 64° 56°02' -20' 65° 56°27' -18' 66° 56°50' -17' 68° 17

18 53°46' -27' 58° 54°16' -26' 60° 54°46' -24' 61° 55°15' -23' 62° 55°42' -21' 63° 56°08' -20' 65° 56°33' -18' 66° 18

19 53°18' -28' 57° 53°51' -27' 58° 54°22' -26' 59° 54°52' -24' 61° 55°21' -23' 62° 55°49' -21' 63° 56°15' -20' 64° 19

20 52°50' -29' 56° 53°24' -28' 57° 53°56' -27' 58° 54°28' -25' 59° 54°58' -24' 60° 55°27' -23' 61° 55°55' -21' 63° 20

21 52°21' -30' 54° 52°56' -29' 55° 53°29' -28' 56° 54°02' -27' 57° 54°34' -25' 59° 55°05' -24' 60° 55°34' -22' 61° 21

22 51°50' -31' 53° 52°26' -30' 54° 53°01' -29' 55° 53°36' -28' 56° 54°09' -26' 57° 54°41' -25' 58° 55°12' -24' 59° 22

23 51°19' -32' 51° 51°56' -31' 52° 52°32' -30' 53° 53°08' -29' 54° 53°42' -28' 55° 54°16' -26' 57° 54°48' -25' 58° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 57°00' -01' 90° 56°59' +01' 92° 56°57' +03' 93° 56°53' +05' 95° 56°47' +07' 96° 56°40' +09' 98° 56°31' +11' 99° 0

1 56°59' -02' 88° 57°00' 00' 90° 57°00' +01' 91° 56°58' +03' 93° 56°54' +05' 94° 56°49' +07' 96° 56°42' +09' 97° 1

2 56°57' -04' 86° 57°00' -02' 88° 57°01' 00' 89° 57°01' +02' 91° 56°59' +04' 92° 56°56' +06' 94° 56°51' +07' 96° 2

3 56°53' -06' 85° 56°58' -04' 86° 57°01' -02' 88° 57°03' +00' 89° 57°03' +02' 91° 57°01' +04' 92° 56°58' +06' 94° 3

4 56°47' -07' 83° 56°54' -05' 84° 56°59' -03' 86° 57°03' -01' 87° 57°05' +00' 89° 57°05' +02' 90° 57°04' +04' 92° 4

5 56°40' -09' 81° 56°49' -07' 82° 56°56' -05' 84° 57°01' -03' 85° 57°05' -01' 87° 57°08' +01' 89° 57°08' +03' 90° 5

6 56°31' -10' 79° 56°42' -08' 81° 56°51' -07' 82° 56°58' -05' 84° 57°04' -03' 85° 57°08' -01' 87° 57°11' +01' 88° 6

7 56°21' -12' 77° 56°33' -10' 79° 56°44' -08' 80° 56°54' -06' 82° 57°01' -04' 83° 57°08' -03' 85° 57°12' -01' 86° 7

8 56°09' -13' 76° 56°23' -12' 77° 56°36' -10' 78° 56°47' -08' 80° 56°57' -06' 81° 57°05' -04' 83° 57°12' -02' 85° 8

9 55°56' -15' 74° 56°12' -13' 75° 56°26' -11' 77° 56°39' -09' 78° 56°51' -08' 80° 57°01' -06' 81° 57°09' -04' 83° 9

10 55°41' -16' 72° 55°59' -15' 73° 56°15' -13' 75° 56°30' -11' 76° 56°43' -09' 78° 56°55' -07' 79° 57°06' -05' 81° 10

11 55°25' -18' 70° 55°44' -16' 72° 56°02' -14' 73° 56°19' -12' 75° 56°34' -11' 76° 56°48' -09' 78° 57°00' -07' 79° 11

12 55°07' -19' 69° 55°28' -17' 70° 55°48' -16' 71° 56°07' -14' 73° 56°24' -12' 74° 56°39' -10' 76° 56°53' -09' 77° 12

13 54°48' -20' 67° 55°11' -19' 68° 55°32' -17' 70° 55°53' -15' 71° 56°11' -14' 72° 56°29' -12' 74° 56°45' -10' 75° 13

14 54°28' -22' 65° 54°52' -20' 67° 55°15' -18' 68° 55°37' -17' 69° 55°58' -15' 71° 56°17' -13' 72° 56°34' -12' 74° 14

15 54°06' -23' 64° 54°32' -21' 65° 54°57' -20' 66° 55°20' -18' 68° 55°42' -17' 69° 56°03' -15' 70° 56°23' -13' 72° 15

16 53°43' -24' 62° 54°11' -23' 63° 54°37' -21' 65° 55°02' -20' 66° 55°26' -18' 67° 55°48' -16' 69° 56°09' -15' 70° 16

17 53°19' -25' 61° 53°48' -24' 62° 54°16' -22' 63° 54°43' -21' 64° 55°08' -19' 66° 55°32' -18' 67° 55°55' -16' 68° 17

18 52°54' -26' 59° 53°24' -25' 60° 53°54' -24' 62° 54°22' -22' 63° 54°49' -21' 64° 55°14' -19' 65° 55°39' -18' 67° 18

19 52°28' -27' 58° 52°59' -26' 59° 53°30' -25' 60° 53°59' -23' 61° 54°28' -22' 62° 54°55' -20' 64° 55°21' -19' 65° 19

20 52°00' -28' 56° 52°33' -27' 57° 53°05' -26' 58° 53°36' -25' 60° 54°06' -23' 61° 54°35' -22' 62° 55°02' -20' 63° 20

21 51°32' -29' 55° 52°06' -28' 56° 52°39' -27' 57° 53°12' -26' 58° 53°43' -24' 59° 54°13' -23' 60° 54°42' -22' 62° 21

22 51°02' -30' 53° 51°38' -29' 54° 52°12' -28' 55° 52°46' -27' 57° 53°18' -26' 58° 53°50' -24' 59° 54°20' -23' 60° 22

23 50°32' -31' 52° 51°09' -30' 53° 51°44' -29' 54° 52°19' -28' 55° 52°53' -27' 56° 53°26' -25' 57° 53°58' -24' 58° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

32° 328° LHA Latitude SAME as Declination 32° 328° LHA

33° 327° LHA Latitude SAME as Declination 33° 327° LHA

33° 327° LHA Latitude SAME as Declination 33° 327° LHA

32° 328° LHA Latitude SAME as Declination 32° 328° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

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Page 20: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 56°00' -01' 90° 55°59' +01' 91° 55°57' +03' 93° 55°53' +05' 94° 55°48' +07' 96° 55°41' +09' 97° 55°32' +10' 99° 0

1 55°59' -02' 88° 56°00' 00' 90° 56°00' +01' 91° 55°58' +03' 93° 55°54' +05' 94° 55°49' +07' 96° 55°43' +09' 97° 1

2 55°57' -04' 86° 56°00' -02' 88° 56°01' 00' 89° 56°01' +02' 91° 55°59' +04' 92° 55°56' +05' 94° 55°51' +07' 95° 2

3 55°53' -05' 85° 55°58' -04' 86° 56°01' -02' 88° 56°03' +00' 89° 56°03' +02' 91° 56°02' +04' 92° 55°59' +06' 94° 3

4 55°48' -07' 83° 55°54' -05' 84° 55°59' -03' 86° 56°03' -01' 87° 56°05' +01' 89° 56°06' +02' 90° 56°05' +04' 92° 4

5 55°41' -08' 81° 55°49' -07' 83° 55°56' -05' 84° 56°02' -03' 86° 56°06' -01' 87° 56°08' +01' 88° 56°09' +03' 90° 5

6 55°32' -10' 79° 55°43' -08' 81° 55°51' -06' 82° 55°59' -04' 84° 56°05' -03' 85° 56°09' -01' 87° 56°12' +01' 88° 6

7 55°22' -11' 78° 55°34' -10' 79° 55°45' -08' 80° 55°54' -06' 82° 56°02' -04' 83° 56°08' -02' 85° 56°13' 00' 86° 7

8 55°11' -13' 76° 55°25' -11' 77° 55°37' -09' 79° 55°48' -08' 80° 55°58' -06' 82° 56°06' -04' 83° 56°12' -02' 85° 8

9 54°58' -14' 74° 55°14' -13' 76° 55°28' -11' 77° 55°41' -09' 78° 55°52' -07' 80° 56°02' -05' 81° 56°10' -04' 83° 9

10 54°44' -16' 72° 55°01' -14' 74° 55°17' -12' 75° 55°32' -11' 77° 55°45' -09' 78° 55°57' -07' 80° 56°07' -05' 81° 10

11 54°28' -17' 71° 54°47' -15' 72° 55°05' -14' 74° 55°21' -12' 75° 55°36' -10' 76° 55°50' -08' 78° 56°02' -07' 79° 11

12 54°11' -18' 69° 54°32' -17' 70° 54°51' -15' 72° 55°09' -13' 73° 55°26' -12' 75° 55°41' -10' 76° 55°55' -08' 77° 12

13 53°53' -20' 68° 54°15' -18' 69° 54°36' -16' 70° 54°56' -15' 71° 55°14' -13' 73° 55°31' -11' 74° 55°47' -10' 76° 13

14 53°33' -21' 66° 53°57' -19' 67° 54°20' -18' 69° 54°41' -16' 70° 55°01' -15' 71° 55°20' -13' 73° 55°37' -11' 74° 14

15 53°12' -22' 64° 53°38' -21' 66° 54°02' -19' 67° 54°25' -18' 68° 54°46' -16' 69° 55°07' -14' 71° 55°26' -13' 72° 15

16 52°50' -23' 63° 53°17' -22' 64° 53°43' -20' 65° 54°07' -19' 67° 54°31' -17' 68° 54°53' -16' 69° 55°13' -14' 70° 16

17 52°27' -24' 61° 52°55' -23' 62° 53°22' -22' 64° 53°48' -20' 65° 54°13' -19' 66° 54°37' -17' 67° 54°59' -15' 69° 17

18 52°03' -26' 60° 52°32' -24' 61° 53°01' -23' 62° 53°28' -21' 63° 53°55' -20' 65° 54°20' -18' 66° 54°44' -17' 67° 18

19 51°37' -27' 58° 52°08' -25' 59° 52°38' -24' 61° 53°07' -23' 62° 53°35' -21' 63° 54°01' -20' 64° 54°27' -18' 65° 19

20 51°10' -28' 57° 51°43' -26' 58° 52°14' -25' 59° 52°44' -24' 60° 53°14' -22' 61° 53°42' -21' 63° 54°09' -19' 64° 20

21 50°43' -29' 56° 51°16' -27' 57° 51°49' -26' 58° 52°21' -25' 59° 52°51' -24' 60° 53°21' -22' 61° 53°49' -21' 62° 21

22 50°14' -30' 54° 50°49' -28' 55° 51°23' -27' 56° 51°56' -26' 57° 52°28' -25' 58° 52°59' -23' 59° 53°29' -22' 61° 22

23 49°44' -31' 53° 50°20' -29' 54° 50°55' -28' 55° 51°30' -27' 56° 52°03' -26' 57° 52°35' -25' 58° 53°07' -23' 59° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 55°00' -01' 90° 54°59' +01' 91° 54°57' +03' 93° 54°53' +05' 94° 54°48' +07' 96° 54°41' +08' 97° 54°33' +10' 98° 0

1 54°59' -02' 88° 55°00' 00' 90° 55°00' +01' 91° 54°58' +03' 93° 54°55' +05' 94° 54°50' +07' 95° 54°43' +09' 97° 1

2 54°57' -04' 87° 55°00' -02' 88° 55°01' 00' 89° 55°01' +02' 91° 55°00' +04' 92° 54°57' +05' 94° 54°52' +07' 95° 2

3 54°53' -05' 85° 54°58' -03' 86° 55°01' -02' 88° 55°03' +00' 89° 55°03' +02' 90° 55°02' +04' 92° 54°59' +06' 93° 3

4 54°48' -07' 83° 54°55' -05' 84° 55°00' -03' 86° 55°03' -01' 87° 55°05' +01' 89° 55°06' +02' 90° 55°05' +04' 92° 4

5 54°41' -08' 81° 54°50' -06' 83° 54°57' -05' 84° 55°02' -03' 86° 55°06' -01' 87° 55°08' +01' 88° 55°09' +03' 90° 5

6 54°33' -10' 80° 54°43' -08' 81° 54°52' -06' 82° 54°59' -04' 84° 55°05' -02' 85° 55°09' -01' 87° 55°12' +01' 88° 6

7 54°24' -11' 78° 54°36' -09' 79° 54°46' -08' 81° 54°55' -06' 82° 55°02' -04' 84° 55°09' -02' 85° 55°13' 00' 86° 7

8 54°13' -12' 76° 54°26' -11' 78° 54°38' -09' 79° 54°49' -07' 80° 54°59' -05' 82° 55°06' -04' 83° 55°13' -02' 85° 8

9 54°00' -14' 75° 54°16' -12' 76° 54°30' -10' 77° 54°42' -09' 79° 54°53' -07' 80° 55°03' -05' 81° 55°11' -03' 83° 9

10 53°47' -15' 73° 54°03' -13' 74° 54°19' -12' 76° 54°33' -10' 77° 54°46' -08' 78° 54°58' -07' 80° 55°08' -05' 81° 10

11 53°31' -16' 71° 53°50' -15' 73° 54°07' -13' 74° 54°23' -11' 75° 54°38' -10' 77° 54°51' -08' 78° 55°03' -06' 79° 11

12 53°15' -18' 70° 53°35' -16' 71° 53°54' -15' 72° 54°12' -13' 74° 54°28' -11' 75° 54°43' -09' 76° 54°57' -08' 78° 12

13 52°57' -19' 68° 53°19' -17' 69° 53°40' -16' 71° 53°59' -14' 72° 54°17' -13' 73° 54°34' -11' 75° 54°49' -09' 76° 13

14 52°38' -20' 67° 53°02' -19' 68° 53°24' -17' 69° 53°45' -16' 70° 54°04' -14' 72° 54°23' -12' 73° 54°40' -11' 74° 14

15 52°18' -21' 65° 52°43' -20' 66° 53°07' -18' 67° 53°29' -17' 69° 53°50' -15' 70° 54°10' -14' 71° 54°29' -12' 72° 15

16 51°57' -23' 63° 52°23' -21' 65° 52°48' -20' 66° 53°12' -18' 67° 53°35' -17' 68° 53°57' -15' 70° 54°17' -13' 71° 16

17 51°34' -24' 62° 52°02' -22' 63° 52°28' -21' 64° 52°54' -19' 65° 53°18' -18' 67° 53°42' -16' 68° 54°04' -15' 69° 17

18 51°10' -25' 60° 51°40' -23' 62° 52°08' -22' 63° 52°35' -21' 64° 53°00' -19' 65° 53°25' -18' 66° 53°49' -16' 68° 18

19 50°46' -26' 59° 51°16' -25' 60° 51°46' -23' 61° 52°14' -22' 62° 52°41' -20' 63° 53°08' -19' 65° 53°33' -17' 66° 19

20 50°20' -27' 58° 50°52' -26' 59° 51°22' -24' 60° 51°52' -23' 61° 52°21' -22' 62° 52°49' -20' 63° 53°15' -19' 64° 20

21 49°53' -28' 56° 50°26' -27' 57° 50°58' -25' 58° 51°29' -24' 59° 51°59' -23' 60° 52°28' -21' 62° 52°56' -20' 63° 21

22 49°25' -29' 55° 49°59' -28' 56° 50°33' -26' 57° 51°05' -25' 58° 51°37' -24' 59° 52°07' -23' 60° 52°36' -21' 61° 22

23 48°56' -30' 53° 49°32' -29' 54° 50°06' -27' 55° 50°40' -26' 56° 51°13' -25' 57° 51°44' -24' 59° 52°15' -22' 60° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

35° 325° LHA Latitude SAME as Declination 35° 325° LHA

34° 326° LHA Latitude SAME as Declination 34° 326° LHA

34° 326° LHA Latitude SAME as Declination 34° 326° LHA

35° 325° LHA Latitude SAME as Declination 35° 325° LHA

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Page 21: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 54°00' -01' 90° 53°59' +01' 91° 53°57' +03' 93° 53°54' +05' 94° 53°49' +06' 95° 53°42' +08' 97° 53°34' +10' 98° 0

1 53°59' -02' 88° 54°00' 00' 90° 54°00' +01' 91° 53°58' +03' 92° 53°55' +05' 94° 53°50' +07' 95° 53°44' +08' 97° 1

2 53°57' -04' 87° 54°00' -02' 88° 54°01' 00' 89° 54°01' +02' 91° 54°00' +04' 92° 53°57' +05' 93° 53°53' +07' 95° 2

3 53°54' -05' 85° 53°58' -03' 86° 54°01' -01' 88° 54°03' +00' 89° 54°03' +02' 90° 54°02' +04' 92° 54°00' +06' 93° 3

4 53°49' -06' 83° 53°55' -05' 85° 54°00' -03' 86° 54°03' -01' 87° 54°05' +01' 89° 54°06' +02' 90° 54°05' +04' 91° 4

5 53°42' -08' 82° 53°50' -06' 83° 53°57' -04' 84° 54°02' -03' 86° 54°06' -01' 87° 54°08' +01' 88° 54°09' +03' 90° 5

6 53°34' -09' 80° 53°44' -08' 81° 53°53' -06' 83° 54°00' -04' 84° 54°05' -02' 85° 54°09' 00' 87° 54°12' +01' 88° 6

7 53°25' -11' 78° 53°37' -09' 80° 53°47' -07' 81° 53°56' -05' 82° 54°03' -04' 84° 54°09' -02' 85° 54°14' 00' 86° 7

8 53°14' -12' 77° 53°28' -10' 78° 53°40' -09' 79° 53°50' -07' 81° 53°59' -05' 82° 54°07' -03' 83° 54°13' -02' 85° 8

9 53°02' -13' 75° 53°17' -12' 76° 53°31' -10' 78° 53°43' -08' 79° 53°54' -07' 80° 54°04' -05' 82° 54°12' -03' 83° 9

10 52°49' -15' 73° 53°06' -13' 75° 53°21' -11' 76° 53°35' -10' 77° 53°48' -08' 79° 53°59' -06' 80° 54°09' -04' 81° 10

11 52°35' -16' 72° 52°53' -14' 73° 53°10' -13' 74° 53°25' -11' 76° 53°40' -09' 77° 53°53' -08' 78° 54°04' -06' 80° 11

12 52°19' -17' 70° 52°38' -16' 71° 52°57' -14' 73° 53°14' -12' 74° 53°30' -11' 75° 53°45' -09' 76° 53°58' -07' 78° 12

13 52°02' -18' 69° 52°23' -17' 70° 52°43' -15' 71° 53°02' -14' 72° 53°20' -12' 74° 53°36' -10' 75° 53°51' -09' 76° 13

14 51°43' -20' 67° 52°06' -18' 68° 52°28' -17' 69° 52°48' -15' 71° 53°08' -13' 72° 53°26' -12' 73° 53°42' -10' 74° 14

15 51°24' -21' 65° 51°48' -19' 67° 52°11' -18' 68° 52°33' -16' 69° 52°54' -15' 70° 53°14' -13' 72° 53°32' -12' 73° 15

16 51°03' -22' 64° 51°29' -20' 65° 51°53' -19' 66° 52°17' -18' 67° 52°39' -16' 69° 53°01' -14' 70° 53°21' -13' 71° 16

17 50°41' -23' 63° 51°08' -22' 64° 51°34' -20' 65° 51°59' -19' 66° 52°23' -17' 67° 52°46' -16' 68° 53°08' -14' 70° 17

18 50°18' -24' 61° 50°47' -23' 62° 51°14' -21' 63° 51°41' -20' 64° 52°06' -18' 66° 52°30' -17' 67° 52°54' -15' 68° 18

19 49°54' -25' 60° 50°24' -24' 61° 50°53' -22' 62° 51°21' -21' 63° 51°48' -20' 64° 52°13' -18' 65° 52°38' -17' 66° 19

20 49°29' -26' 58° 50°00' -25' 59° 50°30' -24' 60° 51°00' -22' 61° 51°28' -21' 62° 51°55' -19' 64° 52°21' -18' 65° 20

21 49°03' -27' 57° 49°35' -26' 58° 50°07' -25' 59° 50°37' -23' 60° 51°07' -22' 61° 51°36' -21' 62° 52°03' -19' 63° 21

22 48°36' -28' 55° 49°10' -27' 56° 49°42' -26' 57° 50°14' -24' 58° 50°45' -23' 59° 51°15' -22' 61° 51°44' -20' 62° 22

23 48°08' -29' 54° 48°43' -28' 55° 49°17' -27' 56° 49°50' -25' 57° 50°22' -24' 58° 50°53' -23' 59° 51°24' -22' 60° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 53°00' -01' 90° 52°59' +01' 91° 52°57' +03' 93° 52°54' +05' 94° 52°49' +06' 95° 52°43' +08' 97° 52°35' +10' 98° 0

1 52°59' -02' 88° 53°00' 00' 90° 53°00' +01' 91° 52°58' +03' 92° 52°55' +05' 94° 52°51' +07' 95° 52°45' +08' 96° 1

2 52°57' -03' 87° 53°00' -02' 88° 53°01' +00' 89° 53°01' +02' 91° 53°00' +03' 92° 52°57' +05' 93° 52°53' +07' 95° 2

3 52°54' -05' 85° 52°58' -03' 86° 53°01' -01' 88° 53°03' +00' 89° 53°04' +02' 90° 53°02' +04' 92° 53°00' +06' 93° 3

4 52°49' -06' 83° 52°55' -04' 85° 53°00' -03' 86° 53°04' -01' 87° 53°06' +01' 89° 53°06' +02' 90° 53°06' +04' 91° 4

5 52°43' -08' 82° 52°51' -06' 83° 52°57' -04' 84° 53°02' -02' 86° 53°06' -01' 87° 53°09' +01' 88° 53°10' +03' 90° 5

6 52°35' -09' 80° 52°45' -07' 81° 52°53' -06' 83° 53°00' -04' 84° 53°06' -02' 85° 53°10' 00' 87° 53°13' +01' 88° 6

7 52°26' -10' 78° 52°38' -09' 80° 52°48' -07' 81° 52°56' -05' 82° 53°04' -03' 84° 53°09' -02' 85° 53°14' 00' 86° 7

8 52°16' -12' 77° 52°29' -10' 78° 52°41' -08' 79° 52°51' -07' 81° 53°00' -05' 82° 53°08' -03' 83° 53°14' -01' 85° 8

9 52°04' -13' 75° 52°19' -11' 77° 52°32' -10' 78° 52°44' -08' 79° 52°55' -06' 80° 53°05' -05' 82° 53°13' -03' 83° 9

10 51°52' -14' 74° 52°08' -13' 75° 52°23' -11' 76° 52°37' -09' 77° 52°49' -08' 79° 53°00' -06' 80° 53°10' -04' 81° 10

11 51°37' -15' 72° 51°55' -14' 73° 52°12' -12' 75° 52°27' -11' 76° 52°41' -09' 77° 52°54' -07' 78° 53°06' -06' 80° 11

12 51°22' -17' 71° 51°42' -15' 72° 52°00' -13' 73° 52°17' -12' 74° 52°32' -10' 75° 52°47' -09' 77° 53°00' -07' 78° 12

13 51°06' -18' 69° 51°26' -16' 70° 51°46' -15' 71° 52°05' -13' 73° 52°22' -12' 74° 52°38' -10' 75° 52°53' -08' 76° 13

14 50°48' -19' 67° 51°10' -17' 69° 51°32' -16' 70° 51°52' -14' 71° 52°11' -13' 72° 52°28' -11' 73° 52°45' -10' 75° 14

15 50°29' -20' 66° 50°53' -19' 67° 51°16' -17' 68° 51°37' -16' 69° 51°58' -14' 71° 52°17' -13' 72° 52°35' -11' 73° 15

16 50°09' -21' 65° 50°34' -20' 66° 50°58' -18' 67° 51°22' -17' 68° 51°44' -15' 69° 52°04' -14' 70° 52°24' -12' 71° 16

17 49°48' -22' 63° 50°14' -21' 64° 50°40' -20' 65° 51°05' -18' 66° 51°28' -17' 68° 51°51' -15' 69° 52°12' -14' 70° 17

18 49°25' -23' 62° 49°53' -22' 63° 50°21' -21' 64° 50°47' -19' 65° 51°12' -18' 66° 51°35' -16' 67° 51°58' -15' 68° 18

19 49°02' -24' 60° 49°32' -23' 61° 50°00' -22' 62° 50°27' -20' 63° 50°54' -19' 64° 51°19' -18' 66° 51°43' -16' 67° 19

20 48°38' -25' 59° 49°08' -24' 60° 49°38' -23' 61° 50°07' -21' 62° 50°35' -20' 63° 51°02' -19' 64° 51°27' -17' 65° 20

21 48°13' -26' 57° 48°44' -25' 58° 49°15' -24' 59° 49°45' -23' 60° 50°15' -21' 61° 50°43' -20' 63° 51°10' -18' 64° 21

22 47°46' -27' 56° 48°19' -26' 57° 48°52' -25' 58° 49°23' -24' 59° 49°53' -22' 60° 50°23' -21' 61° 50°51' -20' 62° 22

23 47°19' -28' 55° 47°53' -27' 56° 48°27' -26' 57° 48°59' -25' 58° 49°31' -23' 59° 50°02' -22' 60° 50°32' -21' 61° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

36° 324° LHA Latitude SAME as Declination 36° 324° LHA

36° 324° LHA Latitude SAME as Declination 36° 324° LHA

37° 323° LHA Latitude SAME as Declination 37° 323° LHA

37° 323° LHA Latitude SAME as Declination 37° 323° LHA

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Page 22: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 52°00' -01' 90° 51°59' +01' 91° 51°57' +03' 93° 51°54' +04' 94° 51°49' +06' 95° 51°43' +08' 96° 51°36' +09' 98° 0

1 51°59' -02' 88° 52°00' 00' 90° 52°00' +01' 91° 51°58' +03' 92° 51°55' +05' 93° 51°51' +06' 95° 51°45' +08' 96° 1

2 51°57' -03' 87° 52°00' -02' 88° 52°01' +00' 89° 52°01' +02' 91° 52°00' +03' 92° 51°58' +05' 93° 51°54' +07' 94° 2

3 51°54' -05' 85° 51°58' -03' 86° 52°01' -01' 88° 52°03' +00' 89° 52°04' +02' 90° 52°03' +04' 92° 52°00' +06' 93° 3

4 51°49' -06' 84° 51°55' -04' 85° 52°00' -03' 86° 52°04' -01' 87° 52°06' +01' 89° 52°07' +02' 90° 52°06' +04' 91° 4

5 51°43' -07' 82° 51°51' -06' 83° 51°58' -04' 84° 52°03' -02' 86° 52°07' -01' 87° 52°09' +01' 88° 52°10' +03' 90° 5

6 51°36' -09' 80° 51°45' -07' 82° 51°54' -05' 83° 52°00' -04' 84° 52°06' -02' 85° 52°10' 00' 87° 52°13' +01' 88° 6

7 51°27' -10' 79° 51°38' -08' 80° 51°48' -07' 81° 51°57' -05' 82° 52°04' -03' 84° 52°10' -02' 85° 52°14' +00' 86° 7

8 51°18' -11' 77° 51°30' -10' 78° 51°42' -08' 80° 51°52' -06' 81° 52°01' -05' 82° 52°08' -03' 83° 52°15' -01' 85° 8

9 51°06' -12' 76° 51°21' -11' 77° 51°34' -09' 78° 51°46' -08' 79° 51°56' -06' 80° 52°05' -04' 82° 52°13' -03' 83° 9

10 50°54' -14' 74° 51°10' -12' 75° 51°25' -10' 76° 51°38' -09' 78° 51°50' -07' 79° 52°01' -06' 80° 52°11' -04' 81° 10

11 50°40' -15' 72° 50°58' -13' 74° 51°14' -12' 75° 51°29' -10' 76° 51°43' -09' 77° 51°56' -07' 79° 52°07' -05' 80° 11

12 50°25' -16' 71° 50°45' -15' 72° 51°02' -13' 73° 51°19' -11' 74° 51°34' -10' 76° 51°49' -08' 77° 52°02' -07' 78° 12

13 50°09' -17' 69° 50°30' -16' 71° 50°49' -14' 72° 51°08' -13' 73° 51°25' -11' 74° 51°40' -10' 75° 51°55' -08' 77° 13

14 49°52' -18' 68° 50°14' -17' 69° 50°35' -15' 70° 50°55' -14' 71° 51°14' -12' 73° 51°31' -11' 74° 51°47' -09' 75° 14

15 49°34' -19' 66° 49°57' -18' 68° 50°20' -17' 69° 50°41' -15' 70° 51°01' -14' 71° 51°20' -12' 72° 51°38' -10' 73° 15

16 49°15' -20' 65° 49°39' -19' 66° 50°03' -18' 67° 50°26' -16' 68° 50°48' -15' 69° 51°08' -13' 71° 51°27' -12' 72° 16

17 48°54' -22' 64° 49°20' -20' 65° 49°45' -19' 66° 50°10' -17' 67° 50°33' -16' 68° 50°55' -15' 69° 51°16' -13' 70° 17

18 48°33' -23' 62° 49°00' -21' 63° 49°27' -20' 64° 49°52' -19' 65° 50°17' -17' 66° 50°40' -16' 68° 51°03' -14' 69° 18

19 48°10' -24' 61° 48°39' -22' 62° 49°07' -21' 63° 49°34' -20' 64° 50°00' -18' 65° 50°25' -17' 66° 50°48' -15' 67° 19

20 47°46' -25' 59° 48°16' -23' 60° 48°46' -22' 61° 49°14' -21' 62° 49°41' -19' 63° 50°08' -18' 64° 50°33' -17' 66° 20

21 47°22' -25' 58° 47°53' -24' 59° 48°24' -23' 60° 48°53' -22' 61° 49°22' -20' 62° 49°50' -19' 63° 50°16' -18' 64° 21

22 46°56' -26' 57° 47°29' -25' 58° 48°01' -24' 59° 48°31' -23' 60° 49°01' -22' 61° 49°30' -20' 62° 49°59' -19' 63° 22

23 46°30' -27' 55° 47°04' -26' 56° 47°37' -25' 57° 48°09' -24' 58° 48°40' -23' 59° 49°10' -21' 60° 49°40' -20' 61° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 51°00' -01' 90° 50°59' +01' 91° 50°57' +03' 92° 50°54' +04' 94° 50°50' +06' 95° 50°44' +08' 96° 50°37' +09' 97° 0

1 50°59' -02' 88° 51°00' 00' 90° 51°00' +01' 91° 50°59' +03' 92° 50°56' +05' 93° 50°52' +06' 95° 50°46' +08' 96° 1

2 50°57' -03' 87° 51°00' -02' 88° 51°01' +00' 89° 51°02' +02' 91° 51°00' +03' 92° 50°58' +05' 93° 50°54' +07' 94° 2

3 50°54' -05' 85° 50°59' -03' 86° 51°02' -01' 88° 51°03' +00' 89° 51°04' +02' 90° 51°03' +04' 91° 51°01' +05' 93° 3

4 50°50' -06' 84° 50°56' -04' 85° 51°00' -02' 86° 51°04' -01' 87° 51°06' +01' 89° 51°07' +02' 90° 51°06' +04' 91° 4

5 50°44' -07' 82° 50°52' -05' 83° 50°58' -04' 85° 51°03' -02' 86° 51°07' 00' 87° 51°09' +01' 88° 51°10' +03' 89° 5

6 50°37' -08' 81° 50°46' -07' 82° 50°54' -05' 83° 51°01' -03' 84° 51°06' -02' 85° 51°10' 00' 87° 51°13' +02' 88° 6

7 50°29' -10' 79° 50°39' -08' 80° 50°49' -06' 81° 50°57' -05' 83° 51°05' -03' 84° 51°10' -01' 85° 51°15' +00' 86° 7

8 50°19' -11' 77° 50°31' -09' 79° 50°43' -08' 80° 50°53' -06' 81° 51°01' -04' 82° 51°09' -03' 83° 51°15' -01' 85° 8

9 50°08' -12' 76° 50°22' -10' 77° 50°35' -09' 78° 50°47' -07' 79° 50°57' -06' 81° 51°06' -04' 82° 51°14' -02' 83° 9

10 49°56' -13' 74° 50°12' -12' 76° 50°26' -10' 77° 50°39' -09' 78° 50°52' -07' 79° 51°02' -05' 80° 51°12' -04' 81° 10

11 49°43' -14' 73° 50°00' -13' 74° 50°16' -11' 75° 50°31' -10' 76° 50°45' -08' 77° 50°57' -07' 79° 51°08' -05' 80° 11

12 49°29' -15' 71° 49°47' -14' 72° 50°05' -13' 74° 50°21' -11' 75° 50°36' -09' 76° 50°50' -08' 77° 51°03' -06' 78° 12

13 49°13' -17' 70° 49°33' -15' 71° 49°52' -14' 72° 50°10' -12' 73° 50°27' -11' 74° 50°43' -09' 76° 50°57' -07' 77° 13

14 48°57' -18' 68° 49°18' -16' 69° 49°39' -15' 71° 49°58' -13' 72° 50°16' -12' 73° 50°34' -10' 74° 50°49' -09' 75° 14

15 48°39' -19' 67° 49°02' -17' 68° 49°24' -16' 69° 49°45' -15' 70° 50°05' -13' 71° 50°23' -12' 72° 50°41' -10' 74° 15

16 48°20' -20' 66° 48°44' -18' 67° 49°08' -17' 68° 49°30' -16' 69° 49°51' -14' 70° 50°12' -13' 71° 50°31' -11' 72° 16

17 48°00' -21' 64° 48°26' -20' 65° 48°51' -18' 66° 49°15' -17' 67° 49°37' -15' 68° 49°59' -14' 69° 50°20' -12' 71° 17

18 47°39' -22' 63° 48°06' -21' 64° 48°33' -19' 65° 48°58' -18' 66° 49°22' -17' 67° 49°45' -15' 68° 50°07' -14' 69° 18

19 47°17' -23' 61° 47°46' -22' 62° 48°13' -20' 63° 48°40' -19' 64° 49°05' -18' 65° 49°30' -16' 66° 49°53' -15' 67° 19

20 46°55' -24' 60° 47°24' -23' 61° 47°53' -21' 62° 48°21' -20' 63° 48°48' -19' 64° 49°14' -17' 65° 49°39' -16' 66° 20

21 46°31' -25' 59° 47°02' -24' 60° 47°32' -22' 60° 48°01' -21' 61° 48°29' -20' 62° 48°56' -18' 63° 49°23' -17' 64° 21

22 46°06' -26' 57° 46°38' -24' 58° 47°09' -23' 59° 47°40' -22' 60° 48°09' -21' 61° 48°38' -20' 62° 49°06' -18' 63° 22

23 45°40' -27' 56° 46°14' -25' 57° 46°46' -24' 58° 47°18' -23' 59° 47°48' -22' 60° 48°18' -21' 61° 48°47' -19' 62° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

38° 322° LHA Latitude SAME as Declination 38° 322° LHA

39° 321° LHA Latitude SAME as Declination 39° 321° LHA

39° 321° LHA Latitude SAME as Declination 39° 321° LHA

38° 322° LHA Latitude SAME as Declination 38° 322° LHA

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Page 23: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 50°00' -01' 90° 49°59' +01' 91° 49°58' +03' 92° 49°54' +04' 94° 49°50' +06' 95° 49°44' +07' 96° 49°38' +09' 97° 0

1 49°59' -02' 88° 50°00' 00' 90° 50°00' +01' 91° 49°59' +03' 92° 49°56' +05' 93° 49°52' +06' 94° 49°47' +08' 96° 1

2 49°58' -03' 87° 50°00' -01' 88° 50°02' +00' 89° 50°02' +02' 90° 50°01' +03' 92° 49°58' +05' 93° 49°55' +07' 94° 2

3 49°54' -04' 85° 49°59' -03' 87° 50°02' -01' 88° 50°03' +01' 89° 50°04' +02' 90° 50°03' +04' 91° 50°01' +05' 92° 3

4 49°50' -06' 84° 49°56' -04' 85° 50°01' -02' 86° 50°04' -01' 87° 50°06' +01' 89° 50°07' +03' 90° 50°07' +04' 91° 4

5 49°44' -07' 82° 49°52' -05' 83° 49°58' -04' 85° 50°03' -02' 86° 50°07' 00' 87° 50°10' +01' 88° 50°11' +03' 89° 5

6 49°38' -08' 81° 49°47' -06' 82° 49°55' -05' 83° 50°01' -03' 84° 50°07' -02' 85° 50°11' +00' 87° 50°14' +02' 88° 6

7 49°30' -09' 79° 49°40' -08' 80° 49°50' -06' 82° 49°58' -04' 83° 50°05' -03' 84° 50°11' -01' 85° 50°15' +00' 86° 7

8 49°20' -10' 78° 49°33' -09' 79° 49°44' -07' 80° 49°54' -06' 81° 50°02' -04' 82° 50°10' -02' 83° 50°16' -01' 85° 8

9 49°10' -12' 76° 49°24' -10' 77° 49°36' -08' 78° 49°48' -07' 80° 49°58' -05' 81° 50°07' -04' 82° 50°15' -02' 83° 9

10 48°58' -13' 75° 49°14' -11' 76° 49°28' -10' 77° 49°41' -08' 78° 49°53' -07' 79° 50°03' -05' 80° 50°13' -03' 82° 10

11 48°46' -14' 73° 49°02' -12' 74° 49°18' -11' 75° 49°33' -09' 77° 49°46' -08' 78° 49°58' -06' 79° 50°09' -05' 80° 11

12 48°32' -15' 72° 48°50' -14' 73° 49°07' -12' 74° 49°23' -11' 75° 49°38' -09' 76° 49°52' -07' 77° 50°05' -06' 78° 12

13 48°17' -16' 70° 48°37' -15' 71° 48°55' -13' 72° 49°13' -12' 73° 49°29' -10' 75° 49°45' -09' 76° 49°59' -07' 77° 13

14 48°01' -17' 69° 48°22' -16' 70° 48°42' -14' 71° 49°01' -13' 72° 49°19' -11' 73° 49°36' -10' 74° 49°52' -08' 75° 14

15 47°44' -18' 67° 48°06' -17' 68° 48°28' -15' 69° 48°48' -14' 71° 49°08' -13' 72° 49°26' -11' 73° 49°43' -10' 74° 15

16 47°25' -19' 66° 47°49' -18' 67° 48°12' -17' 68° 48°34' -15' 69° 48°55' -14' 70° 49°15' -12' 71° 49°34' -11' 72° 16

17 47°06' -20' 65° 47°31' -19' 66° 47°56' -18' 67° 48°19' -16' 68° 48°42' -15' 69° 49°03' -13' 70° 49°23' -12' 71° 17

18 46°46' -21' 63° 47°13' -20' 64° 47°38' -19' 65° 48°03' -17' 66° 48°27' -16' 67° 48°50' -15' 68° 49°11' -13' 69° 18

19 46°25' -22' 62° 46°53' -21' 63° 47°20' -20' 64° 47°46' -18' 65° 48°11' -17' 66° 48°35' -16' 67° 48°58' -14' 68° 19

20 46°03' -23' 60° 46°32' -22' 61° 47°00' -21' 62° 47°27' -19' 63° 47°54' -18' 64° 48°19' -17' 65° 48°44' -15' 66° 20

21 45°39' -24' 59° 46°10' -23' 60° 46°39' -22' 61° 47°08' -20' 62° 47°36' -19' 63° 48°03' -18' 64° 48°29' -16' 65° 21

22 45°15' -25' 58° 45°47' -24' 59° 46°18' -23' 60° 46°48' -21' 61° 47°17' -20' 61° 47°45' -19' 62° 48°12' -18' 63° 22

23 44°50' -26' 57° 45°23' -25' 57° 45°55' -23' 58° 46°26' -22' 59° 46°57' -21' 60° 47°26' -20' 61° 47°55' -19' 62° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 49°00' -01' 90° 48°59' +01' 91° 48°58' +03' 92° 48°55' +04' 93° 48°50' +06' 95° 48°45' +07' 96° 48°38' +09' 97° 0

1 48°59' -02' 88° 49°00' 00' 90° 49°00' +01' 91° 48°59' +03' 92° 48°56' +05' 93° 48°52' +06' 94° 48°47' +08' 95° 1

2 48°58' -03' 87° 49°00' -01' 88° 49°02' +00' 89° 49°02' +02' 90° 49°01' +03' 92° 48°58' +05' 93° 48°55' +07' 94° 2

3 48°55' -04' 85° 48°59' -03' 87° 49°02' -01' 88° 49°04' +01' 89° 49°04' +02' 90° 49°03' +04' 91° 49°02' +05' 92° 3

4 48°50' -05' 84° 48°56' -04' 85° 49°01' -02' 86° 49°04' -01' 87° 49°06' +01' 89° 49°07' +03' 90° 49°07' +04' 91° 4

5 48°45' -07' 82° 48°52' -05' 84° 48°58' -03' 85° 49°03' -02' 86° 49°07' 00' 87° 49°10' +01' 88° 49°11' +03' 89° 5

6 48°38' -08' 81° 48°47' -06' 82° 48°55' -05' 83° 49°02' -03' 84° 49°07' -01' 85° 49°11' +00' 87° 49°14' +02' 88° 6

7 48°31' -09' 79° 48°41' -07' 81° 48°50' -06' 82° 48°59' -04' 83° 49°06' -03' 84° 49°11' -01' 85° 49°16' +01' 86° 7

8 48°22' -10' 78° 48°34' -09' 79° 48°45' -07' 80° 48°54' -05' 81° 49°03' -04' 82° 49°10' -02' 84° 49°16' -01' 85° 8

9 48°12' -11' 76° 48°25' -10' 78° 48°38' -08' 79° 48°49' -07' 80° 48°59' -05' 81° 49°08' -03' 82° 49°16' -02' 83° 9

10 48°01' -12' 75° 48°16' -11' 76° 48°29' -09' 77° 48°42' -08' 78° 48°54' -06' 79° 49°04' -05' 80° 49°14' -03' 82° 10

11 47°48' -13' 73° 48°05' -12' 75° 48°20' -10' 76° 48°34' -09' 77° 48°48' -07' 78° 49°00' -06' 79° 49°11' -04' 80° 11

12 47°35' -14' 72° 47°53' -13' 73° 48°10' -12' 74° 48°25' -10' 75° 48°40' -09' 76° 48°54' -07' 77° 49°06' -06' 79° 12

13 47°20' -16' 71° 47°40' -14' 72° 47°58' -13' 73° 48°15' -11' 74° 48°32' -10' 75° 48°47' -08' 76° 49°01' -07' 77° 13

14 47°05' -17' 69° 47°26' -15' 70° 47°45' -14' 71° 48°04' -12' 72° 48°22' -11' 73° 48°38' -09' 74° 48°54' -08' 76° 14

15 46°48' -18' 68° 47°10' -16' 69° 47°32' -15' 70° 47°52' -13' 71° 48°11' -12' 72° 48°29' -11' 73° 48°46' -09' 74° 15

16 46°30' -19' 66° 46°54' -17' 67° 47°17' -16' 68° 47°38' -15' 69° 47°59' -13' 70° 48°19' -12' 71° 48°37' -10' 73° 16

17 46°12' -20' 65° 46°37' -18' 66° 47°01' -17' 67° 47°24' -16' 68° 47°46' -14' 69° 48°07' -13' 70° 48°27' -11' 71° 17

18 45°52' -21' 64° 46°18' -19' 65° 46°44' -18' 66° 47°08' -17' 67° 47°32' -15' 68° 47°54' -14' 69° 48°15' -13' 70° 18

19 45°32' -22' 62° 45°59' -20' 63° 46°26' -19' 64° 46°51' -18' 65° 47°16' -16' 66° 47°40' -15' 67° 48°03' -14' 68° 19

20 45°10' -22' 61° 45°39' -21' 62° 46°07' -20' 63° 46°34' -19' 64° 47°00' -17' 65° 47°25' -16' 66° 47°49' -15' 67° 20

21 44°48' -23' 60° 45°18' -22' 61° 45°47' -21' 61° 46°15' -20' 62° 46°42' -18' 63° 47°09' -17' 64° 47°35' -16' 65° 21

22 44°24' -24' 58° 44°56' -23' 59° 45°26' -22' 60° 45°55' -21' 61° 46°24' -19' 62° 46°52' -18' 63° 47°19' -17' 64° 22

23 44°00' -25' 57° 44°32' -24' 58° 45°04' -23' 59° 45°35' -22' 60° 46°05' -20' 61° 46°34' -19' 61° 47°02' -18' 62° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

41° 319° LHA Latitude SAME as Declination 41° 319° LHA

40° 320° LHA Latitude SAME as Declination 40° 320° LHA

40° 320° LHA Latitude SAME as Declination 40° 320° LHA

41° 319° LHA Latitude SAME as Declination 41° 319° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

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Page 24: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 48°00' -01' 90° 47°59' +01' 91° 47°58' +03' 92° 47°55' +04' 93° 47°51' +06' 94° 47°46' +07' 96° 47°39' +09' 97° 0

1 47°59' -02' 89° 48°00' 00' 90° 48°00' +01' 91° 47°59' +03' 92° 47°56' +05' 93° 47°53' +06' 94° 47°48' +08' 95° 1

2 47°58' -03' 87° 48°00' -01' 88° 48°02' +00' 89° 48°02' +02' 90° 48°01' +03' 91° 47°59' +05' 93° 47°56' +06' 94° 2

3 47°55' -04' 86° 47°59' -03' 87° 48°02' -01' 88° 48°04' +01' 89° 48°04' +02' 90° 48°04' +04' 91° 48°02' +05' 92° 3

4 47°51' -05' 84° 47°56' -04' 85° 48°01' -02' 86° 48°04' -01' 87° 48°06' +01' 88° 48°07' +03' 90° 48°07' +04' 91° 4

5 47°46' -06' 83° 47°53' -05' 84° 47°59' -03' 85° 48°04' -02' 86° 48°07' 00' 87° 48°10' +01' 88° 48°11' +03' 89° 5

6 47°39' -07' 81° 47°48' -06' 82° 47°56' -04' 83° 48°02' -03' 84° 48°07' -01' 85° 48°11' +00' 87° 48°14' +02' 88° 6

7 47°32' -09' 80° 47°42' -07' 81° 47°51' -06' 82° 47°59' -04' 83° 48°06' -02' 84° 48°12' -01' 85° 48°16' +01' 86° 7

8 47°23' -10' 78° 47°35' -08' 79° 47°46' -07' 80° 47°55' -05' 81° 48°04' -04' 82° 48°11' -02' 84° 48°17' -01' 85° 8

9 47°13' -11' 77° 47°27' -09' 78° 47°39' -08' 79° 47°50' -06' 80° 48°00' -05' 81° 48°09' -03' 82° 48°16' -02' 83° 9

10 47°03' -12' 75° 47°17' -10' 76° 47°31' -09' 77° 47°44' -07' 78° 47°55' -06' 79° 48°05' -04' 81° 48°15' -03' 82° 10

11 46°51' -13' 74° 47°07' -12' 75° 47°22' -10' 76° 47°36' -09' 77° 47°49' -07' 78° 48°01' -06' 79° 48°12' -04' 80° 11

12 46°38' -14' 72° 46°55' -13' 73° 47°12' -11' 74° 47°28' -10' 75° 47°42' -08' 77° 47°55' -07' 78° 48°08' -05' 79° 12

13 46°24' -15' 71° 46°43' -14' 72° 47°01' -12' 73° 47°18' -11' 74° 47°34' -09' 75° 47°49' -08' 76° 48°03' -06' 77° 13

14 46°09' -16' 70° 46°29' -15' 71° 46°49' -13' 72° 47°07' -12' 73° 47°24' -10' 74° 47°41' -09' 75° 47°56' -08' 76° 14

15 45°53' -17' 68° 46°14' -16' 69° 46°35' -14' 70° 46°55' -13' 71° 47°14' -12' 72° 47°32' -10' 73° 47°49' -09' 74° 15

16 45°35' -18' 67° 45°59' -17' 68° 46°21' -15' 69° 46°42' -14' 70° 47°02' -13' 71° 47°22' -11' 72° 47°40' -10' 73° 16

17 45°17' -19' 65° 45°42' -18' 66° 46°05' -16' 67° 46°28' -15' 68° 46°50' -14' 69° 47°11' -12' 70° 47°30' -11' 71° 17

18 44°58' -20' 64° 45°24' -19' 65° 45°49' -17' 66° 46°13' -16' 67° 46°36' -15' 68° 46°58' -13' 69° 47°19' -12' 70° 18

19 44°38' -21' 63° 45°05' -20' 64° 45°32' -18' 65° 45°57' -17' 65° 46°21' -16' 66° 46°45' -14' 67° 47°07' -13' 68° 19

20 44°18' -22' 61° 44°46' -21' 62° 45°13' -19' 63° 45°40' -18' 64° 46°06' -17' 65° 46°31' -15' 66° 46°54' -14' 67° 20

21 43°56' -23' 60° 44°25' -21' 61° 44°54' -20' 62° 45°22' -19' 63° 45°49' -18' 64° 46°15' -16' 65° 46°40' -15' 66° 21

22 43°33' -23' 59° 44°04' -22' 60° 44°34' -21' 61° 45°03' -20' 61° 45°31' -19' 62° 45°59' -17' 63° 46°25' -16' 64° 22

23 43°10' -24' 58° 43°42' -23' 58° 44°13' -22' 59° 44°43' -21' 60° 45°12' -20' 61° 45°41' -18' 62° 46°09' -17' 63° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 47°00' -01' 90° 46°59' +01' 91° 46°58' +03' 92° 46°55' +04' 93° 46°51' +06' 94° 46°46' +07' 95° 46°40' +09' 96° 0

1 46°59' -02' 89° 47°00' 00' 90° 47°00' +01' 91° 46°59' +03' 92° 46°57' +04' 93° 46°53' +06' 94° 46°48' +07' 95° 1

2 46°58' -03' 87° 47°00' -01' 88° 47°02' +00' 89° 47°02' +02' 90° 47°01' +03' 91° 46°59' +05' 92° 46°56' +06' 94° 2

3 46°55' -04' 86° 46°59' -02' 87° 47°02' -01' 88° 47°04' +01' 89° 47°04' +02' 90° 47°04' +04' 91° 47°02' +05' 92° 3

4 46°51' -05' 84° 46°57' -04' 85° 47°01' -02' 86° 47°04' 00' 87° 47°07' +01' 88° 47°08' +03' 90° 47°08' +04' 91° 4

5 46°46' -06' 83° 46°53' -05' 84° 46°59' -03' 85° 47°04' -02' 86° 47°08' 00' 87° 47°10' +01' 88° 47°12' +03' 89° 5

6 46°40' -07' 81° 46°48' -06' 82° 46°56' -04' 83° 47°02' -03' 84° 47°08' -01' 85° 47°12' +00' 87° 47°15' +02' 88° 6

7 46°33' -08' 80° 46°43' -07' 81° 46°52' -05' 82° 47°00' -04' 83° 47°06' -02' 84° 47°12' -01' 85° 47°17' +01' 86° 7

8 46°24' -09' 78° 46°36' -08' 79° 46°46' -06' 80° 46°56' -05' 81° 47°04' -03' 83° 47°11' -02' 84° 47°18' 00' 85° 8

9 46°15' -10' 77° 46°28' -09' 78° 46°40' -08' 79° 46°51' -06' 80° 47°01' -05' 81° 47°09' -03' 82° 47°17' -01' 83° 9

10 46°04' -12' 76° 46°19' -10' 77° 46°32' -09' 78° 46°45' -07' 79° 46°56' -06' 80° 47°06' -04' 81° 47°16' -03' 82° 10

11 45°53' -13' 74° 46°09' -11' 75° 46°24' -10' 76° 46°38' -08' 77° 46°51' -07' 78° 47°02' -05' 79° 47°13' -04' 80° 11

12 45°40' -14' 73° 45°58' -12' 74° 46°14' -11' 75° 46°29' -09' 76° 46°44' -08' 77° 46°57' -06' 78° 47°09' -05' 79° 12

13 45°27' -15' 71° 45°46' -13' 72° 46°03' -12' 73° 46°20' -10' 74° 46°36' -09' 75° 46°51' -07' 76° 47°04' -06' 77° 13

14 45°12' -16' 70° 45°32' -14' 71° 45°52' -13' 72° 46°10' -11' 73° 46°27' -10' 74° 46°43' -09' 75° 46°58' -07' 76° 14

15 44°57' -17' 69° 45°18' -15' 69° 45°39' -14' 70° 45°58' -12' 71° 46°17' -11' 72° 46°35' -10' 73° 46°51' -08' 74° 15

16 44°40' -17' 67° 45°03' -16' 68° 45°25' -15' 69° 45°46' -13' 70° 46°06' -12' 71° 46°25' -11' 72° 46°43' -09' 73° 16

17 44°23' -18' 66° 44°47' -17' 67° 45°10' -16' 68° 45°32' -15' 69° 45°54' -13' 70° 46°14' -12' 71° 46°34' -10' 72° 17

18 44°04' -19' 65° 44°30' -18' 65° 44°54' -17' 66° 45°18' -15' 67° 45°41' -14' 68° 46°02' -13' 69° 46°23' -11' 70° 18

19 43°45' -20' 63° 44°12' -19' 64° 44°37' -18' 65° 45°02' -16' 66° 45°26' -15' 67° 45°50' -14' 68° 46°12' -12' 69° 19

20 43°25' -21' 62° 43°53' -20' 63° 44°20' -19' 64° 44°46' -17' 65° 45°11' -16' 65° 45°36' -15' 66° 45°59' -14' 67° 20

21 43°04' -22' 61° 43°33' -21' 61° 44°01' -20' 62° 44°28' -18' 63° 44°55' -17' 64° 45°21' -16' 65° 45°46' -15' 66° 21

22 42°42' -23' 59° 43°12' -22' 60° 43°41' -20' 61° 44°10' -19' 62° 44°38' -18' 63° 45°05' -17' 64° 45°31' -16' 64° 22

23 42°19' -24' 58° 42°50' -22' 59° 43°21' -21' 60° 43°51' -20' 61° 44°20' -19' 61° 44°48' -18' 62° 45°16' -17' 63° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

42° 318° LHA Latitude SAME as Declination 42° 318° LHA

42° 318° LHA Latitude SAME as Declination 42° 318° LHA

43° 317° LHA Latitude SAME as Declination 43° 317° LHA

43° 317° LHA Latitude SAME as Declination 43° 317° LHA

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Page 25: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 46°00' -01' 90° 45°59' +01' 91° 45°58' +02' 92° 45°55' +04' 93° 45°51' +05' 94° 45°46' +07' 95° 45°41' +08' 96° 0

1 45°59' -02' 89° 46°00' 00' 90° 46°00' +01' 91° 45°59' +03' 92° 45°57' +04' 93° 45°53' +06' 94° 45°49' +07' 95° 1

2 45°58' -03' 87° 46°00' -01' 88° 46°02' +00' 89° 46°02' +02' 90° 46°01' +03' 91° 45°59' +05' 92° 45°56' +06' 93° 2

3 45°55' -04' 86° 45°59' -02' 87° 46°02' -01' 88° 46°04' +01' 89° 46°05' +02' 90° 46°04' +04' 91° 46°03' +05' 92° 3

4 45°51' -05' 84° 45°57' -03' 85° 46°01' -02' 86° 46°05' 00' 87° 46°07' +01' 88° 46°08' +03' 89° 46°08' +04' 90° 4

5 45°46' -06' 83° 45°53' -04' 84° 45°59' -03' 85° 46°04' -01' 86° 46°08' +00' 87° 46°11' +02' 88° 46°12' +03' 89° 5

6 45°41' -07' 81° 45°49' -06' 82° 45°56' -04' 83° 46°03' -03' 84° 46°08' -01' 86° 46°12' +00' 87° 46°15' +02' 88° 6

7 45°34' -08' 80° 45°43' -07' 81° 45°52' -05' 82° 46°00' -04' 83° 46°07' -02' 84° 46°13' -01' 85° 46°17' +01' 86° 7

8 45°26' -09' 79° 45°37' -08' 80° 45°47' -06' 81° 45°57' -05' 82° 46°05' -03' 83° 46°12' -02' 84° 46°18' 00' 85° 8

9 45°16' -10' 77° 45°29' -09' 78° 45°41' -07' 79° 45°52' -06' 80° 46°02' -04' 81° 46°10' -03' 82° 46°18' -01' 83° 9

10 45°06' -11' 76° 45°21' -10' 77° 45°34' -08' 78° 45°46' -07' 79° 45°57' -05' 80° 46°07' -04' 81° 46°17' -02' 82° 10

11 44°55' -12' 74° 45°11' -11' 75° 45°26' -09' 76° 45°39' -08' 77° 45°52' -06' 78° 46°04' -05' 79° 46°14' -03' 80° 11

12 44°43' -13' 73° 45°00' -12' 74° 45°16' -10' 75° 45°31' -09' 76° 45°46' -07' 77° 45°59' -06' 78° 46°11' -05' 79° 12

13 44°30' -14' 72° 44°48' -13' 73° 45°06' -11' 74° 45°22' -10' 74° 45°38' -09' 75° 45°53' -07' 76° 46°06' -06' 77° 13

14 44°16' -15' 70° 44°36' -14' 71° 44°55' -12' 72° 45°13' -11' 73° 45°29' -10' 74° 45°45' -08' 75° 46°00' -07' 76° 14

15 44°01' -16' 69° 44°22' -15' 70° 44°42' -13' 71° 45°02' -12' 72° 45°20' -11' 73° 45°37' -09' 74° 45°54' -08' 75° 15

16 43°45' -17' 68° 44°07' -16' 68° 44°29' -14' 69° 44°50' -13' 70° 45°09' -12' 71° 45°28' -10' 72° 45°46' -09' 73° 16

17 43°28' -18' 66° 43°52' -17' 67° 44°15' -15' 68° 44°37' -14' 69° 44°58' -13' 70° 45°18' -11' 71° 45°37' -10' 72° 17

18 43°10' -19' 65° 43°35' -17' 66° 43°59' -16' 67° 44°23' -15' 68° 44°45' -14' 68° 45°07' -12' 69° 45°27' -11' 70° 18

19 42°51' -20' 64° 43°18' -18' 64° 43°43' -17' 65° 44°08' -16' 66° 44°31' -15' 67° 44°54' -13' 68° 45°16' -12' 69° 19

20 42°32' -20' 62° 42°59' -19' 63° 43°26' -18' 64° 43°52' -17' 65° 44°17' -16' 66° 44°41' -14' 67° 45°04' -13' 68° 20

21 42°11' -21' 61° 42°40' -20' 62° 43°08' -19' 63° 43°35' -18' 64° 44°01' -16' 64° 44°27' -15' 65° 44°51' -14' 66° 21

22 41°50' -22' 60° 42°20' -21' 61° 42°49' -20' 61° 43°17' -19' 62° 43°45' -17' 63° 44°12' -16' 64° 44°37' -15' 65° 22

23 41°28' -23' 59° 41°59' -22' 59° 42°29' -21' 60° 42°59' -20' 61° 43°27' -18' 62° 43°55' -17' 63° 44°23' -16' 63° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 45°00' -01' 90° 44°59' +01' 91° 44°58' +02' 92° 44°55' +04' 93° 44°52' +05' 94° 44°47' +07' 95° 44°41' +08' 96° 0

1 44°59' -02' 89° 45°00' 00' 90° 45°00' +01' 91° 44°59' +03' 92° 44°57' +04' 93° 44°54' +06' 94° 44°50' +07' 95° 1

2 44°58' -03' 87° 45°00' -01' 88° 45°02' +00' 89° 45°02' +02' 90° 45°01' +03' 91° 45°00' +05' 92° 44°57' +06' 93° 2

3 44°55' -04' 86° 44°59' -02' 87° 45°02' -01' 88° 45°04' +01' 89° 45°05' +02' 90° 45°04' +04' 91° 45°03' +05' 92° 3

4 44°52' -05' 84° 44°57' -03' 85° 45°01' -02' 86° 45°05' 00' 87° 45°07' +01' 88° 45°08' +03' 89° 45°08' +04' 90° 4

5 44°47' -06' 83° 44°54' -04' 84° 45°00' -03' 85° 45°04' -01' 86° 45°08' +00' 87° 45°11' +02' 88° 45°12' +03' 89° 5

6 44°41' -07' 82° 44°50' -05' 83° 44°57' -04' 84° 45°03' -02' 85° 45°08' -01' 86° 45°12' +01' 87° 45°16' +02' 88° 6

7 44°34' -08' 80° 44°44' -06' 81° 44°53' -05' 82° 45°01' -03' 83° 45°07' -02' 84° 45°13' 00' 85° 45°18' +01' 86° 7

8 44°27' -09' 79° 44°38' -07' 80° 44°48' -06' 81° 44°57' -04' 82° 45°05' -03' 83° 45°13' -02' 84° 45°19' 00' 85° 8

9 44°18' -10' 77° 44°31' -08' 78° 44°42' -07' 79° 44°53' -05' 80° 45°02' -04' 81° 45°11' -03' 82° 45°19' -01' 83° 9

10 44°08' -11' 76° 44°22' -09' 77° 44°35' -08' 78° 44°47' -07' 79° 44°58' -05' 80° 45°08' -04' 81° 45°18' -02' 82° 10

11 43°57' -12' 75° 44°13' -10' 76° 44°27' -09' 77° 44°41' -08' 77° 44°53' -06' 78° 45°05' -05' 79° 45°15' -03' 80° 11

12 43°46' -13' 73° 44°02' -11' 74° 44°18' -10' 75° 44°33' -09' 76° 44°47' -07' 77° 45°00' -06' 78° 45°12' -04' 79° 12

13 43°33' -14' 72° 43°51' -12' 73° 44°08' -11' 74° 44°25' -10' 75° 44°40' -08' 76° 44°54' -07' 77° 45°08' -05' 78° 13

14 43°19' -15' 71° 43°39' -13' 71° 43°57' -12' 72° 44°15' -11' 73° 44°32' -09' 74° 44°48' -08' 75° 45°03' -06' 76° 14

15 43°05' -15' 69° 43°26' -14' 70° 43°46' -13' 71° 44°05' -12' 72° 44°23' -10' 73° 44°40' -09' 74° 44°56' -07' 75° 15

16 42°49' -16' 68° 43°11' -15' 69° 43°33' -14' 70° 43°53' -12' 71° 44°13' -11' 71° 44°31' -10' 72° 44°49' -08' 73° 16

17 42°33' -17' 67° 42°56' -16' 67° 43°19' -15' 68° 43°41' -13' 69° 44°01' -12' 70° 44°21' -11' 71° 44°40' -09' 72° 17

18 42°16' -18' 65° 42°40' -17' 66° 43°04' -16' 67° 43°27' -14' 68° 43°49' -13' 69° 44°11' -12' 70° 44°31' -10' 71° 18

19 41°57' -19' 64° 42°23' -18' 65° 42°48' -17' 66° 43°13' -15' 67° 43°36' -14' 67° 43°59' -13' 68° 44°21' -11' 69° 19

20 41°38' -20' 63° 42°06' -19' 64° 42°32' -17' 64° 42°57' -16' 65° 43°22' -15' 66° 43°46' -14' 67° 44°09' -12' 68° 20

21 41°19' -21' 62° 41°47' -19' 62° 42°14' -18' 63° 42°41' -17' 64° 43°07' -16' 65° 43°32' -15' 66° 43°57' -13' 66° 21

22 40°58' -21' 60° 41°27' -20' 61° 41°56' -19' 62° 42°24' -18' 63° 42°51' -17' 63° 43°18' -16' 64° 43°43' -14' 65° 22

23 40°37' -22' 59° 41°07' -21' 60° 41°37' -20' 61° 42°06' -19' 61° 42°35' -18' 62° 43°02' -16' 63° 43°29' -15' 64° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

44° 316° LHA Latitude SAME as Declination 44° 316° LHA

45° 315° LHA Latitude SAME as Declination 45° 315° LHA

45° 315° LHA Latitude SAME as Declination 45° 315° LHA

44° 316° LHA Latitude SAME as Declination 44° 316° LHA

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Page 26: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 44°00' -01' 90° 43°59' +01' 91° 43°58' +02' 92° 43°55' +04' 93° 43°52' +05' 94° 43°47' +07' 95° 43°42' +08' 96° 0

1 43°59' -02' 89° 44°00' 00' 90° 44°00' +01' 91° 43°59' +03' 92° 43°57' +04' 92° 43°54' +06' 93° 43°50' +07' 94° 1

2 43°58' -03' 87° 44°00' -01' 88° 44°02' +00' 89° 44°02' +02' 90° 44°02' +03' 91° 44°00' +05' 92° 43°57' +06' 93° 2

3 43°55' -04' 86° 43°59' -02' 87° 44°02' -01' 88° 44°04' +01' 89° 44°05' +02' 90° 44°05' +04' 91° 44°03' +05' 92° 3

4 43°52' -05' 84° 43°57' -03' 85° 44°02' -02' 86° 44°05' 00' 87° 44°07' +01' 88° 44°08' +03' 89° 44°09' +04' 90° 4

5 43°47' -06' 83° 43°54' -04' 84° 44°00' -03' 85° 44°05' -01' 86° 44°08' +00' 87° 44°11' +02' 88° 44°13' +03' 89° 5

6 43°42' -07' 82° 43°50' -05' 83° 43°57' -04' 84° 44°03' -02' 85° 44°09' -01' 86° 44°13' +01' 86° 44°16' +02' 87° 6

7 43°35' -08' 80° 43°45' -06' 81° 43°54' -05' 82° 44°01' -03' 83° 44°08' -02' 84° 44°14' 00' 85° 44°18' +01' 86° 7

8 43°28' -08' 79° 43°39' -07' 80° 43°49' -06' 81° 43°58' -04' 82° 44°06' -03' 83° 44°13' -01' 84° 44°19' +00' 85° 8

9 43°19' -09' 78° 43°32' -08' 79° 43°43' -07' 79° 43°54' -05' 80° 44°03' -04' 81° 44°12' -02' 82° 44°19' -01' 83° 9

10 43°10' -10' 76° 43°24' -09' 77° 43°37' -08' 78° 43°49' -06' 79° 43°59' -05' 80° 44°09' -03' 81° 44°18' -02' 82° 10

11 43°00' -11' 75° 43°15' -10' 76° 43°29' -09' 77° 43°42' -07' 78° 43°55' -06' 79° 44°06' -04' 80° 44°17' -03' 80° 11

12 42°48' -12' 74° 43°05' -11' 74° 43°20' -10' 75° 43°35' -08' 76° 43°49' -07' 77° 44°02' -05' 78° 44°14' -04' 79° 12

13 42°36' -13' 72° 42°54' -12' 73° 43°11' -11' 74° 43°27' -09' 75° 43°42' -08' 76° 43°56' -06' 77° 44°10' -05' 78° 13

14 42°23' -14' 71° 42°42' -13' 72° 43°00' -11' 73° 43°18' -10' 74° 43°34' -09' 74° 43°50' -07' 75° 44°05' -06' 76° 14

15 42°09' -15' 70° 42°29' -14' 70° 42°49' -12' 71° 43°08' -11' 72° 43°26' -10' 73° 43°43' -08' 74° 43°59' -07' 75° 15

16 41°54' -16' 68° 42°15' -15' 69° 42°36' -13' 70° 42°57' -12' 71° 43°16' -11' 72° 43°34' -09' 73° 43°52' -08' 74° 16

17 41°38' -17' 67° 42°01' -15' 68° 42°23' -14' 69° 42°45' -13' 69° 43°05' -12' 70° 43°25' -10' 71° 43°44' -09' 72° 17

18 41°21' -18' 66° 41°45' -16' 67° 42°09' -15' 67° 42°32' -14' 68° 42°53' -13' 69° 43°15' -11' 70° 43°35' -10' 71° 18

19 41°03' -18' 64° 41°29' -17' 65° 41°54' -16' 66° 42°18' -15' 67° 42°41' -13' 68° 43°03' -12' 69° 43°25' -11' 69° 19

20 40°45' -19' 63° 41°12' -18' 64° 41°38' -17' 65° 42°03' -16' 66° 42°27' -14' 66° 42°51' -13' 67° 43°14' -12' 68° 20

21 40°26' -20' 62° 40°54' -19' 63° 41°21' -18' 63° 41°47' -17' 64° 42°13' -15' 65° 42°38' -14' 66° 43°02' -13' 67° 21

22 40°06' -21' 61° 40°35' -20' 61° 41°03' -19' 62° 41°31' -17' 63° 41°58' -16' 64° 42°24' -15' 65° 42°49' -14' 65° 22

23 39°45' -22' 59° 40°15' -20' 60° 40°45' -19' 61° 41°13' -18' 62° 41°42' -17' 62° 42°09' -16' 63° 42°36' -15' 64° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 43°00' 00' 90° 43°00' +01' 91° 42°58' +02' 92° 42°56' +04' 93° 42°52' +05' 94° 42°48' +07' 95° 42°42' +08' 96° 0

1 43°00' -01' 89° 43°00' 00' 90° 43°00' +01' 90° 42°59' +03' 91° 42°57' +04' 92° 42°54' +06' 93° 42°51' +07' 94° 1

2 42°58' -02' 87° 43°00' -01' 88° 43°02' +00' 89° 43°02' +02' 90° 43°02' +03' 91° 43°00' +05' 92° 42°58' +06' 93° 2

3 42°56' -03' 86° 42°59' -02' 87° 43°02' -01' 88° 43°04' +01' 89° 43°05' +02' 90° 43°05' +04' 91° 43°04' +05' 92° 3

4 42°52' -04' 85° 42°57' -03' 85° 43°02' -02' 86° 43°05' 00' 87° 43°07' +01' 88° 43°09' +03' 89° 43°09' +04' 90° 4

5 42°48' -05' 83° 42°54' -04' 84° 43°00' -03' 85° 43°05' -01' 86° 43°09' +00' 87° 43°11' +02' 88° 43°13' +03' 89° 5

6 42°42' -06' 82° 42°51' -05' 83° 42°58' -03' 84° 43°04' -02' 85° 43°09' -01' 86° 43°13' +01' 86° 43°16' +02' 87° 6

7 42°36' -07' 80° 42°46' -06' 81° 42°54' -04' 82° 43°02' -03' 83° 43°08' -02' 84° 43°14' 00' 85° 43°19' +01' 86° 7

8 42°29' -08' 79° 42°40' -07' 80° 42°50' -05' 81° 42°59' -04' 82° 43°07' -03' 83° 43°14' -01' 84° 43°20' +00' 85° 8

9 42°21' -09' 78° 42°33' -08' 79° 42°44' -06' 80° 42°55' -05' 80° 43°04' -04' 81° 43°13' -02' 82° 43°20' -01' 83° 9

10 42°12' -10' 76° 42°25' -09' 77° 42°38' -07' 78° 42°50' -06' 79° 43°01' -05' 80° 43°10' -03' 81° 43°19' -02' 82° 10

11 42°02' -11' 75° 42°17' -10' 76° 42°31' -08' 77° 42°44' -07' 78° 42°56' -06' 79° 43°07' -04' 80° 43°18' -03' 81° 11

12 41°51' -12' 74° 42°07' -11' 75° 42°22' -09' 76° 42°37' -08' 76° 42°50' -06' 77° 43°03' -05' 78° 43°15' -04' 79° 12

13 41°39' -13' 72° 41°56' -11' 73° 42°13' -10' 74° 42°29' -09' 75° 42°44' -07' 76° 42°58' -06' 77° 43°11' -05' 78° 13

14 41°26' -14' 71° 41°45' -12' 72° 42°03' -11' 73° 42°20' -10' 74° 42°37' -08' 75° 42°52' -07' 76° 43°07' -06' 76° 14

15 41°12' -15' 70° 41°33' -13' 71° 41°52' -12' 72° 42°11' -11' 72° 42°28' -09' 73° 42°45' -08' 74° 43°01' -07' 75° 15

16 40°58' -15' 69° 41°19' -14' 69° 41°40' -13' 70° 42°00' -12' 71° 42°19' -10' 72° 42°37' -09' 73° 42°54' -08' 74° 16

17 40°42' -16' 67° 41°05' -15' 68° 41°27' -14' 69° 41°48' -12' 70° 42°09' -11' 71° 42°28' -10' 71° 42°47' -09' 72° 17

18 40°26' -17' 66° 40°50' -16' 67° 41°13' -15' 68° 41°36' -13' 68° 41°58' -12' 69° 42°18' -11' 70° 42°38' -09' 71° 18

19 40°09' -18' 65° 40°34' -17' 66° 40°59' -15' 66° 41°23' -14' 67° 41°45' -13' 68° 42°08' -12' 69° 42°29' -10' 70° 19

20 39°51' -19' 64° 40°18' -17' 64° 40°43' -16' 65° 41°08' -15' 66° 41°33' -14' 67° 41°56' -13' 67° 42°18' -11' 68° 20

21 39°33' -19' 62° 40°00' -18' 63° 40°27' -17' 64° 40°53' -16' 65° 41°19' -15' 65° 41°43' -13' 66° 42°07' -12' 67° 21

22 39°13' -20' 61° 39°42' -19' 62° 40°10' -18' 63° 40°37' -17' 63° 41°04' -16' 64° 41°30' -14' 65° 41°55' -13' 66° 22

23 38°53' -21' 60° 39°23' -20' 61° 39°52' -19' 61° 40°21' -18' 62° 40°48' -16' 63° 41°15' -15' 64° 41°42' -14' 64° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

47° 313° LHA Latitude SAME as Declination 47° 313° LHA

46° 314° LHA Latitude SAME as Declination 46° 314° LHA

46° 314° LHA Latitude SAME as Declination 46° 314° LHA

47° 313° LHA Latitude SAME as Declination 47° 313° LHA

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Page 27: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 42°00' 00' 90° 42°00' +01' 91° 41°58' +02' 92° 41°56' +04' 93° 41°52' +05' 94° 41°48' +07' 94° 41°43' +08' 95° 0

1 42°00' -01' 89° 42°00' 00' 90° 42°00' +01' 90° 42°00' +03' 91° 41°58' +04' 92° 41°55' +06' 93° 41°51' +07' 94° 1

2 41°58' -02' 87° 42°00' -01' 88° 42°02' +00' 89° 42°02' +02' 90° 42°02' +03' 91° 42°00' +05' 92° 41°58' +06' 93° 2

3 41°56' -03' 86° 42°00' -02' 87° 42°02' 00' 88° 42°04' +01' 89° 42°05' +02' 90° 42°05' +04' 90° 42°04' +05' 91° 3

4 41°52' -04' 85° 41°58' -03' 86° 42°02' -01' 86° 42°05' 00' 87° 42°07' +01' 88° 42°09' +03' 89° 42°09' +04' 90° 4

5 41°48' -05' 83° 41°55' -04' 84° 42°00' -02' 85° 42°05' -01' 86° 42°09' +00' 87° 42°12' +02' 88° 42°13' +03' 89° 5

6 41°43' -06' 82° 41°51' -05' 83° 41°58' -03' 84° 42°04' -02' 85° 42°09' -01' 86° 42°13' +01' 86° 42°17' +02' 87° 6

7 41°37' -07' 81° 41°46' -06' 81° 41°55' -04' 82° 42°02' -03' 83° 42°09' -01' 84° 42°14' 00' 85° 42°19' +01' 86° 7

8 41°30' -08' 79° 41°41' -07' 80° 41°50' -05' 81° 41°59' -04' 82° 42°07' -02' 83° 42°14' -01' 84° 42°20' +00' 85° 8

9 41°22' -09' 78° 41°34' -07' 79° 41°45' -06' 80° 41°56' -05' 81° 42°05' -03' 81° 42°13' -02' 82° 42°21' -01' 83° 9

10 41°13' -10' 77° 41°27' -08' 78° 41°39' -07' 78° 41°51' -06' 79° 42°02' -04' 80° 42°11' -03' 81° 42°20' -02' 82° 10

11 41°04' -11' 75° 41°18' -09' 76° 41°32' -08' 77° 41°45' -07' 78° 41°57' -05' 79° 42°09' -04' 80° 42°19' -02' 81° 11

12 40°53' -11' 74° 41°09' -10' 75° 41°24' -09' 76° 41°39' -08' 77° 41°52' -06' 77° 42°05' -05' 78° 42°16' -03' 79° 12

13 40°41' -12' 73° 40°59' -11' 74° 41°15' -10' 74° 41°31' -08' 75° 41°46' -07' 76° 42°00' -06' 77° 42°13' -04' 78° 13

14 40°29' -13' 71° 40°48' -12' 72° 41°06' -11' 73° 41°23' -09' 74° 41°39' -08' 75° 41°54' -07' 76° 42°09' -05' 77° 14

15 40°16' -14' 70° 40°36' -13' 71° 40°55' -12' 72° 41°13' -10' 73° 41°31' -09' 73° 41°48' -08' 74° 42°03' -06' 75° 15

16 40°02' -15' 69° 40°23' -14' 70° 40°44' -12' 70° 41°03' -11' 71° 41°22' -10' 72° 41°40' -08' 73° 41°57' -07' 74° 16

17 39°47' -16' 68° 40°09' -14' 68° 40°31' -13' 69° 40°52' -12' 70° 41°12' -11' 71° 41°31' -09' 72° 41°50' -08' 73° 17

18 39°31' -16' 66° 39°55' -15' 67° 40°18' -14' 68° 40°40' -13' 69° 41°01' -12' 70° 41°22' -10' 70° 41°42' -09' 71° 18

19 39°15' -17' 65° 39°40' -16' 66° 40°04' -15' 67° 40°27' -14' 67° 40°50' -12' 68° 41°12' -11' 69° 41°33' -10' 70° 19

20 38°58' -18' 64° 39°24' -17' 65° 39°49' -16' 65° 40°14' -15' 66° 40°37' -13' 67° 41°01' -12' 68° 41°23' -11' 69° 20

21 38°40' -19' 63° 39°07' -18' 63° 39°33' -17' 64° 39°59' -15' 65° 40°24' -14' 66° 40°49' -13' 66° 41°12' -12' 67° 21

22 38°21' -20' 61° 38°49' -18' 62° 39°17' -17' 63° 39°44' -16' 64° 40°10' -15' 64° 40°36' -14' 65° 41°00' -13' 66° 22

23 38°01' -20' 60° 38°31' -19' 61° 38°59' -18' 62° 39°28' -17' 62° 39°55' -16' 63° 40°22' -15' 64° 40°48' -13' 65° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 41°00' 00' 90° 41°00' +01' 91° 40°58' +02' 92° 40°56' +04' 93° 40°53' +05' 93° 40°49' +06' 94° 40°44' +08' 95° 0

1 41°00' -01' 89° 41°00' +00' 90° 41°00' +01' 90° 41°00' +03' 91° 40°58' +04' 92° 40°55' +06' 93° 40°51' +07' 94° 1

2 40°58' -02' 87° 41°00' -01' 88° 41°02' +00' 89° 41°02' +02' 90° 41°02' +03' 91° 41°01' +05' 92° 40°58' +06' 93° 2

3 40°56' -03' 86° 41°00' -02' 87° 41°02' 00' 88° 41°04' +01' 89° 41°05' +02' 90° 41°05' +04' 90° 41°04' +05' 91° 3

4 40°53' -04' 85° 40°58' -03' 86° 41°02' -01' 86° 41°05' +00' 87° 41°08' +01' 88° 41°09' +03' 89° 41°10' +04' 90° 4

5 40°49' -05' 83° 40°55' -04' 84° 41°01' -02' 85° 41°05' -01' 86° 41°09' +01' 87° 41°12' +02' 88° 41°14' +03' 89° 5

6 40°44' -06' 82° 40°51' -05' 83° 40°58' -03' 84° 41°04' -02' 85° 41°10' 00' 86° 41°14' +01' 86° 41°17' +02' 87° 6

7 40°38' -07' 81° 40°47' -05' 82° 40°55' -04' 82° 41°03' -03' 83° 41°09' -01' 84° 41°15' +00' 85° 41°20' +01' 86° 7

8 40°31' -08' 79° 40°42' -06' 80° 40°51' -05' 81° 41°00' -04' 82° 41°08' -02' 83° 41°15' -01' 84° 41°21' +01' 85° 8

9 40°23' -09' 78° 40°35' -07' 79° 40°46' -06' 80° 40°56' -04' 81° 41°06' -03' 82° 41°14' -02' 82° 41°22' 00' 83° 9

10 40°15' -09' 77° 40°28' -08' 78° 40°40' -07' 79° 40°52' -05' 79° 41°03' -04' 80° 41°12' -03' 81° 41°21' -01' 82° 10

11 40°05' -10' 76° 40°20' -09' 76° 40°34' -08' 77° 40°47' -06' 78° 40°59' -05' 79° 41°10' -04' 80° 41°20' -02' 81° 11

12 39°55' -11' 74° 40°11' -10' 75° 40°26' -08' 76° 40°40' -07' 77° 40°54' -06' 78° 41°06' -04' 78° 41°18' -03' 79° 12

13 39°44' -12' 73° 40°01' -11' 74° 40°18' -09' 75° 40°33' -08' 75° 40°48' -07' 76° 41°02' -05' 77° 41°15' -04' 78° 13

14 39°32' -13' 72° 39°51' -11' 73° 40°08' -10' 73° 40°25' -09' 74° 40°41' -08' 75° 40°56' -06' 76° 41°11' -05' 77° 14

15 39°19' -14' 70° 39°39' -12' 71° 39°58' -11' 72° 40°16' -10' 73° 40°33' -08' 74° 40°50' -07' 74° 41°06' -06' 75° 15

16 39°06' -14' 69° 39°27' -13' 70° 39°47' -12' 71° 40°06' -11' 72° 40°25' -09' 72° 40°43' -08' 73° 41°00' -07' 74° 16

17 38°51' -15' 68° 39°14' -14' 69° 39°35' -13' 69° 39°56' -11' 70° 40°16' -10' 71° 40°35' -09' 72° 40°53' -08' 73° 17

18 38°36' -16' 67° 39°00' -15' 67° 39°22' -14' 68° 39°44' -12' 69° 40°05' -11' 70° 40°26' -10' 71° 40°45' -09' 71° 18

19 38°20' -17' 65° 38°45' -16' 66° 39°09' -14' 67° 39°32' -13' 68° 39°54' -12' 68° 40°16' -11' 69° 40°37' -09' 70° 19

20 38°04' -17' 64° 38°29' -16' 65° 38°54' -15' 66° 39°19' -14' 66° 39°42' -13' 67° 40°05' -12' 68° 40°27' -10' 69° 20

21 37°46' -18' 63° 38°13' -17' 64° 38°39' -16' 64° 39°05' -15' 65° 39°30' -14' 66° 39°54' -12' 67° 40°17' -11' 67° 21

22 37°28' -19' 62° 37°56' -18' 63° 38°23' -17' 63° 38°50' -16' 64° 39°16' -14' 65° 39°41' -13' 65° 40°06' -12' 66° 22

23 37°09' -20' 61° 37°38' -19' 61° 38°07' -17' 62° 38°34' -16' 63° 39°02' -15' 63° 39°28' -14' 64° 39°54' -13' 65° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

48° 312° LHA Latitude SAME as Declination 48° 312° LHA

48° 312° LHA Latitude SAME as Declination 48° 312° LHA

49° 311° LHA Latitude SAME as Declination 49° 311° LHA

49° 311° LHA Latitude SAME as Declination 49° 311° LHA

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Page 28: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 40°00' 00' 90° 40°00' +01' 91° 39°58' +02' 92° 39°56' +04' 93° 39°53' +05' 93° 39°49' +06' 94° 39°44' +08' 95° 0

1 40°00' -01' 89° 40°00' +00' 90° 40°01' +01' 90° 40°00' +03' 91° 39°58' +04' 92° 39°55' +06' 93° 39°52' +07' 94° 1

2 39°58' -02' 87° 40°01' -01' 88° 40°02' +01' 89° 40°02' +02' 90° 40°02' +03' 91° 40°01' +05' 92° 39°59' +06' 92° 2

3 39°56' -03' 86° 40°00' -02' 87° 40°02' 00' 88° 40°04' +01' 89° 40°05' +02' 89° 40°06' +04' 90° 40°05' +05' 91° 3

4 39°53' -04' 85° 39°58' -03' 86° 40°02' -01' 86° 40°05' +00' 87° 40°08' +02' 88° 40°09' +03' 89° 40°10' +04' 90° 4

5 39°49' -05' 83° 39°55' -03' 84° 40°01' -02' 85° 40°06' -01' 86° 40°09' +01' 87° 40°12' +02' 88° 40°14' +03' 89° 5

6 39°44' -06' 82° 39°52' -04' 83° 39°59' -03' 84° 40°05' -02' 85° 40°10' 00' 86° 40°14' +01' 86° 40°18' +02' 87° 6

7 39°39' -07' 81° 39°48' -05' 82° 39°56' -04' 83° 40°03' -02' 83° 40°10' -01' 84° 40°15' +00' 85° 40°20' +02' 86° 7

8 39°32' -07' 80° 39°42' -06' 80° 39°52' -05' 81° 40°01' -03' 82° 40°09' -02' 83° 40°16' -01' 84° 40°22' +01' 85° 8

9 39°25' -08' 78° 39°36' -07' 79° 39°47' -06' 80° 39°57' -04' 81° 40°07' -03' 82° 40°15' -02' 82° 40°22' 00' 83° 9

10 39°16' -09' 77° 39°29' -08' 78° 39°42' -06' 79° 39°53' -05' 79° 40°04' -04' 80° 40°13' -02' 81° 40°22' -01' 82° 10

11 39°07' -10' 76° 39°22' -09' 77° 39°35' -07' 77° 39°48' -06' 78° 40°00' -05' 79° 40°11' -03' 80° 40°21' -02' 81° 11

12 38°57' -11' 74° 39°13' -09' 75° 39°28' -08' 76° 39°42' -07' 77° 39°55' -06' 78° 40°08' -04' 79° 40°19' -03' 79° 12

13 38°47' -12' 73° 39°04' -10' 74° 39°20' -09' 75° 39°35' -08' 76° 39°50' -06' 76° 40°03' -05' 77° 40°16' -04' 78° 13

14 38°35' -12' 72° 38°53' -11' 73° 39°11' -10' 74° 39°27' -09' 74° 39°43' -07' 75° 39°58' -06' 76° 40°12' -05' 77° 14

15 38°23' -13' 71° 38°42' -12' 71° 39°01' -11' 72° 39°19' -09' 73° 39°36' -08' 74° 39°52' -07' 75° 40°08' -05' 75° 15

16 38°10' -14' 69° 38°30' -13' 70° 38°50' -11' 71° 39°10' -10' 72° 39°28' -09' 73° 39°46' -08' 73° 40°02' -06' 74° 16

17 37°56' -15' 68° 38°18' -13' 69° 38°39' -12' 70° 38°59' -11' 70° 39°19' -10' 71° 39°38' -09' 72° 39°56' -07' 73° 17

18 37°41' -15' 67° 38°04' -14' 68° 38°27' -13' 68° 38°48' -12' 69° 39°09' -11' 70° 39°29' -09' 71° 39°49' -08' 72° 18

19 37°26' -16' 66° 37°50' -15' 67° 38°14' -14' 67° 38°36' -13' 68° 38°59' -11' 69° 39°20' -10' 69° 39°41' -09' 70° 19

20 37°10' -17' 65° 37°35' -16' 65° 38°00' -15' 66° 38°24' -13' 67° 38°47' -12' 67° 39°10' -11' 68° 39°32' -10' 69° 20

21 36°53' -18' 63° 37°19' -17' 64° 37°45' -15' 65° 38°10' -14' 65° 38°35' -13' 66° 38°59' -12' 67° 39°22' -11' 68° 21

22 36°35' -18' 62° 37°03' -17' 63° 37°30' -16' 64° 37°56' -15' 64° 38°22' -14' 65° 38°47' -13' 66° 39°11' -11' 66° 22

23 36°17' -19' 61° 36°45' -18' 62° 37°14' -17' 62° 37°41' -16' 63° 38°08' -15' 64° 38°34' -13' 64° 39°00' -12' 65° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 39°00' 00' 90° 39°00' +01' 91° 38°58' +02' 92° 38°56' +04' 92° 38°53' +05' 93° 38°49' +06' 94° 38°45' +08' 95° 0

1 39°00' -01' 89° 39°00' +00' 90° 39°01' +01' 90° 39°00' +03' 91° 38°58' +04' 92° 38°56' +05' 93° 38°52' +07' 94° 1

2 38°58' -02' 87° 39°01' -01' 88° 39°02' +01' 89° 39°03' +02' 90° 39°02' +03' 91° 39°01' +05' 91° 38°59' +06' 92° 2

3 38°56' -03' 86° 39°00' -02' 87° 39°03' 00' 88° 39°04' +01' 89° 39°06' +02' 89° 39°06' +04' 90° 39°05' +05' 91° 3

4 38°53' -04' 85° 38°58' -02' 86° 39°02' -01' 86° 39°06' +00' 87° 39°08' +02' 88° 39°10' +03' 89° 39°10' +04' 90° 4

5 38°49' -05' 84° 38°56' -03' 84° 39°01' -02' 85° 39°06' -01' 86° 39°10' +01' 87° 39°12' +02' 88° 39°15' +03' 88° 5

6 38°45' -05' 82° 38°52' -04' 83° 38°59' -03' 84° 39°05' -01' 85° 39°10' 00' 86° 39°15' +01' 86° 39°18' +03' 87° 6

7 38°39' -06' 81° 38°48' -05' 82° 38°56' -04' 83° 39°04' -02' 83° 39°10' -01' 84° 39°16' +00' 85° 39°21' +02' 86° 7

8 38°33' -07' 80° 38°43' -06' 81° 38°53' -05' 81° 39°01' -03' 82° 39°09' -02' 83° 39°16' -01' 84° 39°22' +01' 85° 8

9 38°26' -08' 78° 38°37' -07' 79° 38°48' -05' 80° 38°58' -04' 81° 39°07' -03' 82° 39°16' -01' 82° 39°23' 00' 83° 9

10 38°18' -09' 77° 38°31' -07' 78° 38°43' -06' 79° 38°54' -05' 80° 39°05' -04' 80° 39°14' -02' 81° 39°23' -01' 82° 10

11 38°09' -10' 76° 38°23' -08' 77° 38°37' -07' 77° 38°49' -06' 78° 39°01' -04' 79° 39°12' -03' 80° 39°22' -02' 81° 11

12 38°00' -10' 75° 38°15' -09' 75° 38°30' -08' 76° 38°44' -07' 77° 38°57' -05' 78° 39°09' -04' 79° 39°20' -03' 79° 12

13 37°49' -11' 73° 38°06' -10' 74° 38°22' -09' 75° 38°37' -07' 76° 38°51' -06' 77° 39°05' -05' 77° 39°18' -03' 78° 13

14 37°38' -12' 72° 37°56' -11' 73° 38°13' -09' 74° 38°30' -08' 74° 38°45' -07' 75° 39°00' -06' 76° 39°14' -04' 77° 14

15 37°26' -13' 71° 37°45' -11' 72° 38°04' -10' 72° 38°22' -09' 73° 38°39' -08' 74° 38°55' -06' 75° 39°10' -05' 76° 15

16 37°13' -13' 70° 37°34' -12' 70° 37°54' -11' 71° 38°13' -10' 72° 38°31' -09' 73° 38°48' -07' 73° 39°05' -06' 74° 16

17 37°00' -14' 69° 37°22' -13' 69° 37°43' -12' 70° 38°03' -11' 71° 38°22' -09' 71° 38°41' -08' 72° 38°59' -07' 73° 17

18 36°46' -15' 67° 37°09' -14' 68° 37°31' -13' 69° 37°52' -11' 69° 38°13' -10' 70° 38°33' -09' 71° 38°52' -08' 72° 18

19 36°31' -16' 66° 36°55' -15' 67° 37°18' -13' 67° 37°41' -12' 68° 38°03' -11' 69° 38°24' -10' 70° 38°44' -08' 70° 19

20 36°15' -16' 65° 36°40' -15' 66° 37°05' -14' 66° 37°29' -13' 67° 37°52' -12' 68° 38°14' -11' 68° 38°36' -09' 69° 20

21 35°59' -17' 64° 36°25' -16' 64° 36°51' -15' 65° 37°16' -14' 66° 37°40' -13' 66° 38°04' -11' 67° 38°27' -10' 68° 21

22 35°42' -18' 63° 36°09' -17' 63° 36°36' -16' 64° 37°02' -14' 65° 37°28' -13' 65° 37°52' -12' 66° 38°17' -11' 67° 22

23 35°24' -18' 61° 35°53' -17' 62° 36°20' -16' 63° 36°48' -15' 63° 37°14' -14' 64° 37°40' -13' 65° 38°06' -12' 65° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

50° 310° LHA Latitude SAME as Declination 50° 310° LHA

51° 309° LHA Latitude SAME as Declination 51° 309° LHA

51° 309° LHA Latitude SAME as Declination 51° 309° LHA

50° 310° LHA Latitude SAME as Declination 50° 310° LHA

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Page 29: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 38°00' 00' 90° 38°00' +01' 91° 37°58' +02' 92° 37°56' +04' 92° 37°53' +05' 93° 37°50' +06' 94° 37°45' +08' 95° 0

1 38°00' -01' 89° 38°01' +00' 90° 38°01' +01' 90° 38°00' +03' 91° 37°58' +04' 92° 37°56' +05' 93° 37°53' +07' 93° 1

2 37°58' -02' 87° 38°01' -01' 88° 38°02' +01' 89° 38°03' +02' 90° 38°02' +03' 91° 38°01' +05' 91° 38°00' +06' 92° 2

3 37°56' -03' 86° 38°00' -02' 87° 38°03' 00' 88° 38°05' +01' 89° 38°06' +02' 89° 38°06' +04' 90° 38°05' +05' 91° 3

4 37°53' -04' 85° 37°58' -02' 86° 38°02' -01' 86° 38°06' +00' 87° 38°08' +02' 88° 38°10' +03' 89° 38°11' +04' 90° 4

5 37°50' -04' 84° 37°56' -03' 84° 38°01' -02' 85° 38°06' -01' 86° 38°10' +01' 87° 38°13' +02' 88° 38°15' +03' 88° 5

6 37°45' -05' 82° 37°53' -04' 83° 38°00' -03' 84° 38°05' -01' 85° 38°11' 00' 86° 38°15' +01' 86° 38°18' +03' 87° 6

7 37°40' -06' 81° 37°49' -05' 82° 37°57' -03' 83° 38°04' -02' 83° 38°11' -01' 84° 38°16' +00' 85° 38°21' +02' 86° 7

8 37°34' -07' 80° 37°44' -06' 81° 37°53' -04' 81° 38°02' -03' 82° 38°10' -02' 83° 38°17' 00' 84° 38°23' +01' 85° 8

9 37°27' -08' 79° 37°38' -06' 79° 37°49' -05' 80° 37°59' -04' 81° 38°08' -02' 82° 38°16' -01' 82° 38°24' +00' 83° 9

10 37°19' -08' 77° 37°32' -07' 78° 37°44' -06' 79° 37°55' -05' 80° 38°06' -03' 80° 38°15' -02' 81° 38°24' -01' 82° 10

11 37°11' -09' 76° 37°25' -08' 77° 37°38' -07' 78° 37°51' -05' 78° 38°02' -04' 79° 38°13' -03' 80° 38°23' -02' 81° 11

12 37°02' -10' 75° 37°17' -09' 76° 37°31' -07' 76° 37°45' -06' 77° 37°58' -05' 78° 38°10' -04' 79° 38°22' -02' 79° 12

13 36°52' -11' 74° 37°08' -10' 74° 37°24' -08' 75° 37°39' -07' 76° 37°53' -06' 77° 38°07' -04' 77° 38°19' -03' 78° 13

14 36°41' -12' 72° 36°59' -10' 73° 37°16' -09' 74° 37°32' -08' 75° 37°48' -07' 75° 38°02' -05' 76° 38°16' -04' 77° 14

15 36°29' -12' 71° 36°48' -11' 72° 37°07' -10' 73° 37°24' -09' 73° 37°41' -07' 74° 37°57' -06' 75° 38°12' -05' 76° 15

16 36°17' -13' 70° 36°37' -12' 71° 36°57' -11' 71° 37°16' -09' 72° 37°34' -08' 73° 37°51' -07' 74° 38°08' -06' 74° 16

17 36°04' -14' 69° 36°26' -13' 69° 36°46' -11' 70° 37°06' -10' 71° 37°25' -09' 72° 37°44' -08' 72° 38°02' -06' 73° 17

18 35°50' -14' 68° 36°13' -13' 68° 36°35' -12' 69° 36°56' -11' 70° 37°17' -10' 70° 37°36' -08' 71° 37°55' -07' 72° 18

19 35°36' -15' 66° 36°00' -14' 67° 36°23' -13' 68° 36°45' -12' 68° 37°07' -10' 69° 37°28' -09' 70° 37°48' -08' 71° 19

20 35°21' -16' 65° 35°46' -15' 66° 36°10' -14' 67° 36°33' -12' 67° 36°56' -11' 68° 37°19' -10' 69° 37°40' -09' 69° 20

21 35°05' -17' 64° 35°31' -15' 65° 35°56' -14' 65° 36°21' -13' 66° 36°45' -12' 67° 37°09' -11' 67° 37°31' -10' 68° 21

22 34°48' -17' 63° 35°16' -16' 63° 35°42' -15' 64° 36°08' -14' 65° 36°33' -13' 65° 36°58' -12' 66° 37°22' -10' 67° 22

23 34°31' -18' 62° 34°59' -17' 62° 35°27' -16' 63° 35°54' -15' 64° 36°20' -13' 64° 36°46' -12' 65° 37°11' -11' 66° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 37°00' 00' 90° 37°00' +01' 91° 36°58' +02' 92° 36°56' +04' 92° 36°54' +05' 93° 36°50' +06' 94° 36°46' +07' 95° 0

1 37°00' -01' 89° 37°01' +00' 90° 37°01' +01' 90° 37°00' +03' 91° 36°59' +04' 92° 36°56' +05' 93° 36°53' +07' 93° 1

2 36°58' -02' 87° 37°01' -01' 88° 37°02' +01' 89° 37°03' +02' 90° 37°03' +03' 91° 37°02' +05' 91° 37°00' +06' 92° 2

3 36°56' -03' 86° 37°00' -01' 87° 37°03' 00' 88° 37°05' +01' 89° 37°06' +02' 89° 37°06' +04' 90° 37°06' +05' 91° 3

4 36°54' -04' 85° 36°59' -02' 86° 37°03' -01' 86° 37°06' +00' 87° 37°08' +02' 88° 37°10' +03' 89° 37°11' +04' 90° 4

5 36°50' -04' 84° 36°56' -03' 84° 37°02' -02' 85° 37°06' 00' 86° 37°10' +01' 87° 37°13' +02' 88° 37°15' +04' 88° 5

6 36°46' -05' 83° 36°53' -04' 83° 37°00' -03' 84° 37°06' -01' 85° 37°11' +00' 85° 37°15' +01' 86° 37°19' +03' 87° 6

7 36°41' -06' 81° 36°49' -05' 82° 36°57' -03' 83° 37°05' -02' 83° 37°11' -01' 84° 37°17' +01' 85° 37°21' +02' 86° 7

8 36°35' -07' 80° 36°45' -05' 81° 36°54' -04' 81° 37°03' -03' 82° 37°10' -01' 83° 37°17' 00' 84° 37°23' +01' 85° 8

9 36°28' -07' 79° 36°40' -06' 80° 36°50' -05' 80° 37°00' -04' 81° 37°09' -02' 82° 37°17' -01' 82° 37°25' +00' 83° 9

10 36°21' -08' 78° 36°33' -07' 78° 36°45' -06' 79° 36°56' -04' 80° 37°07' -03' 80° 37°16' -02' 81° 37°25' 00' 82° 10

11 36°13' -09' 76° 36°26' -08' 77° 36°40' -06' 78° 36°52' -05' 78° 37°04' -04' 79° 37°14' -03' 80° 37°24' -01' 81° 11

12 36°04' -10' 75° 36°19' -08' 76° 36°33' -07' 77° 36°47' -06' 77° 37°00' -05' 78° 37°12' -03' 79° 37°23' -02' 79° 12

13 35°54' -10' 74° 36°10' -09' 75° 36°26' -08' 75° 36°41' -07' 76° 36°55' -05' 77° 37°08' -04' 77° 37°21' -03' 78° 13

14 35°44' -11' 73° 36°01' -10' 73° 36°18' -09' 74° 36°34' -07' 75° 36°50' -06' 75° 37°04' -05' 76° 37°18' -04' 77° 14

15 35°33' -12' 71° 35°51' -11' 72° 36°09' -09' 73° 36°27' -08' 74° 36°43' -07' 74° 36°59' -06' 75° 37°14' -04' 76° 15

16 35°21' -13' 70° 35°41' -11' 71° 36°00' -10' 72° 36°19' -09' 72° 36°36' -08' 73° 36°54' -07' 74° 37°10' -05' 74° 16

17 35°08' -13' 69° 35°29' -12' 70° 35°50' -11' 70° 36°10' -10' 71° 36°29' -08' 72° 36°47' -07' 72° 37°05' -06' 73° 17

18 34°55' -14' 68° 35°17' -13' 69° 35°39' -12' 69° 36°00' -10' 70° 36°20' -09' 71° 36°40' -08' 71° 36°59' -07' 72° 18

19 34°41' -15' 67° 35°04' -14' 67° 35°27' -12' 68° 35°49' -11' 69° 36°11' -10' 69° 36°32' -09' 70° 36°52' -08' 71° 19

20 34°26' -15' 65° 34°51' -14' 66° 35°15' -13' 67° 35°38' -12' 67° 36°01' -11' 68° 36°23' -10' 69° 36°44' -08' 69° 20

21 34°11' -16' 64° 34°37' -15' 65° 35°02' -14' 66° 35°26' -13' 66° 35°50' -11' 67° 36°13' -10' 68° 36°36' -09' 68° 21

22 33°55' -17' 63° 34°22' -16' 64° 34°48' -14' 64° 35°14' -13' 65° 35°39' -12' 66° 36°03' -11' 66° 36°27' -10' 67° 22

23 33°38' -17' 62° 34°06' -16' 63° 34°34' -15' 63° 35°00' -14' 64° 35°27' -13' 64° 35°52' -12' 65° 36°17' -11' 66° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

53° 307° LHA Latitude SAME as Declination 53° 307° LHA

52° 308° LHA Latitude SAME as Declination 52° 308° LHA

52° 308° LHA Latitude SAME as Declination 52° 308° LHA

53° 307° LHA Latitude SAME as Declination 53° 307° LHA

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Page 30: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 36°00' 00' 90° 36°00' +01' 91° 35°58' +02' 91° 35°57' +04' 92° 35°54' +05' 93° 35°51' +06' 94° 35°46' +07' 94° 0

1 36°00' -01' 89° 36°01' +00' 89° 36°01' +01' 90° 36°00' +03' 91° 35°59' +04' 92° 35°57' +05' 92° 35°54' +07' 93° 1

2 35°58' -02' 88° 36°01' -01' 88° 36°02' +01' 89° 36°03' +02' 90° 36°03' +03' 90° 36°02' +05' 91° 36°00' +06' 92° 2

3 35°57' -03' 86° 36°00' -01' 87° 36°03' 00' 88° 36°05' +01' 88° 36°06' +03' 89° 36°06' +04' 90° 36°06' +05' 91° 3

4 35°54' -03' 85° 35°59' -02' 86° 36°03' -01' 87° 36°06' +00' 87° 36°09' +02' 88° 36°10' +03' 89° 36°11' +04' 89° 4

5 35°51' -04' 84° 35°57' -03' 85° 36°02' -02' 85° 36°06' 00' 86° 36°10' +01' 87° 36°13' +02' 87° 36°16' +04' 88° 5

6 35°46' -05' 83° 35°54' -04' 83° 36°00' -02' 84° 36°06' -01' 85° 36°11' +00' 85° 36°16' +02' 86° 36°19' +03' 87° 6

7 35°41' -06' 81° 35°50' -04' 82° 35°58' -03' 83° 36°05' -02' 84° 36°11' -01' 84° 36°17' +01' 85° 36°22' +02' 86° 7

8 35°36' -06' 80° 35°46' -05' 81° 35°55' -04' 82° 36°03' -03' 82° 36°11' -01' 83° 36°18' 00' 84° 36°24' +01' 84° 8

9 35°29' -07' 79° 35°41' -06' 80° 35°51' -05' 80° 36°01' -03' 81° 36°10' -02' 82° 36°18' -01' 82° 36°25' +00' 83° 9

10 35°22' -08' 78° 35°35' -07' 78° 35°46' -05' 79° 35°57' -04' 80° 36°08' -03' 81° 36°17' -02' 81° 36°26' 00' 82° 10

11 35°14' -09' 76° 35°28' -07' 77° 35°41' -06' 78° 35°53' -05' 79° 36°05' -04' 79° 36°15' -02' 80° 36°26' -01' 81° 11

12 35°06' -09' 75° 35°21' -08' 76° 35°35' -07' 77° 35°48' -06' 77° 36°01' -04' 78° 36°13' -03' 79° 36°24' -02' 79° 12

13 34°56' -10' 74° 35°13' -09' 75° 35°28' -08' 75° 35°43' -06' 76° 35°57' -05' 77° 36°10' -04' 78° 36°23' -03' 78° 13

14 34°46' -11' 73° 35°04' -10' 74° 35°20' -08' 74° 35°36' -07' 75° 35°52' -06' 76° 36°06' -05' 76° 36°20' -03' 77° 14

15 34°36' -11' 72° 34°54' -10' 72° 35°12' -09' 73° 35°29' -08' 74° 35°46' -07' 74° 36°02' -05' 75° 36°17' -04' 76° 15

16 34°24' -12' 70° 34°44' -11' 71° 35°03' -10' 72° 35°21' -09' 72° 35°39' -07' 73° 35°56' -06' 74° 36°13' -05' 75° 16

17 34°12' -13' 69° 34°33' -12' 70° 34°53' -10' 71° 35°13' -09' 71° 35°32' -08' 72° 35°50' -07' 73° 36°08' -06' 73° 17

18 33°59' -13' 68° 34°21' -12' 69° 34°43' -11' 69° 35°04' -10' 70° 35°24' -09' 71° 35°43' -08' 71° 36°02' -06' 72° 18

19 33°46' -14' 67° 34°09' -13' 68° 34°32' -12' 68° 34°54' -11' 69° 35°15' -10' 69° 35°36' -08' 70° 35°56' -07' 71° 19

20 33°32' -15' 66° 33°56' -14' 66° 34°20' -13' 67° 34°43' -11' 68° 35°05' -10' 68° 35°27' -09' 69° 35°48' -08' 70° 20

21 33°17' -15' 65° 33°42' -14' 65° 34°07' -13' 66° 34°31' -12' 66° 34°55' -11' 67° 35°18' -10' 68° 35°41' -09' 68° 21

22 33°01' -16' 63° 33°28' -15' 64° 33°54' -14' 65° 34°19' -13' 65° 34°44' -12' 66° 35°08' -11' 67° 35°32' -09' 67° 22

23 32°45' -17' 62° 33°13' -16' 63° 33°40' -15' 63° 34°07' -13' 64° 34°32' -12' 65° 34°58' -11' 65° 35°23' -10' 66° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 35°00' 00' 90° 35°00' +01' 91° 34°59' +02' 91° 34°57' +03' 92° 34°54' +05' 93° 34°51' +06' 93° 34°47' +07' 94° 0

1 35°00' -01' 89° 35°01' +00' 89° 35°01' +01' 90° 35°00' +03' 91° 34°59' +04' 92° 34°57' +05' 92° 34°54' +07' 93° 1

2 34°59' -02' 88° 35°01' -01' 88° 35°02' +01' 89° 35°03' +02' 90° 35°03' +03' 90° 35°02' +05' 91° 35°01' +06' 92° 2

3 34°57' -03' 86° 35°00' -01' 87° 35°03' 00' 88° 35°05' +01' 88° 35°06' +03' 89° 35°07' +04' 90° 35°06' +05' 91° 3

4 34°54' -03' 85° 34°59' -02' 86° 35°03' -01' 87° 35°06' +01' 87° 35°09' +02' 88° 35°11' +03' 89° 35°12' +04' 89° 4

5 34°51' -04' 84° 34°57' -03' 85° 35°02' -01' 85° 35°07' 00' 86° 35°11' +01' 87° 35°14' +02' 87° 35°16' +04' 88° 5

6 34°47' -05' 83° 34°54' -03' 83° 35°01' -02' 84° 35°06' -01' 85° 35°12' +00' 85° 35°16' +02' 86° 35°20' +03' 87° 6

7 34°42' -05' 81° 34°51' -04' 82° 34°58' -03' 83° 35°06' -02' 84° 35°12' 00' 84° 35°18' +01' 85° 35°22' +02' 86° 7

8 34°37' -06' 80° 34°46' -05' 81° 34°56' -04' 82° 35°04' -02' 82° 35°12' -01' 83° 35°18' +00' 84° 35°25' +01' 84° 8

9 34°30' -07' 79° 34°41' -06' 80° 34°52' -04' 80° 35°01' -03' 81° 35°10' -02' 82° 35°19' -01' 83° 35°26' +01' 83° 9

10 34°24' -08' 78° 34°36' -06' 79° 34°47' -05' 79° 34°58' -04' 80° 35°08' -03' 81° 35°18' -01' 81° 35°27' 00' 82° 10

11 34°16' -08' 77° 34°29' -07' 77° 34°42' -06' 78° 34°54' -05' 79° 35°06' -03' 79° 35°17' -02' 80° 35°27' -01' 81° 11

12 34°08' -09' 75° 34°22' -08' 76° 34°36' -07' 77° 34°50' -05' 77° 35°03' -04' 78° 35°15' -03' 79° 35°26' -02' 80° 12

13 33°59' -10' 74° 34°15' -08' 75° 34°30' -07' 76° 34°45' -06' 76° 34°58' -05' 77° 35°12' -04' 78° 35°24' -02' 78° 13

14 33°49' -10' 73° 34°06' -09' 74° 34°23' -08' 74° 34°38' -07' 75° 34°54' -06' 76° 35°08' -04' 76° 35°22' -03' 77° 14

15 33°39' -11' 72° 33°57' -10' 73° 34°15' -09' 73° 34°32' -07' 74° 34°48' -06' 74° 35°04' -05' 75° 35°19' -04' 76° 15

16 33°28' -12' 71° 33°47' -11' 71° 34°06' -09' 72° 34°24' -08' 73° 34°42' -07' 73° 34°59' -06' 74° 35°15' -05' 75° 16

17 33°16' -12' 70° 33°37' -11' 70° 33°57' -10' 71° 34°16' -09' 71° 34°35' -08' 72° 34°53' -06' 73° 35°10' -05' 73° 17

18 33°04' -13' 68° 33°25' -12' 69° 33°47' -11' 70° 34°07' -10' 70° 34°27' -08' 71° 34°47' -07' 72° 35°05' -06' 72° 18

19 32°51' -14' 67° 33°13' -13' 68° 33°36' -11' 68° 33°58' -10' 69° 34°19' -09' 70° 34°39' -08' 70° 34°59' -07' 71° 19

20 32°37' -14' 66° 33°01' -13' 67° 33°24' -12' 67° 33°47' -11' 68° 34°10' -10' 68° 34°31' -09' 69° 34°52' -07' 70° 20

21 32°23' -15' 65° 32°48' -14' 65° 33°12' -13' 66° 33°36' -12' 67° 34°00' -10' 67° 34°23' -09' 68° 34°45' -08' 69° 21

22 32°08' -16' 64° 32°34' -14' 64° 33°00' -13' 65° 33°25' -12' 65° 33°49' -11' 66° 34°13' -10' 67° 34°37' -09' 67° 22

23 31°52' -16' 63° 32°19' -15' 63° 32°46' -14' 64° 33°13' -13' 64° 33°38' -12' 65° 34°03' -11' 66° 34°28' -10' 66° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

54° 306° LHA Latitude SAME as Declination 54° 306° LHA

54° 306° LHA Latitude SAME as Declination 54° 306° LHA

55° 305° LHA Latitude SAME as Declination 55° 305° LHA

55° 305° LHA Latitude SAME as Declination 55° 305° LHA

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Page 31: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 34°00' 00' 90° 34°00' +01' 91° 33°59' +02' 91° 33°57' +03' 92° 33°54' +05' 93° 33°51' +06' 93° 33°47' +07' 94° 0

1 34°00' -01' 89° 34°01' +00' 89° 34°01' +01' 90° 34°00' +03' 91° 33°59' +04' 91° 33°57' +05' 92° 33°55' +07' 93° 1

2 33°59' -02' 88° 34°01' -01' 88° 34°02' +01' 89° 34°03' +02' 90° 34°03' +03' 90° 34°02' +05' 91° 34°01' +06' 92° 2

3 33°57' -02' 86° 34°00' -01' 87° 34°03' +00' 88° 34°05' +01' 88° 34°06' +03' 89° 34°07' +04' 90° 34°07' +05' 90° 3

4 33°54' -03' 85° 33°59' -02' 86° 34°03' -01' 87° 34°06' +01' 87° 34°09' +02' 88° 34°11' +03' 89° 34°12' +04' 89° 4

5 33°51' -04' 84° 33°57' -03' 85° 34°02' -01' 85° 34°07' 00' 86° 34°11' +01' 87° 34°14' +02' 87° 34°16' +04' 88° 5

6 33°47' -05' 83° 33°55' -03' 83° 34°01' -02' 84° 34°07' -01' 85° 34°12' +00' 85° 34°16' +02' 86° 34°20' +03' 87° 6

7 33°43' -05' 82° 33°51' -04' 82° 33°59' -03' 83° 34°06' -02' 84° 34°12' 00' 84° 34°18' +01' 85° 34°23' +02' 86° 7

8 33°37' -06' 80° 33°47' -05' 81° 33°56' -03' 82° 34°04' -02' 82° 34°12' -01' 83° 34°19' +00' 84° 34°25' +02' 84° 8

9 33°32' -07' 79° 33°42' -05' 80° 33°53' -04' 80° 34°02' -03' 81° 34°11' -02' 82° 34°19' 00' 83° 34°27' +01' 83° 9

10 33°25' -07' 78° 33°37' -06' 79° 33°49' -05' 79° 33°59' -04' 80° 34°09' -02' 81° 34°19' -01' 81° 34°28' +00' 82° 10

11 33°18' -08' 77° 33°31' -07' 77° 33°44' -06' 78° 33°56' -04' 79° 34°07' -03' 79° 34°18' -02' 80° 34°28' -01' 81° 11

12 33°10' -09' 76° 33°24' -07' 76° 33°38' -06' 77° 33°51' -05' 78° 34°04' -04' 78° 34°16' -03' 79° 34°27' -01' 80° 12

13 33°01' -09' 74° 33°17' -08' 75° 33°32' -07' 76° 33°46' -06' 76° 34°00' -05' 77° 34°13' -03' 78° 34°26' -02' 78° 13

14 32°52' -10' 73° 33°09' -09' 74° 33°25' -08' 75° 33°41' -06' 75° 33°56' -05' 76° 34°10' -04' 76° 34°24' -03' 77° 14

15 32°42' -11' 72° 33°00' -09' 73° 33°17' -08' 73° 33°34' -07' 74° 33°50' -06' 75° 34°06' -05' 75° 34°21' -03' 76° 15

16 32°31' -11' 71° 32°50' -10' 72° 33°09' -09' 72° 33°27' -08' 73° 33°44' -07' 73° 34°01' -05' 74° 34°17' -04' 75° 16

17 32°20' -12' 70° 32°40' -11' 70° 33°00' -10' 71° 33°19' -08' 72° 33°38' -07' 72° 33°56' -06' 73° 34°13' -05' 73° 17

18 32°08' -13' 69° 32°29' -11' 69° 32°50' -10' 70° 33°11' -09' 70° 33°31' -08' 71° 33°50' -07' 72° 34°08' -06' 72° 18

19 31°55' -13' 67° 32°18' -12' 68° 32°40' -11' 69° 33°02' -10' 69° 33°23' -09' 70° 33°43' -07' 70° 34°03' -06' 71° 19

20 31°42' -14' 66° 32°06' -13' 67° 32°29' -12' 67° 32°52' -10' 68° 33°14' -09' 69° 33°36' -08' 69° 33°56' -07' 70° 20

21 31°28' -14' 65° 31°53' -13' 66° 32°18' -12' 66° 32°41' -11' 67° 33°05' -10' 67° 33°27' -09' 68° 33°49' -08' 69° 21

22 31°14' -15' 64° 31°40' -14' 65° 32°05' -13' 65° 32°30' -12' 66° 32°55' -11' 66° 33°19' -10' 67° 33°42' -08' 68° 22

23 30°59' -16' 63° 31°26' -15' 63° 31°52' -13' 64° 32°19' -12' 65° 32°44' -11' 65° 33°09' -10' 66° 33°33' -09' 66° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 33°00' 00' 90° 33°00' +01' 91° 32°59' +02' 91° 32°57' +03' 92° 32°55' +05' 93° 32°52' +06' 93° 32°48' +07' 94° 0

1 33°00' -01' 89° 33°01' +00' 89° 33°01' +01' 90° 33°00' +03' 91° 32°59' +04' 91° 32°57' +05' 92° 32°55' +06' 93° 1

2 32°59' -02' 88° 33°01' 00' 88° 33°02' +01' 89° 33°03' +02' 90° 33°03' +03' 90° 33°03' +05' 91° 33°01' +06' 92° 2

3 32°57' -02' 86° 33°00' -01' 87° 33°03' +00' 88° 33°05' +01' 88° 33°06' +03' 89° 33°07' +04' 90° 33°07' +05' 90° 3

4 32°55' -03' 85° 32°59' -02' 86° 33°03' -01' 87° 33°06' +01' 87° 33°09' +02' 88° 33°11' +03' 88° 33°12' +04' 89° 4

5 32°52' -04' 84° 32°57' -02' 85° 33°03' -01' 85° 33°07' 00' 86° 33°11' +01' 87° 33°14' +02' 87° 33°17' +04' 88° 5

6 32°48' -04' 83° 32°55' -03' 83° 33°01' -02' 84° 33°07' -01' 85° 33°12' +01' 85° 33°17' +02' 86° 33°20' +03' 87° 6

7 32°43' -05' 82° 32°52' -04' 82° 32°59' -03' 83° 33°06' -01' 84° 33°13' 00' 84° 33°18' +01' 85° 33°23' +02' 86° 7

8 32°38' -06' 80° 32°48' -05' 81° 32°57' -03' 82° 33°05' -02' 82° 33°13' -01' 83° 33°20' +00' 84° 33°26' +02' 84° 8

9 32°33' -06' 79° 32°43' -05' 80° 32°54' -04' 81° 33°03' -03' 81° 33°12' -01' 82° 33°20' 00' 83° 33°28' +01' 83° 9

10 32°26' -07' 78° 32°38' -06' 79° 32°50' -05' 79° 33°00' -03' 80° 33°10' -02' 81° 33°20' -01' 81° 33°29' +00' 82° 10

11 32°19' -08' 77° 32°32' -07' 78° 32°45' -05' 78° 32°57' -04' 79° 33°08' -03' 79° 33°19' -02' 80° 33°29' 00' 81° 11

12 32°11' -08' 76° 32°26' -07' 76° 32°40' -06' 77° 32°53' -05' 78° 33°05' -04' 78° 33°17' -02' 79° 33°28' -01' 80° 12

13 32°03' -09' 75° 32°19' -08' 75° 32°34' -07' 76° 32°48' -05' 76° 33°02' -04' 77° 33°15' -03' 78° 33°27' -02' 78° 13

14 31°54' -10' 73° 32°11' -08' 74° 32°27' -07' 75° 32°43' -06' 75° 32°58' -05' 76° 33°12' -04' 77° 33°26' -02' 77° 14

15 31°44' -10' 72° 32°02' -09' 73° 32°20' -08' 73° 32°37' -07' 74° 32°53' -06' 75° 33°08' -04' 75° 33°23' -03' 76° 15

16 31°34' -11' 71° 31°53' -10' 72° 32°12' -09' 72° 32°30' -07' 73° 32°47' -06' 74° 33°04' -05' 74° 33°20' -04' 75° 16

17 31°23' -11' 70° 31°44' -10' 71° 32°03' -09' 71° 32°22' -08' 72° 32°41' -07' 72° 32°59' -06' 73° 33°16' -05' 74° 17

18 31°12' -12' 69° 31°33' -11' 69° 31°54' -10' 70° 32°14' -09' 71° 32°34' -08' 71° 32°53' -06' 72° 33°12' -05' 72° 18

19 31°00' -13' 68° 31°22' -12' 68° 31°44' -10' 69° 32°06' -09' 69° 32°26' -08' 70° 32°47' -07' 71° 33°06' -06' 71° 19

20 30°47' -13' 67° 31°11' -12' 67° 31°34' -11' 68° 31°56' -10' 68° 32°18' -09' 69° 32°40' -08' 69° 33°00' -07' 70° 20

21 30°34' -14' 65° 30°58' -13' 66° 31°23' -12' 67° 31°46' -11' 67° 32°09' -10' 68° 32°32' -08' 68° 32°54' -07' 69° 21

22 30°20' -14' 64° 30°46' -13' 65° 31°11' -12' 65° 31°36' -11' 66° 32°00' -10' 66° 32°24' -09' 67° 32°47' -08' 68° 22

23 30°05' -15' 63° 30°32' -14' 64° 30°59' -13' 64° 31°24' -12' 65° 31°50' -11' 65° 32°14' -10' 66° 32°39' -09' 66° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

56° 304° LHA Latitude SAME as Declination 56° 304° LHA

57° 303° LHA Latitude SAME as Declination 57° 303° LHA

57° 303° LHA Latitude SAME as Declination 57° 303° LHA

56° 304° LHA Latitude SAME as Declination 56° 304° LHA

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Page 32: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 32°00' 00' 90° 32°00' +01' 91° 31°59' +02' 91° 31°57' +03' 92° 31°55' +05' 92° 31°52' +06' 93° 31°48' +07' 94° 0

1 32°00' -01' 89° 32°01' +00' 89° 32°01' +01' 90° 32°00' +03' 91° 31°59' +04' 91° 31°58' +05' 92° 31°55' +06' 93° 1

2 31°59' -02' 88° 32°01' 00' 88° 32°02' +01' 89° 32°03' +02' 90° 32°03' +03' 90° 32°03' +05' 91° 32°02' +06' 91° 2

3 31°57' -02' 86° 32°00' -01' 87° 32°03' +00' 88° 32°05' +01' 88° 32°07' +03' 89° 32°07' +04' 90° 32°07' +05' 90° 3

4 31°55' -03' 85° 31°59' -02' 86° 32°03' 00' 87° 32°07' +01' 87° 32°09' +02' 88° 32°11' +03' 88° 32°13' +04' 89° 4

5 31°52' -04' 84° 31°58' -02' 85° 32°03' -01' 85° 32°07' +00' 86° 32°11' +01' 87° 32°14' +03' 87° 32°17' +04' 88° 5

6 31°48' -04' 83° 31°55' -03' 84° 32°02' -02' 84° 32°07' -01' 85° 32°13' +01' 85° 32°17' +02' 86° 32°21' +03' 87° 6

7 31°44' -05' 82° 31°52' -04' 82° 32°00' -02' 83° 32°07' -01' 84° 32°13' +00' 84° 32°19' +01' 85° 32°24' +02' 86° 7

8 31°39' -06' 81° 31°49' -04' 81° 31°57' -03' 82° 32°06' -02' 82° 32°13' -01' 83° 32°20' +01' 84° 32°26' +02' 84° 8

9 31°34' -06' 79° 31°44' -05' 80° 31°54' -04' 81° 32°04' -03' 81° 32°13' -01' 82° 32°21' 00' 83° 32°28' +01' 83° 9

10 31°27' -07' 78° 31°39' -06' 79° 31°51' -04' 79° 32°01' -03' 80° 32°11' -02' 81° 32°21' -01' 81° 32°29' +00' 82° 10

11 31°21' -07' 77° 31°34' -06' 78° 31°46' -05' 78° 31°58' -04' 79° 32°09' -03' 80° 32°20' -01' 80° 32°30' 00' 81° 11

12 31°13' -08' 76° 31°28' -07' 77° 31°41' -06' 77° 31°54' -04' 78° 32°07' -03' 78° 32°19' -02' 79° 32°30' -01' 80° 12

13 31°05' -09' 75° 31°21' -07' 75° 31°36' -06' 76° 31°50' -05' 77° 32°03' -04' 77° 32°16' -03' 78° 32°29' -02' 78° 13

14 30°57' -09' 74° 31°13' -08' 74° 31°29' -07' 75° 31°45' -06' 75° 32°00' -05' 76° 32°14' -03' 77° 32°27' -02' 77° 14

15 30°47' -10' 72° 31°05' -09' 73° 31°22' -08' 74° 31°39' -06' 74° 31°55' -05' 75° 32°10' -04' 75° 32°25' -03' 76° 15

16 30°37' -10' 71° 30°56' -09' 72° 31°15' -08' 72° 31°33' -07' 73° 31°50' -06' 74° 32°06' -05' 74° 32°22' -04' 75° 16

17 30°27' -11' 70° 30°47' -10' 71° 31°07' -09' 71° 31°25' -08' 72° 31°44' -07' 72° 32°02' -05' 73° 32°19' -04' 74° 17

18 30°16' -12' 69° 30°37' -11' 70° 30°58' -09' 70° 31°18' -08' 71° 31°37' -07' 71° 31°56' -06' 72° 32°15' -05' 72° 18

19 30°04' -12' 68° 30°26' -11' 68° 30°48' -10' 69° 31°09' -09' 70° 31°30' -08' 70° 31°50' -07' 71° 32°10' -05' 71° 19

20 29°52' -13' 67° 30°15' -12' 67° 30°38' -11' 68° 31°01' -10' 68° 31°22' -08' 69° 31°44' -07' 70° 32°04' -06' 70° 20

21 29°39' -13' 66° 30°04' -12' 66° 30°28' -11' 67° 30°51' -10' 67° 31°14' -09' 68° 31°36' -08' 68° 31°58' -07' 69° 21

22 29°26' -14' 65° 29°51' -13' 65° 30°16' -12' 66° 30°41' -11' 66° 31°05' -10' 67° 31°28' -09' 67° 31°51' -07' 68° 22

23 29°12' -15' 63° 29°38' -13' 64° 30°04' -12' 64° 30°30' -11' 65° 30°55' -10' 66° 31°20' -09' 66° 31°44' -08' 67° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 31°00' 00' 90° 31°00' +01' 91° 30°59' +02' 91° 30°57' +03' 92° 30°55' +05' 92° 30°52' +06' 93° 30°49' +07' 94° 0

1 31°00' -01' 89° 31°01' +00' 89° 31°01' +01' 90° 31°01' +03' 91° 31°00' +04' 91° 30°58' +05' 92° 30°56' +06' 92° 1

2 30°59' -02' 88° 31°01' 00' 88° 31°02' +01' 89° 31°03' +02' 89° 31°03' +03' 90° 31°03' +05' 91° 31°02' +06' 91° 2

3 30°57' -02' 87° 31°01' -01' 87° 31°03' +00' 88° 31°05' +01' 88° 31°07' +03' 89° 31°08' +04' 90° 31°08' +05' 90° 3

4 30°55' -03' 85° 31°00' -02' 86° 31°03' 00' 87° 31°07' +01' 87° 31°09' +02' 88° 31°12' +03' 88° 31°13' +04' 89° 4

5 30°52' -03' 84° 30°58' -02' 85° 31°03' -01' 85° 31°08' +00' 86° 31°12' +01' 87° 31°15' +03' 87° 31°17' +04' 88° 5

6 30°49' -04' 83° 30°56' -03' 84° 31°02' -02' 84° 31°08' 00' 85° 31°13' +01' 85° 31°17' +02' 86° 31°21' +03' 87° 6

7 30°45' -05' 82° 30°53' -03' 82° 31°00' -02' 83° 31°07' -01' 84° 31°14' +00' 84° 31°19' +01' 85° 31°25' +03' 85° 7

8 30°40' -05' 81° 30°49' -04' 81° 30°58' -03' 82° 31°06' -02' 82° 31°14' 00' 83° 31°21' +01' 84° 31°27' +02' 84° 8

9 30°35' -06' 80° 30°45' -05' 80° 30°55' -04' 81° 31°05' -02' 81° 31°13' -01' 82° 31°22' +00' 82° 31°29' +01' 83° 9

10 30°29' -07' 78° 30°40' -05' 79° 30°52' -04' 80° 31°02' -03' 80° 31°12' -02' 81° 31°22' -01' 81° 31°30' +01' 82° 10

11 30°22' -07' 77° 30°35' -06' 78° 30°48' -05' 78° 30°59' -04' 79° 31°11' -02' 80° 31°21' -01' 80° 31°31' +00' 81° 11

12 30°15' -08' 76° 30°29' -07' 77° 30°43' -05' 77° 30°56' -04' 78° 31°08' -03' 78° 31°20' -02' 79° 31°31' -01' 80° 12

13 30°07' -08' 75° 30°23' -07' 75° 30°37' -06' 76° 30°52' -05' 77° 31°05' -04' 77° 31°18' -02' 78° 31°30' -01' 78° 13

14 29°59' -09' 74° 30°15' -08' 74° 30°31' -07' 75° 30°47' -05' 75° 31°01' -04' 76° 31°16' -03' 77° 31°29' -02' 77° 14

15 29°50' -10' 73° 30°08' -08' 73° 30°25' -07' 74° 30°41' -06' 74° 30°57' -05' 75° 31°13' -04' 75° 31°27' -03' 76° 15

16 29°41' -10' 72° 29°59' -09' 72° 30°18' -08' 73° 30°35' -07' 73° 30°52' -06' 74° 31°09' -04' 74° 31°25' -03' 75° 16

17 29°30' -11' 70° 29°50' -10' 71° 30°10' -08' 71° 30°28' -07' 72° 30°47' -06' 73° 31°04' -05' 73° 31°22' -04' 74° 17

18 29°20' -11' 69° 29°41' -10' 70° 30°01' -09' 70° 30°21' -08' 71° 30°41' -07' 71° 30°59' -06' 72° 31°18' -04' 73° 18

19 29°09' -12' 68° 29°31' -11' 69° 29°52' -10' 69° 30°13' -08' 70° 30°34' -07' 70° 30°54' -06' 71° 31°13' -05' 71° 19

20 28°57' -12' 67° 29°20' -11' 68° 29°43' -10' 68° 30°05' -09' 69° 30°26' -08' 69° 30°48' -07' 70° 31°08' -06' 70° 20

21 28°44' -13' 66° 29°09' -12' 66° 29°32' -11' 67° 29°56' -10' 67° 30°19' -09' 68° 30°41' -07' 69° 31°02' -06' 69° 21

22 28°31' -13' 65° 28°57' -12' 65° 29°22' -11' 66° 29°46' -10' 66° 30°10' -09' 67° 30°33' -08' 67° 30°56' -07' 68° 22

23 28°18' -14' 64° 28°44' -13' 64° 29°10' -12' 65° 29°36' -11' 65° 30°01' -10' 66° 30°25' -09' 66° 30°49' -08' 67° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

59° 301° LHA Latitude SAME as Declination 59° 301° LHA

58° 302° LHA Latitude SAME as Declination 58° 302° LHA

58° 302° LHA Latitude SAME as Declination 58° 302° LHA

59° 301° LHA Latitude SAME as Declination 59° 301° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 33: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 30°00' 00' 90° 30°00' +01' 91° 29°59' +02' 91° 29°57' +03' 92° 29°55' +05' 92° 29°52' +06' 93° 29°49' +07' 93° 0

1 30°00' -01' 89° 30°01' +00' 89° 30°01' +02' 90° 30°01' +03' 91° 30°00' +04' 91° 29°58' +05' 92° 29°56' +06' 92° 1

2 29°59' -02' 88° 30°01' 00' 88° 30°02' +01' 89° 30°03' +02' 89° 30°04' +03' 90° 30°03' +05' 91° 30°02' +06' 91° 2

3 29°57' -02' 87° 30°01' -01' 87° 30°03' +00' 88° 30°05' +02' 88° 30°07' +03' 89° 30°08' +04' 89° 30°08' +05' 90° 3

4 29°55' -03' 85° 30°00' -02' 86° 30°04' 00' 87° 30°07' +01' 87° 30°10' +02' 88° 30°12' +03' 88° 30°13' +05' 89° 4

5 29°52' -03' 84° 29°58' -02' 85° 30°03' -01' 85° 30°08' +00' 86° 30°12' +02' 87° 30°15' +03' 87° 30°18' +04' 88° 5

6 29°49' -04' 83° 29°56' -03' 84° 30°02' -02' 84° 30°08' 00' 85° 30°13' +01' 85° 30°18' +02' 86° 30°22' +03' 87° 6

7 29°45' -05' 82° 29°53' -03' 82° 30°01' -02' 83° 30°08' -01' 84° 30°14' +00' 84° 30°20' +01' 85° 30°25' +03' 85° 7

8 29°41' -05' 81° 29°50' -04' 81° 29°59' -03' 82° 30°07' -02' 82° 30°14' 00' 83° 30°21' +01' 84° 30°28' +02' 84° 8

9 29°36' -06' 80° 29°46' -05' 80° 29°56' -03' 81° 30°05' -02' 81° 30°14' -01' 82° 30°22' +00' 82° 30°30' +01' 83° 9

10 29°30' -06' 78° 29°42' -05' 79° 29°53' -04' 80° 30°03' -03' 80° 30°13' -02' 81° 30°23' 00' 81° 30°31' +01' 82° 10

11 29°24' -07' 77° 29°37' -06' 78° 29°49' -05' 78° 30°01' -03' 79° 30°12' -02' 80° 30°22' -01' 80° 30°32' +00' 81° 11

12 29°17' -07' 76° 29°31' -06' 77° 29°44' -05' 77° 29°57' -04' 78° 30°09' -03' 78° 30°21' -02' 79° 30°32' 00' 80° 12

13 29°09' -08' 75° 29°25' -07' 76° 29°39' -06' 76° 29°53' -05' 77° 30°07' -03' 77° 30°20' -02' 78° 30°32' -01' 78° 13

14 29°01' -09' 74° 29°18' -07' 74° 29°33' -06' 75° 29°49' -05' 76° 30°03' -04' 76° 30°17' -03' 77° 30°31' -02' 77° 14

15 28°53' -09' 73° 29°10' -08' 73° 29°27' -07' 74° 29°44' -06' 74° 29°59' -05' 75° 30°15' -03' 76° 30°29' -02' 76° 15

16 28°44' -10' 72° 29°02' -09' 72° 29°20' -07' 73° 29°38' -06' 73° 29°55' -05' 74° 30°11' -04' 74° 30°27' -03' 75° 16

17 28°34' -10' 71° 28°54' -09' 71° 29°13' -08' 72° 29°31' -07' 72° 29°50' -06' 73° 30°07' -05' 73° 30°24' -03' 74° 17

18 28°24' -11' 69° 28°44' -10' 70° 29°05' -09' 70° 29°25' -07' 71° 29°44' -06' 72° 30°03' -05' 72° 30°21' -04' 73° 18

19 28°13' -11' 68° 28°35' -10' 69° 28°56' -09' 69° 29°17' -08' 70° 29°37' -07' 70° 29°57' -06' 71° 30°17' -05' 71° 19

20 28°01' -12' 67° 28°24' -11' 68° 28°47' -10' 68° 29°09' -09' 69° 29°31' -08' 69° 29°52' -06' 70° 30°12' -05' 70° 20

21 27°50' -12' 66° 28°14' -11' 67° 28°37' -10' 67° 29°00' -09' 68° 29°23' -08' 68° 29°45' -07' 69° 30°07' -06' 69° 21

22 27°37' -13' 65° 28°02' -12' 65° 28°27' -11' 66° 28°51' -10' 66° 29°15' -09' 67° 29°38' -08' 67° 30°01' -06' 68° 22

23 27°24' -13' 64° 27°50' -12' 64° 28°16' -11' 65° 28°41' -10' 65° 29°06' -09' 66° 29°31' -08' 66° 29°54' -07' 67° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 29°00' 00' 90° 29°00' +01' 91° 28°59' +02' 91° 28°57' +03' 92° 28°55' +04' 92° 28°53' +06' 93° 28°50' +07' 93° 0

1 29°00' -01' 89° 29°01' +00' 89° 29°01' +02' 90° 29°01' +03' 91° 29°00' +04' 91° 28°58' +05' 92° 28°56' +06' 92° 1

2 28°59' -01' 88° 29°01' 00' 88° 29°02' +01' 89° 29°03' +02' 89° 29°04' +03' 90° 29°04' +05' 90° 29°03' +06' 91° 2

3 28°57' -02' 87° 29°01' -01' 87° 29°03' +00' 88° 29°06' +02' 88° 29°07' +03' 89° 29°08' +04' 89° 29°08' +05' 90° 3

4 28°55' -03' 85° 29°00' -01' 86° 29°04' 00' 87° 29°07' +01' 87° 29°10' +02' 88° 29°12' +03' 88° 29°14' +05' 89° 4

5 28°53' -03' 84° 28°58' -02' 85° 29°04' -01' 85° 29°08' +00' 86° 29°12' +02' 87° 29°15' +03' 87° 29°18' +04' 88° 5

6 28°50' -04' 83° 28°56' -03' 84° 29°03' -01' 84° 29°08' 00' 85° 29°14' +01' 85° 29°18' +02' 86° 29°22' +03' 86° 6

7 28°46' -04' 82° 28°54' -03' 83° 29°01' -02' 83° 29°08' -01' 84° 29°15' +00' 84° 29°20' +02' 85° 29°26' +03' 85° 7

8 28°41' -05' 81° 28°51' -04' 81° 28°59' -03' 82° 29°08' -01' 83° 29°15' 00' 83° 29°22' +01' 84° 29°28' +02' 84° 8

9 28°37' -05' 80° 28°47' -04' 80° 28°57' -03' 81° 29°06' -02' 81° 29°15' -01' 82° 29°23' +00' 82° 29°31' +02' 83° 9

10 28°31' -06' 79° 28°43' -05' 79° 28°54' -04' 80° 29°04' -03' 80° 29°14' -01' 81° 29°23' 00' 81° 29°32' +01' 82° 10

11 28°25' -07' 77° 28°38' -05' 78° 28°50' -04' 79° 29°02' -03' 79° 29°13' -02' 80° 29°23' -01' 80° 29°33' +00' 81° 11

12 28°18' -07' 76° 28°32' -06' 77° 28°46' -05' 77° 28°59' -04' 78° 29°11' -03' 78° 29°23' -01' 79° 29°34' 00' 80° 12

13 28°11' -08' 75° 28°26' -07' 76° 28°41' -05' 76° 28°55' -04' 77° 29°08' -03' 77° 29°21' -02' 78° 29°34' -01' 78° 13

14 28°04' -08' 74° 28°20' -07' 75° 28°36' -06' 75° 28°51' -05' 76° 29°05' -04' 76° 29°19' -03' 77° 29°33' -01' 77° 14

15 27°55' -09' 73° 28°13' -08' 73° 28°30' -07' 74° 28°46' -05' 75° 29°02' -04' 75° 29°17' -03' 76° 29°31' -02' 76° 15

16 27°47' -09' 72° 28°05' -08' 72° 28°23' -07' 73° 28°40' -06' 73° 28°57' -05' 74° 29°14' -04' 74° 29°29' -03' 75° 16

17 27°37' -10' 71° 27°57' -09' 71° 28°16' -08' 72° 28°34' -07' 72° 28°52' -05' 73° 29°10' -04' 73° 29°27' -03' 74° 17

18 27°27' -10' 70° 27°48' -09' 70° 28°08' -08' 71° 28°28' -07' 71° 28°47' -06' 72° 29°06' -05' 72° 29°24' -04' 73° 18

19 27°17' -11' 69° 27°39' -10' 69° 28°00' -09' 69° 28°21' -08' 70° 28°41' -07' 71° 29°01' -05' 71° 29°20' -04' 72° 19

20 27°06' -11' 67° 27°29' -10' 68° 27°51' -09' 68° 28°13' -08' 69° 28°35' -07' 69° 28°55' -06' 70° 29°16' -05' 70° 20

21 26°55' -12' 66° 27°19' -11' 67° 27°42' -10' 67° 28°05' -09' 68° 28°27' -08' 68° 28°49' -07' 69° 29°11' -05' 69° 21

22 26°43' -12' 65° 27°08' -11' 66° 27°32' -10' 66° 27°56' -09' 67° 28°20' -08' 67° 28°43' -07' 68° 29°05' -06' 68° 22

23 26°30' -13' 64° 26°56' -12' 65° 27°22' -11' 65° 27°47' -10' 66° 28°12' -09' 66° 28°36' -08' 66° 28°59' -07' 67° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

60° 300° LHA Latitude SAME as Declination 60° 300° LHA

60° 300° LHA Latitude SAME as Declination 60° 300° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

61° 299° LHA Latitude SAME as Declination 61° 299° LHA

61° 299° LHA Latitude SAME as Declination 61° 299° LHA

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Page 34: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 28°00' 00' 90° 28°00' +01' 91° 27°59' +02' 91° 27°57' +03' 92° 27°56' +04' 92° 27°53' +06' 93° 27°50' +07' 93° 0

1 28°00' -01' 89° 28°01' +00' 89° 28°01' +02' 90° 28°01' +03' 90° 28°00' +04' 91° 27°59' +05' 92° 27°57' +06' 92° 1

2 27°59' -01' 88° 28°01' 00' 88° 28°03' +01' 89° 28°03' +02' 89° 28°04' +03' 90° 28°04' +05' 90° 28°03' +06' 91° 2

3 27°57' -02' 87° 28°01' -01' 87° 28°03' +00' 88° 28°06' +02' 88° 28°07' +03' 89° 28°08' +04' 89° 28°09' +05' 90° 3

4 27°56' -03' 85° 28°00' -01' 86° 28°04' 00' 87° 28°07' +01' 87° 28°10' +02' 88° 28°12' +03' 88° 28°14' +05' 89° 4

5 27°53' -03' 84° 27°59' -02' 85° 28°04' -01' 85° 28°08' +00' 86° 28°12' +02' 86° 28°16' +03' 87° 28°19' +04' 88° 5

6 27°50' -04' 83° 27°57' -02' 84° 28°03' -01' 84° 28°09' 00' 85° 28°14' +01' 85° 28°19' +02' 86° 28°23' +03' 86° 6

7 27°46' -04' 82° 27°54' -03' 83° 28°02' -02' 83° 28°09' -01' 84° 28°15' +01' 84° 28°21' +02' 85° 28°26' +03' 85° 7

8 27°42' -05' 81° 27°51' -04' 81° 28°00' -02' 82° 28°08' -01' 83° 28°16' 00' 83° 28°23' +01' 84° 28°29' +02' 84° 8

9 27°38' -05' 80° 27°48' -04' 80° 27°58' -03' 81° 28°07' -02' 81° 28°16' -01' 82° 28°24' +01' 82° 28°31' +02' 83° 9

10 27°32' -06' 79° 27°44' -05' 79° 27°55' -03' 80° 28°05' -02' 80° 28°15' -01' 81° 28°24' +00' 81° 28°33' +01' 82° 10

11 27°27' -06' 78° 27°39' -05' 78° 27°51' -04' 79° 28°03' -03' 79° 28°14' -02' 80° 28°24' -01' 80° 28°34' +01' 81° 11

12 27°20' -07' 76° 27°34' -06' 77° 27°47' -05' 77° 28°00' -03' 78° 28°12' -02' 79° 28°24' -01' 79° 28°35' +00' 80° 12

13 27°13' -07' 75° 27°28' -06' 76° 27°43' -05' 76° 27°57' -04' 77° 28°10' -03' 77° 28°23' -02' 78° 28°35' -01' 78° 13

14 27°06' -08' 74° 27°22' -07' 75° 27°38' -06' 75° 27°53' -05' 76° 28°07' -03' 76° 28°21' -02' 77° 28°35' -01' 77° 14

15 26°58' -08' 73° 27°15' -07' 74° 27°32' -06' 74° 27°48' -05' 75° 28°04' -04' 75° 28°19' -03' 76° 28°33' -02' 76° 15

16 26°50' -09' 72° 27°08' -08' 72° 27°26' -07' 73° 27°43' -06' 73° 28°00' -04' 74° 28°16' -03' 75° 28°32' -02' 75° 16

17 26°41' -09' 71° 27°00' -08' 71° 27°19' -07' 72° 27°37' -06' 72° 27°55' -05' 73° 28°13' -04' 73° 28°30' -03' 74° 17

18 26°31' -10' 70° 26°52' -09' 70° 27°12' -08' 71° 27°31' -07' 71° 27°50' -06' 72° 28°09' -04' 72° 28°27' -03' 73° 18

19 26°21' -10' 69° 26°43' -09' 69° 27°04' -08' 70° 27°24' -07' 70° 27°45' -06' 71° 28°04' -05' 71° 28°23' -04' 72° 19

20 26°11' -11' 68° 26°33' -10' 68° 26°56' -09' 69° 27°17' -08' 69° 27°39' -07' 69° 27°59' -06' 70° 28°20' -04' 70° 20

21 26°00' -11' 67° 26°23' -10' 67° 26°47' -09' 67° 27°09' -08' 68° 27°32' -07' 68° 27°54' -06' 69° 28°15' -05' 69° 21

22 25°48' -12' 65° 26°13' -11' 66° 26°37' -10' 66° 27°01' -09' 67° 27°25' -08' 67° 27°48' -07' 68° 28°10' -06' 68° 22

23 25°36' -12' 64° 26°02' -11' 65° 26°27' -10' 65° 26°52' -09' 66° 27°17' -08' 66° 27°41' -07' 67° 28°04' -06' 67° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 27°00' 00' 90° 27°00' +01' 91° 26°59' +02' 91° 26°58' +03' 92° 26°56' +04' 92° 26°53' +06' 93° 26°50' +07' 93° 0

1 27°00' -01' 89° 27°01' +00' 89° 27°01' +02' 90° 27°01' +03' 90° 27°00' +04' 91° 26°59' +05' 91° 26°57' +06' 92° 1

2 26°59' -01' 88° 27°01' 00' 88° 27°03' +01' 89° 27°04' +02' 89° 27°04' +03' 90° 27°04' +05' 90° 27°03' +06' 91° 2

3 26°58' -02' 87° 27°01' -01' 87° 27°04' +00' 88° 27°06' +02' 88° 27°07' +03' 89° 27°09' +04' 89° 27°09' +05' 90° 3

4 26°56' -02' 86° 27°00' -01' 86° 27°04' 00' 87° 27°07' +01' 87° 27°10' +02' 88° 27°13' +03' 88° 27°14' +05' 89° 4

5 26°53' -03' 84° 26°59' -02' 85° 27°04' -01' 85° 27°09' +01' 86° 27°13' +02' 86° 27°16' +03' 87° 27°19' +04' 87° 5

6 26°50' -03' 83° 26°57' -02' 84° 27°03' -01' 84° 27°09' +00' 85° 27°14' +01' 85° 27°19' +02' 86° 27°23' +04' 86° 6

7 26°47' -04' 82° 26°55' -03' 83° 27°02' -02' 83° 27°09' 00' 84° 27°16' +01' 84° 27°21' +02' 85° 27°27' +03' 85° 7

8 26°43' -05' 81° 26°52' -03' 82° 27°01' -02' 82° 27°09' -01' 83° 27°16' +00' 83° 27°23' +01' 84° 27°30' +02' 84° 8

9 26°38' -05' 80° 26°49' -04' 80° 26°58' -03' 81° 27°08' -02' 81° 27°16' 00' 82° 27°25' +01' 82° 27°32' +02' 83° 9

10 26°33' -06' 79° 26°45' -04' 79° 26°56' -03' 80° 27°06' -02' 80° 27°16' -01' 81° 27°25' +00' 81° 27°34' +01' 82° 10

11 26°28' -06' 78° 26°40' -05' 78° 26°52' -04' 79° 27°04' -03' 79° 27°15' -01' 80° 27°25' 00' 80° 27°35' +01' 81° 11

12 26°22' -07' 77° 26°36' -05' 77° 26°49' -04' 78° 27°01' -03' 78° 27°14' -02' 79° 27°25' -01' 79° 27°36' +00' 80° 12

13 26°15' -07' 75° 26°30' -06' 76° 26°44' -05' 76° 26°58' -04' 77° 27°12' -03' 77° 27°24' -01' 78° 27°37' 00' 78° 13

14 26°08' -08' 74° 26°24' -06' 75° 26°40' -05' 75° 26°54' -04' 76° 27°09' -03' 76° 27°23' -02' 77° 27°36' -01' 77° 14

15 26°01' -08' 73° 26°18' -07' 74° 26°34' -06' 74° 26°50' -05' 75° 27°06' -04' 75° 27°21' -02' 76° 27°36' -01' 76° 15

16 25°52' -09' 72° 26°11' -07' 73° 26°28' -06' 73° 26°46' -05' 74° 27°02' -04' 74° 27°18' -03' 75° 27°34' -02' 75° 16

17 25°44' -09' 71° 26°03' -08' 72° 26°22' -07' 72° 26°40' -06' 72° 26°58' -05' 73° 27°15' -04' 73° 27°32' -02' 74° 17

18 25°35' -10' 70° 25°55' -08' 70° 26°15' -07' 71° 26°34' -06' 71° 26°53' -05' 72° 27°12' -04' 72° 27°30' -03' 73° 18

19 25°25' -10' 69° 25°47' -09' 69° 26°08' -08' 70° 26°28' -07' 70° 26°48' -06' 71° 27°08' -05' 71° 27°27' -04' 72° 19

20 25°15' -11' 68° 25°38' -09' 68° 26°00' -08' 69° 26°21' -07' 69° 26°42' -06' 70° 27°03' -05' 70° 27°23' -04' 71° 20

21 25°05' -11' 67° 25°28' -10' 67° 25°51' -09' 68° 26°14' -08' 68° 26°36' -07' 68° 26°58' -06' 69° 27°19' -05' 69° 21

22 24°54' -11' 66° 25°18' -10' 66° 25°42' -09' 66° 26°06' -08' 67° 26°29' -07' 67° 26°52' -06' 68° 27°15' -05' 68° 22

23 24°42' -12' 65° 25°08' -11' 65° 25°33' -10' 65° 25°58' -09' 66° 26°22' -08' 66° 26°46' -07' 67° 27°10' -06' 67° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

62° 298° LHA Latitude SAME as Declination 62° 298° LHA

63° 297° LHA Latitude SAME as Declination 63° 297° LHA

63° 297° LHA Latitude SAME as Declination 63° 297° LHA

62° 298° LHA Latitude SAME as Declination 62° 298° LHA

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Page 35: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 26°00' 00' 90° 26°00' +01' 90° 25°59' +02' 91° 25°58' +03' 91° 25°56' +04' 92° 25°54' +06' 92° 25°51' +07' 93° 0

1 26°00' -01' 89° 26°01' +00' 89° 26°01' +02' 90° 26°01' +03' 90° 26°00' +04' 91° 25°59' +05' 91° 25°58' +06' 92° 1

2 25°59' -01' 88° 26°01' 00' 88° 26°03' +01' 89° 26°04' +02' 89° 26°04' +03' 90° 26°04' +05' 90° 26°04' +06' 91° 2

3 25°58' -02' 87° 26°01' -01' 87° 26°04' +01' 88° 26°06' +02' 88° 26°08' +03' 89° 26°09' +04' 89° 26°09' +05' 90° 3

4 25°56' -02' 86° 26°00' -01' 86° 26°04' +00' 87° 26°08' +01' 87° 26°10' +02' 88° 26°13' +04' 88° 26°15' +05' 88° 4

5 25°54' -03' 84° 25°59' -02' 85° 26°04' 00' 85° 26°09' +01' 86° 26°13' +02' 86° 26°16' +03' 87° 26°19' +04' 87° 5

6 25°51' -03' 83° 25°58' -02' 84° 26°04' -01' 84° 26°09' +00' 85° 26°15' +01' 85° 26°19' +02' 86° 26°24' +04' 86° 6

7 25°48' -04' 82° 25°55' -03' 83° 26°03' -02' 83° 26°10' 00' 84° 26°16' +01' 84° 26°22' +02' 85° 26°27' +03' 85° 7

8 25°44' -04' 81° 25°53' -03' 82° 26°01' -02' 82° 26°09' -01' 83° 26°17' +00' 83° 26°24' +01' 84° 26°30' +03' 84° 8

9 25°39' -05' 80° 25°50' -04' 80° 25°59' -03' 81° 26°08' -01' 81° 26°17' 00' 82° 26°25' +01' 82° 26°33' +02' 83° 9

10 25°35' -05' 79° 25°46' -04' 79° 25°57' -03' 80° 26°07' -02' 80° 26°17' -01' 81° 26°26' +00' 81° 26°35' +02' 82° 10

11 25°29' -06' 78° 25°42' -05' 78° 25°54' -04' 79° 26°05' -02' 79° 26°16' -01' 80° 26°27' 00' 80° 26°37' +01' 81° 11

12 25°23' -06' 77° 25°37' -05' 77° 25°50' -04' 78° 26°03' -03' 78° 26°15' -02' 79° 26°26' -01' 79° 26°38' +01' 80° 12

13 25°17' -07' 76° 25°32' -06' 76° 25°46' -05' 77° 26°00' -03' 77° 26°13' -02' 77° 26°26' -01' 78° 26°38' 00' 78° 13

14 25°10' -07' 74° 25°26' -06' 75° 25°42' -05' 75° 25°56' -04' 76° 26°11' -03' 76° 26°25' -02' 77° 26°38' -01' 77° 14

15 25°03' -08' 73° 25°20' -07' 74° 25°36' -06' 74° 25°52' -04' 75° 26°08' -03' 75° 26°23' -02' 76° 26°38' -01' 76° 15

16 24°55' -08' 72° 25°13' -07' 73° 25°31' -06' 73° 25°48' -05' 74° 26°05' -04' 74° 26°21' -03' 75° 26°37' -02' 75° 16

17 24°47' -09' 71° 25°06' -08' 72° 25°25' -07' 72° 25°43' -05' 73° 26°01' -04' 73° 26°18' -03' 73° 26°35' -02' 74° 17

18 24°38' -09' 70° 24°59' -08' 71° 25°18' -07' 71° 25°38' -06' 71° 25°57' -05' 72° 26°15' -04' 72° 26°33' -03' 73° 18

19 24°29' -10' 69° 24°50' -09' 69° 25°11' -08' 70° 25°32' -06' 70° 25°52' -05' 71° 26°11' -04' 71° 26°30' -03' 72° 19

20 24°20' -10' 68° 24°42' -09' 68° 25°04' -08' 69° 25°25' -07' 69° 25°46' -06' 70° 26°07' -05' 70° 26°27' -04' 71° 20

21 24°09' -11' 67° 24°33' -10' 67° 24°56' -08' 68° 25°18' -07' 68° 25°40' -06' 69° 26°02' -05' 69° 26°23' -04' 70° 21

22 23°59' -11' 66° 24°23' -10' 66° 24°47' -09' 67° 25°11' -08' 67° 25°34' -07' 67° 25°57' -06' 68° 26°19' -05' 68° 22

23 23°48' -11' 65° 24°13' -10' 65° 24°38' -09' 66° 25°03' -08' 66° 25°27' -07' 66° 25°51' -06' 67° 26°14' -05' 67° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 25°00' 00' 90° 25°00' +01' 90° 24°59' +02' 91° 24°58' +03' 91° 24°56' +04' 92° 24°54' +06' 92° 24°51' +07' 93° 0

1 25°00' -01' 89° 25°01' +00' 89° 25°01' +02' 90° 25°01' +03' 90° 25°00' +04' 91° 24°59' +05' 91° 24°58' +06' 92° 1

2 24°59' -01' 88° 25°01' 00' 88° 25°03' +01' 89° 25°04' +02' 89° 25°04' +03' 90° 25°04' +05' 90° 25°04' +06' 91° 2

3 24°58' -02' 87° 25°01' -01' 87° 25°04' +01' 88° 25°06' +02' 88° 25°08' +03' 89° 25°09' +04' 89° 25°10' +05' 89° 3

4 24°56' -02' 86° 25°00' -01' 86° 25°04' +00' 87° 25°08' +01' 87° 25°11' +02' 87° 25°13' +04' 88° 25°15' +05' 88° 4

5 24°54' -03' 84° 24°59' -02' 85° 25°04' 00' 85° 25°09' +01' 86° 25°13' +02' 86° 25°17' +03' 87° 25°20' +04' 87° 5

6 24°51' -03' 83° 24°58' -02' 84° 25°04' -01' 84° 25°10' +00' 85° 25°15' +01' 85° 25°20' +03' 86° 25°24' +04' 86° 6

7 24°48' -04' 82° 24°56' -03' 83° 25°03' -01' 83° 25°10' 00' 84° 25°16' +01' 84° 25°22' +02' 85° 25°28' +03' 85° 7

8 24°44' -04' 81° 24°53' -03' 82° 25°02' -02' 82° 25°10' -01' 83° 25°17' +00' 83° 25°24' +02' 84° 25°31' +03' 84° 8

9 24°40' -05' 80° 24°50' -03' 81° 25°00' -02' 81° 25°09' -01' 81° 25°18' 00' 82° 25°26' +01' 82° 25°34' +02' 83° 9

10 24°36' -05' 79° 24°47' -04' 79° 24°58' -03' 80° 25°08' -02' 80° 25°18' -01' 81° 25°27' +01' 81° 25°36' +02' 82° 10

11 24°31' -06' 78° 24°43' -04' 78° 24°55' -03' 79° 25°06' -02' 79° 25°17' -01' 80° 25°28' +00' 80° 25°38' +01' 81° 11

12 24°25' -06' 77° 24°39' -05' 77° 24°52' -04' 78° 25°04' -03' 78° 25°16' -02' 79° 25°28' 00' 79° 25°39' +01' 80° 12

13 24°19' -06' 76° 24°34' -05' 76° 24°48' -04' 77° 25°01' -03' 77° 25°15' -02' 78° 25°27' -01' 78° 25°40' +00' 78° 13

14 24°13' -07' 75° 24°28' -06' 75° 24°43' -05' 75° 24°58' -04' 76° 25°13' -03' 76° 25°26' -01' 77° 25°40' 00' 77° 14

15 24°06' -07' 74° 24°22' -06' 74° 24°39' -05' 74° 24°55' -04' 75° 25°10' -03' 75° 25°25' -02' 76° 25°40' -01' 76° 15

16 23°58' -08' 72° 24°16' -07' 73° 24°33' -06' 73° 24°51' -05' 74° 25°07' -04' 74° 25°23' -02' 75° 25°39' -01' 75° 16

17 23°50' -08' 71° 24°09' -07' 72° 24°28' -06' 72° 24°46' -05' 73° 25°04' -04' 73° 25°21' -03' 74° 25°38' -02' 74° 17

18 23°42' -09' 70° 24°02' -08' 71° 24°22' -07' 71° 24°41' -06' 72° 25°00' -04' 72° 25°18' -03' 72° 25°36' -02' 73° 18

19 23°33' -09' 69° 23°54' -08' 70° 24°15' -07' 70° 24°35' -06' 70° 24°55' -05' 71° 25°15' -04' 71° 25°34' -03' 72° 19

20 23°24' -10' 68° 23°46' -09' 69° 24°08' -08' 69° 24°29' -07' 69° 24°50' -05' 70° 25°11' -04' 70° 25°31' -03' 71° 20

21 23°14' -10' 67° 23°37' -09' 67° 24°00' -08' 68° 24°23' -07' 68° 24°45' -06' 69° 25°06' -05' 69° 25°27' -04' 70° 21

22 23°04' -11' 66° 23°28' -10' 66° 23°52' -08' 67° 24°16' -07' 67° 24°39' -06' 68° 25°01' -05' 68° 25°24' -04' 68° 22

23 22°54' -11' 65° 23°19' -10' 65° 23°44' -09' 66° 24°08' -08' 66° 24°32' -07' 67° 24°56' -06' 67° 25°19' -05' 67° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

65° 295° LHA Latitude SAME as Declination 65° 295° LHA

64° 296° LHA Latitude SAME as Declination 64° 296° LHA

64° 296° LHA Latitude SAME as Declination 64° 296° LHA

65° 295° LHA Latitude SAME as Declination 65° 295° LHA

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Page 36: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 24°00' 00' 90° 24°00' +01' 90° 23°59' +02' 91° 23°58' +03' 91° 23°56' +04' 92° 23°54' +05' 92° 23°52' +07' 93° 0

1 24°00' -01' 89° 24°01' +00' 89° 24°01' +02' 90° 24°01' +03' 90° 24°01' +04' 91° 24°00' +05' 91° 23°58' +06' 92° 1

2 23°59' -01' 88° 24°01' 00' 88° 24°03' +01' 89° 24°04' +02' 89° 24°05' +03' 90° 24°05' +05' 90° 24°04' +06' 90° 2

3 23°58' -02' 87° 24°01' 00' 87° 24°04' +01' 88° 24°06' +02' 88° 24°08' +03' 89° 24°09' +04' 89° 24°10' +05' 89° 3

4 23°56' -02' 86° 24°01' -01' 86° 24°05' +00' 87° 24°08' +01' 87° 24°11' +02' 87° 24°13' +04' 88° 24°15' +05' 88° 4

5 23°54' -03' 85° 24°00' -01' 85° 24°05' 00' 85° 24°09' +01' 86° 24°13' +02' 86° 24°17' +03' 87° 24°20' +04' 87° 5

6 23°52' -03' 83° 23°58' -02' 84° 24°04' -01' 84° 24°10' +00' 85° 24°15' +02' 85° 24°20' +03' 86° 24°24' +04' 86° 6

7 23°49' -03' 82° 23°56' -02' 83° 24°04' -01' 83° 24°11' 00' 84° 24°17' +01' 84° 24°23' +02' 85° 24°28' +03' 85° 7

8 23°45' -04' 81° 23°54' -03' 82° 24°02' -02' 82° 24°10' -01' 83° 24°18' +01' 83° 24°25' +02' 83° 24°32' +03' 84° 8

9 23°41' -04' 80° 23°51' -03' 81° 24°01' -02' 81° 24°10' -01' 81° 24°19' +00' 82° 24°27' +01' 82° 24°34' +02' 83° 9

10 23°37' -05' 79° 23°48' -04' 80° 23°59' -03' 80° 24°09' -01' 80° 24°19' 00' 81° 24°28' +01' 81° 24°37' +02' 82° 10

11 23°32' -05' 78° 23°44' -04' 78° 23°56' -03' 79° 24°07' -02' 79° 24°18' -01' 80° 24°29' +00' 80° 24°39' +01' 81° 11

12 23°27' -06' 77° 23°40' -05' 77° 23°53' -04' 78° 24°05' -02' 78° 24°18' -01' 79° 24°29' 00' 79° 24°40' +01' 80° 12

13 23°21' -06' 76° 23°35' -05' 76° 23°49' -04' 77° 24°03' -03' 77° 24°16' -02' 78° 24°29' -01' 78° 24°41' +00' 78° 13

14 23°15' -07' 75° 23°30' -06' 75° 23°45' -04' 76° 24°00' -03' 76° 24°14' -02' 76° 24°28' -01' 77° 24°42' 00' 77° 14

15 23°08' -07' 74° 23°25' -06' 74° 23°41' -05' 74° 23°57' -04' 75° 24°12' -03' 75° 24°27' -02' 76° 24°42' 00' 76° 15

16 23°01' -08' 73° 23°19' -06' 73° 23°36' -05' 73° 23°53' -04' 74° 24°09' -03' 74° 24°26' -02' 75° 24°41' -01' 75° 16

17 22°53' -08' 71° 23°12' -07' 72° 23°31' -06' 72° 23°49' -05' 73° 24°06' -04' 73° 24°23' -03' 74° 24°40' -01' 74° 17

18 22°45' -08' 70° 23°05' -07' 71° 23°25' -06' 71° 23°44' -05' 72° 24°03' -04' 72° 24°21' -03' 72° 24°39' -02' 73° 18

19 22°37' -09' 69° 22°58' -08' 70° 23°19' -07' 70° 23°39' -06' 71° 23°59' -05' 71° 24°18' -03' 71° 24°37' -02' 72° 19

20 22°28' -09' 68° 22°50' -08' 69° 23°12' -07' 69° 23°33' -06' 69° 23°54' -05' 70° 24°14' -04' 70° 24°34' -03' 71° 20

21 22°19' -10' 67° 22°42' -09' 68° 23°05' -08' 68° 23°27' -07' 68° 23°49' -05' 69° 24°10' -04' 69° 24°32' -03' 70° 21

22 22°09' -10' 66° 22°33' -09' 67° 22°57' -08' 67° 23°20' -07' 67° 23°43' -06' 68° 24°06' -05' 68° 24°28' -04' 69° 22

23 21°59' -10' 65° 22°24' -09' 65° 22°49' -08' 66° 23°13' -07' 66° 23°37' -06' 67° 24°01' -05' 67° 24°24' -04' 67° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 23°00' 00' 90° 23°00' +01' 90° 22°59' +02' 91° 22°58' +03' 91° 22°56' +04' 92° 22°54' +05' 92° 22°52' +07' 93° 0

1 23°00' -01' 89° 23°01' +00' 89° 23°01' +02' 90° 23°01' +03' 90° 23°01' +04' 91° 23°00' +05' 91° 22°59' +06' 91° 1

2 22°59' -01' 88° 23°01' +00' 88° 23°03' +01' 89° 23°04' +02' 89° 23°05' +03' 90° 23°05' +05' 90° 23°05' +06' 90° 2

3 22°58' -02' 87° 23°01' 00' 87° 23°04' +01' 88° 23°06' +02' 88° 23°08' +03' 88° 23°09' +04' 89° 23°10' +05' 89° 3

4 22°56' -02' 86° 23°01' -01' 86° 23°05' +00' 87° 23°08' +01' 87° 23°11' +03' 87° 23°14' +04' 88° 23°16' +05' 88° 4

5 22°54' -02' 85° 23°00' -01' 85° 23°05' 00' 85° 23°09' +01' 86° 23°14' +02' 86° 23°17' +03' 87° 23°21' +04' 87° 5

6 22°52' -03' 83° 22°59' -02' 84° 23°05' -01' 84° 23°10' +01' 85° 23°16' +02' 85° 23°21' +03' 86° 23°25' +04' 86° 6

7 22°49' -03' 82° 22°57' -02' 83° 23°04' -01' 83° 23°11' +00' 84° 23°17' +01' 84° 23°23' +02' 85° 23°29' +03' 85° 7

8 22°46' -04' 81° 22°55' -03' 82° 23°03' -02' 82° 23°11' 00' 83° 23°19' +01' 83° 23°26' +02' 83° 23°32' +03' 84° 8

9 22°42' -04' 80° 22°52' -03' 81° 23°02' -02' 81° 23°11' -01' 81° 23°19' +00' 82° 23°28' +01' 82° 23°35' +03' 83° 9

10 22°38' -05' 79° 22°49' -04' 80° 23°00' -02' 80° 23°10' -01' 80° 23°20' 00' 81° 23°29' +01' 81° 23°38' +02' 82° 10

11 22°33' -05' 78° 22°45' -04' 78° 22°57' -03' 79° 23°09' -02' 79° 23°19' -01' 80° 23°30' +01' 80° 23°40' +02' 81° 11

12 22°28' -05' 77° 22°41' -04' 77° 22°54' -03' 78° 23°07' -02' 78° 23°19' -01' 79° 23°30' +00' 79° 23°42' +01' 80° 12

13 22°23' -06' 76° 22°37' -05' 76° 22°51' -04' 77° 23°05' -03' 77° 23°18' -02' 78° 23°30' 00' 78° 23°43' +01' 78° 13

14 22°17' -06' 75° 22°32' -05' 75° 22°47' -04' 76° 23°02' -03' 76° 23°16' -02' 76° 23°30' -01' 77° 23°43' +00' 77° 14

15 22°10' -07' 74° 22°27' -06' 74° 22°43' -05' 75° 22°59' -04' 75° 23°14' -02' 75° 23°29' -01' 76° 23°44' 00' 76° 15

16 22°04' -07' 73° 22°21' -06' 73° 22°39' -05' 73° 22°55' -04' 74° 23°12' -03' 74° 23°28' -02' 75° 23°44' -01' 75° 16

17 21°56' -08' 72° 22°15' -07' 72° 22°34' -05' 72° 22°51' -04' 73° 23°09' -03' 73° 23°26' -02' 74° 23°43' -01' 74° 17

18 21°49' -08' 71° 22°09' -07' 71° 22°28' -06' 71° 22°47' -05' 72° 23°06' -04' 72° 23°24' -03' 73° 23°42' -02' 73° 18

19 21°41' -08' 69° 22°02' -07' 70° 22°22' -06' 70° 22°42' -05' 71° 23°02' -04' 71° 23°21' -03' 71° 23°40' -02' 72° 19

20 21°32' -09' 68° 21°54' -08' 69° 22°16' -07' 69° 22°37' -06' 70° 22°58' -05' 70° 23°18' -04' 70° 23°38' -03' 71° 20

21 21°24' -09' 67° 21°47' -08' 68° 22°09' -07' 68° 22°31' -06' 68° 22°53' -05' 69° 23°15' -04' 69° 23°36' -03' 70° 21

22 21°14' -10' 66° 21°38' -09' 67° 22°02' -08' 67° 22°25' -07' 67° 22°48' -06' 68° 23°11' -04' 68° 23°33' -03' 69° 22

23 21°05' -10' 65° 21°30' -09' 66° 21°54' -08' 66° 22°19' -07' 66° 22°43' -06' 67° 23°06' -05' 67° 23°29' -04' 67° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

66° 294° LHA Latitude SAME as Declination 66° 294° LHA

66° 294° LHA Latitude SAME as Declination 66° 294° LHA

67° 293° LHA Latitude SAME as Declination 67° 293° LHA

67° 293° LHA Latitude SAME as Declination 67° 293° LHA

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Page 37: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 22°00' 00' 90° 22°00' +01' 90° 21°59' +02' 91° 21°58' +03' 91° 21°57' +04' 92° 21°55' +05' 92° 21°52' +07' 92° 0

1 22°00' -01' 89° 22°01' +00' 89° 22°01' +02' 90° 22°01' +03' 90° 22°01' +04' 91° 22°00' +05' 91° 21°59' +06' 91° 1

2 21°59' -01' 88° 22°01' +00' 88° 22°03' +01' 89° 22°04' +02' 89° 22°05' +03' 89° 22°05' +05' 90° 22°05' +06' 90° 2

3 21°58' -01' 87° 22°01' 00' 87° 22°04' +01' 88° 22°06' +02' 88° 22°08' +03' 88° 22°10' +04' 89° 22°11' +05' 89° 3

4 21°57' -02' 86° 22°01' -01' 86° 22°05' +00' 86° 22°08' +01' 87° 22°11' +03' 87° 22°14' +04' 88° 22°16' +05' 88° 4

5 21°55' -02' 85° 22°00' -01' 85° 22°05' 00' 85° 22°10' +01' 86° 22°14' +02' 86° 22°18' +03' 87° 22°21' +04' 87° 5

6 21°52' -03' 84° 21°59' -02' 84° 22°05' 00' 84° 22°11' +01' 85° 22°16' +02' 85° 22°21' +03' 86° 22°25' +04' 86° 6

7 21°50' -03' 82° 21°57' -02' 83° 22°05' -01' 83° 22°11' +00' 84° 22°18' +01' 84° 22°24' +02' 84° 22°29' +04' 85° 7

8 21°46' -04' 81° 21°55' -02' 82° 22°04' -01' 82° 22°12' 00' 83° 22°19' +01' 83° 22°26' +02' 83° 22°33' +03' 84° 8

9 21°43' -04' 80° 21°53' -03' 81° 22°02' -02' 81° 22°11' -01' 82° 22°20' +00' 82° 22°28' +02' 82° 22°36' +03' 83° 9

10 21°39' -04' 79° 21°50' -03' 80° 22°01' -02' 80° 22°11' -01' 80° 22°21' +00' 81° 22°30' +01' 81° 22°39' +02' 82° 10

11 21°35' -05' 78° 21°47' -04' 79° 21°58' -03' 79° 22°10' -02' 79° 22°21' 00' 80° 22°31' +01' 80° 22°41' +02' 81° 11

12 21°30' -05' 77° 21°43' -04' 77° 21°56' -03' 78° 22°08' -02' 78° 22°20' -01' 79° 22°32' +00' 79° 22°43' +01' 79° 12

13 21°24' -06' 76° 21°39' -05' 76° 21°53' -03' 77° 22°06' -02' 77° 22°19' -01' 78° 22°32' 00' 78° 22°44' +01' 78° 13

14 21°19' -06' 75° 21°34' -05' 75° 21°49' -04' 76° 22°04' -03' 76° 22°18' -02' 77° 22°32' -01' 77° 22°45' +01' 77° 14

15 21°13' -06' 74° 21°29' -05' 74° 21°45' -04' 75° 22°01' -03' 75° 22°16' -02' 75° 22°31' -01' 76° 22°46' +00' 76° 15

16 21°06' -07' 73° 21°24' -06' 73° 21°41' -05' 74° 21°58' -04' 74° 22°14' -03' 74° 22°30' -01' 75° 22°46' 00' 75° 16

17 21°00' -07' 72° 21°18' -06' 72° 21°36' -05' 72° 21°54' -04' 73° 22°12' -03' 73° 22°29' -02' 74° 22°45' -01' 74° 17

18 20°52' -08' 71° 21°12' -07' 71° 21°31' -06' 71° 21°50' -04' 72° 22°09' -03' 72° 22°27' -02' 73° 22°45' -01' 73° 18

19 20°45' -08' 70° 21°05' -07' 70° 21°26' -06' 70° 21°46' -05' 71° 22°05' -04' 71° 22°25' -03' 71° 22°43' -02' 72° 19

20 20°37' -08' 69° 20°58' -07' 69° 21°20' -06' 69° 21°41' -05' 70° 22°02' -04' 70° 22°22' -03' 70° 22°42' -02' 71° 20

21 20°28' -09' 68° 20°51' -08' 68° 21°13' -07' 68° 21°36' -06' 69° 21°57' -05' 69° 22°19' -04' 69° 22°40' -03' 70° 21

22 20°19' -09' 66° 20°43' -08' 67° 21°07' -07' 67° 21°30' -06' 68° 21°53' -05' 68° 22°15' -04' 68° 22°37' -03' 69° 22

23 20°10' -10' 65° 20°35' -09' 66° 21°00' -08' 66° 21°24' -07' 66° 21°48' -05' 67° 22°11' -04' 67° 22°34' -03' 68° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 21°00' 00' 90° 21°00' +01' 90° 20°59' +02' 91° 20°58' +03' 91° 20°57' +04' 92° 20°55' +05' 92° 20°53' +07' 92° 0

1 21°00' -01' 89° 21°01' +01' 89° 21°01' +02' 90° 21°01' +03' 90° 21°01' +04' 90° 21°00' +05' 91° 20°59' +06' 91° 1

2 20°59' -01' 88° 21°01' +00' 88° 21°03' +01' 89° 21°04' +02' 89° 21°05' +03' 89° 21°05' +05' 90° 21°05' +06' 90° 2

3 20°58' -01' 87° 21°01' 00' 87° 21°04' +01' 88° 21°06' +02' 88° 21°08' +03' 88° 21°10' +04' 89° 21°11' +05' 89° 3

4 20°57' -02' 86° 21°01' -01' 86° 21°05' +00' 86° 21°08' +02' 87° 21°12' +03' 87° 21°14' +04' 88° 21°16' +05' 88° 4

5 20°55' -02' 85° 21°00' -01' 85° 21°05' +00' 85° 21°10' +01' 86° 21°14' +02' 86° 21°18' +03' 87° 21°21' +05' 87° 5

6 20°53' -03' 84° 20°59' -01' 84° 21°05' 00' 84° 21°11' +01' 85° 21°16' +02' 85° 21°21' +03' 86° 21°26' +04' 86° 6

7 20°50' -03' 83° 20°58' -02' 83° 21°05' -01' 83° 21°12' +00' 84° 21°18' +01' 84° 21°24' +03' 84° 21°30' +04' 85° 7

8 20°47' -03' 81° 20°56' -02' 82° 21°04' -01' 82° 21°12' 00' 83° 21°20' +01' 83° 21°27' +02' 83° 21°34' +03' 84° 8

9 20°44' -04' 80° 20°54' -03' 81° 21°03' -02' 81° 21°12' 00' 82° 21°21' +01' 82° 21°29' +02' 82° 21°37' +03' 83° 9

10 20°40' -04' 79° 20°51' -03' 80° 21°01' -02' 80° 21°12' -01' 80° 21°21' +00' 81° 21°31' +01' 81° 21°40' +02' 82° 10

11 20°36' -05' 78° 20°48' -03' 79° 20°59' -02' 79° 21°11' -01' 79° 21°22' 00' 80° 21°32' +01' 80° 21°42' +02' 81° 11

12 20°31' -05' 77° 20°44' -04' 78° 20°57' -03' 78° 21°09' -02' 78° 21°21' -01' 79° 21°33' +01' 79° 21°44' +02' 79° 12

13 20°26' -05' 76° 20°40' -04' 76° 20°54' -03' 77° 21°08' -02' 77° 21°21' -01' 78° 21°34' +00' 78° 21°46' +01' 78° 13

14 20°21' -06' 75° 20°36' -05' 75° 20°51' -04' 76° 21°06' -03' 76° 21°20' -01' 77° 21°34' 00' 77° 21°47' +01' 77° 14

15 20°15' -06' 74° 20°32' -05' 74° 20°48' -04' 75° 21°03' -03' 75° 21°18' -02' 75° 21°33' -01' 76° 21°48' +00' 76° 15

16 20°09' -07' 73° 20°26' -05' 73° 20°44' -04' 74° 21°00' -03' 74° 21°17' -02' 74° 21°33' -01' 75° 21°48' 00' 75° 16

17 20°03' -07' 72° 20°21' -06' 72° 20°39' -05' 73° 20°57' -04' 73° 21°14' -03' 73° 21°31' -02' 74° 21°48' 00' 74° 17

18 19°56' -07' 71° 20°15' -06' 71° 20°34' -05' 72° 20°53' -04' 72° 21°12' -03' 72° 21°30' -02' 73° 21°48' -01' 73° 18

19 19°48' -08' 70° 20°09' -07' 70° 20°29' -06' 70° 20°49' -05' 71° 21°09' -03' 71° 21°28' -02' 72° 21°47' -01' 72° 19

20 19°41' -08' 69° 20°02' -07' 69° 20°24' -06' 69° 20°45' -05' 70° 21°05' -04' 70° 21°26' -03' 70° 21°45' -02' 71° 20

21 19°33' -08' 68° 19°55' -07' 68° 20°18' -06' 68° 20°40' -05' 69° 21°01' -04' 69° 21°23' -03' 69° 21°44' -02' 70° 21

22 19°24' -09' 67° 19°48' -08' 67° 20°11' -07' 67° 20°34' -06' 68° 20°57' -05' 68° 21°19' -04' 68° 21°41' -03' 69° 22

23 19°16' -09' 66° 19°40' -08' 66° 20°05' -07' 66° 20°29' -06' 67° 20°53' -05' 67° 21°16' -04' 67° 21°39' -03' 68° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

68° 292° LHA Latitude SAME as Declination 68° 292° LHA

69° 291° LHA Latitude SAME as Declination 69° 291° LHA

69° 291° LHA Latitude SAME as Declination 69° 291° LHA

68° 292° LHA Latitude SAME as Declination 68° 292° LHA

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Page 38: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 20°00' 00' 90° 20°00' +01' 90° 19°59' +02' 91° 19°58' +03' 91° 19°57' +04' 91° 19°55' +05' 92° 19°53' +06' 92° 0

1 20°00' -01' 89° 20°01' +01' 89° 20°01' +02' 90° 20°01' +03' 90° 20°01' +04' 90° 20°01' +05' 91° 20°00' +06' 91° 1

2 19°59' -01' 88° 20°01' +00' 88° 20°03' +01' 89° 20°04' +02' 89° 20°05' +04' 89° 20°06' +05' 90° 20°06' +06' 90° 2

3 19°58' -01' 87° 20°01' 00' 87° 20°04' +01' 88° 20°07' +02' 88° 20°09' +03' 88° 20°10' +04' 89° 20°11' +05' 89° 3

4 19°57' -02' 86° 20°01' -01' 86° 20°05' +01' 86° 20°09' +02' 87° 20°12' +03' 87° 20°14' +04' 88° 20°17' +05' 88° 4

5 19°55' -02' 85° 20°01' -01' 85° 20°06' +00' 85° 20°10' +01' 86° 20°14' +02' 86° 20°18' +03' 87° 20°22' +05' 87° 5

6 19°53' -02' 84° 20°00' -01' 84° 20°06' 00' 84° 20°11' +01' 85° 20°17' +02' 85° 20°22' +03' 85° 20°26' +04' 86° 6

7 19°51' -03' 83° 19°58' -02' 83° 20°05' -01' 83° 20°12' +00' 84° 20°19' +02' 84° 20°25' +03' 84° 20°31' +04' 85° 7

8 19°48' -03' 81° 19°57' -02' 82° 20°05' -01' 82° 20°13' +00' 83° 20°20' +01' 83° 20°28' +02' 83° 20°34' +03' 84° 8

9 19°45' -04' 80° 19°54' -03' 81° 20°04' -01' 81° 20°13' 00' 82° 20°22' +01' 82° 20°30' +02' 82° 20°38' +03' 83° 9

10 19°41' -04' 79° 19°52' -03' 80° 20°02' -02' 80° 20°13' -01' 80° 20°22' +00' 81° 20°32' +02' 81° 20°41' +03' 82° 10

11 19°37' -04' 78° 19°49' -03' 79° 20°01' -02' 79° 20°12' -01' 79° 20°23' +00' 80° 20°33' +01' 80° 20°43' +02' 80° 11

12 19°33' -05' 77° 19°46' -04' 78° 19°58' -03' 78° 20°11' -01' 78° 20°23' 00' 79° 20°34' +01' 79° 20°46' +02' 79° 12

13 19°28' -05' 76° 19°42' -04' 77° 19°56' -03' 77° 20°09' -02' 77° 20°22' -01' 78° 20°35' +00' 78° 20°47' +01' 78° 13

14 19°23' -05' 75° 19°38' -04' 75° 19°53' -03' 76° 20°07' -02' 76° 20°22' -01' 77° 20°35' 00' 77° 20°49' +01' 77° 14

15 19°17' -06' 74° 19°34' -05' 74° 19°50' -04' 75° 20°05' -03' 75° 20°20' -02' 75° 20°35' 00' 76° 20°50' +01' 76° 15

16 19°12' -06' 73° 19°29' -05' 73° 19°46' -04' 74° 20°03' -03' 74° 20°19' -02' 74° 20°35' -01' 75° 20°50' +00' 75° 16

17 19°05' -07' 72° 19°24' -05' 72° 19°42' -04' 73° 20°00' -03' 73° 20°17' -02' 73° 20°34' -01' 74° 20°51' 00' 74° 17

18 18°59' -07' 71° 19°18' -06' 71° 19°38' -05' 72° 19°56' -04' 72° 20°15' -03' 72° 20°33' -02' 73° 20°51' -01' 73° 18

19 18°52' -07' 70° 19°13' -06' 70° 19°33' -05' 71° 19°53' -04' 71° 20°12' -03' 71° 20°31' -02' 72° 20°50' -01' 72° 19

20 18°45' -08' 69° 19°06' -07' 69° 19°28' -06' 69° 19°48' -05' 70° 20°09' -03' 70° 20°29' -02' 70° 20°49' -01' 71° 20

21 18°37' -08' 68° 19°00' -07' 68° 19°22' -06' 68° 19°44' -05' 69° 20°06' -04' 69° 20°27' -03' 69° 20°48' -02' 70° 21

22 18°29' -08' 67° 18°53' -07' 67° 19°16' -06' 67° 19°39' -05' 68° 20°02' -04' 68° 20°24' -03' 68° 20°46' -02' 69° 22

23 18°21' -09' 66° 18°46' -08' 66° 19°10' -07' 66° 19°34' -06' 67° 19°57' -05' 67° 20°21' -04' 67° 20°44' -03' 68° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 19°00' 00' 90° 19°00' +01' 90° 18°59' +02' 91° 18°58' +03' 91° 18°57' +04' 91° 18°55' +05' 92° 18°54' +06' 92° 0

1 19°00' -01' 89° 19°01' +01' 89° 19°01' +02' 90° 19°02' +03' 90° 19°01' +04' 90° 19°01' +05' 91° 19°00' +06' 91° 1

2 18°59' -01' 88° 19°01' +00' 88° 19°03' +01' 89° 19°04' +02' 89° 19°05' +04' 89° 19°06' +05' 90° 19°06' +06' 90° 2

3 18°58' -01' 87° 19°02' 00' 87° 19°04' +01' 88° 19°07' +02' 88° 19°09' +03' 88° 19°10' +04' 89° 19°12' +05' 89° 3

4 18°57' -02' 86° 19°01' -01' 86° 19°05' +01' 86° 19°09' +02' 87° 19°12' +03' 87° 19°15' +04' 87° 19°17' +05' 88° 4

5 18°55' -02' 85° 19°01' -01' 85° 19°06' +00' 85° 19°10' +01' 86° 19°15' +02' 86° 19°19' +04' 86° 19°22' +05' 87° 5

6 18°54' -02' 84° 19°00' -01' 84° 19°06' 00' 84° 19°12' +01' 85° 19°17' +02' 85° 19°22' +03' 85° 19°27' +04' 86° 6

7 18°51' -03' 83° 18°59' -02' 83° 19°06' 00' 83° 19°13' +01' 84° 19°19' +02' 84° 19°25' +03' 84° 19°31' +04' 85° 7

8 18°48' -03' 82° 18°57' -02' 82° 19°05' -01' 82° 19°13' +00' 83° 19°21' +01' 83° 19°28' +02' 83° 19°35' +04' 84° 8

9 18°45' -03' 80° 18°55' -02' 81° 19°05' -01' 81° 19°14' 00' 82° 19°22' +01' 82° 19°31' +02' 82° 19°39' +03' 83° 9

10 18°42' -04' 79° 18°53' -03' 80° 19°03' -02' 80° 19°13' 00' 80° 19°23' +01' 81° 19°33' +02' 81° 19°42' +03' 81° 10

11 18°38' -04' 78° 18°50' -03' 79° 19°02' -02' 79° 19°13' -01' 79° 19°24' +00' 80° 19°34' +01' 80° 19°45' +02' 80° 11

12 18°34' -04' 77° 18°47' -03' 78° 19°00' -02' 78° 19°12' -01' 78° 19°24' 00' 79° 19°36' +01' 79° 19°47' +02' 79° 12

13 18°30' -05' 76° 18°44' -04' 77° 18°58' -03' 77° 19°11' -02' 77° 19°24' -01' 78° 19°37' +01' 78° 19°49' +02' 78° 13

14 18°25' -05' 75° 18°40' -04' 76° 18°55' -03' 76° 19°09' -02' 76° 19°23' -01' 77° 19°37' +00' 77° 19°51' +01' 77° 14

15 18°20' -05' 74° 18°36' -04' 74° 18°52' -03' 75° 19°07' -02' 75° 19°23' -01' 75° 19°37' 00' 76° 19°52' +01' 76° 15

16 18°14' -06' 73° 18°32' -05' 73° 18°48' -04' 74° 19°05' -03' 74° 19°21' -02' 74° 19°37' -01' 75° 19°53' +01' 75° 16

17 18°08' -06' 72° 18°27' -05' 72° 18°45' -04' 73° 19°02' -03' 73° 19°20' -02' 73° 19°37' -01' 74° 19°53' +00' 74° 17

18 18°02' -07' 71° 18°22' -05' 71° 18°41' -04' 72° 18°59' -03' 72° 19°18' -02' 72° 19°36' -01' 73° 19°53' 00' 73° 18

19 17°56' -07' 70° 18°16' -06' 70° 18°36' -05' 71° 18°56' -04' 71° 19°15' -03' 71° 19°34' -02' 72° 19°53' -01' 72° 19

20 17°49' -07' 69° 18°10' -06' 69° 18°31' -05' 70° 18°52' -04' 70° 19°13' -03' 70° 19°33' -02' 71° 19°53' -01' 71° 20

21 17°42' -08' 68° 18°04' -07' 68° 18°26' -05' 69° 18°48' -04' 69° 19°10' -03' 69° 19°31' -02' 69° 19°52' -01' 70° 21

22 17°34' -08' 67° 17°58' -07' 67° 18°21' -06' 67° 18°44' -05' 68° 19°06' -04' 68° 19°28' -03' 68° 19°50' -02' 69° 22

23 17°26' -08' 66° 17°51' -07' 66° 18°15' -06' 66° 18°39' -05' 67° 19°02' -04' 67° 19°26' -03' 67° 19°49' -02' 68° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

71° 289° LHA Latitude SAME as Declination 71° 289° LHA

70° 290° LHA Latitude SAME as Declination 70° 290° LHA

70° 290° LHA Latitude SAME as Declination 70° 290° LHA

71° 289° LHA Latitude SAME as Declination 71° 289° LHA

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Page 39: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 18°00' 00' 90° 18°00' +01' 90° 17°59' +02' 91° 17°58' +03' 91° 17°57' +04' 91° 17°56' +05' 92° 17°54' +06' 92° 0

1 18°00' -01' 89° 18°01' +01' 89° 18°01' +02' 90° 18°02' +03' 90° 18°02' +04' 90° 18°01' +05' 91° 18°00' +06' 91° 1

2 17°59' -01' 88° 18°01' +00' 88° 18°03' +01' 89° 18°04' +02' 89° 18°05' +04' 89° 18°06' +05' 90° 18°06' +06' 90° 2

3 17°58' -01' 87° 18°02' 00' 87° 18°04' +01' 87° 18°07' +02' 88° 18°09' +03' 88° 18°11' +04' 88° 18°12' +05' 89° 3

4 17°57' -02' 86° 18°02' 00' 86° 18°05' +01' 86° 18°09' +02' 87° 18°12' +03' 87° 18°15' +04' 87° 18°18' +05' 88° 4

5 17°56' -02' 85° 18°01' -01' 85° 18°06' +00' 85° 18°11' +01' 86° 18°15' +03' 86° 18°19' +04' 86° 18°23' +05' 87° 5

6 17°54' -02' 84° 18°00' -01' 84° 18°06' 00' 84° 18°12' +01' 85° 18°18' +02' 85° 18°23' +03' 85° 18°27' +04' 86° 6

7 17°52' -03' 83° 17°59' -01' 83° 18°06' 00' 83° 18°13' +01' 84° 18°20' +02' 84° 18°26' +03' 84° 18°32' +04' 85° 7

8 17°49' -03' 82° 17°58' -02' 82° 18°06' -01' 82° 18°14' +00' 83° 18°22' +01' 83° 18°29' +03' 83° 18°36' +04' 84° 8

9 17°46' -03' 81° 17°56' -02' 81° 18°05' -01' 81° 18°14' +00' 82° 18°23' +01' 82° 18°31' +02' 82° 18°39' +03' 82° 9

10 17°43' -04' 79° 17°54' -02' 80° 18°04' -01' 80° 18°14' 00' 80° 18°24' +01' 81° 18°34' +02' 81° 18°43' +03' 81° 10

11 17°39' -04' 78° 17°51' -03' 79° 18°03' -02' 79° 18°14' -01' 79° 18°25' +00' 80° 18°35' +02' 80° 18°46' +03' 80° 11

12 17°36' -04' 77° 17°49' -03' 78° 18°01' -02' 78° 18°13' -01' 78° 18°25' +00' 79° 18°37' +01' 79° 18°48' +02' 79° 12

13 17°31' -05' 76° 17°45' -03' 77° 17°59' -02' 77° 18°12' -01' 77° 18°25' 00' 78° 18°38' +01' 78° 18°51' +02' 78° 13

14 17°27' -05' 75° 17°42' -04' 76° 17°57' -03' 76° 18°11' -02' 76° 18°25' -01' 77° 18°39' +00' 77° 18°52' +02' 77° 14

15 17°22' -05' 74° 17°38' -04' 75° 17°54' -03' 75° 18°09' -02' 75° 18°25' -01' 76° 18°39' +00' 76° 18°54' +01' 76° 15

16 17°17' -06' 73° 17°34' -04' 74° 17°51' -03' 74° 18°07' -02' 74° 18°24' -01' 74° 18°40' 00' 75° 18°55' +01' 75° 16

17 17°11' -06' 72° 17°30' -05' 72° 17°47' -04' 73° 18°05' -03' 73° 18°22' -02' 73° 18°39' -01' 74° 18°56' +00' 74° 17

18 17°05' -06' 71° 17°25' -05' 71° 17°44' -04' 72° 18°02' -03' 72° 18°21' -02' 72° 18°39' -01' 73° 18°56' +00' 73° 18

19 16°59' -06' 70° 17°20' -05' 70° 17°40' -04' 71° 17°59' -03' 71° 18°19' -02' 71° 18°38' -01' 72° 18°57' 00' 72° 19

20 16°53' -07' 69° 17°14' -06' 69° 17°35' -05' 70° 17°56' -04' 70° 18°16' -03' 70° 18°36' -02' 71° 18°56' -01' 71° 20

21 16°46' -07' 68° 17°08' -06' 68° 17°30' -05' 69° 17°52' -04' 69° 18°14' -03' 69° 18°35' -02' 70° 18°56' -01' 70° 21

22 16°39' -07' 67° 17°02' -06' 67° 17°25' -05' 68° 17°48' -04' 68° 18°11' -03' 68° 18°33' -02' 68° 18°55' -01' 69° 22

23 16°32' -08' 66° 16°56' -07' 66° 17°20' -06' 67° 17°44' -05' 67° 18°07' -04' 67° 18°30' -03' 67° 18°53' -02' 68° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 17°00' 00' 90° 17°00' +01' 90° 16°59' +02' 91° 16°59' +03' 91° 16°57' +04' 91° 16°56' +05' 92° 16°54' +06' 92° 0

1 17°00' 00' 89° 17°01' +01' 89° 17°01' +02' 90° 17°02' +03' 90° 17°02' +04' 90° 17°01' +05' 90° 17°01' +06' 91° 1

2 16°59' -01' 88° 17°01' +00' 88° 17°03' +01' 89° 17°04' +02' 89° 17°06' +04' 89° 17°06' +05' 89° 17°07' +06' 90° 2

3 16°59' -01' 87° 17°02' 00' 87° 17°04' +01' 87° 17°07' +02' 88° 17°09' +03' 88° 17°11' +04' 88° 17°12' +05' 89° 3

4 16°57' -01' 86° 17°02' 00' 86° 17°06' +01' 86° 17°09' +02' 87° 17°12' +03' 87° 17°15' +04' 87° 17°18' +05' 88° 4

5 16°56' -02' 85° 17°01' -01' 85° 17°06' +00' 85° 17°11' +02' 86° 17°15' +03' 86° 17°19' +04' 86° 17°23' +05' 87° 5

6 16°54' -02' 84° 17°01' -01' 84° 17°07' +00' 84° 17°12' +01' 85° 17°18' +02' 85° 17°23' +03' 85° 17°28' +04' 86° 6

7 16°52' -02' 83° 17°00' -01' 83° 17°07' 00' 83° 17°14' +01' 84° 17°20' +02' 84° 17°26' +03' 84° 17°32' +04' 85° 7

8 16°50' -03' 82° 16°58' -02' 82° 17°07' -01' 82° 17°15' +01' 83° 17°22' +02' 83° 17°29' +03' 83° 17°36' +04' 83° 8

9 16°47' -03' 81° 16°57' -02' 81° 17°06' -01' 81° 17°15' +00' 82° 17°24' +01' 82° 17°32' +02' 82° 17°40' +03' 82° 9

10 16°44' -03' 80° 16°55' -02' 80° 17°05' -01' 80° 17°15' 00' 80° 17°25' +01' 81° 17°35' +02' 81° 17°44' +03' 81° 10

11 16°41' -04' 79° 16°53' -03' 79° 17°04' -02' 79° 17°15' 00' 79° 17°26' +01' 80° 17°37' +02' 80° 17°47' +03' 80° 11

12 16°37' -04' 77° 16°50' -03' 78° 17°02' -02' 78° 17°15' -01' 78° 17°27' +00' 79° 17°38' +01' 79° 17°50' +02' 79° 12

13 16°33' -04' 76° 16°47' -03' 77° 17°01' -02' 77° 17°14' -01' 77° 17°27' 00' 78° 17°40' +01' 78° 17°52' +02' 78° 13

14 16°29' -05' 75° 16°44' -04' 76° 16°59' -02' 76° 17°13' -01' 76° 17°27' 00' 77° 17°41' +01' 77° 17°54' +02' 77° 14

15 16°24' -05' 74° 16°40' -04' 75° 16°56' -03' 75° 17°11' -02' 75° 17°27' -01' 76° 17°41' +00' 76° 17°56' +01' 76° 15

16 16°19' -05' 73° 16°36' -04' 74° 16°53' -03' 74° 17°10' -02' 74° 17°26' -01' 74° 17°42' +00' 75° 17°57' +01' 75° 16

17 16°14' -05' 72° 16°32' -04' 73° 16°50' -03' 73° 17°08' -02' 73° 17°25' -01' 73° 17°42' 00' 74° 17°59' +01' 74° 17

18 16°09' -06' 71° 16°28' -05' 72° 16°47' -04' 72° 17°05' -03' 72° 17°24' -02' 72° 17°42' -01' 73° 17°59' +00' 73° 18

19 16°03' -06' 70° 16°23' -05' 70° 16°43' -04' 71° 17°03' -03' 71° 17°22' -02' 71° 17°41' -01' 72° 18°00' +00' 72° 19

20 15°57' -06' 69° 16°18' -05' 69° 16°39' -04' 70° 17°00' -03' 70° 17°20' -02' 70° 17°40' -01' 71° 18°00' 00' 71° 20

21 15°50' -07' 68° 16°13' -06' 68° 16°35' -05' 69° 16°56' -04' 69° 17°18' -03' 69° 17°39' -02' 70° 18°00' -01' 70° 21

22 15°44' -07' 67° 16°07' -06' 67° 16°30' -05' 68° 16°53' -04' 68° 17°15' -03' 68° 17°37' -02' 68° 17°59' -01' 69° 22

23 15°37' -07' 66° 16°01' -06' 66° 16°25' -05' 67° 16°49' -04' 67° 17°12' -03' 67° 17°35' -02' 67° 17°58' -01' 68° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

72° 288° LHA Latitude SAME as Declination 72° 288° LHA

72° 288° LHA Latitude SAME as Declination 72° 288° LHA

73° 287° LHA Latitude SAME as Declination 73° 287° LHA

73° 287° LHA Latitude SAME as Declination 73° 287° LHA

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Page 40: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 16°00' 00' 90° 16°00' +01' 90° 15°59' +02' 91° 15°59' +03' 91° 15°58' +04' 91° 15°56' +05' 91° 15°55' +06' 92° 0

1 16°00' 00' 89° 16°01' +01' 89° 16°01' +02' 90° 16°02' +03' 90° 16°02' +04' 90° 16°02' +05' 90° 16°01' +06' 91° 1

2 15°59' -01' 88° 16°01' +00' 88° 16°03' +01' 88° 16°05' +03' 89° 16°06' +04' 89° 16°07' +05' 89° 16°07' +06' 90° 2

3 15°59' -01' 87° 16°02' +00' 87° 16°05' +01' 87° 16°07' +02' 88° 16°09' +03' 88° 16°11' +04' 88° 16°13' +05' 89° 3

4 15°58' -01' 86° 16°02' 00' 86° 16°06' +01' 86° 16°09' +02' 87° 16°13' +03' 87° 16°16' +04' 87° 16°18' +05' 88° 4

5 15°56' -02' 85° 16°02' -01' 85° 16°07' +01' 85° 16°11' +02' 86° 16°16' +03' 86° 16°20' +04' 86° 16°23' +05' 87° 5

6 15°55' -02' 84° 16°01' -01' 84° 16°07' +00' 84° 16°13' +01' 85° 16°18' +02' 85° 16°23' +03' 85° 16°28' +05' 85° 6

7 15°53' -02' 83° 16°00' -01' 83° 16°07' 00' 83° 16°14' +01' 84° 16°21' +02' 84° 16°27' +03' 84° 16°33' +04' 84° 7

8 15°50' -03' 82° 15°59' -01' 82° 16°07' 00' 82° 16°15' +01' 83° 16°23' +02' 83° 16°30' +03' 83° 16°37' +04' 83° 8

9 15°48' -03' 81° 15°57' -02' 81° 16°07' -01' 81° 16°16' +00' 81° 16°25' +01' 82° 16°33' +03' 82° 16°41' +04' 82° 9

10 15°45' -03' 80° 15°56' -02' 80° 16°06' -01' 80° 16°16' +00' 80° 16°26' +01' 81° 16°36' +02' 81° 16°45' +03' 81° 10

11 15°42' -03' 79° 15°54' -02' 79° 16°05' -01' 79° 16°16' 00' 79° 16°27' +01' 80° 16°38' +02' 80° 16°48' +03' 80° 11

12 15°38' -04' 78° 15°51' -03' 78° 16°04' -02' 78° 16°16' -01' 78° 16°28' +01' 79° 16°40' +02' 79° 16°51' +03' 79° 12

13 15°35' -04' 76° 15°49' -03' 77° 16°02' -02' 77° 16°16' -01' 77° 16°29' +00' 78° 16°41' +01' 78° 16°54' +02' 78° 13

14 15°31' -04' 75° 15°46' -03' 76° 16°00' -02' 76° 16°15' -01' 76° 16°29' 00' 77° 16°43' +01' 77° 16°56' +02' 77° 14

15 15°26' -05' 74° 15°42' -04' 75° 15°58' -02' 75° 16°14' -01' 75° 16°29' 00' 76° 16°44' +01' 76° 16°58' +02' 76° 15

16 15°22' -05' 73° 15°39' -04' 74° 15°56' -03' 74° 16°12' -02' 74° 16°28' -01' 74° 16°44' +00' 75° 17°00' +01' 75° 16

17 15°17' -05' 72° 15°35' -04' 73° 15°53' -03' 73° 16°10' -02' 73° 16°28' -01' 73° 16°45' +00' 74° 17°01' +01' 74° 17

18 15°12' -05' 71° 15°31' -04' 72° 15°50' -03' 72° 16°08' -02' 72° 16°27' -01' 72° 16°45' 00' 73° 17°02' +01' 73° 18

19 15°06' -06' 70° 15°27' -05' 71° 15°46' -04' 71° 16°06' -03' 71° 16°25' -02' 71° 16°44' -01' 72° 17°03' +00' 72° 19

20 15°01' -06' 69° 15°22' -05' 70° 15°43' -04' 70° 16°03' -03' 70° 16°24' -02' 70° 16°44' -01' 71° 17°04' +00' 71° 20

21 14°55' -06' 68° 15°17' -05' 68° 15°39' -04' 69° 16°00' -03' 69° 16°22' -02' 69° 16°43' -01' 70° 17°04' 00' 70° 21

22 14°48' -07' 67° 15°12' -06' 67° 15°34' -05' 68° 15°57' -04' 68° 16°19' -03' 68° 16°42' -02' 69° 17°03' -01' 69° 22

23 14°42' -07' 66° 15°06' -06' 66° 15°30' -05' 67° 15°54' -04' 67° 16°17' -03' 67° 16°40' -02' 67° 17°03' -01' 68° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 15°00' 00' 90° 15°00' +01' 90° 14°59' +02' 91° 14°59' +03' 91° 14°58' +04' 91° 14°56' +05' 91° 14°55' +06' 92° 0

1 15°00' 00' 89° 15°01' +01' 89° 15°01' +02' 90° 15°02' +03' 90° 15°02' +04' 90° 15°02' +05' 90° 15°01' +06' 91° 1

2 14°59' -01' 88° 15°01' +00' 88° 15°03' +01' 88° 15°05' +03' 89° 15°06' +04' 89° 15°07' +05' 89° 15°07' +06' 90° 2

3 14°59' -01' 87° 15°02' +00' 87° 15°05' +01' 87° 15°07' +02' 88° 15°09' +03' 88° 15°11' +04' 88° 15°13' +06' 89° 3

4 14°58' -01' 86° 15°02' 00' 86° 15°06' +01' 86° 15°09' +02' 87° 15°13' +03' 87° 15°16' +04' 87° 15°19' +05' 87° 4

5 14°56' -02' 85° 15°02' 00' 85° 15°07' +01' 85° 15°11' +02' 86° 15°16' +03' 86° 15°20' +04' 86° 15°24' +05' 86° 5

6 14°55' -02' 84° 15°01' -01' 84° 15°07' +00' 84° 15°13' +01' 85° 15°19' +02' 85° 15°24' +04' 85° 15°29' +05' 85° 6

7 14°53' -02' 83° 15°01' -01' 83° 15°08' +00' 83° 15°15' +01' 84° 15°21' +02' 84° 15°27' +03' 84° 15°34' +04' 84° 7

8 14°51' -02' 82° 15°00' -01' 82° 15°08' 00' 82° 15°16' +01' 83° 15°23' +02' 83° 15°31' +03' 83° 15°38' +04' 83° 8

9 14°49' -03' 81° 14°58' -02' 81° 15°08' -01' 81° 15°17' +01' 81° 15°25' +02' 82° 15°34' +03' 82° 15°42' +04' 82° 9

10 14°46' -03' 80° 14°57' -02' 80° 15°07' -01' 80° 15°17' +00' 80° 15°27' +01' 81° 15°36' +02' 81° 15°46' +03' 81° 10

11 14°43' -03' 79° 14°55' -02' 79° 15°06' -01' 79° 15°17' 00' 79° 15°28' +01' 80° 15°39' +02' 80° 15°49' +03' 80° 11

12 14°40' -03' 78° 14°53' -02' 78° 15°05' -01' 78° 15°17' 00' 78° 15°29' +01' 79° 15°41' +02' 79° 15°52' +03' 79° 12

13 14°36' -04' 77° 14°50' -03' 77° 15°04' -02' 77° 15°17' -01' 77° 15°30' +00' 78° 15°43' +02' 78° 15°55' +03' 78° 13

14 14°33' -04' 76° 14°48' -03' 76° 15°02' -02' 76° 15°16' -01' 76° 15°31' +00' 77° 15°44' +01' 77° 15°58' +02' 77° 14

15 14°29' -04' 74° 14°45' -03' 75° 15°00' -02' 75° 15°16' -01' 75° 15°31' 00' 76° 15°46' +01' 76° 16°00' +02' 76° 15

16 14°24' -05' 73° 14°41' -04' 74° 14°58' -02' 74° 15°14' -01' 74° 15°31' 00' 74° 15°47' +01' 75° 16°02' +02' 75° 16

17 14°20' -05' 72° 14°38' -04' 73° 14°56' -03' 73° 15°13' -02' 73° 15°30' -01' 73° 15°47' +00' 74° 16°04' +01' 74° 17

18 14°15' -05' 71° 14°34' -04' 72° 14°53' -03' 72° 15°11' -02' 72° 15°30' -01' 72° 15°48' +00' 73° 16°05' +01' 73° 18

19 14°10' -05' 70° 14°30' -04' 71° 14°50' -03' 71° 15°09' -02' 71° 15°29' -01' 71° 15°48' 00' 72° 16°06' +01' 72° 19

20 14°05' -06' 69° 14°26' -05' 70° 14°46' -04' 70° 15°07' -03' 70° 15°27' -02' 70° 15°47' -01' 71° 16°07' +00' 71° 20

21 13°59' -06' 68° 14°21' -05' 69° 14°43' -04' 69° 15°04' -03' 69° 15°26' -02' 69° 15°47' -01' 70° 16°08' +00' 70° 21

22 13°53' -06' 67° 14°16' -05' 68° 14°39' -04' 68° 15°02' -03' 68° 15°24' -02' 68° 15°46' -01' 69° 16°08' 00' 69° 22

23 13°47' -06' 66° 14°11' -05' 67° 14°35' -04' 67° 14°58' -03' 67° 15°22' -02' 67° 15°45' -01' 67° 16°08' 00' 68° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

74° 286° LHA Latitude SAME as Declination 74° 286° LHA

75° 285° LHA Latitude SAME as Declination 75° 285° LHA

75° 285° LHA Latitude SAME as Declination 75° 285° LHA

74° 286° LHA Latitude SAME as Declination 74° 286° LHA

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Page 41: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 14°00' 00' 90° 14°00' +01' 90° 13°59' +02' 90° 13°59' +03' 91° 13°58' +04' 91° 13°57' +05' 91° 13°55' +06' 91° 0

1 14°00' 00' 89° 14°01' +01' 89° 14°02' +02' 89° 14°02' +03' 90° 14°02' +04' 90° 14°02' +05' 90° 14°02' +06' 90° 1

2 13°59' -01' 88° 14°02' +00' 88° 14°03' +02' 88° 14°05' +03' 89° 14°06' +04' 89° 14°07' +05' 89° 14°08' +06' 89° 2

3 13°59' -01' 87° 14°02' +00' 87° 14°05' +01' 87° 14°07' +02' 88° 14°10' +03' 88° 14°12' +04' 88° 14°14' +06' 88° 3

4 13°58' -01' 86° 14°02' 00' 86° 14°06' +01' 86° 14°10' +02' 87° 14°13' +03' 87° 14°16' +04' 87° 14°19' +05' 87° 4

5 13°57' -01' 85° 14°02' 00' 85° 14°07' +01' 85° 14°12' +02' 86° 14°16' +03' 86° 14°20' +04' 86° 14°24' +05' 86° 5

6 13°55' -02' 84° 14°02' -01' 84° 14°08' +00' 84° 14°14' +02' 85° 14°19' +03' 85° 14°24' +04' 85° 14°29' +05' 85° 6

7 13°54' -02' 83° 14°01' -01' 83° 14°08' +00' 83° 14°15' +01' 84° 14°22' +02' 84° 14°28' +03' 84° 14°34' +04' 84° 7

8 13°52' -02' 82° 14°00' -01' 82° 14°08' 00' 82° 14°16' +01' 83° 14°24' +02' 83° 14°31' +03' 83° 14°39' +04' 83° 8

9 13°49' -02' 81° 13°59' -01' 81° 14°08' 00' 81° 14°17' +01' 81° 14°26' +02' 82° 14°35' +03' 82° 14°43' +04' 82° 9

10 13°47' -03' 80° 13°58' -02' 80° 14°08' -01' 80° 14°18' +00' 80° 14°28' +02' 81° 14°37' +03' 81° 14°47' +04' 81° 10

11 13°44' -03' 79° 13°56' -02' 79° 14°07' -01' 79° 14°18' +00' 79° 14°29' +01' 80° 14°40' +02' 80° 14°50' +03' 80° 11

12 13°41' -03' 78° 13°54' -02' 78° 14°06' -01' 78° 14°19' 00' 78° 14°31' +01' 79° 14°42' +02' 79° 14°54' +03' 79° 12

13 13°38' -03' 77° 13°52' -02' 77° 14°05' -01' 77° 14°19' 00' 77° 14°32' +01' 78° 14°44' +02' 78° 14°57' +03' 78° 13

14 13°35' -04' 76° 13°49' -03' 76° 14°04' -02' 76° 14°18' -01' 76° 14°32' +00' 77° 14°46' +01' 77° 15°00' +03' 77° 14

15 13°31' -04' 75° 13°47' -03' 75° 14°02' -02' 75° 14°18' -01' 75° 14°33' +00' 76° 14°48' +01' 76° 15°02' +02' 76° 15

16 13°27' -04' 74° 13°44' -03' 74° 14°00' -02' 74° 14°17' -01' 74° 14°33' 00' 74° 14°49' +01' 75° 15°05' +02' 75° 16

17 13°23' -04' 73° 13°41' -03' 73° 13°58' -02' 73° 14°16' -01' 73° 14°33' 00' 73° 14°50' +01' 74° 15°06' +02' 74° 17

18 13°18' -05' 71° 13°37' -04' 72° 13°56' -03' 72° 14°14' -02' 72° 14°32' -01' 72° 14°50' +00' 73° 15°08' +01' 73° 18

19 13°13' -05' 70° 13°33' -04' 71° 13°53' -03' 71° 14°13' -02' 71° 14°32' -01' 71° 14°51' +00' 72° 15°10' +01' 72° 19

20 13°08' -05' 69° 13°29' -04' 70° 13°50' -03' 70° 14°11' -02' 70° 14°31' -01' 70° 14°51' 00' 71° 15°11' +01' 71° 20

21 13°03' -05' 68° 13°25' -04' 69° 13°47' -03' 69° 14°08' -02' 69° 14°30' -01' 69° 14°51' 00' 70° 15°12' +01' 70° 21

22 12°58' -06' 67° 13°21' -05' 68° 13°43' -04' 68° 14°06' -03' 68° 14°28' -02' 68° 14°50' -01' 69° 15°12' +00' 69° 22

23 12°52' -06' 66° 13°16' -05' 67° 13°40' -04' 67° 14°03' -03' 67° 14°27' -02' 67° 14°50' -01' 68° 15°12' 00' 68° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 13°00' 00' 90° 13°00' +01' 90° 13°00' +02' 90° 12°59' +03' 91° 12°58' +04' 91° 12°57' +05' 91° 12°56' +06' 91° 0

1 13°00' 00' 89° 13°01' +01' 89° 13°02' +02' 89° 13°02' +03' 90° 13°02' +04' 90° 13°02' +05' 90° 13°02' +06' 90° 1

2 13°00' -01' 88° 13°02' +00' 88° 13°03' +02' 88° 13°05' +03' 89° 13°06' +04' 89° 13°07' +05' 89° 13°08' +06' 89° 2

3 12°59' -01' 87° 13°02' +00' 87° 13°05' +01' 87° 13°07' +02' 88° 13°10' +03' 88° 13°12' +05' 88° 13°14' +06' 88° 3

4 12°58' -01' 86° 13°02' 00' 86° 13°06' +01' 86° 13°10' +02' 87° 13°13' +03' 87° 13°17' +04' 87° 13°19' +05' 87° 4

5 12°57' -01' 85° 13°02' 00' 85° 13°07' +01' 85° 13°12' +02' 86° 13°17' +03' 86° 13°21' +04' 86° 13°25' +05' 86° 5

6 12°56' -02' 84° 13°02' -01' 84° 13°08' +01' 84° 13°14' +02' 85° 13°19' +03' 85° 13°25' +04' 85° 13°30' +05' 85° 6

7 12°54' -02' 83° 13°01' -01' 83° 13°09' +00' 83° 13°16' +01' 84° 13°22' +02' 84° 13°29' +04' 84° 13°35' +05' 84° 7

8 12°52' -02' 82° 13°01' -01' 82° 13°09' +00' 82° 13°17' +01' 82° 13°25' +02' 83° 13°32' +03' 83° 13°39' +04' 83° 8

9 12°50' -02' 81° 13°00' -01' 81° 13°09' 00' 81° 13°18' +01' 81° 13°27' +02' 82° 13°35' +03' 82° 13°44' +04' 82° 9

10 12°48' -03' 80° 12°59' -01' 80° 13°09' 00' 80° 13°19' +01' 80° 13°29' +02' 81° 13°38' +03' 81° 13°48' +04' 81° 10

11 12°45' -03' 79° 12°57' -02' 79° 13°08' -01' 79° 13°20' +00' 79° 13°31' +01' 80° 13°41' +03' 80° 13°52' +04' 80° 11

12 12°43' -03' 78° 12°55' -02' 78° 13°08' -01' 78° 13°20' +00' 78° 13°32' +01' 79° 13°44' +02' 79° 13°55' +03' 79° 12

13 12°40' -03' 77° 12°53' -02' 77° 13°07' -01' 77° 13°20' 00' 77° 13°33' +01' 78° 13°46' +02' 78° 13°59' +03' 78° 13

14 12°36' -03' 76° 12°51' -02' 76° 13°06' -01' 76° 13°20' 00' 76° 13°34' +01' 77° 13°48' +02' 77° 14°02' +03' 77° 14

15 12°33' -04' 75° 12°49' -03' 75° 13°04' -02' 75° 13°20' -01' 75° 13°35' +00' 76° 13°50' +01' 76° 14°04' +03' 76° 15

16 12°29' -04' 74° 12°46' -03' 74° 13°03' -02' 74° 13°19' -01' 74° 13°35' +00' 74° 13°51' +01' 75° 14°07' +02' 75° 16

17 12°25' -04' 73° 12°43' -03' 73° 13°01' -02' 73° 13°18' -01' 73° 13°35' 00' 73° 13°52' +01' 74° 14°09' +02' 74° 17

18 12°21' -04' 72° 12°40' -03' 72° 12°59' -02' 72° 13°17' -01' 72° 13°35' 00' 72° 13°53' +01' 73° 14°11' +02' 73° 18

19 12°17' -05' 71° 12°37' -04' 71° 12°56' -03' 71° 13°16' -02' 71° 13°35' -01' 71° 13°54' +00' 72° 14°13' +01' 72° 19

20 12°12' -05' 70° 12°33' -04' 70° 12°54' -03' 70° 13°14' -02' 70° 13°35' -01' 70° 13°55' +00' 71° 14°14' +01' 71° 20

21 12°07' -05' 68° 12°29' -04' 69° 12°51' -03' 69° 13°12' -02' 69° 13°34' -01' 69° 13°55' 00' 70° 14°16' +01' 70° 21

22 12°02' -05' 67° 12°25' -04' 68° 12°48' -03' 68° 13°10' -02' 68° 13°33' -01' 68° 13°55' 00' 69° 14°17' +01' 69° 22

23 11°57' -06' 66° 12°21' -05' 67° 12°45' -04' 67° 13°08' -03' 67° 13°31' -02' 67° 13°54' -01' 68° 14°17' +00' 68° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

77° 283° LHA Latitude SAME as Declination 77° 283° LHA

76° 284° LHA Latitude SAME as Declination 76° 284° LHA

76° 284° LHA Latitude SAME as Declination 76° 284° LHA

77° 283° LHA Latitude SAME as Declination 77° 283° LHA

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Page 42: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 12°00' 00' 90° 12°00' +01' 90° 12°00' +02' 90° 11°59' +03' 91° 11°58' +04' 91° 11°57' +05' 91° 11°56' +06' 91° 0

1 12°00' 00' 89° 12°01' +01' 89° 12°02' +02' 89° 12°02' +03' 90° 12°02' +04' 90° 12°02' +05' 90° 12°02' +06' 90° 1

2 12°00' -01' 88° 12°02' +01' 88° 12°03' +02' 88° 12°05' +03' 89° 12°06' +04' 89° 12°07' +05' 89° 12°08' +06' 89° 2

3 11°59' -01' 87° 12°02' +00' 87° 12°05' +01' 87° 12°08' +02' 88° 12°10' +03' 88° 12°12' +05' 88° 12°14' +06' 88° 3

4 11°58' -01' 86° 12°02' +00' 86° 12°06' +01' 86° 12°10' +02' 87° 12°14' +03' 87° 12°17' +04' 87° 12°20' +05' 87° 4

5 11°57' -01' 85° 12°02' 00' 85° 12°07' +01' 85° 12°12' +02' 86° 12°17' +03' 86° 12°21' +04' 86° 12°25' +05' 86° 5

6 11°56' -01' 84° 12°02' 00' 84° 12°08' +01' 84° 12°14' +02' 85° 12°20' +03' 85° 12°25' +04' 85° 12°30' +05' 85° 6

7 11°55' -02' 83° 12°02' -01' 83° 12°09' +00' 83° 12°16' +02' 83° 12°23' +03' 84° 12°29' +04' 84° 12°35' +05' 84° 7

8 11°53' -02' 82° 12°01' -01' 82° 12°10' +00' 82° 12°18' +01' 82° 12°25' +02' 83° 12°33' +03' 83° 12°40' +04' 83° 8

9 11°51' -02' 81° 12°00' -01' 81° 12°10' +00' 81° 12°19' +01' 81° 12°28' +02' 82° 12°36' +03' 82° 12°45' +04' 82° 9

10 11°49' -02' 80° 11°59' -01' 80° 12°10' 00' 80° 12°20' +01' 80° 12°30' +02' 81° 12°39' +03' 81° 12°49' +04' 81° 10

11 11°47' -03' 79° 11°58' -01' 79° 12°10' 00' 79° 12°21' +01' 79° 12°32' +02' 80° 12°42' +03' 80° 12°53' +04' 80° 11

12 11°44' -03' 78° 11°57' -02' 78° 12°09' -01' 78° 12°21' +00' 78° 12°33' +01' 79° 12°45' +02' 79° 12°57' +04' 79° 12

13 11°41' -03' 77° 11°55' -02' 77° 12°08' -01' 77° 12°22' +00' 77° 12°35' +01' 78° 12°48' +02' 78° 13°00' +03' 78° 13

14 11°38' -03' 76° 11°53' -02' 76° 12°08' -01' 76° 12°22' 00' 76° 12°36' +01' 77° 12°50' +02' 77° 13°03' +03' 77° 14

15 11°35' -03' 75° 11°51' -02' 75° 12°06' -01' 75° 12°22' 00' 75° 12°37' +01' 76° 12°52' +02' 76° 13°06' +03' 76° 15

16 11°32' -04' 74° 11°48' -03' 74° 12°05' -02' 74° 12°21' -01' 74° 12°38' +00' 74° 12°54' +02' 75° 13°09' +03' 75° 16

17 11°28' -04' 73° 11°46' -03' 73° 12°04' -02' 73° 12°21' -01' 73° 12°38' +00' 73° 12°55' +01' 74° 13°12' +02' 74° 17

18 11°24' -04' 72° 11°43' -03' 72° 12°02' -02' 72° 12°20' -01' 72° 12°38' +00' 72° 12°56' +01' 73° 13°14' +02' 73° 18

19 11°20' -04' 71° 11°40' -03' 71° 12°00' -02' 71° 12°19' -01' 71° 12°38' 00' 71° 12°57' +01' 72° 13°16' +02' 72° 19

20 11°16' -04' 70° 11°37' -03' 70° 11°57' -02' 70° 12°18' -01' 70° 12°38' 00' 70° 12°58' +01' 71° 13°18' +02' 71° 20

21 11°12' -05' 69° 11°33' -04' 69° 11°55' -03' 69° 12°16' -02' 69° 12°38' -01' 69° 12°59' +00' 70° 13°20' +01' 70° 21

22 11°07' -05' 68° 11°30' -04' 68° 11°52' -03' 68° 12°15' -02' 68° 12°37' -01' 68° 12°59' +00' 69° 13°21' +01' 69° 22

23 11°02' -05' 67° 11°26' -04' 67° 11°49' -03' 67° 12°13' -02' 67° 12°36' -01' 67° 12°59' 00' 68° 13°22' +01' 68° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 11°00' 00' 90° 11°00' +01' 90° 11°00' +02' 90° 10°59' +03' 91° 10°58' +04' 91° 10°57' +05' 91° 10°56' +06' 91° 0

1 11°00' 00' 89° 11°01' +01' 89° 11°02' +02' 89° 11°02' +03' 90° 11°03' +04' 90° 11°03' +05' 90° 11°03' +06' 90° 1

2 11°00' -01' 88° 11°02' +01' 88° 11°03' +02' 88° 11°05' +03' 89° 11°06' +04' 89° 11°08' +05' 89° 11°09' +06' 89° 2

3 10°59' -01' 87° 11°02' +00' 87° 11°05' +01' 87° 11°08' +02' 88° 11°10' +04' 88° 11°13' +05' 88° 11°15' +06' 88° 3

4 10°58' -01' 86° 11°03' +00' 86° 11°06' +01' 86° 11°10' +02' 87° 11°14' +03' 87° 11°17' +04' 87° 11°20' +05' 87° 4

5 10°57' -01' 85° 11°03' 00' 85° 11°08' +01' 85° 11°13' +02' 85° 11°17' +03' 86° 11°22' +04' 86° 11°26' +05' 86° 5

6 10°56' -01' 84° 11°03' 00' 84° 11°09' +01' 84° 11°15' +02' 84° 11°20' +03' 85° 11°26' +04' 85° 11°31' +05' 85° 6

7 10°55' -02' 83° 11°02' 00' 83° 11°10' +01' 83° 11°16' +02' 83° 11°23' +03' 84° 11°30' +04' 84° 11°36' +05' 84° 7

8 10°53' -02' 82° 11°02' -01' 82° 11°10' +00' 82° 11°18' +01' 82° 11°26' +03' 83° 11°33' +04' 83° 11°41' +05' 83° 8

9 10°52' -02' 81° 11°01' -01' 81° 11°10' +00' 81° 11°20' +01' 81° 11°28' +02' 82° 11°37' +03' 82° 11°45' +04' 82° 9

10 10°50' -02' 80° 11°00' -01' 80° 11°11' 00' 80° 11°21' +01' 80° 11°31' +02' 81° 11°40' +03' 81° 11°50' +04' 81° 10

11 10°48' -02' 79° 10°59' -01' 79° 11°11' 00' 79° 11°22' +01' 79° 11°33' +02' 80° 11°44' +03' 80° 11°54' +04' 80° 11

12 10°45' -03' 78° 10°58' -01' 78° 11°10' 00' 78° 11°23' +01' 78° 11°35' +02' 79° 11°46' +03' 79° 11°58' +04' 79° 12

13 10°43' -03' 77° 10°57' -02' 77° 11°10' -01' 77° 11°23' +00' 77° 11°36' +01' 78° 11°49' +02' 78° 12°02' +04' 78° 13

14 10°40' -03' 76° 10°55' -02' 76° 11°09' -01' 76° 11°24' +00' 76° 11°38' +01' 77° 11°52' +02' 77° 12°05' +03' 77° 14

15 10°37' -03' 75° 10°53' -02' 75° 11°08' -01' 75° 11°24' 00' 75° 11°39' +01' 75° 11°54' +02' 76° 12°09' +03' 76° 15

16 10°34' -03' 74° 10°51' -02' 74° 11°07' -01' 74° 11°24' 00' 74° 11°40' +01' 74° 11°56' +02' 75° 12°12' +03' 75° 16

17 10°31' -04' 73° 10°49' -02' 73° 11°06' -01' 73° 11°24' 00' 73° 11°41' +01' 73° 11°58' +02' 74° 12°14' +03' 74° 17

18 10°27' -04' 72° 10°46' -03' 72° 11°05' -02' 72° 11°23' -01' 72° 11°41' +00' 72° 11°59' +01' 73° 12°17' +02' 73° 18

19 10°24' -04' 71° 10°43' -03' 71° 11°03' -02' 71° 11°22' -01' 71° 11°42' +00' 71° 12°01' +01' 72° 12°19' +02' 72° 19

20 10°20' -04' 70° 10°41' -03' 70° 11°01' -02' 70° 11°22' -01' 70° 11°42' 00' 70° 12°02' +01' 71° 12°22' +02' 71° 20

21 10°16' -04' 69° 10°37' -03' 69° 10°59' -02' 69° 11°20' -01' 69° 11°42' 00' 69° 12°03' +01' 70° 12°24' +02' 70° 21

22 10°11' -04' 68° 10°34' -03' 68° 10°57' -02' 68° 11°19' -02' 68° 11°41' -01' 68° 12°03' +00' 69° 12°25' +01' 69° 22

23 10°07' -05' 67° 10°31' -04' 67° 10°54' -03' 67° 11°18' -02' 67° 11°41' -01' 67° 12°04' +00' 68° 12°27' +01' 68° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

78° 282° LHA Latitude SAME as Declination 78° 282° LHA

78° 282° LHA Latitude SAME as Declination 78° 282° LHA

79° 281° LHA Latitude SAME as Declination 79° 281° LHA

79° 281° LHA Latitude SAME as Declination 79° 281° LHA

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Page 43: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 10°00' 00' 90° 10°00' +01' 90° 10°00' +02' 90° 9°59' +03' 91° 9°59' +04' 91° 9°58' +05' 91° 9°57' +06' 91° 0

1 10°00' 00' 89° 10°01' +01' 89° 10°02' +02' 89° 10°02' +03' 90° 10°03' +04' 90° 10°03' +05' 90° 10°03' +06' 90° 1

2 10°00' 00' 88° 10°02' +01' 88° 10°04' +02' 88° 10°05' +03' 89° 10°07' +04' 89° 10°08' +05' 89° 10°09' +06' 89° 2

3 9°59' -01' 87° 10°02' +00' 87° 10°05' +01' 87° 10°08' +03' 87° 10°10' +04' 88° 10°13' +05' 88° 10°15' +06' 88° 3

4 9°59' -01' 86° 10°03' +00' 86° 10°07' +01' 86° 10°10' +02' 86° 10°14' +03' 87° 10°17' +04' 87° 10°21' +06' 87° 4

5 9°58' -01' 85° 10°03' +00' 85° 10°08' +01' 85° 10°13' +02' 85° 10°17' +03' 86° 10°22' +04' 86° 10°26' +05' 86° 5

6 9°57' -01' 84° 10°03' 00' 84° 10°09' +01' 84° 10°15' +02' 84° 10°21' +03' 85° 10°26' +04' 85° 10°32' +05' 85° 6

7 9°55' -01' 83° 10°03' 00' 83° 10°10' +01' 83° 10°17' +02' 83° 10°24' +03' 84° 10°30' +04' 84° 10°37' +05' 84° 7

8 9°54' -02' 82° 10°02' -01' 82° 10°11' +01' 82° 10°19' +02' 82° 10°27' +03' 83° 10°34' +04' 83° 10°42' +05' 83° 8

9 9°53' -02' 81° 10°02' -01' 81° 10°11' +00' 81° 10°20' +01' 81° 10°29' +02' 82° 10°38' +04' 82° 10°46' +05' 82° 9

10 9°51' -02' 80° 10°01' -01' 80° 10°12' +00' 80° 10°22' +01' 80° 10°32' +02' 81° 10°41' +03' 81° 10°51' +04' 81° 10

11 9°49' -02' 79° 10°00' -01' 79° 10°12' 00' 79° 10°23' +01' 79° 10°34' +02' 80° 10°45' +03' 80° 10°55' +04' 80° 11

12 9°47' -02' 78° 9°59' -01' 78° 10°12' 00' 78° 10°24' +01' 78° 10°36' +02' 79° 10°48' +03' 79° 10°59' +04' 79° 12

13 9°44' -02' 77° 9°58' -01' 77° 10°12' 00' 77° 10°25' +01' 77° 10°38' +02' 78° 10°51' +03' 78° 11°03' +04' 78° 13

14 9°42' -03' 76° 9°57' -02' 76° 10°11' -01' 76° 10°25' +00' 76° 10°40' +01' 76° 10°53' +03' 77° 11°07' +04' 77° 14

15 9°39' -03' 75° 9°55' -02' 75° 10°11' -01' 75° 10°26' +00' 75° 10°41' +01' 75° 10°56' +02' 76° 11°11' +03' 76° 15

16 9°37' -03' 74° 9°53' -02' 74° 10°10' -01' 74° 10°26' +00' 74° 10°42' +01' 74° 10°58' +02' 75° 11°14' +03' 75° 16

17 9°34' -03' 73° 9°51' -02' 73° 10°09' -01' 73° 10°26' 00' 73° 10°43' +01' 73° 11°00' +02' 74° 11°17' +03' 74° 17

18 9°30' -03' 72° 9°49' -02' 72° 10°08' -01' 72° 10°26' 00' 72° 10°44' +01' 72° 11°02' +02' 73° 11°20' +03' 73° 18

19 9°27' -04' 71° 9°47' -03' 71° 10°06' -02' 71° 10°26' -01' 71° 10°45' +00' 71° 11°04' +01' 72° 11°23' +03' 72° 19

20 9°23' -04' 70° 9°44' -03' 70° 10°05' -02' 70° 10°25' -01' 70° 10°45' +00' 70° 11°05' +01' 71° 11°25' +02' 71° 20

21 9°20' -04' 69° 9°41' -03' 69° 10°03' -02' 69° 10°24' -01' 69° 10°46' +00' 69° 11°07' +01' 70° 11°28' +02' 70° 21

22 9°16' -04' 68° 9°39' -03' 68° 10°01' -02' 68° 10°24' -01' 68° 10°46' 00' 68° 11°08' +01' 69° 11°30' +02' 69° 22

23 9°12' -04' 67° 9°36' -03' 67° 9°59' -02' 67° 10°22' -01' 67° 10°46' 00' 67° 11°09' +01' 68° 11°32' +02' 68° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 9°00' 00' 90° 9°00' +01' 90° 9°00' +02' 90° 8°59' +03' 90° 8°59' +04' 91° 8°58' +05' 91° 8°57' +06' 91° 0

1 9°00' 00' 89° 9°01' +01' 89° 9°02' +02' 89° 9°02' +03' 89° 9°03' +04' 90° 9°03' +05' 90° 9°03' +06' 90° 1

2 9°00' 00' 88° 9°02' +01' 88° 9°04' +02' 88° 9°05' +03' 88° 9°07' +04' 89° 9°08' +05' 89° 9°09' +06' 89° 2

3 8°59' -01' 87° 9°02' +00' 87° 9°05' +02' 87° 9°08' +03' 87° 9°11' +04' 88° 9°13' +05' 88° 9°15' +06' 88° 3

4 8°59' -01' 86° 9°03' +00' 86° 9°07' +01' 86° 9°11' +02' 86° 9°14' +03' 87° 9°18' +05' 87° 9°21' +06' 87° 4

5 8°58' -01' 85° 9°03' +00' 85° 9°08' +01' 85° 9°13' +02' 85° 9°18' +03' 86° 9°22' +04' 86° 9°27' +05' 86° 5

6 8°57' -01' 84° 9°03' 00' 84° 9°09' +01' 84° 9°15' +02' 84° 9°21' +03' 85° 9°27' +04' 85° 9°32' +05' 85° 6

7 8°56' -01' 83° 9°03' 00' 83° 9°10' +01' 83° 9°17' +02' 83° 9°24' +03' 84° 9°31' +04' 84° 9°37' +05' 84° 7

8 8°55' -01' 82° 9°03' 00' 82° 9°11' +01' 82° 9°19' +02' 82° 9°27' +03' 83° 9°35' +04' 83° 9°42' +05' 83° 8

9 8°53' -02' 81° 9°03' -01' 81° 9°12' +01' 81° 9°21' +02' 81° 9°30' +03' 82° 9°39' +04' 82° 9°47' +05' 82° 9

10 8°52' -02' 80° 9°02' -01' 80° 9°12' +00' 80° 9°23' +01' 80° 9°33' +02' 81° 9°42' +03' 81° 9°52' +05' 81° 10

11 8°50' -02' 79° 9°02' -01' 79° 9°13' +00' 79° 9°24' +01' 79° 9°35' +02' 80° 9°46' +03' 80° 9°57' +04' 80° 11

12 8°48' -02' 78° 9°01' -01' 78° 9°13' +00' 78° 9°25' +01' 78° 9°37' +02' 78° 9°49' +03' 79° 10°01' +04' 79° 12

13 8°46' -02' 77° 9°00' -01' 77° 9°13' 00' 77° 9°26' +01' 77° 9°39' +02' 77° 9°52' +03' 78° 10°05' +04' 78° 13

14 8°44' -02' 76° 8°58' -01' 76° 9°13' 00' 76° 9°27' +01' 76° 9°41' +02' 76° 9°55' +03' 77° 10°09' +04' 77° 14

15 8°41' -03' 75° 8°57' -02' 75° 9°13' 00' 75° 9°28' +01' 75° 9°43' +02' 75° 9°58' +03' 76° 10°13' +04' 76° 15

16 8°39' -03' 74° 8°56' -02' 74° 9°12' -01' 74° 9°28' +00' 74° 9°45' +01' 74° 10°01' +02' 75° 10°16' +03' 75° 16

17 8°36' -03' 73° 8°54' -02' 73° 9°11' -01' 73° 9°29' +00' 73° 9°46' +01' 73° 10°03' +02' 74° 10°20' +03' 74° 17

18 8°33' -03' 72° 8°52' -02' 72° 9°11' -01' 72° 9°29' +00' 72° 9°47' +01' 72° 10°05' +02' 73° 10°23' +03' 73° 18

19 8°30' -03' 71° 8°50' -02' 71° 9°10' -01' 71° 9°29' 00' 71° 9°48' +01' 71° 10°07' +02' 72° 10°26' +03' 72° 19

20 8°27' -03' 70° 8°48' -02' 70° 9°08' -01' 70° 9°29' 00' 70° 9°49' +01' 70° 10°09' +02' 71° 10°29' +03' 71° 20

21 8°24' -03' 69° 8°46' -02' 69° 9°07' -02' 69° 9°28' -01' 69° 9°50' +00' 69° 10°11' +01' 70° 10°32' +02' 70° 21

22 8°20' -04' 68° 8°43' -03' 68° 9°06' -02' 68° 9°28' -01' 68° 9°50' +00' 68° 10°12' +01' 69° 10°34' +02' 69° 22

23 8°17' -04' 67° 8°40' -03' 67° 9°04' -02' 67° 9°27' -01' 67° 9°50' +00' 67° 10°13' +01' 67° 10°36' +02' 68° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

80° 280° LHA Latitude SAME as Declination 80° 280° LHA

81° 279° LHA Latitude SAME as Declination 81° 279° LHA

81° 279° LHA Latitude SAME as Declination 81° 279° LHA

80° 280° LHA Latitude SAME as Declination 80° 280° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

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Page 44: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 8°00' 00' 90° 8°00' +01' 90° 8°00' +02' 90° 7°59' +03' 90° 7°59' +04' 91° 7°58' +05' 91° 7°57' +06' 91° 0

1 8°00' 00' 89° 8°01' +01' 89° 8°02' +02' 89° 8°02' +03' 89° 8°03' +04' 90° 8°03' +05' 90° 8°04' +06' 90° 1

2 8°00' 00' 88° 8°02' +01' 88° 8°04' +02' 88° 8°05' +03' 88° 8°07' +04' 89° 8°08' +05' 89° 8°10' +06' 89° 2

3 7°59' -01' 87° 8°02' +01' 87° 8°05' +02' 87° 8°08' +03' 87° 8°11' +04' 88° 8°13' +05' 88° 8°16' +06' 88° 3

4 7°59' -01' 86° 8°03' +00' 86° 8°07' +01' 86° 8°11' +03' 86° 8°15' +04' 87° 8°18' +05' 87° 8°22' +06' 87° 4

5 7°58' -01' 85° 8°03' +00' 85° 8°08' +01' 85° 8°13' +02' 85° 8°18' +03' 86° 8°23' +04' 86° 8°27' +06' 86° 5

6 7°57' -01' 84° 8°04' +00' 84° 8°10' +01' 84° 8°16' +02' 84° 8°22' +03' 85° 8°27' +04' 85° 8°33' +05' 85° 6

7 7°56' -01' 83° 8°04' 00' 83° 8°11' +01' 83° 8°18' +02' 83° 8°25' +03' 84° 8°31' +04' 84° 8°38' +05' 84° 7

8 7°55' -01' 82° 8°04' 00' 82° 8°12' +01' 82° 8°20' +02' 82° 8°28' +03' 82° 8°36' +04' 83° 8°43' +05' 83° 8

9 7°54' -01' 81° 8°03' 00' 81° 8°13' +01' 81° 8°22' +02' 81° 8°31' +03' 81° 8°40' +04' 82° 8°48' +05' 82° 9

10 7°53' -02' 80° 8°03' 00' 80° 8°13' +01' 80° 8°24' +02' 80° 8°34' +03' 80° 8°43' +04' 81° 8°53' +05' 81° 10

11 7°51' -02' 79° 8°03' -01' 79° 8°14' +00' 79° 8°25' +01' 79° 8°36' +02' 79° 8°47' +04' 80° 8°58' +05' 80° 11

12 7°49' -02' 78° 8°02' -01' 78° 8°14' +00' 78° 8°27' +01' 78° 8°39' +02' 78° 8°51' +03' 79° 9°02' +04' 79° 12

13 7°48' -02' 77° 8°01' -01' 77° 8°15' +00' 77° 8°28' +01' 77° 8°41' +02' 77° 8°54' +03' 78° 9°07' +04' 78° 13

14 7°46' -02' 76° 8°00' -01' 76° 8°15' 00' 76° 8°29' +01' 76° 8°43' +02' 76° 8°57' +03' 77° 9°11' +04' 77° 14

15 7°44' -02' 75° 7°59' -01' 75° 8°15' 00' 75° 8°30' +01' 75° 8°45' +02' 75° 9°00' +03' 76° 9°15' +04' 76° 15

16 7°41' -02' 74° 7°58' -01' 74° 8°14' 00' 74° 8°31' +01' 74° 8°47' +02' 74° 9°03' +03' 75° 9°19' +04' 75° 16

17 7°39' -03' 73° 7°57' -02' 73° 8°14' -01' 73° 8°31' +00' 73° 8°49' +02' 73° 9°06' +03' 74° 9°23' +04' 74° 17

18 7°36' -03' 72° 7°55' -02' 72° 8°14' -01' 72° 8°32' +00' 72° 8°50' +01' 72° 9°08' +02' 73° 9°26' +03' 73° 18

19 7°34' -03' 71° 7°53' -02' 71° 8°13' -01' 71° 8°32' +00' 71° 8°51' +01' 71° 9°11' +02' 72° 9°29' +03' 72° 19

20 7°31' -03' 70° 7°52' -02' 70° 8°12' -01' 70° 8°32' +00' 70° 8°53' +01' 70° 9°13' +02' 71° 9°33' +03' 71° 20

21 7°28' -03' 69° 7°50' -02' 69° 8°11' -01' 69° 8°32' 00' 69° 8°54' +01' 69° 9°15' +02' 69° 9°36' +03' 70° 21

22 7°25' -03' 68° 7°47' -02' 68° 8°10' -01' 68° 8°32' 00' 68° 8°55' +01' 68° 9°17' +02' 68° 9°39' +03' 69° 22

23 7°22' -03' 67° 7°45' -02' 67° 8°09' -01' 67° 8°32' 00' 67° 8°55' +01' 67° 9°18' +01' 67° 9°41' +02' 68° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 7°00' 00' 90° 7°00' +01' 90° 7°00' +02' 90° 6°59' +03' 90° 6°59' +04' 90° 6°58' +05' 91° 6°58' +06' 91° 0

1 7°00' 00' 89° 7°01' +01' 89° 7°02' +02' 89° 7°03' +03' 89° 7°03' +04' 89° 7°04' +05' 90° 7°04' +06' 90° 1

2 7°00' 00' 88° 7°02' +01' 88° 7°04' +02' 88° 7°05' +03' 88° 7°07' +04' 88° 7°09' +05' 89° 7°10' +06' 89° 2

3 6°59' 00' 87° 7°03' +01' 87° 7°05' +02' 87° 7°08' +03' 87° 7°11' +04' 87° 7°14' +05' 88° 7°16' +06' 88° 3

4 6°59' -01' 86° 7°03' +00' 86° 7°07' +02' 86° 7°11' +03' 86° 7°15' +04' 86° 7°18' +05' 87° 7°22' +06' 87° 4

5 6°58' -01' 85° 7°04' +00' 85° 7°09' +01' 85° 7°14' +02' 85° 7°18' +03' 85° 7°23' +05' 86° 7°28' +06' 86° 5

6 6°58' -01' 84° 7°04' +00' 84° 7°10' +01' 84° 7°16' +02' 84° 7°22' +03' 84° 7°28' +04' 85° 7°33' +05' 85° 6

7 6°57' -01' 83° 7°04' +00' 83° 7°11' +01' 83° 7°18' +02' 83° 7°25' +03' 83° 7°32' +04' 84° 7°39' +05' 84° 7

8 6°56' -01' 82° 7°04' 00' 82° 7°12' +01' 82° 7°21' +02' 82° 7°29' +03' 82° 7°36' +04' 83° 7°44' +05' 83° 8

9 6°55' -01' 81° 7°04' 00' 81° 7°13' +01' 81° 7°23' +02' 81° 7°32' +03' 81° 7°40' +04' 82° 7°49' +05' 82° 9

10 6°54' -01' 80° 7°04' 00' 80° 7°14' +01' 80° 7°25' +02' 80° 7°35' +03' 80° 7°44' +04' 81° 7°54' +05' 81° 10

11 6°52' -01' 79° 7°04' 00' 79° 7°15' +01' 79° 7°26' +02' 79° 7°37' +03' 79° 7°48' +04' 80° 7°59' +05' 80° 11

12 6°51' -02' 78° 7°03' -01' 78° 7°16' +00' 78° 7°28' +01' 78° 7°40' +03' 78° 7°52' +04' 79° 8°04' +05' 79° 12

13 6°49' -02' 77° 7°03' -01' 77° 7°16' +00' 77° 7°29' +01' 77° 7°43' +02' 77° 7°56' +03' 78° 8°08' +04' 78° 13

14 6°47' -02' 76° 7°02' -01' 76° 7°16' +00' 76° 7°31' +01' 76° 7°45' +02' 76° 7°59' +03' 77° 8°13' +04' 77° 14

15 6°46' -02' 75° 7°01' -01' 75° 7°17' +00' 75° 7°32' +01' 75° 7°47' +02' 75° 8°02' +03' 76° 8°17' +04' 76° 15

16 6°44' -02' 74° 7°00' -01' 74° 7°17' 00' 74° 7°33' +01' 74° 7°49' +02' 74° 8°05' +03' 75° 8°21' +04' 75° 16

17 6°42' -02' 73° 6°59' -01' 73° 7°17' 00' 73° 7°34' +01' 73° 7°51' +02' 73° 8°08' +03' 74° 8°25' +04' 74° 17

18 6°39' -02' 72° 6°58' -01' 72° 7°16' 00' 72° 7°35' +01' 72° 7°53' +02' 72° 8°11' +03' 72° 8°29' +04' 73° 18

19 6°37' -02' 71° 6°57' -01' 71° 7°16' 00' 71° 7°35' +01' 71° 7°55' +02' 71° 8°14' +03' 71° 8°33' +04' 72° 19

20 6°35' -03' 70° 6°55' -02' 70° 7°16' -01' 70° 7°36' +00' 70° 7°56' +01' 70° 8°16' +02' 70° 8°36' +03' 71° 20

21 6°32' -03' 69° 6°54' -02' 69° 7°15' -01' 69° 7°36' +00' 69° 7°58' +01' 69° 8°19' +02' 69° 8°40' +03' 70° 21

22 6°29' -03' 68° 6°52' -02' 68° 7°14' -01' 68° 7°37' +00' 68° 7°59' +01' 68° 8°21' +02' 68° 8°43' +03' 69° 22

23 6°26' -03' 67° 6°50' -02' 67° 7°13' -01' 67° 7°37' 00' 67° 8°00' +01' 67° 8°23' +02' 67° 8°46' +03' 68° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

83° 277° LHA Latitude SAME as Declination 83° 277° LHA

82° 278° LHA Latitude SAME as Declination 82° 278° LHA

82° 278° LHA Latitude SAME as Declination 82° 278° LHA

83° 277° LHA Latitude SAME as Declination 83° 277° LHA

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Page 45: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 6°00' 00' 90° 6°00' +01' 90° 6°00' +02' 90° 6°00' +03' 90° 5°59' +04' 90° 5°59' +05' 91° 5°58' +06' 91° 0

1 6°00' 00' 89° 6°01' +01' 89° 6°02' +02' 89° 6°03' +03' 89° 6°03' +04' 89° 6°04' +05' 90° 6°04' +06' 90° 1

2 6°00' 00' 88° 6°02' +01' 88° 6°04' +02' 88° 6°06' +03' 88° 6°07' +04' 88° 6°09' +05' 89° 6°10' +06' 89° 2

3 6°00' 00' 87° 6°03' +01' 87° 6°06' +02' 87° 6°08' +03' 87° 6°11' +04' 87° 6°14' +05' 88° 6°16' +06' 88° 3

4 5°59' 00' 86° 6°03' +01' 86° 6°07' +02' 86° 6°11' +03' 86° 6°15' +04' 86° 6°19' +05' 87° 6°22' +06' 87° 4

5 5°59' -01' 85° 6°04' +00' 85° 6°09' +01' 85° 6°14' +03' 85° 6°19' +04' 85° 6°24' +05' 86° 6°28' +06' 86° 5

6 5°58' -01' 84° 6°04' +00' 84° 6°10' +01' 84° 6°16' +02' 84° 6°22' +03' 84° 6°28' +05' 85° 6°34' +06' 85° 6

7 5°57' -01' 83° 6°05' +00' 83° 6°12' +01' 83° 6°19' +02' 83° 6°26' +03' 83° 6°33' +04' 84° 6°39' +05' 84° 7

8 5°56' -01' 82° 6°05' +00' 82° 6°13' +01' 82° 6°21' +02' 82° 6°29' +03' 82° 6°37' +04' 83° 6°45' +05' 83° 8

9 5°56' -01' 81° 6°05' 00' 81° 6°14' +01' 81° 6°23' +02' 81° 6°32' +03' 81° 6°41' +04' 81° 6°50' +05' 82° 9

10 5°55' -01' 80° 6°05' 00' 80° 6°15' +01' 80° 6°25' +02' 80° 6°36' +03' 80° 6°46' +04' 80° 6°55' +05' 81° 10

11 5°53' -01' 79° 6°05' 00' 79° 6°16' +01' 79° 6°27' +02' 79° 6°39' +03' 79° 6°50' +04' 79° 7°00' +05' 80° 11

12 5°52' -01' 78° 6°05' 00' 78° 6°17' +01' 78° 6°29' +02' 78° 6°41' +03' 78° 6°53' +04' 78° 7°05' +05' 79° 12

13 5°51' -01' 77° 6°04' 00' 77° 6°18' +01' 77° 6°31' +02' 77° 6°44' +03' 77° 6°57' +04' 77° 7°10' +05' 78° 13

14 5°49' -02' 76° 6°04' -01' 76° 6°18' +00' 76° 6°33' +01' 76° 6°47' +03' 76° 7°01' +04' 76° 7°15' +05' 77° 14

15 5°48' -02' 75° 6°03' -01' 75° 6°19' +00' 75° 6°34' +01' 75° 6°49' +02' 75° 7°04' +03' 75° 7°19' +04' 76° 15

16 5°46' -02' 74° 6°03' -01' 74° 6°19' +00' 74° 6°35' +01' 74° 6°52' +02' 74° 7°08' +03' 74° 7°24' +04' 75° 16

17 5°44' -02' 73° 6°02' -01' 73° 6°19' +00' 73° 6°37' +01' 73° 6°54' +02' 73° 7°11' +03' 73° 7°28' +04' 74° 17

18 5°42' -02' 72° 6°01' -01' 72° 6°19' 00' 72° 6°38' +01' 72° 6°56' +02' 72° 7°14' +03' 72° 7°32' +04' 73° 18

19 5°40' -02' 71° 6°00' -01' 71° 6°19' 00' 71° 6°39' +01' 71° 6°58' +02' 71° 7°17' +03' 71° 7°36' +04' 72° 19

20 5°38' -02' 70° 5°59' -01' 70° 6°19' 00' 70° 6°40' +01' 70° 7°00' +02' 70° 7°20' +03' 70° 7°40' +04' 71° 20

21 5°36' -02' 69° 5°58' -01' 69° 6°19' 00' 69° 6°40' +01' 69° 7°02' +02' 69° 7°23' +03' 69° 7°44' +04' 70° 21

22 5°34' -02' 68° 5°56' -01' 68° 6°19' 00' 68° 6°41' +01' 68° 7°03' +01' 68° 7°25' +02' 68° 7°47' +03' 69° 22

23 5°31' -03' 67° 5°55' -02' 67° 6°18' -01' 67° 6°42' +00' 67° 7°05' +01' 67° 7°28' +02' 67° 7°51' +03' 68° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 5°00' 00' 90° 5°00' +01' 90° 5°00' +02' 90° 5°00' +03' 90° 4°59' +04' 90° 4°59' +05' 90° 4°58' +06' 91° 0

1 5°00' 00' 89° 5°01' +01' 89° 5°02' +02' 89° 5°03' +03' 89° 5°03' +04' 89° 5°04' +05' 89° 5°05' +06' 90° 1

2 5°00' 00' 88° 5°02' +01' 88° 5°04' +02' 88° 5°06' +03' 88° 5°07' +04' 88° 5°09' +05' 88° 5°11' +06' 89° 2

3 5°00' 00' 87° 5°03' +01' 87° 5°06' +02' 87° 5°09' +03' 87° 5°11' +04' 87° 5°14' +05' 87° 5°17' +06' 88° 3

4 4°59' 00' 86° 5°03' +01' 86° 5°07' +02' 86° 5°11' +03' 86° 5°15' +04' 86° 5°19' +05' 86° 5°23' +06' 87° 4

5 4°59' -01' 85° 5°04' +01' 85° 5°09' +02' 85° 5°14' +03' 85° 5°19' +04' 85° 5°24' +05' 85° 5°29' +06' 86° 5

6 4°58' -01' 84° 5°05' +00' 84° 5°11' +01' 84° 5°17' +03' 84° 5°23' +04' 84° 5°29' +05' 84° 5°34' +06' 85° 6

7 4°58' -01' 83° 5°05' +00' 83° 5°12' +01' 83° 5°19' +02' 83° 5°26' +03' 83° 5°33' +05' 83° 5°40' +06' 84° 7

8 4°57' -01' 82° 5°05' +00' 82° 5°14' +01' 82° 5°22' +02' 82° 5°30' +03' 82° 5°38' +04' 82° 5°46' +05' 83° 8

9 4°56' -01' 81° 5°06' +00' 81° 5°15' +01' 81° 5°24' +02' 81° 5°33' +03' 81° 5°42' +04' 81° 5°51' +05' 82° 9

10 4°55' -01' 80° 5°06' +00' 80° 5°16' +01' 80° 5°26' +02' 80° 5°37' +03' 80° 5°47' +04' 80° 5°56' +05' 81° 10

11 4°54' -01' 79° 5°06' 00' 79° 5°17' +01' 79° 5°29' +02' 79° 5°40' +03' 79° 5°51' +04' 79° 6°02' +05' 80° 11

12 4°53' -01' 78° 5°06' 00' 78° 5°18' +01' 78° 5°31' +02' 78° 5°43' +03' 78° 5°55' +04' 78° 6°07' +05' 79° 12

13 4°52' -01' 77° 5°06' 00' 77° 5°19' +01' 77° 5°33' +02' 77° 5°46' +03' 77° 5°59' +04' 77° 6°12' +05' 78° 13

14 4°51' -01' 76° 5°06' 00' 76° 5°20' +01' 76° 5°34' +02' 76° 5°49' +03' 76° 6°03' +04' 76° 6°17' +05' 77° 14

15 4°50' -01' 75° 5°05' 00' 75° 5°21' +01' 75° 5°36' +02' 75° 5°51' +03' 75° 6°07' +04' 75° 6°22' +05' 76° 15

16 4°48' -01' 74° 5°05' 00' 74° 5°21' +01' 74° 5°38' +02' 74° 5°54' +03' 74° 6°10' +04' 74° 6°26' +05' 75° 16

17 4°47' -02' 73° 5°04' -01' 73° 5°22' +00' 73° 5°39' +01' 73° 5°57' +02' 73° 6°14' +03' 73° 6°31' +04' 74° 17

18 4°45' -02' 72° 5°04' -01' 72° 5°22' +00' 72° 5°41' +01' 72° 5°59' +02' 72° 6°17' +03' 72° 6°35' +04' 73° 18

19 4°44' -02' 71° 5°03' -01' 71° 5°23' +00' 71° 5°42' +01' 71° 6°01' +02' 71° 6°21' +03' 71° 6°40' +04' 71° 19

20 4°42' -02' 70° 5°02' -01' 70° 5°23' +00' 70° 5°43' +01' 70° 6°04' +02' 70° 6°24' +03' 70° 6°44' +04' 70° 20

21 4°40' -02' 69° 5°02' -01' 69° 5°23' +00' 69° 5°44' +01' 69° 6°06' +02' 69° 6°27' +03' 69° 6°48' +04' 69° 21

22 4°38' -02' 68° 5°01' -01' 68° 5°23' 00' 68° 5°45' +01' 68° 6°08' +02' 68° 6°30' +03' 68° 6°52' +04' 68° 22

23 4°36' -02' 67° 5°00' -01' 67° 5°23' 00' 67° 5°46' +01' 67° 6°10' +02' 67° 6°33' +03' 67° 6°56' +04' 67° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

84° 276° LHA Latitude SAME as Declination 84° 276° LHA

84° 276° LHA Latitude SAME as Declination 84° 276° LHA

85° 275° LHA Latitude SAME as Declination 85° 275° LHA

85° 275° LHA Latitude SAME as Declination 85° 275° LHA

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Page 46: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 4°00' 00' 90° 4°00' +01' 90° 4°00' +02' 90° 4°00' +03' 90° 3°59' +04' 90° 3°59' +05' 90° 3°59' +06' 90° 0

1 4°00' 00' 89° 4°01' +01' 89° 4°02' +02' 89° 4°03' +03' 89° 4°04' +04' 89° 4°04' +05' 89° 4°05' +06' 89° 1

2 4°00' 00' 88° 4°02' +01' 88° 4°04' +02' 88° 4°06' +03' 88° 4°08' +04' 88° 4°09' +05' 88° 4°11' +06' 88° 2

3 4°00' 00' 87° 4°03' +01' 87° 4°06' +02' 87° 4°09' +03' 87° 4°12' +04' 87° 4°14' +05' 87° 4°17' +06' 87° 3

4 3°59' 00' 86° 4°04' +01' 86° 4°08' +02' 86° 4°12' +03' 86° 4°16' +04' 86° 4°19' +05' 86° 4°23' +06' 86° 4

5 3°59' 00' 85° 4°04' +01' 85° 4°09' +02' 85° 4°14' +03' 85° 4°19' +04' 85° 4°24' +05' 85° 4°29' +06' 85° 5

6 3°59' 00' 84° 4°05' +01' 84° 4°11' +02' 84° 4°17' +03' 84° 4°23' +04' 84° 4°29' +05' 84° 4°35' +06' 84° 6

7 3°58' -01' 83° 4°06' +00' 83° 4°13' +02' 83° 4°20' +03' 83° 4°27' +04' 83° 4°34' +05' 83° 4°41' +06' 83° 7

8 3°58' -01' 82° 4°06' +00' 82° 4°14' +01' 82° 4°22' +02' 82° 4°31' +04' 82° 4°39' +05' 82° 4°47' +06' 82° 8

9 3°57' -01' 81° 4°06' +00' 81° 4°16' +01' 81° 4°25' +02' 81° 4°34' +03' 81° 4°43' +04' 81° 4°52' +06' 81° 9

10 3°56' -01' 80° 4°07' +00' 80° 4°17' +01' 80° 4°27' +02' 80° 4°38' +03' 80° 4°48' +04' 80° 4°58' +05' 80° 10

11 3°56' -01' 79° 4°07' +00' 79° 4°18' +01' 79° 4°30' +02' 79° 4°41' +03' 79° 4°52' +04' 79° 5°03' +05' 79° 11

12 3°55' -01' 78° 4°07' +00' 78° 4°20' +01' 78° 4°32' +02' 78° 4°44' +03' 78° 4°56' +04' 78° 5°08' +05' 78° 12

13 3°54' -01' 77° 4°07' +00' 77° 4°21' +01' 77° 4°34' +02' 77° 4°47' +03' 77° 5°01' +04' 77° 5°14' +05' 77° 13

14 3°53' -01' 76° 4°07' 00' 76° 4°22' +01' 76° 4°36' +02' 76° 4°50' +03' 76° 5°05' +04' 76° 5°19' +05' 76° 14

15 3°52' -01' 75° 4°07' 00' 75° 4°23' +01' 75° 4°38' +02' 75° 4°53' +03' 75° 5°09' +04' 75° 5°24' +05' 75° 15

16 3°51' -01' 74° 4°07' 00' 74° 4°24' +01' 74° 4°40' +02' 74° 4°56' +03' 74° 5°13' +04' 74° 5°29' +05' 74° 16

17 3°49' -01' 73° 4°07' 00' 73° 4°25' +01' 73° 4°42' +02' 73° 4°59' +03' 73° 5°17' +04' 73° 5°34' +05' 73° 17

18 3°48' -01' 72° 4°07' 00' 72° 4°25' +01' 72° 4°44' +02' 72° 5°02' +03' 72° 5°20' +04' 72° 5°38' +05' 72° 18

19 3°47' -01' 71° 4°06' 00' 71° 4°26' +01' 71° 4°45' +02' 71° 5°05' +03' 71° 5°24' +04' 71° 5°43' +05' 71° 19

20 3°46' -01' 70° 4°06' 00' 70° 4°27' +00' 70° 4°47' +01' 70° 5°07' +02' 70° 5°27' +03' 70° 5°48' +04' 70° 20

21 3°44' -02' 69° 4°06' -01' 69° 4°27' +00' 69° 4°48' +01' 69° 5°10' +02' 69° 5°31' +03' 69° 5°52' +04' 69° 21

22 3°42' -02' 68° 4°05' -01' 68° 4°27' +00' 68° 4°50' +01' 68° 5°12' +02' 68° 5°34' +03' 68° 5°56' +04' 68° 22

23 3°41' -02' 67° 4°04' -01' 67° 4°28' +00' 67° 4°51' +01' 67° 5°14' +02' 67° 5°38' +03' 67° 6°01' +04' 67° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 3°00' 00' 90° 3°00' +01' 90° 3°00' +02' 90° 3°00' +03' 90° 3°00' +04' 90° 2°59' +05' 90° 2°59' +06' 90° 0

1 3°00' 00' 89° 3°01' +01' 89° 3°02' +02' 89° 3°03' +03' 89° 3°04' +04' 89° 3°05' +05' 89° 3°05' +06' 89° 1

2 3°00' 00' 88° 3°02' +01' 88° 3°04' +02' 88° 3°06' +03' 88° 3°08' +04' 88° 3°10' +05' 88° 3°11' +06' 88° 2

3 3°00' 00' 87° 3°03' +01' 87° 3°06' +02' 87° 3°09' +03' 87° 3°12' +04' 87° 3°15' +05' 87° 3°18' +06' 87° 3

4 3°00' 00' 86° 3°04' +01' 86° 3°08' +02' 86° 3°12' +03' 86° 3°16' +04' 86° 3°20' +05' 86° 3°24' +06' 86° 4

5 2°59' 00' 85° 3°05' +01' 85° 3°10' +02' 85° 3°15' +03' 85° 3°20' +04' 85° 3°25' +05' 85° 3°30' +06' 85° 5

6 2°59' 00' 84° 3°05' +01' 84° 3°11' +02' 84° 3°18' +03' 84° 3°24' +04' 84° 3°30' +05' 84° 3°36' +06' 84° 6

7 2°59' 00' 83° 3°06' +01' 83° 3°13' +02' 83° 3°20' +03' 83° 3°27' +04' 83° 3°35' +05' 83° 3°42' +06' 83° 7

8 2°58' 00' 82° 3°07' +01' 82° 3°15' +02' 82° 3°23' +03' 82° 3°31' +04' 82° 3°39' +05' 82° 3°47' +06' 82° 8

9 2°58' -01' 81° 3°07' +01' 81° 3°16' +02' 81° 3°26' +03' 81° 3°35' +04' 81° 3°44' +05' 81° 3°53' +06' 81° 9

10 2°57' -01' 80° 3°08' +00' 80° 3°18' +01' 80° 3°28' +03' 80° 3°39' +04' 80° 3°49' +05' 80° 3°59' +06' 80° 10

11 2°57' -01' 79° 3°08' +00' 79° 3°20' +01' 79° 3°31' +02' 79° 3°42' +03' 79° 3°53' +05' 79° 4°04' +06' 79° 11

12 2°56' -01' 78° 3°09' +00' 78° 3°21' +01' 78° 3°33' +02' 78° 3°46' +03' 78° 3°58' +04' 78° 4°10' +05' 78° 12

13 2°55' -01' 77° 3°09' +00' 77° 3°22' +01' 77° 3°36' +02' 77° 3°49' +03' 77° 4°02' +04' 77° 4°15' +05' 77° 13

14 2°55' -01' 76° 3°09' +00' 76° 3°24' +01' 76° 3°38' +02' 76° 3°52' +03' 76° 4°07' +04' 76° 4°21' +05' 76° 14

15 2°54' -01' 75° 3°09' +00' 75° 3°25' +01' 75° 3°40' +02' 75° 3°56' +03' 75° 4°11' +04' 75° 4°26' +05' 75° 15

16 2°53' -01' 74° 3°10' +00' 74° 3°26' +01' 74° 3°42' +02' 74° 3°59' +03' 74° 4°15' +04' 74° 4°31' +05' 74° 16

17 2°52' -01' 73° 3°10' +00' 73° 3°27' +01' 73° 3°45' +02' 73° 4°02' +03' 73° 4°19' +04' 73° 4°36' +05' 73° 17

18 2°51' -01' 72° 3°10' 00' 72° 3°28' +01' 72° 3°47' +02' 72° 4°05' +03' 72° 4°23' +04' 72° 4°42' +05' 72° 18

19 2°50' -01' 71° 3°10' 00' 71° 3°29' +01' 71° 3°49' +02' 71° 4°08' +03' 71° 4°27' +04' 71° 4°47' +05' 71° 19

20 2°49' -01' 70° 3°10' 00' 70° 3°30' +01' 70° 3°51' +02' 70° 4°11' +03' 70° 4°31' +04' 70° 4°51' +05' 70° 20

21 2°48' -01' 69° 3°10' 00' 69° 3°31' +01' 69° 3°52' +02' 69° 4°14' +03' 69° 4°35' +04' 69° 4°56' +05' 69° 21

22 2°47' -01' 68° 3°09' 00' 68° 3°32' +01' 68° 3°54' +02' 68° 4°16' +03' 68° 4°39' +04' 68° 5°01' +05' 68° 22

23 2°46' -01' 67° 3°09' 00' 67° 3°33' +01' 67° 3°56' +02' 67° 4°19' +03' 67° 4°42' +04' 67° 5°06' +05' 67° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

86° 274° LHA Latitude SAME as Declination 86° 274° LHA

87° 273° LHA Latitude SAME as Declination 87° 273° LHA

87° 273° LHA Latitude SAME as Declination 87° 273° LHA

86° 274° LHA Latitude SAME as Declination 86° 274° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

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Page 47: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 2°00' 00' 90° 2°00' +01' 90° 2°00' +02' 90° 2°00' +03' 90° 2°00' +04' 90° 2°00' +05' 90° 1°59' +06' 90° 0

1 2°00' 00' 89° 2°01' +01' 89° 2°02' +02' 89° 2°03' +03' 89° 2°04' +04' 89° 2°05' +05' 89° 2°06' +06' 89° 1

2 2°00' 00' 88° 2°02' +01' 88° 2°04' +02' 88° 2°06' +03' 88° 2°08' +04' 88° 2°10' +05' 88° 2°12' +06' 88° 2

3 2°00' 00' 87° 2°03' +01' 87° 2°06' +02' 87° 2°09' +03' 87° 2°12' +04' 87° 2°15' +05' 87° 2°18' +06' 87° 3

4 2°00' 00' 86° 2°04' +01' 86° 2°08' +02' 86° 2°12' +03' 86° 2°16' +04' 86° 2°20' +05' 86° 2°24' +06' 86° 4

5 2°00' 00' 85° 2°05' +01' 85° 2°10' +02' 85° 2°15' +03' 85° 2°20' +04' 85° 2°25' +05' 85° 2°30' +06' 85° 5

6 1°59' 00' 84° 2°06' +01' 84° 2°12' +02' 84° 2°18' +03' 84° 2°24' +04' 84° 2°30' +05' 84° 2°36' +06' 84° 6

7 1°59' 00' 83° 2°06' +01' 83° 2°14' +02' 83° 2°21' +03' 83° 2°28' +04' 83° 2°35' +05' 83° 2°42' +06' 83° 7

8 1°59' 00' 82° 2°07' +01' 82° 2°15' +02' 82° 2°24' +03' 82° 2°32' +04' 82° 2°40' +05' 82° 2°48' +06' 82° 8

9 1°59' 00' 81° 2°08' +01' 81° 2°17' +02' 81° 2°27' +03' 81° 2°36' +04' 81° 2°45' +05' 81° 2°54' +06' 81° 9

10 1°58' 00' 80° 2°09' +01' 80° 2°19' +02' 80° 2°29' +03' 80° 2°40' +04' 80° 2°50' +05' 80° 3°00' +06' 80° 10

11 1°58' 00' 79° 2°09' +01' 79° 2°21' +02' 79° 2°32' +03' 79° 2°43' +04' 79° 2°55' +05' 79° 3°06' +06' 79° 11

12 1°57' 00' 78° 2°10' +01' 78° 2°22' +02' 78° 2°35' +03' 78° 2°47' +04' 78° 2°59' +05' 78° 3°12' +06' 78° 12

13 1°57' 00' 77° 2°10' +01' 77° 2°24' +02' 77° 2°37' +03' 77° 2°51' +04' 77° 3°04' +05' 77° 3°17' +06' 77° 13

14 1°56' -01' 76° 2°11' +00' 76° 2°25' +02' 76° 2°40' +03' 76° 2°54' +04' 76° 3°09' +05' 76° 3°23' +06' 76° 14

15 1°56' -01' 75° 2°11' +00' 75° 2°27' +01' 75° 2°42' +02' 75° 2°58' +03' 75° 3°13' +04' 75° 3°28' +05' 75° 15

16 1°55' -01' 74° 2°12' +00' 74° 2°28' +01' 74° 2°45' +02' 74° 3°01' +03' 74° 3°18' +04' 74° 3°34' +05' 74° 16

17 1°55' -01' 73° 2°12' +00' 73° 2°30' +01' 73° 2°47' +02' 73° 3°05' +03' 73° 3°22' +04' 73° 3°39' +05' 73° 17

18 1°54' -01' 72° 2°13' +00' 72° 2°31' +01' 72° 2°50' +02' 72° 3°08' +03' 72° 3°26' +04' 72° 3°45' +05' 72° 18

19 1°53' -01' 71° 2°13' +00' 71° 2°32' +01' 71° 2°52' +02' 71° 3°11' +03' 71° 3°31' +04' 71° 3°50' +05' 71° 19

20 1°53' -01' 70° 2°13' +00' 70° 2°34' +01' 70° 2°54' +02' 70° 3°15' +03' 70° 3°35' +04' 70° 3°55' +05' 70° 20

21 1°52' -01' 69° 2°14' +00' 69° 2°35' +01' 69° 2°56' +02' 69° 3°18' +03' 69° 3°39' +04' 69° 4°00' +05' 69° 21

22 1°51' -01' 68° 2°14' +00' 68° 2°36' +01' 68° 2°59' +02' 68° 3°21' +03' 68° 3°43' +04' 68° 4°05' +05' 68° 22

23 1°50' -01' 67° 2°14' +00' 67° 2°37' +01' 67° 3°01' +02' 67° 3°24' +03' 67° 3°47' +04' 67° 4°10' +05' 67° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1°00' 00' 90° 1°00' +01' 90° 1°00' +02' 90° 1°00' +03' 90° 1°00' +04' 90° 1°00' +05' 90° 1°00' +06' 90° 0

1 1°00' 00' 89° 1°01' +01' 89° 1°02' +02' 89° 1°03' +03' 89° 1°04' +04' 89° 1°05' +05' 89° 1°06' +06' 89° 1

2 1°00' 00' 88° 1°02' +01' 88° 1°04' +02' 88° 1°06' +03' 88° 1°08' +04' 88° 1°10' +05' 88° 1°12' +06' 88° 2

3 1°00' 00' 87° 1°03' +01' 87° 1°06' +02' 87° 1°09' +03' 87° 1°12' +04' 87° 1°15' +05' 87° 1°18' +06' 87° 3

4 1°00' 00' 86° 1°04' +01' 86° 1°08' +02' 86° 1°12' +03' 86° 1°16' +04' 86° 1°21' +05' 86° 1°25' +06' 86° 4

5 1°00' 00' 85° 1°05' +01' 85° 1°10' +02' 85° 1°15' +03' 85° 1°21' +04' 85° 1°26' +05' 85° 1°31' +06' 85° 5

6 1°00' 00' 84° 1°06' +01' 84° 1°12' +02' 84° 1°18' +03' 84° 1°25' +04' 84° 1°31' +05' 84° 1°37' +06' 84° 6

7 1°00' 00' 83° 1°07' +01' 83° 1°14' +02' 83° 1°21' +03' 83° 1°29' +04' 83° 1°36' +05' 83° 1°43' +06' 83° 7

8 0°59' 00' 82° 1°08' +01' 82° 1°16' +02' 82° 1°24' +03' 82° 1°33' +04' 82° 1°41' +05' 82° 1°49' +06' 82° 8

9 0°59' 00' 81° 1°09' +01' 81° 1°18' +02' 81° 1°27' +03' 81° 1°37' +04' 81° 1°46' +05' 81° 1°55' +06' 81° 9

10 0°59' 00' 80° 1°09' +01' 80° 1°20' +02' 80° 1°30' +03' 80° 1°41' +04' 80° 1°51' +05' 80° 2°01' +06' 80° 10

11 0°59' 00' 79° 1°10' +01' 79° 1°22' +02' 79° 1°33' +03' 79° 1°45' +04' 79° 1°56' +05' 79° 2°07' +06' 79° 11

12 0°59' 00' 78° 1°11' +01' 78° 1°24' +02' 78° 1°36' +03' 78° 1°48' +04' 78° 2°01' +05' 78° 2°13' +06' 78° 12

13 0°58' 00' 77° 1°12' +01' 77° 1°25' +02' 77° 1°39' +03' 77° 1°52' +04' 77° 2°06' +05' 77° 2°19' +06' 77° 13

14 0°58' 00' 76° 1°13' +01' 76° 1°27' +02' 76° 1°42' +03' 76° 1°56' +04' 76° 2°11' +05' 76° 2°25' +06' 76° 14

15 0°58' 00' 75° 1°13' +01' 75° 1°29' +02' 75° 1°44' +03' 75° 2°00' +04' 75° 2°15' +05' 75° 2°31' +06' 75° 15

16 0°58' 00' 74° 1°14' +01' 74° 1°31' +02' 74° 1°47' +03' 74° 2°04' +04' 74° 2°20' +05' 74° 2°36' +06' 74° 16

17 0°57' 00' 73° 1°15' +01' 73° 1°32' +02' 73° 1°50' +03' 73° 2°07' +04' 73° 2°25' +05' 73° 2°42' +06' 73° 17

18 0°57' 00' 72° 1°16' +01' 72° 1°34' +02' 72° 1°53' +03' 72° 2°11' +04' 72° 2°29' +05' 72° 2°48' +06' 72° 18

19 0°57' 00' 71° 1°16' +01' 71° 1°36' +02' 71° 1°55' +03' 71° 2°15' +04' 71° 2°34' +05' 71° 2°53' +06' 71° 19

20 0°56' 00' 70° 1°17' +01' 70° 1°37' +02' 70° 1°58' +03' 70° 2°18' +04' 70° 2°39' +05' 70° 2°59' +06' 70° 20

21 0°56' 00' 69° 1°18' +01' 69° 1°39' +02' 69° 2°00' +03' 69° 2°22' +04' 69° 2°43' +04' 69° 3°05' +05' 69° 21

22 0°56' 00' 68° 1°18' +01' 68° 1°41' +02' 68° 2°03' +03' 68° 2°25' +03' 68° 2°48' +04' 68° 3°10' +05' 68° 22

23 0°55' 00' 67° 1°19' +01' 67° 1°42' +02' 67° 2°05' +02' 67° 2°29' +03' 67° 2°52' +04' 67° 3°15' +05' 67° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

89° 271° LHA Latitude SAME as Declination 89° 271° LHA

88° 272° LHA Latitude SAME as Declination 88° 272° LHA

88° 272° LHA Latitude SAME as Declination 88° 272° LHA

89° 271° LHA Latitude SAME as Declination 89° 271° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 48: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 0°00' 00' 90° 0°00' +01' 90° 0°00' +02' 90° 0°00' +03' 90° 0°00' +04' 90° 0°00' +05' 90° 0°00' +06' 90° 0

1 0°00' 00' 89° 0°01' +01' 89° 0°02' +02' 89° 0°03' +03' 89° 0°04' +04' 89° 0°05' +05' 89° 0°06' +06' 89° 1

2 0°00' 00' 88° 0°02' +01' 88° 0°04' +02' 88° 0°06' +03' 88° 0°08' +04' 88° 0°10' +05' 88° 0°13' +06' 88° 2

3 0°00' 00' 87° 0°03' +01' 87° 0°06' +02' 87° 0°09' +03' 87° 0°13' +04' 87° 0°16' +05' 87° 0°19' +06' 87° 3

4 0°00' 00' 86° 0°04' +01' 86° 0°08' +02' 86° 0°13' +03' 86° 0°17' +04' 86° 0°21' +05' 86° 0°25' +06' 86° 4

5 0°00' 00' 85° 0°05' +01' 85° 0°10' +02' 85° 0°16' +03' 85° 0°21' +04' 85° 0°26' +05' 85° 0°31' +06' 85° 5

6 0°00' 00' 84° 0°06' +01' 84° 0°13' +02' 84° 0°19' +03' 84° 0°25' +04' 84° 0°31' +05' 84° 0°38' +06' 84° 6

7 0°00' 00' 83° 0°07' +01' 83° 0°15' +02' 83° 0°22' +03' 83° 0°29' +04' 83° 0°37' +05' 83° 0°44' +06' 83° 7

8 0°00' 00' 82° 0°08' +01' 82° 0°17' +02' 82° 0°25' +03' 82° 0°33' +04' 82° 0°42' +05' 82° 0°50' +06' 82° 8

9 0°00' 00' 81° 0°09' +01' 81° 0°19' +02' 81° 0°28' +03' 81° 0°38' +04' 81° 0°47' +05' 81° 0°56' +06' 81° 9

10 0°00' 00' 80° 0°10' +01' 80° 0°21' +02' 80° 0°31' +03' 80° 0°42' +04' 80° 0°52' +05' 80° 1°02' +06' 80° 10

11 0°00' 00' 79° 0°11' +01' 79° 0°23' +02' 79° 0°34' +03' 79° 0°46' +04' 79° 0°57' +05' 79° 1°09' +06' 79° 11

12 0°00' 00' 78° 0°12' +01' 78° 0°25' +02' 78° 0°37' +03' 78° 0°50' +04' 78° 1°02' +05' 78° 1°15' +06' 78° 12

13 0°00' 00' 77° 0°13' +01' 77° 0°27' +02' 77° 0°40' +03' 77° 0°54' +04' 77° 1°07' +05' 77° 1°21' +06' 77° 13

14 0°00' 00' 76° 0°15' +01' 76° 0°29' +02' 76° 0°44' +03' 76° 0°58' +04' 76° 1°12' +05' 76° 1°27' +06' 76° 14

15 0°00' 00' 75° 0°16' +01' 75° 0°31' +02' 75° 0°47' +03' 75° 1°02' +04' 75° 1°18' +05' 75° 1°33' +06' 75° 15

16 0°00' 00' 74° 0°17' +01' 74° 0°33' +02' 74° 0°50' +03' 74° 1°06' +04' 74° 1°23' +05' 74° 1°39' +06' 74° 16

17 0°00' 00' 73° 0°18' +01' 73° 0°35' +02' 73° 0°53' +03' 73° 1°10' +04' 73° 1°28' +05' 73° 1°45' +06' 73° 17

18 0°00' 00' 72° 0°19' +01' 72° 0°37' +02' 72° 0°56' +03' 72° 1°14' +04' 72° 1°33' +05' 72° 1°51' +06' 72° 18

19 0°00' 00' 71° 0°20' +01' 71° 0°39' +02' 71° 0°59' +03' 71° 1°18' +04' 71° 1°38' +05' 71° 1°57' +06' 71° 19

20 0°00' 00' 70° 0°21' +01' 70° 0°41' +02' 70° 1°02' +03' 70° 1°22' +04' 70° 1°42' +05' 70° 2°03' +06' 70° 20

21 0°00' 00' 69° 0°22' +01' 69° 0°43' +02' 69° 1°04' +03' 69° 1°26' +04' 69° 1°47' +05' 69° 2°09' +06' 69° 21

22 0°00' 00' 68° 0°22' +01' 68° 0°45' +02' 68° 1°07' +03' 68° 1°30' +04' 68° 1°52' +05' 68° 2°15' +06' 68° 22

23 0°00' 00' 67° 0°23' +01' 67° 0°47' +02' 67° 1°10' +03' 67° 1°34' +04' 67° 1°57' +05' 67° 2°20' +06' 67° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1°00' 00' 90° 1°00' -01' 90° 1°00' -02' 90° 1°00' -03' 90° 1°00' -04' 90° 1°00' -05' 90° 1°00' -06' 90° 0

1 1°00' 00' 91° 0°59' -01' 91° 0°58' -02' 91° 0°57' -03' 91° 0°56' -04' 91° 0°55' -05' 91° 0°53' -06' 91° 1

2 1°00' 00' 92° 0°58' -01' 92° 0°56' -02' 92° 0°54' -03' 92° 0°51' -04' 92° 0°49' -05' 92° 0°47' -06' 92° 2

3 1°00' 00' 93° 0°57' -01' 93° 0°54' -02' 93° 0°50' -03' 93° 0°47' -04' 93° 0°44' -05' 93° 0°41' -06' 93° 3

4 1°00' 00' 94° 0°56' -01' 94° 0°51' -02' 94° 0°47' -03' 94° 0°43' -04' 94° 0°39' -05' 94° 0°34' -06' 94° 4

5 1°00' 00' 95° 0°55' -01' 95° 0°49' -02' 95° 0°44' -03' 95° 0°39' -04' 95° 0°33' -05' 95° 0°28' -06' 95° 5

6 1°00' 00' 96° 0°53' -01' 96° 0°47' -02' 96° 0°41' -03' 96° 0°34' -04' 96° 0°28' -05' 96° 0°22' -06' 96° 6

7 1°00' 00' 97° 0°52' -01' 97° 0°45' -02' 97° 0°38' -03' 97° 0°30' -04' 97° 0°23' -05' 97° 0°15' -06' 97° 7

8 0°59' 00' 98° 0°51' -01' 98° 0°43' -02' 98° 0°34' -03' 98° 0°26' -04' 98° 0°17' -05' 98° 0°09' -06' 98° 8

9 0°59' 00' 99° 0°50' -01' 99° 0°40' -02' 99° 0°31' -03' 99° 0°22' -04' 99° 0°12' -05' 99° 0°03' -06' 99° 9

10 0°59' 00' 100° 0°49' -01' 100° 0°38' -02' 100° 0°28' -03' 100° 0°17' -04' 100° 0°07' -05' 100° 0°04' +06' 80° 10

11 0°59' 00' 101° 0°47' -01' 101° 0°36' -02' 101° 0°24' -03' 101° 0°13' -04' 101° 0°02' -05' 101° 0°10' +06' 79° 11

12 0°59' 00' 102° 0°46' -01' 102° 0°34' -02' 102° 0°21' -03' 102° 0°09' -04' 102° 0°04' +05' 78° 0°16' +06' 78° 12

13 0°58' 00' 103° 0°45' -01' 103° 0°31' -02' 103° 0°18' -03' 103° 0°04' -04' 103° 0°09' +05' 77° 0°23' +06' 77° 13

14 0°58' 00' 104° 0°44' -01' 104° 0°29' -02' 104° 0°15' -03' 104° 0°00' -04' 104° 0°14' +05' 76° 0°29' +06' 76° 14

15 0°58' 00' 105° 0°42' -01' 105° 0°27' -02' 105° 0°11' -03' 105° 0°04' +04' 75° 0°20' +05' 75° 0°35' +06' 75° 15

16 0°58' 00' 106° 0°41' -01' 106° 0°25' -02' 106° 0°08' -03' 106° 0°09' +04' 74° 0°25' +05' 74° 0°42' +06' 74° 16

17 0°57' 00' 107° 0°40' -01' 107° 0°22' -02' 107° 0°05' -03' 107° 0°13' +04' 73° 0°30' +05' 73° 0°48' +06' 73° 17

18 0°57' 00' 108° 0°39' -01' 108° 0°20' -02' 108° 0°01' -03' 108° 0°17' +04' 72° 0°36' +05' 72° 0°54' +06' 72° 18

19 0°57' 00' 109° 0°37' -01' 109° 0°18' -02' 109° 0°02' +03' 71° 0°21' +04' 71° 0°41' +05' 71° 1°01' +06' 71° 19

20 0°56' 00' 110° 0°36' -01' 110° 0°15' -02' 110° 0°05' +03' 70° 0°26' +04' 70° 0°46' +05' 70° 1°07' +06' 70° 20

21 0°56' 00' 111° 0°35' -01' 111° 0°13' -02' 111° 0°09' +03' 69° 0°30' +04' 69° 0°52' +05' 69° 1°13' +06' 69° 21

22 0°56' 00' 112° 0°33' -01' 112° 0°11' -02' 112° 0°12' +03' 68° 0°34' +04' 68° 0°57' +05' 68° 1°19' +06' 68° 22

23 0°55' 00' 113° 0°32' -01' 113° 0°08' -02' 113° 0°15' +03' 67° 0°39' +04' 67° 1°02' +05' 67° 1°25' +06' 67° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

90° 270° LHA 90° 270° LHA

90° 270° LHA 90° 270° LHA

Latitude SAME or CONTRARY as Declination

Latitude CONTRARY or SAME as Declination

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

89° 271° LHA 89° 271° LHALatitude CONTRARY to Declination

91° 269° LHA 91° 269° LHALatitude SAME as DECLINATION

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Page 49: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 2°00' 00' 90° 2°00' -01' 90° 2°00' -02' 90° 2°00' -03' 90° 2°00' -04' 90° 2°00' -05' 90° 1°59' -06' 90° 0

1 2°00' 00' 91° 1°59' -01' 91° 1°58' -02' 91° 1°57' -03' 91° 1°56' -04' 91° 1°54' -05' 91° 1°53' -06' 91° 1

2 2°00' 00' 92° 1°58' -01' 92° 1°56' -02' 92° 1°53' -03' 92° 1°51' -04' 92° 1°49' -05' 92° 1°47' -06' 92° 2

3 2°00' 00' 93° 1°57' -01' 93° 1°53' -02' 93° 1°50' -03' 93° 1°47' -04' 93° 1°44' -05' 93° 1°40' -06' 93° 3

4 2°00' 00' 94° 1°56' -01' 94° 1°51' -02' 94° 1°47' -03' 94° 1°43' -04' 94° 1°38' -05' 94° 1°34' -06' 94° 4

5 2°00' 00' 95° 1°54' -01' 95° 1°49' -02' 95° 1°44' -03' 95° 1°38' -04' 95° 1°33' -05' 95° 1°28' -06' 95° 5

6 1°59' 00' 96° 1°53' -01' 96° 1°47' -02' 96° 1°40' -03' 96° 1°34' -04' 96° 1°28' -05' 96° 1°21' -06' 96° 6

7 1°59' 00' 97° 1°52' -01' 97° 1°44' -02' 97° 1°37' -03' 97° 1°30' -04' 97° 1°22' -05' 97° 1°15' -06' 97° 7

8 1°59' 00' 98° 1°50' -01' 98° 1°42' -02' 98° 1°34' -03' 98° 1°25' -04' 98° 1°17' -05' 98° 1°08' -07' 98° 8

9 1°59' 00' 99° 1°49' -01' 99° 1°40' -02' 99° 1°30' -03' 99° 1°21' -04' 99° 1°11' -06' 99° 1°02' -07' 99° 9

10 1°58' 00' 100° 1°48' -01' 100° 1°37' -02' 100° 1°27' -03' 100° 1°16' -04' 100° 1°06' -06' 100° 0°55' -07' 100° 10

11 1°58' 00' 101° 1°46' -01' 101° 1°35' -02' 101° 1°23' -03' 101° 1°12' -05' 101° 1°00' -06' 101° 0°49' -07' 101° 11

12 1°57' 00' 102° 1°45' -01' 102° 1°32' -02' 102° 1°20' -04' 102° 1°07' -05' 102° 0°55' -06' 102° 0°42' -07' 102° 12

13 1°57' 00' 103° 1°43' -02' 103° 1°30' -03' 103° 1°16' -04' 103° 1°03' -05' 103° 0°49' -06' 103° 0°35' -07' 103° 13

14 1°56' -01' 104° 1°42' -02' 104° 1°27' -03' 104° 1°13' -04' 104° 0°58' -05' 104° 0°43' -06' 104° 0°29' -07' 104° 14

15 1°56' -01' 105° 1°40' -02' 105° 1°25' -03' 105° 1°09' -04' 105° 0°54' -05' 105° 0°38' -06' 105° 0°22' -07' 105° 15

16 1°55' -01' 106° 1°39' -02' 106° 1°22' -03' 106° 1°06' -04' 106° 0°49' -05' 106° 0°32' -06' 106° 0°16' -07' 106° 16

17 1°55' -01' 107° 1°37' -02' 107° 1°20' -03' 107° 1°02' -04' 107° 0°44' -05' 107° 0°27' -06' 107° 0°09' -07' 107° 17

18 1°54' -01' 108° 1°36' -02' 108° 1°17' -03' 108° 0°58' -04' 108° 0°40' -05' 108° 0°21' -06' 108° 0°02' -07' 108° 18

19 1°53' -01' 109° 1°34' -02' 109° 1°14' -03' 109° 0°55' -04' 109° 0°35' -05' 109° 0°15' -06' 109° 0°04' +07' 71° 19

20 1°53' -01' 110° 1°32' -02' 110° 1°12' -03' 110° 0°51' -04' 110° 0°30' -05' 110° 0°10' -06' 110° 0°11' +07' 70° 20

21 1°52' -01' 111° 1°30' -02' 111° 1°09' -03' 111° 0°47' -04' 111° 0°26' -05' 111° 0°04' -06' 111° 0°17' +07' 69° 21

22 1°51' -01' 112° 1°29' -02' 112° 1°06' -03' 112° 0°44' -04' 112° 0°21' -05' 112° 0°01' +06' 68° 0°24' +07' 68° 22

23 1°50' -01' 113° 1°27' -02' 113° 1°03' -03' 113° 0°40' -04' 113° 0°16' -05' 113° 0°07' +06' 67° 0°31' +07' 67° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 3°00' 00' 90° 3°00' -01' 90° 3°00' -02' 90° 3°00' -03' 90° 3°00' -04' 90° 2°59' -05' 90° 2°59' -06' 90° 0

1 3°00' 00' 91° 2°59' -01' 91° 2°58' -02' 91° 2°57' -03' 91° 2°55' -04' 91° 2°54' -05' 91° 2°53' -06' 91° 1

2 3°00' 00' 92° 2°58' -01' 92° 2°56' -02' 92° 2°53' -03' 92° 2°51' -04' 92° 2°49' -05' 92° 2°46' -06' 92° 2

3 3°00' 00' 93° 2°57' -01' 93° 2°53' -02' 93° 2°50' -03' 93° 2°47' -04' 93° 2°43' -05' 93° 2°40' -06' 93° 3

4 3°00' 00' 94° 2°55' -01' 94° 2°51' -02' 94° 2°47' -03' 94° 2°42' -04' 94° 2°38' -05' 94° 2°33' -07' 94° 4

5 2°59' 00' 95° 2°54' -01' 95° 2°49' -02' 95° 2°43' -03' 95° 2°38' -04' 95° 2°32' -06' 95° 2°27' -07' 95° 5

6 2°59' 00' 96° 2°53' -01' 96° 2°46' -02' 96° 2°40' -03' 96° 2°33' -05' 96° 2°27' -06' 96° 2°20' -07' 96° 6

7 2°59' 00' 97° 2°51' -01' 97° 2°44' -02' 97° 2°36' -04' 97° 2°29' -05' 97° 2°21' -06' 97° 2°14' -07' 97° 7

8 2°58' 00' 98° 2°50' -02' 98° 2°41' -03' 98° 2°33' -04' 98° 2°24' -05' 98° 2°16' -06' 98° 2°07' -07' 98° 8

9 2°58' -01' 99° 2°48' -02' 99° 2°39' -03' 99° 2°29' -04' 99° 2°20' -05' 99° 2°10' -06' 99° 2°01' -07' 99° 9

10 2°57' -01' 100° 2°47' -02' 100° 2°36' -03' 100° 2°26' -04' 100° 2°15' -05' 100° 2°05' -06' 100° 1°54' -07' 100° 10

11 2°57' -01' 101° 2°45' -02' 101° 2°34' -03' 101° 2°22' -04' 101° 2°10' -05' 101° 1°59' -06' 101° 1°47' -07' 101° 11

12 2°56' -01' 102° 2°44' -02' 102° 2°31' -03' 102° 2°18' -04' 102° 2°06' -05' 102° 1°53' -06' 102° 1°40' -07' 102° 12

13 2°55' -01' 103° 2°42' -02' 103° 2°28' -03' 103° 2°15' -04' 103° 2°01' -05' 103° 1°47' -06' 103° 1°34' -07' 103° 13

14 2°55' -01' 104° 2°40' -02' 104° 2°25' -03' 104° 2°11' -04' 104° 1°56' -05' 104° 1°41' -06' 104° 1°27' -07' 104° 14

15 2°54' -01' 105° 2°38' -02' 105° 2°23' -03' 105° 2°07' -04' 105° 1°51' -05' 105° 1°36' -06' 105° 1°20' -07' 105° 15

16 2°53' -01' 106° 2°36' -02' 106° 2°20' -03' 106° 2°03' -04' 106° 1°46' -05' 106° 1°30' -06' 106° 1°13' -07' 106° 16

17 2°52' -01' 107° 2°35' -02' 107° 2°17' -03' 107° 1°59' -04' 107° 1°42' -05' 107° 1°24' -06' 107° 1°06' -07' 107° 17

18 2°51' -01' 108° 2°33' -02' 108° 2°14' -03' 108° 1°55' -04' 108° 1°37' -05' 108° 1°18' -06' 108° 0°59' -07' 108° 18

19 2°50' -01' 109° 2°31' -02' 109° 2°11' -03' 109° 1°51' -04' 109° 1°32' -05' 109° 1°12' -06' 109° 0°52' -07' 109° 19

20 2°49' -01' 110° 2°29' -02' 110° 2°08' -03' 110° 1°47' -04' 110° 1°27' -05' 110° 1°06' -06' 110° 0°45' -07' 110° 20

21 2°48' -01' 111° 2°26' -02' 111° 2°05' -03' 111° 1°43' -04' 111° 1°22' -05' 111° 1°00' -06' 111° 0°38' -07' 111° 21

22 2°47' -01' 112° 2°24' -02' 112° 2°02' -03' 112° 1°39' -04' 112° 1°17' -05' 112° 0°54' -06' 112° 0°31' -07' 112° 22

23 2°46' -01' 113° 2°22' -02' 113° 1°59' -03' 113° 1°35' -04' 113° 1°12' -05' 113° 0°48' -06' 113° 0°24' -07' 113° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

92° 268° LHA Latitude SAME as DECLINATION 92° 268° LHA

87° 273° LHA Latitude CONTRARY to Declination 87° 273° LHA

87° 273° LHA Latitude CONTRARY to DECLINATION 87° 273° LHA

88° 272° LHA Latitude CONTRARY to Declination 88° 272° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

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Page 50: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 4°00' 00' 90° 4°00' -01' 90° 4°00' -02' 90° 4°00' -03' 90° 3°59' -04' 90° 3°59' -05' 90° 3°59' -06' 90° 0

1 4°00' 00' 91° 3°59' -01' 91° 3°58' -02' 91° 3°56' -03' 91° 3°55' -04' 91° 3°54' -05' 91° 3°52' -06' 91° 1

2 4°00' 00' 92° 3°58' -01' 92° 3°56' -02' 92° 3°53' -03' 92° 3°51' -04' 92° 3°48' -05' 92° 3°46' -06' 92° 2

3 4°00' 00' 93° 3°56' -01' 93° 3°53' -02' 93° 3°50' -03' 93° 3°47' -04' 93° 3°43' -05' 93° 3°40' -07' 93° 3

4 3°59' 00' 94° 3°55' -01' 94° 3°51' -02' 94° 3°47' -03' 94° 3°42' -05' 94° 3°38' -06' 94° 3°33' -07' 94° 4

5 3°59' 00' 95° 3°54' -01' 95° 3°48' -02' 95° 3°43' -04' 95° 3°38' -05' 95° 3°32' -06' 95° 3°26' -07' 95° 5

6 3°59' 00' 96° 3°52' -02' 96° 3°46' -03' 96° 3°40' -04' 96° 3°33' -05' 96° 3°26' -06' 96° 3°20' -07' 96° 6

7 3°58' -01' 97° 3°51' -02' 97° 3°43' -03' 97° 3°36' -04' 97° 3°28' -05' 97° 3°21' -06' 97° 3°13' -07' 97° 7

8 3°58' -01' 98° 3°49' -02' 98° 3°41' -03' 98° 3°32' -04' 98° 3°24' -05' 98° 3°15' -06' 98° 3°06' -07' 98° 8

9 3°57' -01' 99° 3°48' -02' 99° 3°38' -03' 99° 3°29' -04' 99° 3°19' -05' 99° 3°09' -06' 99° 2°59' -07' 99° 9

10 3°56' -01' 100° 3°46' -02' 100° 3°35' -03' 100° 3°25' -04' 100° 3°14' -05' 100° 3°03' -06' 100° 2°53' -07' 100° 10

11 3°56' -01' 101° 3°44' -02' 101° 3°32' -03' 101° 3°21' -04' 101° 3°09' -05' 101° 2°57' -06' 101° 2°46' -07' 101° 11

12 3°55' -01' 102° 3°42' -02' 102° 3°30' -03' 102° 3°17' -04' 102° 3°04' -05' 102° 2°51' -06' 102° 2°39' -07' 102° 12

13 3°54' -01' 103° 3°40' -02' 103° 3°27' -03' 103° 3°13' -04' 103° 2°59' -05' 103° 2°45' -06' 103° 2°32' -07' 103° 13

14 3°53' -01' 104° 3°38' -02' 104° 3°24' -03' 104° 3°09' -04' 104° 2°54' -05' 104° 2°39' -06' 104° 2°25' -07' 104° 14

15 3°52' -01' 105° 3°36' -02' 105° 3°21' -03' 105° 3°05' -04' 105° 2°49' -05' 105° 2°33' -06' 105° 2°17' -07' 105° 15

16 3°51' -01' 106° 3°34' -02' 106° 3°17' -03' 106° 3°01' -04' 106° 2°44' -05' 106° 2°27' -06' 106° 2°10' -07' 106° 16

17 3°49' -01' 107° 3°32' -02' 107° 3°14' -03' 107° 2°56' -04' 107° 2°39' -05' 107° 2°21' -06' 107° 2°03' -07' 107° 17

18 3°48' -01' 108° 3°30' -02' 108° 3°11' -03' 108° 2°52' -04' 108° 2°33' -05' 108° 2°15' -06' 108° 1°56' -07' 108° 18

19 3°47' -01' 109° 3°27' -02' 109° 3°08' -03' 109° 2°48' -04' 109° 2°28' -05' 109° 2°08' -06' 109° 1°49' -07' 109° 19

20 3°46' -01' 110° 3°25' -02' 110° 3°04' -03' 110° 2°44' -04' 110° 2°23' -05' 110° 2°02' -06' 110° 1°41' -07' 110° 20

21 3°44' -02' 111° 3°22' -03' 111° 3°01' -03' 111° 2°39' -04' 111° 2°17' -05' 111° 1°56' -06' 111° 1°34' -07' 111° 21

22 3°42' -02' 112° 3°20' -03' 112° 2°57' -04' 112° 2°35' -05' 112° 2°12' -05' 112° 1°49' -06' 112° 1°27' -07' 112° 22

23 3°41' -02' 113° 3°17' -03' 113° 2°54' -04' 113° 2°30' -05' 113° 2°07' -06' 113° 1°43' -06' 113° 1°19' -07' 113° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 5°00' 00' 90° 5°00' -01' 90° 5°00' -02' 90° 5°00' -03' 90° 4°59' -04' 90° 4°59' -05' 90° 4°58' -06' 91° 0

1 5°00' 00' 91° 4°59' -01' 91° 4°58' -02' 91° 4°56' -03' 91° 4°55' -04' 91° 4°54' -05' 91° 4°52' -06' 92° 1

2 5°00' 00' 92° 4°58' -01' 92° 4°55' -02' 92° 4°53' -03' 92° 4°51' -04' 92° 4°48' -05' 92° 4°46' -07' 93° 2

3 5°00' 00' 93° 4°56' -01' 93° 4°53' -02' 93° 4°50' -03' 93° 4°46' -05' 93° 4°43' -06' 93° 4°39' -07' 94° 3

4 4°59' 00' 94° 4°55' -01' 94° 4°51' -03' 94° 4°46' -04' 94° 4°42' -05' 94° 4°37' -06' 94° 4°32' -07' 95° 4

5 4°59' -01' 95° 4°54' -02' 95° 4°48' -03' 95° 4°43' -04' 95° 4°37' -05' 95° 4°32' -06' 95° 4°26' -07' 96° 5

6 4°58' -01' 96° 4°52' -02' 96° 4°46' -03' 96° 4°39' -04' 96° 4°32' -05' 96° 4°26' -06' 96° 4°19' -07' 97° 6

7 4°58' -01' 97° 4°50' -02' 97° 4°43' -03' 97° 4°35' -04' 97° 4°28' -05' 97° 4°20' -06' 97° 4°12' -07' 98° 7

8 4°57' -01' 98° 4°49' -02' 98° 4°40' -03' 98° 4°32' -04' 98° 4°23' -05' 98° 4°14' -06' 98° 4°05' -07' 98° 8

9 4°56' -01' 99° 4°47' -02' 99° 4°37' -03' 99° 4°28' -04' 99° 4°18' -05' 99° 4°08' -06' 99° 3°58' -07' 99° 9

10 4°55' -01' 100° 4°45' -02' 100° 4°34' -03' 100° 4°24' -04' 100° 4°13' -05' 100° 4°02' -06' 100° 3°51' -07' 100° 10

11 4°54' -01' 101° 4°43' -02' 101° 4°31' -03' 101° 4°20' -04' 101° 4°08' -05' 101° 3°56' -06' 101° 3°44' -07' 101° 11

12 4°53' -01' 102° 4°41' -02' 102° 4°28' -03' 102° 4°15' -04' 102° 4°03' -05' 102° 3°50' -06' 102° 3°37' -07' 102° 12

13 4°52' -01' 103° 4°39' -02' 103° 4°25' -03' 103° 4°11' -04' 103° 3°57' -05' 103° 3°44' -06' 103° 3°30' -07' 103° 13

14 4°51' -01' 104° 4°36' -02' 104° 4°22' -03' 104° 4°07' -04' 104° 3°52' -05' 104° 3°37' -06' 104° 3°22' -07' 104° 14

15 4°50' -01' 105° 4°34' -02' 105° 4°18' -03' 105° 4°03' -04' 105° 3°47' -05' 105° 3°31' -06' 105° 3°15' -07' 105° 15

16 4°48' -01' 106° 4°32' -02' 106° 4°15' -04' 106° 3°58' -05' 106° 3°41' -06' 106° 3°24' -07' 106° 3°07' -08' 106° 16

17 4°47' -02' 107° 4°29' -03' 107° 4°11' -04' 107° 3°54' -05' 107° 3°36' -06' 107° 3°18' -07' 107° 3°00' -08' 107° 17

18 4°45' -02' 108° 4°27' -03' 108° 4°08' -04' 108° 3°49' -05' 108° 3°30' -06' 108° 3°11' -07' 108° 2°52' -08' 108° 18

19 4°44' -02' 109° 4°24' -03' 109° 4°04' -04' 109° 3°44' -05' 109° 3°25' -06' 109° 3°05' -07' 109° 2°45' -08' 109° 19

20 4°42' -02' 110° 4°21' -03' 110° 4°01' -04' 110° 3°40' -05' 110° 3°19' -06' 110° 2°58' -07' 110° 2°37' -08' 110° 20

21 4°40' -02' 111° 4°18' -03' 111° 3°57' -04' 111° 3°35' -05' 111° 3°13' -06' 111° 2°51' -07' 111° 2°29' -08' 111° 21

22 4°38' -02' 112° 4°16' -03' 112° 3°53' -04' 112° 3°30' -05' 112° 3°07' -06' 112° 2°45' -07' 112° 2°22' -08' 112° 22

23 4°36' -02' 113° 4°13' -03' 113° 3°49' -04' 113° 3°25' -05' 113° 3°02' -06' 113° 2°38' -07' 113° 2°14' -08' 113° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

86° 274° LHA Latitude CONTRARY to Declination 86° 274° LHA

86° 274° LHA Latitude CONTRARY to DECLINATION 86° 274° LHA

85° 275° LHA Latitude CONTRARY to Declination 85° 275° LHA

85° 275° LHA Latitude CONTRARY to DECLINATION 85° 275° LHA

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Page 51: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 6°00' 00' 90° 6°00' -01' 90° 6°00' -02' 90° 6°00' -03' 90° 5°59' -04' 90° 5°59' -05' 91° 5°58' -06' 91° 0

1 6°00' 00' 91° 5°59' -01' 91° 5°58' -02' 91° 5°56' -03' 91° 5°55' -04' 91° 5°53' -05' 92° 5°52' -06' 92° 1

2 6°00' 00' 92° 5°58' -01' 92° 5°55' -02' 92° 5°53' -03' 92° 5°50' -04' 92° 5°48' -06' 93° 5°45' -07' 93° 2

3 6°00' 00' 93° 5°56' -01' 93° 5°53' -02' 93° 5°50' -04' 93° 5°46' -05' 93° 5°42' -06' 94° 5°39' -07' 94° 3

4 5°59' 00' 94° 5°55' -02' 94° 5°50' -03' 94° 5°46' -04' 94° 5°41' -05' 94° 5°37' -06' 95° 5°32' -07' 95° 4

5 5°59' -01' 95° 5°53' -02' 95° 5°48' -03' 95° 5°42' -04' 95° 5°37' -05' 95° 5°31' -06' 96° 5°25' -07' 96° 5

6 5°58' -01' 96° 5°52' -02' 96° 5°45' -03' 96° 5°39' -04' 96° 5°32' -05' 96° 5°25' -06' 97° 5°18' -07' 97° 6

7 5°57' -01' 97° 5°50' -02' 97° 5°42' -03' 97° 5°35' -04' 97° 5°27' -05' 97° 5°19' -06' 98° 5°11' -07' 98° 7

8 5°56' -01' 98° 5°48' -02' 98° 5°39' -03' 98° 5°31' -04' 98° 5°22' -05' 98° 5°13' -06' 99° 5°04' -07' 99° 8

9 5°56' -01' 99° 5°46' -02' 99° 5°36' -03' 99° 5°27' -04' 99° 5°17' -05' 99° 5°07' -06' 100° 4°57' -07' 100° 9

10 5°55' -01' 100° 5°44' -02' 100° 5°33' -03' 100° 5°23' -04' 100° 5°12' -05' 100° 5°01' -06' 101° 4°50' -07' 101° 10

11 5°53' -01' 101° 5°42' -02' 101° 5°30' -03' 101° 5°18' -04' 101° 5°07' -05' 101° 4°55' -06' 102° 4°43' -07' 102° 11

12 5°52' -01' 102° 5°40' -02' 102° 5°27' -03' 102° 5°14' -04' 102° 5°01' -05' 102° 4°48' -06' 103° 4°35' -07' 103° 12

13 5°51' -01' 103° 5°37' -02' 103° 5°23' -04' 103° 5°10' -05' 103° 4°56' -06' 103° 4°42' -07' 104° 4°28' -08' 104° 13

14 5°49' -02' 104° 5°35' -03' 104° 5°20' -04' 104° 5°05' -05' 104° 4°50' -06' 104° 4°35' -07' 105° 4°20' -08' 105° 14

15 5°48' -02' 105° 5°32' -03' 105° 5°16' -04' 105° 5°00' -05' 105° 4°45' -06' 105° 4°29' -07' 106° 4°12' -08' 106° 15

16 5°46' -02' 106° 5°29' -03' 106° 5°13' -04' 106° 4°56' -05' 106° 4°39' -06' 106° 4°22' -07' 107° 4°05' -08' 107° 16

17 5°44' -02' 107° 5°27' -03' 107° 5°09' -04' 107° 4°51' -05' 107° 4°33' -06' 107° 4°15' -07' 108° 3°57' -08' 108° 17

18 5°42' -02' 108° 5°24' -03' 108° 5°05' -04' 108° 4°46' -05' 108° 4°27' -06' 108° 4°08' -07' 109° 3°49' -08' 109° 18

19 5°40' -02' 109° 5°21' -03' 109° 5°01' -04' 109° 4°41' -05' 109° 4°21' -06' 109° 4°01' -07' 109° 3°41' -08' 110° 19

20 5°38' -02' 110° 5°18' -03' 110° 4°57' -04' 110° 4°36' -05' 110° 4°15' -06' 110° 3°54' -07' 110° 3°33' -08' 111° 20

21 5°36' -02' 111° 5°14' -03' 111° 4°53' -04' 111° 4°31' -05' 111° 4°09' -06' 111° 3°47' -07' 111° 3°25' -08' 112° 21

22 5°34' -02' 112° 5°11' -03' 112° 4°48' -04' 112° 4°26' -05' 112° 4°03' -06' 112° 3°40' -07' 112° 3°17' -08' 113° 22

23 5°31' -03' 113° 5°08' -03' 113° 4°44' -04' 113° 4°20' -05' 113° 3°56' -06' 113° 3°33' -07' 113° 3°09' -08' 114° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 7°00' 00' 90° 7°00' -01' 90° 7°00' -02' 90° 6°59' -03' 90° 6°59' -04' 90° 6°58' -05' 91° 6°58' -06' 91° 0

1 7°00' 00' 91° 6°59' -01' 91° 6°58' -02' 91° 6°56' -03' 91° 6°55' -04' 91° 6°53' -05' 92° 6°51' -07' 92° 1

2 7°00' 00' 92° 6°58' -01' 92° 6°55' -02' 92° 6°53' -03' 92° 6°50' -05' 93° 6°48' -06' 93° 6°45' -07' 93° 2

3 6°59' 00' 93° 6°56' -02' 93° 6°53' -03' 93° 6°49' -04' 93° 6°46' -05' 94° 6°42' -06' 94° 6°38' -07' 94° 3

4 6°59' -01' 94° 6°55' -02' 94° 6°50' -03' 94° 6°46' -04' 94° 6°41' -05' 95° 6°36' -06' 95° 6°31' -07' 95° 4

5 6°58' -01' 95° 6°53' -02' 95° 6°48' -03' 95° 6°42' -04' 95° 6°36' -05' 96° 6°30' -06' 96° 6°25' -07' 96° 5

6 6°58' -01' 96° 6°51' -02' 96° 6°45' -03' 96° 6°38' -04' 96° 6°31' -05' 97° 6°25' -06' 97° 6°18' -07' 97° 6

7 6°57' -01' 97° 6°49' -02' 97° 6°42' -03' 97° 6°34' -04' 97° 6°26' -05' 98° 6°19' -06' 98° 6°10' -07' 98° 7

8 6°56' -01' 98° 6°47' -02' 98° 6°39' -03' 98° 6°30' -04' 98° 6°21' -05' 99° 6°12' -06' 99° 6°03' -07' 99° 8

9 6°55' -01' 99° 6°45' -02' 99° 6°36' -03' 99° 6°26' -04' 99° 6°16' -05' 100° 6°06' -06' 100° 5°56' -07' 100° 9

10 6°54' -01' 100° 6°43' -02' 100° 6°32' -03' 100° 6°22' -04' 100° 6°11' -05' 101° 6°00' -07' 101° 5°49' -08' 101° 10

11 6°52' -01' 101° 6°41' -03' 101° 6°29' -04' 101° 6°17' -05' 101° 6°05' -06' 102° 5°53' -07' 102° 5°41' -08' 102° 11

12 6°51' -02' 102° 6°38' -03' 102° 6°25' -04' 102° 6°13' -05' 102° 6°00' -06' 103° 5°47' -07' 103° 5°33' -08' 103° 12

13 6°49' -02' 103° 6°36' -03' 103° 6°22' -04' 103° 6°08' -05' 103° 5°54' -06' 104° 5°40' -07' 104° 5°26' -08' 104° 13

14 6°47' -02' 104° 6°33' -03' 104° 6°18' -04' 104° 6°03' -05' 104° 5°48' -06' 105° 5°33' -07' 105° 5°18' -08' 105° 14

15 6°46' -02' 105° 6°30' -03' 105° 6°14' -04' 105° 5°58' -05' 105° 5°42' -06' 106° 5°26' -07' 106° 5°10' -08' 106° 15

16 6°44' -02' 106° 6°27' -03' 106° 6°10' -04' 106° 5°53' -05' 106° 5°36' -06' 107° 5°19' -07' 107° 5°02' -08' 107° 16

17 6°42' -02' 107° 6°24' -03' 107° 6°06' -04' 107° 5°48' -05' 107° 5°30' -06' 108° 5°12' -07' 108° 4°54' -08' 108° 17

18 6°39' -02' 108° 6°21' -03' 108° 6°02' -04' 108° 5°43' -05' 108° 5°24' -06' 109° 5°05' -07' 109° 4°46' -08' 109° 18

19 6°37' -02' 109° 6°17' -03' 109° 5°57' -04' 109° 5°38' -05' 109° 5°18' -06' 110° 4°57' -07' 110° 4°37' -08' 110° 19

20 6°35' -03' 110° 6°14' -04' 110° 5°53' -05' 110° 5°32' -06' 110° 5°11' -07' 111° 4°50' -07' 111° 4°29' -08' 111° 20

21 6°32' -03' 111° 6°10' -04' 111° 5°48' -05' 111° 5°27' -06' 111° 5°05' -07' 112° 4°43' -08' 112° 4°20' -09' 112° 21

22 6°29' -03' 112° 6°07' -04' 112° 5°44' -05' 112° 5°21' -06' 112° 4°58' -07' 113° 4°35' -08' 113° 4°12' -09' 113° 22

23 6°26' -03' 113° 6°03' -04' 113° 5°39' -05' 113° 5°15' -06' 113° 4°51' -07' 114° 4°27' -08' 114° 4°03' -09' 114° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

84° 276° LHA Latitude CONTRARY to Declination 84° 276° LHA

84° 276° LHA Latitude CONTRARY to DECLINATION 84° 276° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

83° 277° LHA Latitude CONTRARY to Declination 83° 277° LHA

83° 277° LHA Latitude CONTRARY to DECLINATION 83° 277° LHA

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Page 52: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 8°00' 00' 90° 8°00' -01' 90° 8°00' -02' 90° 7°59' -03' 90° 7°59' -04' 91° 7°58' -05' 91° 7°57' -06' 91° 0

1 8°00' 00' 91° 7°59' -01' 91° 7°58' -02' 91° 7°56' -03' 91° 7°55' -04' 92° 7°53' -05' 92° 7°51' -07' 92° 1

2 8°00' 00' 92° 7°58' -01' 92° 7°55' -02' 92° 7°53' -04' 92° 7°50' -05' 93° 7°47' -06' 93° 7°44' -07' 93° 2

3 7°59' -01' 93° 7°56' -02' 93° 7°53' -03' 93° 7°49' -04' 93° 7°45' -05' 94° 7°42' -06' 94° 7°38' -07' 94° 3

4 7°59' -01' 94° 7°55' -02' 94° 7°50' -03' 94° 7°45' -04' 94° 7°41' -05' 95° 7°36' -06' 95° 7°31' -07' 95° 4

5 7°58' -01' 95° 7°53' -02' 95° 7°47' -03' 95° 7°42' -04' 95° 7°36' -05' 96° 7°30' -06' 96° 7°24' -07' 96° 5

6 7°57' -01' 96° 7°51' -02' 96° 7°44' -03' 96° 7°38' -04' 96° 7°31' -05' 97° 7°24' -06' 97° 7°17' -07' 97° 6

7 7°56' -01' 97° 7°49' -02' 97° 7°41' -03' 97° 7°34' -04' 97° 7°26' -05' 98° 7°18' -06' 98° 7°10' -07' 98° 7

8 7°55' -01' 98° 7°47' -02' 98° 7°38' -03' 98° 7°29' -04' 98° 7°20' -05' 99° 7°11' -06' 99° 7°02' -07' 99° 8

9 7°54' -01' 99° 7°45' -02' 99° 7°35' -03' 99° 7°25' -05' 99° 7°15' -06' 100° 7°05' -07' 100° 6°55' -08' 100° 9

10 7°53' -02' 100° 7°42' -03' 100° 7°31' -04' 100° 7°20' -05' 100° 7°10' -06' 101° 6°58' -07' 101° 6°47' -08' 101° 10

11 7°51' -02' 101° 7°39' -03' 101° 7°28' -04' 101° 7°16' -05' 101° 7°04' -06' 102° 6°52' -07' 102° 6°39' -08' 102° 11

12 7°49' -02' 102° 7°37' -03' 102° 7°24' -04' 102° 7°11' -05' 103° 6°58' -06' 103° 6°45' -07' 103° 6°32' -08' 103° 12

13 7°48' -02' 103° 7°34' -03' 103° 7°20' -04' 103° 7°06' -05' 104° 6°52' -06' 104° 6°38' -07' 104° 6°24' -08' 104° 13

14 7°46' -02' 104° 7°31' -03' 104° 7°16' -04' 104° 7°01' -05' 105° 6°46' -06' 105° 6°31' -07' 105° 6°16' -08' 105° 14

15 7°44' -02' 105° 7°28' -03' 105° 7°12' -04' 105° 6°56' -05' 106° 6°40' -06' 106° 6°24' -07' 106° 6°07' -08' 106° 15

16 7°41' -02' 106° 7°25' -03' 106° 7°08' -04' 106° 6°51' -05' 107° 6°34' -06' 107° 6°16' -07' 107° 5°59' -08' 107° 16

17 7°39' -03' 107° 7°21' -04' 107° 7°03' -05' 107° 6°45' -06' 108° 6°27' -07' 108° 6°09' -08' 108° 5°51' -09' 108° 17

18 7°36' -03' 108° 7°18' -04' 108° 6°59' -05' 108° 6°40' -06' 109° 6°21' -07' 109° 6°01' -08' 109° 5°42' -09' 109° 18

19 7°34' -03' 109° 7°14' -04' 109° 6°54' -05' 109° 6°34' -06' 110° 6°14' -07' 110° 5°54' -08' 110° 5°33' -09' 110° 19

20 7°31' -03' 110° 7°10' -04' 110° 6°49' -05' 110° 6°28' -06' 111° 6°07' -07' 111° 5°46' -08' 111° 5°25' -09' 111° 20

21 7°28' -03' 111° 7°06' -04' 111° 6°44' -05' 111° 6°22' -06' 112° 6°00' -07' 112° 5°38' -08' 112° 5°16' -09' 112° 21

22 7°25' -03' 112° 7°02' -04' 112° 6°39' -05' 112° 6°16' -06' 113° 5°53' -07' 113° 5°30' -08' 113° 5°07' -09' 113° 22

23 7°22' -03' 113° 6°58' -04' 113° 6°34' -05' 113° 6°10' -06' 114° 5°46' -07' 114° 5°22' -08' 114° 4°58' -09' 114° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 9°00' 00' 90° 9°00' -01' 90° 9°00' -02' 90° 8°59' -03' 90° 8°59' -04' 91° 8°58' -05' 91° 8°57' -06' 91° 0

1 9°00' 00' 91° 8°59' -01' 91° 8°57' -02' 91° 8°56' -03' 91° 8°54' -04' 92° 8°53' -06' 92° 8°51' -07' 92° 1

2 9°00' 00' 92° 8°57' -01' 92° 8°55' -03' 92° 8°53' -04' 92° 8°50' -05' 93° 8°47' -06' 93° 8°44' -07' 93° 2

3 8°59' -01' 93° 8°56' -02' 93° 8°53' -03' 93° 8°49' -04' 94° 8°45' -05' 94° 8°41' -06' 94° 8°37' -07' 94° 3

4 8°59' -01' 94° 8°54' -02' 94° 8°50' -03' 94° 8°45' -04' 95° 8°40' -05' 95° 8°35' -06' 95° 8°30' -07' 95° 4

5 8°58' -01' 95° 8°53' -02' 95° 8°47' -03' 95° 8°41' -04' 96° 8°35' -05' 96° 8°29' -06' 96° 8°23' -07' 96° 5

6 8°57' -01' 96° 8°51' -02' 96° 8°44' -03' 96° 8°37' -04' 97° 8°30' -05' 97° 8°23' -06' 97° 8°16' -07' 97° 6

7 8°56' -01' 97° 8°48' -02' 97° 8°41' -03' 97° 8°33' -04' 98° 8°25' -05' 98° 8°17' -06' 98° 8°09' -08' 98° 7

8 8°55' -01' 98° 8°46' -02' 98° 8°37' -03' 98° 8°29' -05' 99° 8°20' -06' 99° 8°10' -07' 99° 8°01' -08' 99° 8

9 8°53' -02' 99° 8°44' -03' 99° 8°34' -04' 99° 8°24' -05' 100° 8°14' -06' 100° 8°04' -07' 100° 7°54' -08' 100° 9

10 8°52' -02' 100° 8°41' -03' 100° 8°30' -04' 100° 8°19' -05' 101° 8°08' -06' 101° 7°57' -07' 101° 7°46' -08' 101° 10

11 8°50' -02' 101° 8°38' -03' 101° 8°27' -04' 101° 8°15' -05' 102° 8°02' -06' 102° 7°50' -07' 102° 7°38' -08' 102° 11

12 8°48' -02' 102° 8°35' -03' 102° 8°23' -04' 102° 8°10' -05' 103° 7°56' -06' 103° 7°43' -07' 103° 7°30' -08' 103° 12

13 8°46' -02' 103° 8°32' -03' 103° 8°18' -04' 103° 8°04' -05' 104° 7°50' -06' 104° 7°36' -07' 104° 7°22' -08' 104° 13

14 8°44' -02' 104° 8°29' -03' 104° 8°14' -04' 104° 7°59' -05' 105° 7°44' -06' 105° 7°29' -07' 105° 7°13' -08' 105° 14

15 8°41' -03' 105° 8°26' -04' 105° 8°10' -05' 105° 7°54' -06' 106° 7°37' -07' 106° 7°21' -08' 106° 7°05' -09' 106° 15

16 8°39' -03' 106° 8°22' -04' 106° 8°05' -05' 106° 7°48' -06' 107° 7°31' -07' 107° 7°14' -08' 107° 6°56' -09' 107° 16

17 8°36' -03' 107° 8°18' -04' 107° 8°00' -05' 107° 7°42' -06' 108° 7°24' -07' 108° 7°06' -08' 108° 6°47' -09' 108° 17

18 8°33' -03' 108° 8°15' -04' 108° 7°56' -05' 108° 7°37' -06' 109° 7°17' -07' 109° 6°58' -08' 109° 6°39' -09' 109° 18

19 8°30' -03' 109° 8°11' -04' 109° 7°51' -05' 109° 7°30' -06' 110° 7°10' -07' 110° 6°50' -08' 110° 6°30' -09' 110° 19

20 8°27' -03' 110° 8°06' -04' 110° 7°45' -05' 110° 7°24' -06' 111° 7°03' -07' 111° 6°42' -08' 111° 6°20' -09' 111° 20

21 8°24' -03' 111° 8°02' -04' 111° 7°40' -05' 112° 7°18' -06' 112° 6°56' -07' 112° 6°34' -08' 112° 6°11' -09' 112° 21

22 8°20' -04' 112° 7°58' -05' 112° 7°35' -06' 113° 7°12' -07' 113° 6°49' -08' 113° 6°25' -08' 113° 6°02' -09' 113° 22

23 8°17' -04' 113° 7°53' -05' 113° 7°29' -06' 114° 7°05' -07' 114° 6°41' -08' 114° 6°17' -09' 114° 5°53' -10' 114° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

82° 278° LHA Latitude CONTRARY to DECLINATION 82° 278° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

81° 279° LHA Latitude CONTRARY to Declination 81° 279° LHA

81° 279° LHA Latitude CONTRARY to DECLINATION 81° 279° LHA

82° 278° LHA Latitude CONTRARY to Declination 82° 278° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 53: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 10°00' 00' 90° 10°00' -01' 90° 10°00' -02' 90° 9°59' -03' 91° 9°59' -04' 91° 9°58' -05' 91° 9°57' -06' 91° 0

1 10°00' 00' 91° 9°59' -01' 91° 9°57' -02' 91° 9°56' -03' 92° 9°54' -05' 92° 9°52' -06' 92° 9°50' -07' 92° 1

2 10°00' 00' 92° 9°57' -02' 92° 9°55' -03' 92° 9°52' -04' 93° 9°50' -05' 93° 9°47' -06' 93° 9°44' -07' 93° 2

3 9°59' -01' 93° 9°56' -02' 93° 9°52' -03' 93° 9°49' -04' 94° 9°45' -05' 94° 9°41' -06' 94° 9°37' -07' 94° 3

4 9°59' -01' 94° 9°54' -02' 94° 9°50' -03' 94° 9°45' -04' 95° 9°40' -05' 95° 9°35' -06' 95° 9°30' -07' 95° 4

5 9°58' -01' 95° 9°52' -02' 95° 9°47' -03' 95° 9°41' -04' 96° 9°35' -05' 96° 9°29' -06' 96° 9°23' -07' 96° 5

6 9°57' -01' 96° 9°50' -02' 96° 9°44' -03' 96° 9°37' -04' 97° 9°30' -05' 97° 9°23' -06' 97° 9°15' -08' 97° 6

7 9°55' -01' 97° 9°48' -02' 97° 9°40' -03' 97° 9°32' -05' 98° 9°24' -06' 98° 9°16' -07' 98° 9°08' -08' 98° 7

8 9°54' -02' 98° 9°46' -03' 98° 9°37' -04' 98° 9°28' -05' 99° 9°19' -06' 99° 9°10' -07' 99° 9°00' -08' 99° 8

9 9°53' -02' 99° 9°43' -03' 99° 9°33' -04' 99° 9°23' -05' 100° 9°13' -06' 100° 9°03' -07' 100° 8°52' -08' 100° 9

10 9°51' -02' 100° 9°40' -03' 100° 9°29' -04' 100° 9°18' -05' 101° 9°07' -06' 101° 8°56' -07' 101° 8°44' -08' 101° 10

11 9°49' -02' 101° 9°37' -03' 101° 9°25' -04' 101° 9°13' -05' 102° 9°01' -06' 102° 8°49' -07' 102° 8°36' -08' 102° 11

12 9°47' -02' 102° 9°34' -03' 102° 9°21' -04' 103° 9°08' -05' 103° 8°55' -06' 103° 8°41' -07' 103° 8°28' -08' 103° 12

13 9°44' -02' 103° 9°31' -03' 103° 9°17' -05' 104° 9°03' -06' 104° 8°48' -07' 104° 8°34' -08' 104° 8°19' -09' 104° 13

14 9°42' -03' 104° 9°27' -04' 104° 9°12' -05' 105° 8°57' -06' 105° 8°42' -07' 105° 8°26' -08' 105° 8°11' -09' 105° 14

15 9°39' -03' 105° 9°24' -04' 105° 9°08' -05' 106° 8°51' -06' 106° 8°35' -07' 106° 8°19' -08' 106° 8°02' -09' 106° 15

16 9°37' -03' 106° 9°20' -04' 106° 9°03' -05' 107° 8°45' -06' 107° 8°28' -07' 107° 8°11' -08' 107° 7°53' -09' 107° 16

17 9°34' -03' 107° 9°16' -04' 107° 8°58' -05' 108° 8°39' -06' 108° 8°21' -07' 108° 8°03' -08' 108° 7°44' -09' 108° 17

18 9°30' -03' 108° 9°11' -04' 108° 8°52' -05' 109° 8°33' -06' 109° 8°14' -07' 109° 7°54' -08' 109° 7°35' -09' 109° 18

19 9°27' -04' 109° 9°07' -05' 109° 8°47' -06' 110° 8°27' -07' 110° 8°07' -07' 110° 7°46' -08' 110° 7°26' -09' 110° 19

20 9°23' -04' 110° 9°03' -05' 110° 8°42' -06' 111° 8°20' -07' 111° 7°59' -08' 111° 7°38' -09' 111° 7°16' -10' 111° 20

21 9°20' -04' 111° 8°58' -05' 111° 8°36' -06' 112° 8°14' -07' 112° 7°51' -08' 112° 7°29' -09' 112° 7°07' -10' 112° 21

22 9°16' -04' 112° 8°53' -05' 112° 8°30' -06' 113° 8°07' -07' 113° 7°44' -08' 113° 7°20' -09' 113° 6°57' -10' 113° 22

23 9°12' -04' 113° 8°48' -05' 113° 8°24' -06' 114° 8°00' -07' 114° 7°36' -08' 114° 7°11' -09' 114° 6°47' -10' 114° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 11°00' 00' 90° 11°00' -01' 90° 11°00' -02' 90° 10°59' -03' 91° 10°58' -04' 91° 10°57' -05' 91° 10°56' -06' 91° 0

1 11°00' 00' 91° 10°59' -01' 91° 10°57' -02' 91° 10°56' -04' 92° 10°54' -05' 92° 10°52' -06' 92° 10°50' -07' 92° 1

2 11°00' -01' 92° 10°57' -02' 92° 10°55' -03' 92° 10°52' -04' 93° 10°49' -05' 93° 10°46' -06' 93° 10°43' -07' 93° 2

3 10°59' -01' 93° 10°56' -02' 93° 10°52' -03' 93° 10°49' -04' 94° 10°45' -05' 94° 10°41' -06' 94° 10°36' -07' 94° 3

4 10°58' -01' 94° 10°54' -02' 94° 10°49' -03' 94° 10°45' -04' 95° 10°40' -05' 95° 10°35' -06' 95° 10°29' -07' 95° 4

5 10°57' -01' 95° 10°52' -02' 95° 10°46' -03' 95° 10°41' -04' 96° 10°35' -05' 96° 10°28' -06' 96° 10°22' -07' 96° 5

6 10°56' -01' 96° 10°50' -02' 96° 10°43' -03' 96° 10°36' -04' 97° 10°29' -06' 97° 10°22' -07' 97° 10°14' -08' 97° 6

7 10°55' -02' 97° 10°47' -03' 97° 10°40' -04' 98° 10°32' -05' 98° 10°24' -06' 98° 10°15' -07' 98° 10°07' -08' 98° 7

8 10°53' -02' 98° 10°45' -03' 98° 10°36' -04' 99° 10°27' -05' 99° 10°18' -06' 99° 10°09' -07' 99° 9°59' -08' 99° 8

9 10°52' -02' 99° 10°42' -03' 99° 10°32' -04' 100° 10°22' -05' 100° 10°12' -06' 100° 10°02' -07' 100° 9°51' -08' 100° 9

10 10°50' -02' 100° 10°39' -03' 100° 10°28' -04' 101° 10°17' -05' 101° 10°06' -06' 101° 9°54' -07' 101° 9°43' -08' 101° 10

11 10°48' -02' 101° 10°36' -03' 101° 10°24' -04' 102° 10°12' -05' 102° 10°00' -06' 102° 9°47' -08' 102° 9°34' -09' 102° 11

12 10°45' -03' 102° 10°33' -04' 102° 10°20' -05' 103° 10°06' -06' 103° 9°53' -07' 103° 9°40' -08' 103° 9°26' -09' 103° 12

13 10°43' -03' 103° 10°29' -04' 103° 10°15' -05' 104° 10°01' -06' 104° 9°46' -07' 104° 9°32' -08' 104° 9°17' -09' 104° 13

14 10°40' -03' 104° 10°25' -04' 104° 10°10' -05' 105° 9°55' -06' 105° 9°40' -07' 105° 9°24' -08' 105° 9°08' -09' 105° 14

15 10°37' -03' 105° 10°21' -04' 105° 10°05' -05' 106° 9°49' -06' 106° 9°33' -07' 106° 9°16' -08' 106° 8°59' -09' 106° 15

16 10°34' -03' 106° 10°17' -04' 106° 10°00' -05' 107° 9°43' -06' 107° 9°25' -07' 107° 9°08' -08' 107° 8°50' -09' 107° 16

17 10°31' -04' 107° 10°13' -05' 107° 9°55' -06' 108° 9°37' -07' 108° 9°18' -08' 108° 9°00' -09' 108° 8°41' -10' 108° 17

18 10°27' -04' 108° 10°08' -05' 108° 9°49' -06' 109° 9°30' -07' 109° 9°11' -08' 109° 8°51' -09' 109° 8°31' -10' 109° 18

19 10°24' -04' 109° 10°04' -05' 109° 9°44' -06' 110° 9°23' -07' 110° 9°03' -08' 110° 8°42' -09' 110° 8°22' -10' 110° 19

20 10°20' -04' 110° 9°59' -05' 111° 9°38' -06' 111° 9°16' -07' 111° 8°55' -08' 111° 8°33' -09' 111° 8°12' -10' 111° 20

21 10°16' -04' 111° 9°54' -05' 112° 9°32' -06' 112° 9°09' -07' 112° 8°47' -08' 112° 8°24' -09' 112° 8°02' -10' 112° 21

22 10°11' -04' 112° 9°48' -05' 113° 9°25' -06' 113° 9°02' -07' 113° 8°39' -08' 113° 8°15' -09' 113° 7°52' -10' 113° 22

23 10°07' -05' 113° 9°43' -06' 114° 9°19' -07' 114° 8°55' -08' 114° 8°31' -08' 114° 8°06' -09' 114° 7°41' -10' 114° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

79° 281° LHA Latitude CONTRARY to DECLINATION 79° 281° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

80° 280° LHA Latitude CONTRARY to Declination 80° 280° LHA

80° 280° LHA Latitude CONTRARY to DECLINATION 80° 280° LHA

79° 281° LHA Latitude CONTRARY to Declination 79° 281° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 54: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 12°00' 00' 90° 12°00' -01' 90° 12°00' -02' 90° 11°59' -03' 91° 11°58' -04' 91° 11°57' -05' 91° 11°56' -07' 91° 0

1 12°00' 00' 91° 11°59' -01' 91° 11°57' -02' 91° 11°56' -04' 92° 11°54' -05' 92° 11°52' -06' 92° 11°49' -07' 92° 1

2 12°00' -01' 92° 11°57' -02' 92° 11°55' -03' 92° 11°52' -04' 93° 11°49' -05' 93° 11°46' -06' 93° 11°43' -07' 93° 2

3 11°59' -01' 93° 11°56' -02' 93° 11°52' -03' 93° 11°48' -04' 94° 11°44' -05' 94° 11°40' -06' 94° 11°36' -07' 94° 3

4 11°58' -01' 94° 11°54' -02' 94° 11°49' -03' 95° 11°44' -04' 95° 11°39' -05' 95° 11°34' -06' 95° 11°29' -07' 95° 4

5 11°57' -01' 95° 11°52' -02' 95° 11°46' -03' 96° 11°40' -04' 96° 11°34' -05' 96° 11°28' -07' 96° 11°21' -08' 96° 5

6 11°56' -01' 96° 11°49' -03' 96° 11°43' -04' 97° 11°36' -05' 97° 11°29' -06' 97° 11°21' -07' 97° 11°14' -08' 97° 6

7 11°55' -02' 97° 11°47' -03' 97° 11°39' -04' 98° 11°31' -05' 98° 11°23' -06' 98° 11°15' -07' 98° 11°06' -08' 98° 7

8 11°53' -02' 98° 11°44' -03' 98° 11°35' -04' 99° 11°26' -05' 99° 11°17' -06' 99° 11°08' -07' 99° 10°58' -08' 99° 8

9 11°51' -02' 99° 11°41' -03' 99° 11°31' -04' 100° 11°21' -05' 100° 11°11' -06' 100° 11°00' -07' 100° 10°50' -08' 100° 9

10 11°49' -02' 100° 11°38' -03' 100° 11°27' -04' 101° 11°16' -05' 101° 11°05' -07' 101° 10°53' -08' 101° 10°41' -09' 101° 10

11 11°47' -03' 101° 11°35' -04' 101° 11°23' -05' 102° 11°11' -06' 102° 10°58' -07' 102° 10°46' -08' 102° 10°33' -09' 102° 11

12 11°44' -03' 102° 11°31' -04' 102° 11°18' -05' 103° 11°05' -06' 103° 10°51' -07' 103° 10°38' -08' 103° 10°24' -09' 103° 12

13 11°41' -03' 103° 11°27' -04' 103° 11°13' -05' 104° 10°59' -06' 104° 10°45' -07' 104° 10°30' -08' 104° 10°15' -09' 104° 13

14 11°38' -03' 104° 11°23' -04' 104° 11°08' -05' 105° 10°53' -06' 105° 10°37' -07' 105° 10°22' -08' 105° 10°06' -09' 105° 14

15 11°35' -03' 105° 11°19' -04' 106° 11°03' -05' 106° 10°47' -06' 106° 10°30' -07' 106° 10°13' -08' 106° 9°57' -09' 106° 15

16 11°32' -04' 106° 11°15' -05' 107° 10°58' -06' 107° 10°40' -07' 107° 10°23' -08' 107° 10°05' -09' 107° 9°47' -10' 107° 16

17 11°28' -04' 107° 11°10' -05' 108° 10°52' -06' 108° 10°34' -07' 108° 10°15' -08' 108° 9°56' -09' 108° 9°37' -10' 108° 17

18 11°24' -04' 108° 11°05' -05' 109° 10°46' -06' 109° 10°27' -07' 109° 10°07' -08' 109° 9°47' -09' 109° 9°28' -10' 109° 18

19 11°20' -04' 109° 11°00' -05' 110° 10°40' -06' 110° 10°20' -07' 110° 9°59' -08' 110° 9°38' -09' 110° 9°18' -10' 110° 19

20 11°16' -04' 110° 10°55' -05' 111° 10°34' -06' 111° 10°12' -07' 111° 9°51' -08' 111° 9°29' -09' 111° 9°07' -10' 111° 20

21 11°12' -05' 111° 10°50' -06' 112° 10°27' -07' 112° 10°05' -08' 112° 9°42' -09' 112° 9°20' -10' 112° 8°57' -11' 112° 21

22 11°07' -05' 112° 10°44' -06' 113° 10°21' -07' 113° 9°57' -08' 113° 9°34' -09' 113° 9°10' -10' 113° 8°47' -11' 113° 22

23 11°02' -05' 113° 10°38' -06' 114° 10°14' -07' 114° 9°50' -08' 114° 9°25' -09' 114° 9°01' -10' 114° 8°36' -11' 114° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 13°00' 00' 90° 13°00' -01' 90° 13°00' -02' 90° 12°59' -03' 91° 12°58' -04' 91° 12°57' -05' 91° 12°56' -07' 91° 0

1 13°00' 00' 91° 12°59' -01' 91° 12°57' -03' 91° 12°56' -04' 92° 12°54' -05' 92° 12°51' -06' 92° 12°49' -07' 92° 1

2 13°00' -01' 92° 12°57' -02' 92° 12°55' -03' 93° 12°52' -04' 93° 12°49' -05' 93° 12°46' -06' 93° 12°42' -07' 93° 2

3 12°59' -01' 93° 12°56' -02' 93° 12°52' -03' 94° 12°48' -04' 94° 12°44' -05' 94° 12°40' -06' 94° 12°35' -07' 94° 3

4 12°58' -01' 94° 12°54' -02' 94° 12°49' -03' 95° 12°44' -04' 95° 12°39' -05' 95° 12°34' -06' 95° 12°28' -07' 95° 4

5 12°57' -01' 95° 12°51' -02' 95° 12°46' -03' 96° 12°40' -05' 96° 12°34' -06' 96° 12°27' -07' 96° 12°21' -08' 96° 5

6 12°56' -02' 96° 12°49' -03' 96° 12°42' -04' 97° 12°35' -05' 97° 12°28' -06' 97° 12°21' -07' 97° 12°13' -08' 97° 6

7 12°54' -02' 97° 12°46' -03' 97° 12°39' -04' 98° 12°31' -05' 98° 12°22' -06' 98° 12°14' -07' 98° 12°05' -08' 99° 7

8 12°52' -02' 98° 12°44' -03' 98° 12°35' -04' 99° 12°26' -05' 99° 12°16' -06' 99° 12°07' -07' 99° 11°57' -08' 100° 8

9 12°50' -02' 99° 12°40' -03' 99° 12°31' -04' 100° 12°20' -05' 100° 12°10' -06' 100° 11°59' -08' 100° 11°48' -09' 101° 9

10 12°48' -03' 100° 12°37' -04' 100° 12°26' -05' 101° 12°15' -06' 101° 12°03' -07' 101° 11°52' -08' 101° 11°40' -09' 102° 10

11 12°45' -03' 101° 12°34' -04' 102° 12°21' -05' 102° 12°09' -06' 102° 11°57' -07' 102° 11°44' -08' 102° 11°31' -09' 103° 11

12 12°43' -03' 102° 12°30' -04' 103° 12°17' -05' 103° 12°03' -06' 103° 11°50' -07' 103° 11°36' -08' 103° 11°22' -09' 104° 12

13 12°40' -03' 103° 12°26' -04' 104° 12°12' -05' 104° 11°57' -06' 104° 11°43' -07' 104° 11°28' -08' 104° 11°13' -09' 105° 13

14 12°36' -03' 104° 12°21' -04' 105° 12°06' -06' 105° 11°51' -07' 105° 11°35' -08' 105° 11°19' -09' 105° 11°03' -10' 106° 14

15 12°33' -04' 105° 12°17' -05' 106° 12°01' -06' 106° 11°44' -07' 106° 11°28' -08' 106° 11°11' -09' 106° 10°54' -10' 107° 15

16 12°29' -04' 106° 12°12' -05' 107° 11°55' -06' 107° 11°38' -07' 107° 11°20' -08' 107° 11°02' -09' 107° 10°44' -10' 108° 16

17 12°25' -04' 107° 12°07' -05' 108° 11°49' -06' 108° 11°31' -07' 108° 11°12' -08' 108° 10°53' -09' 108° 10°34' -10' 109° 17

18 12°21' -04' 108° 12°02' -05' 109° 11°43' -06' 109° 11°23' -07' 109° 11°04' -08' 109° 10°44' -09' 109° 10°24' -10' 110° 18

19 12°17' -05' 109° 11°57' -06' 110° 11°36' -07' 110° 11°16' -08' 110° 10°55' -09' 110° 10°34' -10' 110° 10°13' -11' 111° 19

20 12°12' -05' 110° 11°51' -06' 111° 11°30' -07' 111° 11°08' -08' 111° 10°47' -09' 111° 10°25' -10' 111° 10°03' -11' 112° 20

21 12°07' -05' 112° 11°45' -06' 112° 11°23' -07' 112° 11°01' -08' 112° 10°38' -09' 112° 10°15' -10' 112° 9°52' -11' 113° 21

22 12°02' -05' 113° 11°39' -06' 113° 11°16' -07' 113° 10°53' -08' 113° 10°29' -09' 113° 10°05' -10' 113° 9°41' -11' 114° 22

23 11°57' -06' 114° 11°33' -06' 114° 11°09' -07' 114° 10°44' -08' 114° 10°20' -09' 114° 9°55' -10' 114° 9°30' -11' 115° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

78° 282° LHA Latitude CONTRARY to Declination 78° 282° LHA

78° 282° LHA Latitude CONTRARY to DECLINATION 78° 282° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

77° 283° LHA Latitude CONTRARY to Declination 77° 283° LHA

77° 283° LHA Latitude CONTRARY to DECLINATION 77° 283° LHA

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Page 55: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 14°00' 00' 90° 14°00' -01' 90° 13°59' -02' 90° 13°59' -03' 91° 13°58' -04' 91° 13°57' -06' 91° 13°55' -07' 91° 0

1 14°00' 00' 91° 13°59' -01' 91° 13°57' -03' 92° 13°55' -04' 92° 13°53' -05' 92° 13°51' -06' 92° 13°49' -07' 93° 1

2 13°59' -01' 92° 13°57' -02' 92° 13°55' -03' 93° 13°52' -04' 93° 13°49' -05' 93° 13°45' -06' 93° 13°42' -07' 94° 2

3 13°59' -01' 93° 13°55' -02' 93° 13°52' -03' 94° 13°48' -04' 94° 13°44' -05' 94° 13°39' -06' 94° 13°35' -07' 95° 3

4 13°58' -01' 94° 13°53' -02' 94° 13°49' -03' 95° 13°44' -04' 95° 13°39' -05' 95° 13°33' -07' 95° 13°27' -08' 96° 4

5 13°57' -01' 95° 13°51' -03' 95° 13°45' -04' 96° 13°39' -05' 96° 13°33' -06' 96° 13°27' -07' 96° 13°20' -08' 97° 5

6 13°55' -02' 96° 13°49' -03' 96° 13°42' -04' 97° 13°35' -05' 97° 13°27' -06' 97° 13°20' -07' 97° 13°12' -08' 98° 6

7 13°54' -02' 97° 13°46' -03' 97° 13°38' -04' 98° 13°30' -05' 98° 13°21' -06' 98° 13°13' -07' 98° 13°04' -08' 99° 7

8 13°52' -02' 98° 13°43' -03' 98° 13°34' -04' 99° 13°25' -05' 99° 13°15' -06' 99° 13°06' -08' 99° 12°56' -09' 100° 8

9 13°49' -02' 99° 13°40' -04' 100° 13°30' -05' 100° 13°19' -06' 100° 13°09' -07' 100° 12°58' -08' 100° 12°47' -09' 101° 9

10 13°47' -03' 100° 13°36' -04' 101° 13°25' -05' 101° 13°14' -06' 101° 13°02' -07' 101° 12°50' -08' 101° 12°38' -09' 102° 10

11 13°44' -03' 101° 13°32' -04' 102° 13°20' -05' 102° 13°08' -06' 102° 12°55' -07' 102° 12°42' -08' 102° 12°29' -09' 103° 11

12 13°41' -03' 102° 13°28' -04' 103° 13°15' -05' 103° 13°02' -06' 103° 12°48' -07' 103° 12°34' -08' 103° 12°20' -09' 104° 12

13 13°38' -03' 103° 13°24' -05' 104° 13°10' -06' 104° 12°55' -07' 104° 12°41' -08' 104° 12°26' -09' 105° 12°11' -10' 105° 13

14 13°35' -04' 104° 13°20' -05' 105° 13°04' -06' 105° 12°49' -07' 105° 12°33' -08' 105° 12°17' -09' 106° 12°01' -10' 106° 14

15 13°31' -04' 105° 13°15' -05' 106° 12°58' -06' 106° 12°42' -07' 106° 12°25' -08' 106° 12°08' -09' 107° 11°51' -10' 107° 15

16 13°27' -04' 106° 13°10' -05' 107° 12°52' -06' 107° 12°35' -07' 107° 12°17' -08' 107° 11°59' -09' 108° 11°41' -10' 108° 16

17 13°23' -04' 107° 13°04' -06' 108° 12°46' -07' 108° 12°28' -08' 108° 12°09' -09' 108° 11°50' -10' 109° 11°31' -11' 109° 17

18 13°18' -05' 109° 12°59' -06' 109° 12°40' -07' 109° 12°20' -08' 109° 12°00' -09' 109° 11°40' -10' 110° 11°20' -11' 110° 18

19 13°13' -05' 110° 12°53' -06' 110° 12°33' -07' 110° 12°12' -08' 110° 11°51' -09' 110° 11°30' -10' 111° 11°09' -11' 111° 19

20 13°08' -05' 111° 12°47' -06' 111° 12°26' -07' 111° 12°04' -08' 111° 11°42' -09' 111° 11°20' -10' 112° 10°58' -11' 112° 20

21 13°03' -05' 112° 12°41' -06' 112° 12°19' -07' 112° 11°56' -08' 112° 11°33' -09' 112° 11°10' -10' 113° 10°47' -11' 113° 21

22 12°58' -06' 113° 12°35' -07' 113° 12°11' -08' 113° 11°48' -09' 113° 11°24' -10' 113° 11°00' -11' 114° 10°36' -12' 114° 22

23 12°52' -06' 114° 12°28' -07' 114° 12°04' -08' 114° 11°39' -09' 114° 11°14' -10' 114° 10°49' -11' 115° 10°24' -12' 115° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 15°00' 00' 90° 15°00' -01' 90° 14°59' -02' 91° 14°59' -03' 91° 14°58' -04' 91° 14°56' -06' 91° 14°55' -07' 92° 0

1 15°00' 00' 91° 14°59' -02' 91° 14°57' -03' 92° 14°55' -04' 92° 14°53' -05' 92° 14°51' -06' 92° 14°48' -07' 93° 1

2 14°59' -01' 92° 14°57' -02' 92° 14°55' -03' 93° 14°52' -04' 93° 14°49' -05' 93° 14°45' -06' 93° 14°41' -07' 94° 2

3 14°59' -01' 93° 14°55' -02' 93° 14°52' -03' 94° 14°48' -04' 94° 14°44' -05' 94° 14°39' -06' 94° 14°34' -07' 95° 3

4 14°58' -01' 94° 14°53' -02' 94° 14°49' -03' 95° 14°44' -04' 95° 14°38' -06' 95° 14°33' -07' 95° 14°27' -08' 96° 4

5 14°56' -02' 95° 14°51' -03' 95° 14°45' -04' 96° 14°39' -05' 96° 14°33' -06' 96° 14°26' -07' 96° 14°19' -08' 97° 5

6 14°55' -02' 96° 14°48' -03' 96° 14°41' -04' 97° 14°34' -05' 97° 14°27' -06' 97° 14°19' -07' 98° 14°11' -08' 98° 6

7 14°53' -02' 97° 14°45' -03' 98° 14°37' -04' 98° 14°29' -05' 98° 14°21' -06' 98° 14°12' -07' 99° 14°03' -08' 99° 7

8 14°51' -02' 98° 14°42' -03' 99° 14°33' -05' 99° 14°24' -06' 99° 14°14' -07' 99° 14°05' -08' 100° 13°54' -09' 100° 8

9 14°49' -03' 99° 14°39' -04' 100° 14°29' -05' 100° 14°18' -06' 100° 14°08' -07' 100° 13°57' -08' 101° 13°46' -09' 101° 9

10 14°46' -03' 100° 14°35' -04' 101° 14°24' -05' 101° 14°13' -06' 101° 14°01' -07' 101° 13°49' -08' 102° 13°37' -09' 102° 10

11 14°43' -03' 101° 14°31' -04' 102° 14°19' -05' 102° 14°06' -06' 102° 13°54' -07' 102° 13°41' -08' 103° 13°27' -09' 103° 11

12 14°40' -03' 102° 14°27' -05' 103° 14°14' -06' 103° 14°00' -07' 103° 13°46' -08' 103° 13°32' -09' 104° 13°18' -10' 104° 12

13 14°36' -04' 103° 14°22' -05' 104° 14°08' -06' 104° 13°53' -07' 104° 13°39' -08' 104° 13°24' -09' 105° 13°08' -10' 105° 13

14 14°33' -04' 104° 14°18' -05' 105° 14°02' -06' 105° 13°47' -07' 105° 13°31' -08' 105° 13°15' -09' 106° 12°58' -10' 106° 14

15 14°29' -04' 106° 14°12' -05' 106° 13°56' -06' 106° 13°39' -07' 106° 13°23' -08' 106° 13°05' -09' 107° 12°48' -10' 107° 15

16 14°24' -05' 107° 14°07' -06' 107° 13°50' -07' 107° 13°32' -08' 107° 13°14' -09' 107° 12°56' -10' 108° 12°38' -11' 108° 16

17 14°20' -05' 108° 14°02' -06' 108° 13°43' -07' 108° 13°24' -08' 108° 13°06' -09' 108° 12°46' -10' 109° 12°27' -11' 109° 17

18 14°15' -05' 109° 13°56' -06' 109° 13°36' -07' 109° 13°17' -08' 109° 12°57' -09' 110° 12°36' -10' 110° 12°16' -11' 110° 18

19 14°10' -05' 110° 13°50' -06' 110° 13°29' -07' 110° 13°08' -08' 110° 12°48' -09' 111° 12°26' -10' 111° 12°05' -11' 111° 19

20 14°05' -06' 111° 13°43' -07' 111° 13°22' -08' 111° 13°00' -09' 111° 12°38' -10' 112° 12°16' -11' 112° 11°54' -12' 112° 20

21 13°59' -06' 112° 13°37' -07' 112° 13°14' -08' 112° 12°52' -09' 112° 12°29' -10' 113° 12°05' -11' 113° 11°42' -12' 113° 21

22 13°53' -06' 113° 13°30' -07' 113° 13°06' -08' 113° 12°43' -09' 113° 12°19' -10' 114° 11°55' -11' 114° 11°30' -12' 114° 22

23 13°47' -06' 114° 13°23' -07' 114° 12°58' -08' 114° 12°34' -09' 114° 12°09' -10' 115° 11°44' -11' 115° 11°19' -12' 115° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

76° 284° LHA Latitude CONTRARY to DECLINATION 76° 284° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

75° 285° LHA Latitude CONTRARY to Declination 75° 285° LHA

75° 285° LHA Latitude CONTRARY to DECLINATION 75° 285° LHA

76° 284° LHA Latitude CONTRARY to Declination 76° 284° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 56: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 16°00' 00' 90° 16°00' -01' 90° 15°59' -02' 91° 15°59' -03' 91° 15°58' -05' 91° 15°56' -06' 91° 15°55' -07' 92° 0

1 16°00' 00' 91° 15°59' -02' 91° 15°57' -03' 92° 15°55' -04' 92° 15°53' -05' 92° 15°51' -06' 92° 15°48' -07' 93° 1

2 15°59' -01' 92° 15°57' -02' 92° 15°54' -03' 93° 15°52' -04' 93° 15°48' -05' 93° 15°45' -06' 94° 15°41' -07' 94° 2

3 15°59' -01' 93° 15°55' -02' 93° 15°52' -03' 94° 15°48' -04' 94° 15°43' -05' 94° 15°39' -06' 95° 15°34' -08' 95° 3

4 15°58' -01' 94° 15°53' -02' 94° 15°48' -04' 95° 15°43' -05' 95° 15°38' -06' 95° 15°32' -07' 96° 15°26' -08' 96° 4

5 15°56' -02' 95° 15°51' -03' 95° 15°45' -04' 96° 15°39' -05' 96° 15°32' -06' 96° 15°25' -07' 97° 15°18' -08' 97° 5

6 15°55' -02' 96° 15°48' -03' 97° 15°41' -04' 97° 15°34' -05' 97° 15°26' -06' 97° 15°18' -07' 98° 15°10' -08' 98° 6

7 15°53' -02' 97° 15°45' -03' 98° 15°37' -04' 98° 15°29' -05' 98° 15°20' -07' 98° 15°11' -08' 99° 15°02' -09' 99° 7

8 15°50' -03' 98° 15°42' -04' 99° 15°32' -05' 99° 15°23' -06' 99° 15°13' -07' 99° 15°03' -08' 100° 14°53' -09' 100° 8

9 15°48' -03' 99° 15°38' -04' 100° 15°28' -05' 100° 15°17' -06' 100° 15°07' -07' 100° 14°56' -08' 101° 14°44' -09' 101° 9

10 15°45' -03' 100° 15°34' -04' 101° 15°23' -05' 101° 15°11' -06' 101° 14°59' -07' 101° 14°47' -08' 102° 14°35' -09' 102° 10

11 15°42' -03' 101° 15°30' -04' 102° 15°18' -06' 102° 15°05' -07' 102° 14°52' -08' 103° 14°39' -09' 103° 14°26' -10' 103° 11

12 15°38' -04' 102° 15°25' -05' 103° 15°12' -06' 103° 14°58' -07' 103° 14°44' -08' 104° 14°30' -09' 104° 14°16' -10' 104° 12

13 15°35' -04' 104° 15°21' -05' 104° 15°06' -06' 104° 14°52' -07' 104° 14°37' -08' 105° 14°21' -09' 105° 14°06' -10' 105° 13

14 15°31' -04' 105° 15°16' -05' 105° 15°00' -06' 105° 14°44' -07' 105° 14°28' -08' 106° 14°12' -09' 106° 13°56' -10' 106° 14

15 15°26' -05' 106° 15°10' -06' 106° 14°54' -07' 106° 14°37' -08' 106° 14°20' -09' 107° 14°03' -10' 107° 13°45' -11' 107° 15

16 15°22' -05' 107° 15°05' -06' 107° 14°47' -07' 107° 14°29' -08' 107° 14°11' -09' 108° 13°53' -10' 108° 13°34' -11' 108° 16

17 15°17' -05' 108° 14°59' -06' 108° 14°40' -07' 108° 14°21' -08' 108° 14°02' -09' 109° 13°43' -10' 109° 13°23' -11' 109° 17

18 15°12' -05' 109° 14°53' -06' 109° 14°33' -07' 109° 14°13' -08' 109° 13°53' -09' 110° 13°33' -10' 110° 13°12' -11' 110° 18

19 15°06' -06' 110° 14°46' -07' 110° 14°25' -08' 110° 14°05' -09' 110° 13°44' -10' 111° 13°22' -11' 111° 13°01' -12' 111° 19

20 15°01' -06' 111° 14°39' -07' 111° 14°18' -08' 111° 13°56' -09' 111° 13°34' -10' 112° 13°12' -11' 112° 12°49' -12' 112° 20

21 14°55' -06' 112° 14°32' -07' 112° 14°10' -08' 112° 13°47' -09' 112° 13°24' -10' 113° 13°01' -11' 113° 12°37' -12' 113° 21

22 14°48' -07' 113° 14°25' -08' 113° 14°01' -09' 113° 13°38' -09' 113° 13°14' -10' 114° 12°49' -11' 114° 12°25' -12' 114° 22

23 14°42' -07' 114° 14°18' -08' 114° 13°53' -09' 114° 13°28' -10' 115° 13°03' -11' 115° 12°38' -12' 115° 12°13' -13' 115° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 17°00' 00' 90° 17°00' -01' 90° 16°59' -02' 91° 16°59' -03' 91° 16°57' -05' 91° 16°56' -06' 92° 16°54' -07' 92° 0

1 17°00' 00' 91° 16°59' -02' 91° 16°57' -03' 92° 16°55' -04' 92° 16°53' -05' 92° 16°50' -06' 93° 16°48' -07' 93° 1

2 16°59' -01' 92° 16°57' -02' 92° 16°54' -03' 93° 16°51' -04' 93° 16°48' -05' 93° 16°44' -06' 94° 16°41' -07' 94° 2

3 16°59' -01' 93° 16°55' -02' 93° 16°51' -03' 94° 16°47' -04' 94° 16°43' -05' 94° 16°38' -07' 95° 16°33' -08' 95° 3

4 16°57' -01' 94° 16°53' -03' 94° 16°48' -04' 95° 16°43' -05' 95° 16°37' -06' 95° 16°32' -07' 96° 16°26' -08' 96° 4

5 16°56' -02' 95° 16°50' -03' 96° 16°44' -04' 96° 16°38' -05' 96° 16°32' -06' 96° 16°25' -07' 97° 16°18' -08' 97° 5

6 16°54' -02' 96° 16°48' -03' 97° 16°41' -04' 97° 16°33' -05' 97° 16°26' -06' 97° 16°18' -07' 98° 16°09' -09' 98° 6

7 16°52' -02' 97° 16°44' -03' 98° 16°36' -05' 98° 16°28' -06' 98° 16°19' -07' 98° 16°10' -08' 99° 16°01' -09' 99° 7

8 16°50' -03' 98° 16°41' -04' 99° 16°32' -05' 99° 16°22' -06' 99° 16°12' -07' 100° 16°02' -08' 100° 15°52' -09' 100° 8

9 16°47' -03' 99° 16°37' -04' 100° 16°27' -05' 100° 16°16' -06' 100° 16°05' -07' 101° 15°54' -08' 101° 15°43' -09' 101° 9

10 16°44' -03' 100° 16°33' -04' 101° 16°22' -05' 101° 16°10' -07' 101° 15°58' -08' 102° 15°46' -09' 102° 15°33' -10' 102° 10

11 16°41' -04' 101° 16°29' -05' 102° 16°16' -06' 102° 16°04' -07' 102° 15°51' -08' 103° 15°37' -09' 103° 15°24' -10' 103° 11

12 16°37' -04' 103° 16°24' -05' 103° 16°10' -06' 103° 15°57' -07' 103° 15°43' -08' 104° 15°28' -09' 104° 15°14' -10' 104° 12

13 16°33' -04' 104° 16°19' -05' 104° 16°04' -06' 104° 15°50' -07' 104° 15°34' -08' 105° 15°19' -09' 105° 15°04' -11' 105° 13

14 16°29' -05' 105° 16°14' -06' 105° 15°58' -07' 105° 15°42' -08' 105° 15°26' -09' 106° 15°10' -10' 106° 14°53' -11' 106° 14

15 16°24' -05' 106° 16°08' -06' 106° 15°51' -07' 106° 15°34' -08' 106° 15°17' -09' 107° 15°00' -10' 107° 14°42' -11' 107° 15

16 16°19' -05' 107° 16°02' -06' 107° 15°44' -07' 107° 15°26' -08' 108° 15°08' -09' 108° 14°50' -10' 108° 14°31' -11' 108° 16

17 16°14' -05' 108° 15°56' -07' 108° 15°37' -08' 108° 15°18' -09' 109° 14°59' -10' 109° 14°39' -11' 109° 14°20' -12' 109° 17

18 16°09' -06' 109° 15°49' -07' 109° 15°30' -08' 109° 15°10' -09' 110° 14°49' -10' 110° 14°29' -11' 110° 14°08' -12' 110° 18

19 16°03' -06' 110° 15°42' -07' 110° 15°22' -08' 110° 15°01' -09' 111° 14°40' -10' 111° 14°18' -11' 111° 13°56' -12' 111° 19

20 15°57' -06' 111° 15°35' -07' 111° 15°14' -08' 111° 14°52' -09' 112° 14°29' -10' 112° 14°07' -11' 112° 13°44' -12' 112° 20

21 15°50' -07' 112° 15°28' -08' 112° 15°05' -09' 112° 14°42' -10' 113° 14°19' -11' 113° 13°56' -12' 113° 13°32' -13' 113° 21

22 15°44' -07' 113° 15°20' -08' 113° 14°57' -09' 113° 14°33' -10' 114° 14°08' -11' 114° 13°44' -12' 114° 13°19' -13' 114° 22

23 15°37' -07' 114° 15°12' -08' 114° 14°48' -09' 114° 14°23' -10' 115° 13°58' -11' 115° 13°32' -12' 115° 13°07' -13' 115° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

73° 287° LHA Latitude CONTRARY to DECLINATION 73° 287° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

74° 286° LHA Latitude CONTRARY to Declination 74° 286° LHA

74° 286° LHA Latitude CONTRARY to DECLINATION 74° 286° LHA

73° 287° LHA Latitude CONTRARY to Declination 73° 287° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 57: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 18°00' 00' 90° 18°00' -01' 90° 17°59' -02' 91° 17°58' -03' 91° 17°57' -05' 91° 17°56' -06' 92° 17°54' -07' 92° 0

1 18°00' -01' 91° 17°59' -02' 91° 17°57' -03' 92° 17°55' -04' 92° 17°53' -05' 92° 17°50' -06' 93° 17°47' -07' 93° 1

2 17°59' -01' 92° 17°57' -02' 92° 17°54' -03' 93° 17°51' -04' 93° 17°48' -05' 93° 17°44' -06' 94° 17°40' -07' 94° 2

3 17°58' -01' 93° 17°55' -02' 93° 17°51' -03' 94° 17°47' -04' 94° 17°43' -06' 94° 17°38' -07' 95° 17°33' -08' 95° 3

4 17°57' -02' 94° 17°53' -03' 95° 17°48' -04' 95° 17°43' -05' 95° 17°37' -06' 95° 17°31' -07' 96° 17°25' -08' 96° 4

5 17°56' -02' 95° 17°50' -03' 96° 17°44' -04' 96° 17°38' -05' 96° 17°31' -06' 97° 17°24' -07' 97° 17°17' -08' 97° 5

6 17°54' -02' 96° 17°47' -03' 97° 17°40' -04' 97° 17°33' -05' 97° 17°25' -07' 98° 17°17' -08' 98° 17°08' -09' 98° 6

7 17°52' -03' 97° 17°44' -04' 98° 17°36' -05' 98° 17°27' -06' 98° 17°18' -07' 99° 17°09' -08' 99° 17°00' -09' 99° 7

8 17°49' -03' 98° 17°40' -04' 99° 17°31' -05' 99° 17°21' -06' 99° 17°11' -07' 100° 17°01' -08' 100° 16°51' -09' 100° 8

9 17°46' -03' 99° 17°36' -04' 100° 17°26' -05' 100° 17°15' -06' 100° 17°04' -08' 101° 16°53' -09' 101° 16°41' -10' 101° 9

10 17°43' -04' 101° 17°32' -05' 101° 17°21' -06' 101° 17°09' -07' 101° 16°57' -08' 102° 16°44' -09' 102° 16°32' -10' 102° 10

11 17°39' -04' 102° 17°27' -05' 102° 17°15' -06' 102° 17°02' -07' 102° 16°49' -08' 103° 16°36' -09' 103° 16°22' -10' 103° 11

12 17°36' -04' 103° 17°22' -05' 103° 17°09' -06' 103° 16°55' -07' 104° 16°41' -08' 104° 16°26' -09' 104° 16°12' -11' 104° 12

13 17°31' -05' 104° 17°17' -06' 104° 17°02' -07' 104° 16°48' -08' 105° 16°32' -09' 105° 16°17' -10' 105° 16°01' -11' 105° 13

14 17°27' -05' 105° 17°12' -06' 105° 16°56' -07' 105° 16°40' -08' 106° 16°24' -09' 106° 16°07' -10' 106° 15°50' -11' 106° 14

15 17°22' -05' 106° 17°06' -06' 106° 16°49' -07' 106° 16°32' -08' 107° 16°15' -09' 107° 15°57' -10' 107° 15°39' -11' 107° 15

16 17°17' -06' 107° 16°59' -07' 107° 16°42' -08' 107° 16°24' -09' 108° 16°05' -10' 108° 15°47' -11' 108° 15°28' -12' 108° 16

17 17°11' -06' 108° 16°53' -07' 108° 16°34' -08' 108° 16°15' -09' 109° 15°56' -10' 109° 15°36' -11' 109° 15°16' -12' 109° 17

18 17°05' -06' 109° 16°46' -07' 109° 16°26' -08' 109° 16°06' -09' 110° 15°46' -10' 110° 15°25' -11' 110° 15°04' -12' 110° 18

19 16°59' -06' 110° 16°39' -07' 110° 16°18' -08' 110° 15°57' -10' 111° 15°35' -11' 111° 15°14' -11' 111° 14°52' -12' 112° 19

20 16°53' -07' 111° 16°31' -08' 111° 16°09' -09' 111° 15°47' -10' 112° 15°25' -11' 112° 15°02' -12' 112° 14°39' -13' 113° 20

21 16°46' -07' 112° 16°23' -08' 112° 16°01' -09' 113° 15°38' -10' 113° 15°14' -11' 113° 14°51' -12' 113° 14°27' -13' 114° 21

22 16°39' -07' 113° 16°15' -08' 113° 15°52' -09' 114° 15°27' -10' 114° 15°03' -11' 114° 14°39' -12' 114° 14°14' -13' 115° 22

23 16°32' -08' 114° 16°07' -09' 114° 15°42' -10' 115° 15°17' -11' 115° 14°52' -12' 115° 14°26' -13' 115° 14°00' -13' 116° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 19°00' 00' 90° 19°00' -01' 90° 18°59' -02' 91° 18°58' -03' 91° 18°57' -05' 91° 18°55' -06' 92° 18°54' -07' 92° 0

1 19°00' -01' 91° 18°59' -02' 91° 18°57' -03' 92° 18°55' -04' 92° 18°53' -05' 92° 18°50' -06' 93° 18°47' -07' 93° 1

2 18°59' -01' 92° 18°57' -02' 92° 18°54' -03' 93° 18°51' -04' 93° 18°48' -05' 93° 18°44' -06' 94° 18°40' -08' 94° 2

3 18°58' -01' 93° 18°55' -02' 94° 18°51' -03' 94° 18°47' -05' 94° 18°42' -06' 95° 18°37' -07' 95° 18°32' -08' 95° 3

4 18°57' -02' 94° 18°53' -03' 95° 18°48' -04' 95° 18°42' -05' 95° 18°37' -06' 96° 18°31' -07' 96° 18°24' -08' 96° 4

5 18°55' -02' 95° 18°50' -03' 96° 18°44' -04' 96° 18°37' -05' 96° 18°31' -06' 97° 18°23' -07' 97° 18°16' -09' 97° 5

6 18°54' -02' 96° 18°47' -03' 97° 18°40' -05' 97° 18°32' -06' 97° 18°24' -07' 98° 18°16' -08' 98° 18°07' -09' 98° 6

7 18°51' -03' 97° 18°43' -04' 98° 18°35' -05' 98° 18°26' -06' 98° 18°17' -07' 99° 18°08' -08' 99° 17°59' -09' 99° 7

8 18°48' -03' 98° 18°39' -04' 99° 18°30' -05' 99° 18°20' -06' 99° 18°10' -07' 100° 18°00' -08' 100° 17°49' -10' 100° 8

9 18°45' -03' 100° 18°35' -04' 100° 18°25' -06' 100° 18°14' -07' 100° 18°03' -08' 101° 17°52' -09' 101° 17°40' -10' 101° 9

10 18°42' -04' 101° 18°31' -05' 101° 18°19' -06' 101° 18°08' -07' 102° 17°55' -08' 102° 17°43' -09' 102° 17°30' -10' 102° 10

11 18°38' -04' 102° 18°26' -05' 102° 18°13' -06' 102° 18°01' -07' 103° 17°47' -08' 103° 17°34' -09' 103° 17°20' -10' 104° 11

12 18°34' -04' 103° 18°21' -06' 103° 18°07' -07' 103° 17°53' -08' 104° 17°39' -09' 104° 17°24' -10' 104° 17°09' -11' 105° 12

13 18°30' -05' 104° 18°15' -06' 104° 18°01' -07' 104° 17°46' -08' 105° 17°30' -09' 105° 17°15' -10' 105° 16°59' -11' 106° 13

14 18°25' -05' 105° 18°09' -06' 105° 17°54' -07' 105° 17°38' -08' 106° 17°21' -09' 106° 17°04' -10' 106° 16°47' -11' 107° 14

15 18°20' -05' 106° 18°03' -07' 106° 17°46' -08' 106° 17°29' -09' 107° 17°12' -10' 107° 16°54' -11' 107° 16°36' -12' 108° 15

16 18°14' -06' 107° 17°57' -07' 107° 17°39' -08' 107° 17°21' -09' 108° 17°02' -10' 108° 16°43' -11' 108° 16°24' -12' 109° 16

17 18°08' -06' 108° 17°50' -07' 108° 17°31' -08' 109° 17°12' -09' 109° 16°52' -10' 109° 16°32' -11' 109° 16°12' -12' 110° 17

18 18°02' -07' 109° 17°43' -08' 109° 17°23' -09' 110° 17°02' -10' 110° 16°42' -11' 110° 16°21' -12' 110° 16°00' -13' 111° 18

19 17°56' -07' 110° 17°35' -08' 110° 17°14' -09' 111° 16°53' -10' 111° 16°31' -11' 111° 16°09' -12' 111° 15°47' -13' 112° 19

20 17°49' -07' 111° 17°27' -08' 111° 17°05' -09' 112° 16°43' -10' 112° 16°20' -11' 112° 15°58' -12' 112° 15°35' -13' 113° 20

21 17°42' -08' 112° 17°19' -09' 112° 16°56' -10' 113° 16°33' -11' 113° 16°09' -11' 113° 15°45' -12' 113° 15°21' -13' 114° 21

22 17°34' -08' 113° 17°10' -09' 113° 16°46' -10' 114° 16°22' -11' 114° 15°58' -12' 114° 15°33' -13' 114° 15°08' -14' 115° 22

23 17°26' -08' 114° 17°02' -09' 114° 16°37' -10' 115° 16°11' -11' 115° 15°46' -12' 115° 15°20' -13' 116° 14°54' -14' 116° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

72° 288° LHA Latitude CONTRARY to Declination 72° 288° LHA

72° 288° LHA Latitude CONTRARY to DECLINATION 72° 288° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

71° 289° LHA Latitude CONTRARY to Declination 71° 289° LHA

71° 289° LHA Latitude CONTRARY to DECLINATION 71° 289° LHA

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Page 58: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 20°00' 00' 90° 20°00' -01' 90° 19°59' -02' 91° 19°58' -04' 91° 19°57' -05' 91° 19°55' -06' 92° 19°53' -07' 92° 0

1 20°00' -01' 91° 19°59' -02' 91° 19°57' -03' 92° 19°55' -04' 92° 19°52' -05' 93° 19°49' -06' 93° 19°46' -07' 93° 1

2 19°59' -01' 92° 19°57' -02' 92° 19°54' -03' 93° 19°51' -04' 93° 19°47' -05' 94° 19°43' -06' 94° 19°39' -08' 94° 2

3 19°58' -01' 93° 19°55' -02' 94° 19°51' -04' 94° 19°47' -05' 94° 19°42' -06' 95° 19°37' -07' 95° 19°31' -08' 95° 3

4 19°57' -02' 94° 19°52' -03' 95° 19°47' -04' 95° 19°42' -05' 95° 19°36' -06' 96° 19°30' -07' 96° 19°24' -08' 96° 4

5 19°55' -02' 95° 19°49' -03' 96° 19°43' -04' 96° 19°37' -05' 96° 19°30' -06' 97° 19°23' -08' 97° 19°15' -09' 97° 5

6 19°53' -02' 96° 19°46' -04' 97° 19°39' -05' 97° 19°31' -06' 97° 19°24' -07' 98° 19°15' -08' 98° 19°07' -09' 98° 6

7 19°51' -03' 97° 19°43' -04' 98° 19°34' -05' 98° 19°26' -06' 99° 19°17' -07' 99° 19°07' -08' 99° 18°57' -09' 100° 7

8 19°48' -03' 99° 19°39' -04' 99° 19°29' -05' 99° 19°20' -06' 100° 19°09' -08' 100° 18°59' -09' 100° 18°48' -10' 101° 8

9 19°45' -04' 100° 19°34' -05' 100° 19°24' -06' 100° 19°13' -07' 101° 19°02' -08' 101° 18°50' -09' 101° 18°38' -10' 102° 9

10 19°41' -04' 101° 19°30' -05' 101° 19°18' -06' 101° 19°06' -07' 102° 18°54' -08' 102° 18°41' -09' 102° 18°28' -10' 103° 10

11 19°37' -04' 102° 19°25' -05' 102° 19°12' -07' 102° 18°59' -08' 103° 18°46' -09' 103° 18°32' -10' 103° 18°18' -11' 104° 11

12 19°33' -05' 103° 19°19' -06' 103° 19°06' -07' 103° 18°51' -08' 104° 18°37' -09' 104° 18°22' -10' 104° 18°07' -11' 105° 12

13 19°28' -05' 104° 19°13' -06' 104° 18°59' -07' 104° 18°43' -08' 105° 18°28' -09' 105° 18°12' -10' 105° 17°56' -11' 106° 13

14 19°23' -05' 105° 19°07' -07' 105° 18°51' -08' 106° 18°35' -09' 106° 18°19' -10' 106° 18°02' -11' 106° 17°45' -12' 107° 14

15 19°17' -06' 106° 19°01' -07' 106° 18°44' -08' 107° 18°27' -09' 107° 18°09' -10' 107° 17°51' -11' 108° 17°33' -12' 108° 15

16 19°12' -06' 107° 18°54' -07' 107° 18°36' -08' 108° 18°18' -09' 108° 17°59' -10' 108° 17°40' -11' 109° 17°21' -12' 109° 16

17 19°05' -07' 108° 18°47' -08' 108° 18°28' -09' 109° 18°08' -10' 109° 17°49' -11' 109° 17°29' -12' 110° 17°08' -13' 110° 17

18 18°59' -07' 109° 18°39' -08' 109° 18°19' -09' 110° 17°59' -10' 110° 17°38' -11' 110° 17°17' -12' 111° 16°56' -13' 111° 18

19 18°52' -07' 110° 18°31' -08' 110° 18°10' -09' 111° 17°49' -10' 111° 17°27' -11' 111° 17°05' -12' 112° 16°43' -13' 112° 19

20 18°45' -08' 111° 18°23' -09' 111° 18°01' -10' 112° 17°38' -11' 112° 17°16' -12' 112° 16°53' -13' 113° 16°30' -14' 113° 20

21 18°37' -08' 112° 18°14' -09' 113° 17°51' -10' 113° 17°28' -11' 113° 17°04' -12' 113° 16°40' -13' 114° 16°16' -14' 114° 21

22 18°29' -08' 113° 18°05' -09' 114° 17°41' -10' 114° 17°17' -11' 114° 16°52' -12' 114° 16°27' -13' 115° 16°02' -14' 115° 22

23 18°21' -09' 114° 17°56' -10' 115° 17°31' -11' 115° 17°06' -12' 115° 16°40' -13' 115° 16°14' -13' 116° 15°48' -14' 116° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 21°00' 00' 90° 21°00' -01' 90° 20°59' -02' 91° 20°58' -04' 91° 20°57' -05' 92° 20°55' -06' 92° 20°53' -07' 92° 0

1 21°00' -01' 91° 20°58' -02' 91° 20°57' -03' 92° 20°55' -04' 92° 20°52' -05' 93° 20°49' -06' 93° 20°46' -07' 93° 1

2 20°59' -01' 92° 20°57' -02' 93° 20°54' -03' 93° 20°51' -04' 93° 20°47' -05' 94° 20°43' -07' 94° 20°39' -08' 94° 2

3 20°58' -01' 93° 20°55' -03' 94° 20°51' -04' 94° 20°46' -05' 94° 20°42' -06' 95° 20°36' -07' 95° 20°31' -08' 95° 3

4 20°57' -02' 94° 20°52' -03' 95° 20°47' -04' 95° 20°42' -05' 95° 20°36' -06' 96° 20°29' -07' 96° 20°23' -08' 97° 4

5 20°55' -02' 95° 20°49' -03' 96° 20°43' -04' 96° 20°36' -06' 96° 20°29' -07' 97° 20°22' -08' 97° 20°14' -09' 98° 5

6 20°53' -03' 96° 20°46' -04' 97° 20°39' -05' 97° 20°31' -06' 98° 20°23' -07' 98° 20°14' -08' 98° 20°06' -09' 99° 6

7 20°50' -03' 97° 20°42' -04' 98° 20°34' -05' 98° 20°25' -06' 99° 20°16' -07' 99° 20°06' -08' 99° 19°56' -10' 100° 7

8 20°47' -03' 99° 20°38' -05' 99° 20°29' -06' 99° 20°19' -07' 100° 20°08' -08' 100° 19°58' -09' 100° 19°47' -10' 101° 8

9 20°44' -04' 100° 20°34' -05' 100° 20°23' -06' 100° 20°12' -07' 101° 20°01' -08' 101° 19°49' -09' 101° 19°37' -10' 102° 9

10 20°40' -04' 101° 20°29' -05' 101° 20°17' -06' 101° 20°05' -07' 102° 19°52' -09' 102° 19°40' -10' 102° 19°26' -11' 103° 10

11 20°36' -05' 102° 20°23' -06' 102° 20°11' -07' 102° 19°57' -08' 103° 19°44' -09' 103° 19°30' -10' 104° 19°16' -11' 104° 11

12 20°31' -05' 103° 20°18' -06' 103° 20°04' -07' 104° 19°50' -08' 104° 19°35' -09' 104° 19°20' -10' 105° 19°05' -11' 105° 12

13 20°26' -05' 104° 20°12' -06' 104° 19°57' -07' 105° 19°41' -09' 105° 19°26' -10' 105° 19°10' -11' 106° 18°53' -12' 106° 13

14 20°21' -06' 105° 20°05' -07' 105° 19°49' -08' 106° 19°33' -09' 106° 19°16' -10' 106° 18°59' -11' 107° 18°42' -12' 107° 14

15 20°15' -06' 106° 19°58' -07' 106° 19°41' -08' 107° 19°24' -09' 107° 19°06' -10' 107° 18°48' -11' 108° 18°30' -12' 108° 15

16 20°09' -07' 107° 19°51' -08' 107° 19°33' -09' 108° 19°15' -10' 108° 18°56' -11' 108° 18°37' -12' 109° 18°17' -13' 109° 16

17 20°03' -07' 108° 19°44' -08' 108° 19°24' -09' 109° 19°05' -10' 109° 18°45' -11' 109° 18°25' -12' 110° 18°05' -13' 110° 17

18 19°56' -07' 109° 19°36' -08' 110° 19°16' -09' 110° 18°55' -10' 110° 18°34' -11' 111° 18°13' -12' 111° 17°51' -13' 111° 18

19 19°48' -08' 110° 19°27' -09' 111° 19°06' -10' 111° 18°45' -11' 111° 18°23' -12' 112° 18°01' -13' 112° 17°38' -14' 112° 19

20 19°41' -08' 111° 19°19' -09' 112° 18°57' -10' 112° 18°34' -11' 112° 18°11' -12' 113° 17°48' -13' 113° 17°24' -14' 113° 20

21 19°33' -08' 112° 19°10' -09' 113° 18°47' -10' 113° 18°23' -11' 113° 17°59' -12' 114° 17°35' -13' 114° 17°10' -14' 114° 21

22 19°24' -09' 113° 19°00' -10' 114° 18°36' -11' 114° 18°12' -12' 114° 17°47' -13' 115° 17°22' -14' 115° 16°56' -15' 115° 22

23 19°16' -09' 114° 18°51' -10' 115° 18°25' -11' 115° 18°00' -12' 115° 17°34' -13' 116° 17°08' -14' 116° 16°42' -15' 116° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

70° 290° LHA Latitude CONTRARY to DECLINATION 70° 290° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

69° 291° LHA Latitude CONTRARY to Declination 69° 291° LHA

69° 291° LHA Latitude CONTRARY to DECLINATION 69° 291° LHA

70° 290° LHA Latitude CONTRARY to Declination 70° 290° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 59: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 22°00' 00' 90° 22°00' -01' 90° 21°59' -02' 91° 21°58' -04' 91° 21°57' -05' 92° 21°55' -06' 92° 21°52' -07' 92° 0

1 22°00' -01' 91° 21°58' -02' 91° 21°57' -03' 92° 21°55' -04' 92° 21°52' -05' 93° 21°49' -06' 93° 21°45' -07' 93° 1

2 21°59' -01' 92° 21°57' -02' 93° 21°54' -03' 93° 21°50' -04' 93° 21°47' -06' 94° 21°43' -07' 94° 21°38' -08' 95° 2

3 21°58' -01' 93° 21°55' -03' 94° 21°50' -04' 94° 21°46' -05' 94° 21°41' -06' 95° 21°36' -07' 95° 21°30' -08' 96° 3

4 21°57' -02' 94° 21°52' -03' 95° 21°47' -04' 95° 21°41' -05' 96° 21°35' -06' 96° 21°29' -07' 96° 21°22' -09' 97° 4

5 21°55' -02' 95° 21°49' -03' 96° 21°43' -05' 96° 21°36' -06' 97° 21°29' -07' 97° 21°21' -08' 97° 21°13' -09' 98° 5

6 21°52' -03' 96° 21°45' -04' 97° 21°38' -05' 97° 21°30' -06' 98° 21°22' -07' 98° 21°13' -08' 98° 21°04' -09' 99° 6

7 21°50' -03' 98° 21°42' -04' 98° 21°33' -05' 98° 21°24' -06' 99° 21°15' -08' 99° 21°05' -09' 99° 20°55' -10' 100° 7

8 21°46' -04' 99° 21°37' -05' 99° 21°28' -06' 99° 21°18' -07' 100° 21°07' -08' 100° 20°57' -09' 101° 20°45' -10' 101° 8

9 21°43' -04' 100° 21°33' -05' 100° 21°22' -06' 100° 21°11' -07' 101° 20°59' -08' 101° 20°47' -09' 102° 20°35' -11' 102° 9

10 21°39' -04' 101° 21°28' -06' 101° 21°16' -07' 102° 21°04' -08' 102° 20°51' -09' 102° 20°38' -10' 103° 20°25' -11' 103° 10

11 21°35' -05' 102° 21°22' -06' 102° 21°09' -07' 103° 20°56' -08' 103° 20°42' -09' 103° 20°28' -10' 104° 20°14' -11' 104° 11

12 21°30' -05' 103° 21°16' -06' 103° 21°02' -07' 104° 20°48' -08' 104° 20°33' -10' 104° 20°18' -11' 105° 20°02' -12' 105° 12

13 21°24' -06' 104° 21°10' -07' 104° 20°55' -08' 105° 20°39' -09' 105° 20°23' -10' 105° 20°07' -11' 106° 19°51' -12' 106° 13

14 21°19' -06' 105° 21°03' -07' 105° 20°47' -08' 106° 20°30' -09' 106° 20°14' -10' 107° 19°56' -11' 107° 19°39' -12' 107° 14

15 21°13' -06' 106° 20°56' -08' 106° 20°39' -09' 107° 20°21' -10' 107° 20°03' -11' 108° 19°45' -12' 108° 19°26' -13' 108° 15

16 21°06' -07' 107° 20°48' -08' 108° 20°30' -09' 108° 20°12' -10' 108° 19°53' -11' 109° 19°33' -12' 109° 19°14' -13' 109° 16

17 21°00' -07' 108° 20°41' -08' 109° 20°21' -09' 109° 20°02' -10' 109° 19°42' -11' 110° 19°21' -12' 110° 19°01' -13' 110° 17

18 20°52' -08' 109° 20°32' -09' 110° 20°12' -10' 110° 19°51' -11' 110° 19°30' -12' 111° 19°09' -13' 111° 18°47' -14' 111° 18

19 20°45' -08' 110° 20°24' -09' 111° 20°02' -10' 111° 19°40' -11' 111° 19°18' -12' 112° 18°56' -13' 112° 18°33' -14' 112° 19

20 20°37' -08' 111° 20°15' -09' 112° 19°52' -10' 112° 19°29' -11' 112° 19°06' -12' 113° 18°43' -13' 113° 18°19' -14' 113° 20

21 20°28' -09' 112° 20°05' -10' 113° 19°42' -11' 113° 19°18' -12' 113° 18°54' -13' 114° 18°29' -14' 114° 18°05' -15' 114° 21

22 20°19' -09' 114° 19°55' -10' 114° 19°31' -11' 114° 19°06' -12' 115° 18°41' -13' 115° 18°16' -14' 115° 17°50' -15' 115° 22

23 20°10' -10' 115° 19°45' -11' 115° 19°20' -12' 115° 18°54' -12' 116° 18°28' -13' 116° 18°02' -14' 116° 17°35' -15' 116° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 23°00' 00' 90° 23°00' -01' 90° 22°59' -02' 91° 22°58' -04' 91° 22°56' -05' 92° 22°54' -06' 92° 22°52' -07' 93° 0

1 23°00' -01' 91° 22°58' -02' 92° 22°57' -03' 92° 22°54' -04' 92° 22°52' -05' 93° 22°49' -06' 93° 22°45' -07' 94° 1

2 22°59' -01' 92° 22°57' -02' 93° 22°54' -03' 93° 22°50' -05' 93° 22°46' -06' 94° 22°42' -07' 94° 22°38' -08' 95° 2

3 22°58' -02' 93° 22°54' -03' 94° 22°50' -04' 94° 22°46' -05' 95° 22°41' -06' 95° 22°35' -07' 95° 22°30' -08' 96° 3

4 22°56' -02' 94° 22°52' -03' 95° 22°46' -04' 95° 22°41' -05' 96° 22°35' -07' 96° 22°28' -08' 96° 22°21' -09' 97° 4

5 22°54' -02' 95° 22°49' -04' 96° 22°42' -05' 96° 22°35' -06' 97° 22°28' -07' 97° 22°21' -08' 98° 22°13' -09' 98° 5

6 22°52' -03' 97° 22°45' -04' 97° 22°38' -05' 97° 22°30' -06' 98° 22°21' -07' 98° 22°13' -08' 99° 22°03' -10' 99° 6

7 22°49' -03' 98° 22°41' -04' 98° 22°32' -06' 98° 22°23' -07' 99° 22°14' -08' 99° 22°04' -09' 100° 21°54' -10' 100° 7

8 22°46' -04' 99° 22°37' -05' 99° 22°27' -06' 100° 22°17' -07' 100° 22°06' -08' 100° 21°55' -09' 101° 21°44' -10' 101° 8

9 22°42' -04' 100° 22°32' -05' 100° 22°21' -06' 101° 22°10' -08' 101° 21°58' -09' 101° 21°46' -10' 102° 21°34' -11' 102° 9

10 22°38' -05' 101° 22°26' -06' 101° 22°14' -07' 102° 22°02' -08' 102° 21°49' -09' 102° 21°36' -10' 103° 21°23' -11' 103° 10

11 22°33' -05' 102° 22°21' -06' 102° 22°08' -07' 103° 21°54' -08' 103° 21°40' -09' 104° 21°26' -11' 104° 21°12' -12' 104° 11

12 22°28' -05' 103° 22°14' -07' 103° 22°00' -08' 104° 21°46' -09' 104° 21°31' -10' 105° 21°16' -11' 105° 21°00' -12' 105° 12

13 22°23' -06' 104° 22°08' -07' 104° 21°53' -08' 105° 21°37' -09' 105° 21°21' -10' 106° 21°05' -11' 106° 20°48' -12' 106° 13

14 22°17' -06' 105° 22°01' -07' 106° 21°45' -08' 106° 21°28' -10' 106° 21°11' -11' 107° 20°53' -12' 107° 20°36' -13' 107° 14

15 22°10' -07' 106° 21°53' -08' 107° 21°36' -09' 107° 21°18' -10' 107° 21°00' -11' 108° 20°42' -12' 108° 20°23' -13' 108° 15

16 22°04' -07' 107° 21°46' -08' 108° 21°27' -09' 108° 21°08' -10' 108° 20°49' -11' 109° 20°30' -12' 109° 20°10' -13' 110° 16

17 21°56' -08' 108° 21°37' -09' 109° 21°18' -10' 109° 20°58' -11' 109° 20°38' -12' 110° 20°17' -13' 110° 19°56' -14' 111° 17

18 21°49' -08' 109° 21°29' -09' 110° 21°08' -10' 110° 20°47' -11' 111° 20°26' -12' 111° 20°05' -13' 111° 19°43' -14' 112° 18

19 21°41' -08' 111° 21°20' -09' 111° 20°58' -10' 111° 20°36' -12' 112° 20°14' -13' 112° 19°51' -14' 112° 19°28' -15' 113° 19

20 21°32' -09' 112° 21°10' -10' 112° 20°48' -11' 112° 20°25' -12' 113° 20°01' -13' 113° 19°38' -14' 113° 19°14' -15' 114° 20

21 21°24' -09' 113° 21°00' -10' 113° 20°37' -11' 113° 20°13' -12' 114° 19°49' -13' 114° 19°24' -14' 114° 18°59' -15' 115° 21

22 21°14' -10' 114° 20°50' -11' 114° 20°26' -12' 114° 20°01' -13' 115° 19°35' -14' 115° 19°10' -15' 115° 18°44' -16' 116° 22

23 21°05' -10' 115° 20°40' -11' 115° 20°14' -12' 115° 19°48' -13' 116° 19°22' -14' 116° 18°55' -15' 116° 18°28' -16' 117° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

67° 293° LHA Latitude CONTRARY to DECLINATION 67° 293° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

68° 292° LHA Latitude CONTRARY to Declination 68° 292° LHA

68° 292° LHA Latitude CONTRARY to DECLINATION 68° 292° LHA

67° 293° LHA Latitude CONTRARY to Declination 67° 293° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 60: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 24°00' 00' 90° 24°00' -01' 90° 23°59' -03' 91° 23°58' -04' 91° 23°56' -05' 92° 23°54' -06' 92° 23°52' -07' 93° 0

1 24°00' -01' 91° 23°58' -02' 92° 23°57' -03' 92° 23°54' -04' 92° 23°51' -05' 93° 23°48' -06' 93° 23°45' -08' 94° 1

2 23°59' -01' 92° 23°57' -02' 93° 23°54' -03' 93° 23°50' -05' 94° 23°46' -06' 94° 23°42' -07' 94° 23°37' -08' 95° 2

3 23°58' -02' 93° 23°54' -03' 94° 23°50' -04' 94° 23°46' -05' 95° 23°40' -06' 95° 23°35' -07' 95° 23°29' -08' 96° 3

4 23°56' -02' 94° 23°51' -03' 95° 23°46' -04' 95° 23°40' -06' 96° 23°34' -07' 96° 23°28' -08' 97° 23°21' -09' 97° 4

5 23°54' -03' 95° 23°48' -04' 96° 23°42' -05' 96° 23°35' -06' 97° 23°28' -07' 97° 23°20' -08' 98° 23°12' -09' 98° 5

6 23°52' -03' 97° 23°45' -04' 97° 23°37' -05' 97° 23°29' -06' 98° 23°21' -08' 98° 23°12' -09' 99° 23°02' -10' 99° 6

7 23°49' -03' 98° 23°40' -05' 98° 23°32' -06' 99° 23°23' -07' 99° 23°13' -08' 99° 23°03' -09' 100° 22°53' -10' 100° 7

8 23°45' -04' 99° 23°36' -05' 99° 23°26' -06' 100° 23°16' -07' 100° 23°05' -08' 100° 22°54' -10' 101° 22°42' -11' 101° 8

9 23°41' -04' 100° 23°31' -06' 100° 23°20' -07' 101° 23°08' -08' 101° 22°57' -09' 102° 22°44' -10' 102° 22°32' -11' 102° 9

10 23°37' -05' 101° 23°25' -06' 101° 23°13' -07' 102° 23°01' -08' 102° 22°48' -09' 103° 22°35' -10' 103° 22°21' -11' 103° 10

11 23°32' -05' 102° 23°19' -06' 102° 23°06' -08' 103° 22°53' -09' 103° 22°39' -10' 104° 22°24' -11' 104° 22°09' -12' 104° 11

12 23°27' -06' 103° 23°13' -07' 104° 22°59' -08' 104° 22°44' -09' 104° 22°29' -10' 105° 22°13' -11' 105° 21°58' -12' 106° 12

13 23°21' -06' 104° 23°06' -07' 105° 22°51' -08' 105° 22°35' -09' 105° 22°19' -11' 106° 22°02' -12' 106° 21°45' -13' 107° 13

14 23°15' -07' 105° 22°59' -08' 106° 22°42' -09' 106° 22°25' -10' 106° 22°08' -11' 107° 21°51' -12' 107° 21°33' -13' 108° 14

15 23°08' -07' 106° 22°51' -08' 107° 22°33' -09' 107° 22°16' -10' 108° 21°57' -11' 108° 21°39' -12' 108° 21°20' -13' 109° 15

16 23°01' -08' 107° 22°43' -09' 108° 22°24' -10' 108° 22°05' -11' 109° 21°46' -12' 109° 21°26' -13' 109° 21°06' -14' 110° 16

17 22°53' -08' 109° 22°34' -09' 109° 22°15' -10' 109° 21°55' -11' 110° 21°34' -12' 110° 21°13' -13' 110° 20°52' -14' 111° 17

18 22°45' -08' 110° 22°25' -09' 110° 22°04' -10' 110° 21°43' -12' 111° 21°22' -13' 111° 21°00' -14' 111° 20°38' -15' 112° 18

19 22°37' -09' 111° 22°16' -10' 111° 21°54' -11' 111° 21°32' -12' 112° 21°09' -13' 112° 20°47' -14' 113° 20°24' -15' 113° 19

20 22°28' -09' 112° 22°06' -10' 112° 21°43' -11' 112° 21°20' -12' 113° 20°57' -13' 113° 20°33' -14' 114° 20°09' -15' 114° 20

21 22°19' -10' 113° 21°56' -11' 113° 21°32' -12' 114° 21°08' -13' 114° 20°43' -14' 114° 20°18' -15' 115° 19°53' -16' 115° 21

22 22°09' -10' 114° 21°45' -11' 114° 21°20' -12' 115° 20°55' -13' 115° 20°29' -14' 115° 20°04' -15' 116° 19°38' -16' 116° 22

23 21°59' -10' 115° 21°34' -11' 115° 21°08' -12' 116° 20°42' -13' 116° 20°15' -14' 116° 19°49' -15' 117° 19°22' -16' 117° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 25°00' 00' 90° 25°00' -01' 90° 24°59' -03' 91° 24°58' -04' 91° 24°56' -05' 92° 24°54' -06' 92° 24°51' -07' 93° 0

1 25°00' -01' 91° 24°58' -02' 92° 24°56' -03' 92° 24°54' -04' 92° 24°51' -05' 93° 24°48' -06' 93° 24°44' -08' 94° 1

2 24°59' -01' 92° 24°56' -02' 93° 24°53' -04' 93° 24°50' -05' 94° 24°46' -06' 94° 24°41' -07' 95° 24°36' -08' 95° 2

3 24°58' -02' 93° 24°54' -03' 94° 24°50' -04' 94° 24°45' -05' 95° 24°40' -06' 95° 24°34' -07' 96° 24°28' -09' 96° 3

4 24°56' -02' 94° 24°51' -03' 95° 24°46' -04' 95° 24°40' -06' 96° 24°34' -07' 96° 24°27' -08' 97° 24°20' -09' 97° 4

5 24°54' -03' 96° 24°48' -04' 96° 24°41' -05' 96° 24°34' -06' 97° 24°27' -07' 97° 24°19' -08' 98° 24°11' -09' 98° 5

6 24°51' -03' 97° 24°44' -04' 97° 24°36' -05' 98° 24°28' -07' 98° 24°20' -08' 98° 24°11' -09' 99° 24°01' -10' 99° 6

7 24°48' -04' 98° 24°40' -05' 98° 24°31' -06' 99° 24°22' -07' 99° 24°12' -08' 100° 24°02' -09' 100° 23°51' -10' 100° 7

8 24°44' -04' 99° 24°35' -05' 99° 24°25' -06' 100° 24°15' -08' 100° 24°04' -09' 101° 23°53' -10' 101° 23°41' -11' 101° 8

9 24°40' -05' 100° 24°30' -06' 100° 24°19' -07' 101° 24°07' -08' 101° 23°55' -09' 102° 23°43' -10' 102° 23°30' -11' 103° 9

10 24°36' -05' 101° 24°24' -06' 101° 24°12' -07' 102° 23°59' -08' 102° 23°46' -10' 103° 23°33' -11' 103° 23°19' -12' 104° 10

11 24°31' -06' 102° 24°18' -07' 103° 24°05' -08' 103° 23°51' -09' 103° 23°37' -10' 104° 23°22' -11' 104° 23°07' -12' 105° 11

12 24°25' -06' 103° 24°11' -07' 104° 23°57' -08' 104° 23°42' -09' 104° 23°27' -10' 105° 23°11' -11' 105° 22°55' -13' 106° 12

13 24°19' -06' 104° 24°04' -08' 105° 23°49' -09' 105° 23°33' -10' 106° 23°16' -11' 106° 23°00' -12' 106° 22°42' -13' 107° 13

14 24°13' -07' 105° 23°56' -08' 106° 23°40' -09' 106° 23°23' -10' 107° 23°05' -11' 107° 22°48' -12' 107° 22°29' -13' 108° 14

15 24°06' -07' 106° 23°48' -09' 107° 23°31' -10' 107° 23°13' -11' 108° 22°54' -12' 108° 22°35' -13' 109° 22°16' -14' 109° 15

16 23°58' -08' 108° 23°40' -09' 108° 23°21' -10' 108° 23°02' -11' 109° 22°42' -12' 109° 22°23' -13' 110° 22°02' -14' 110° 16

17 23°50' -08' 109° 23°31' -09' 109° 23°11' -10' 109° 22°51' -12' 110° 22°30' -13' 110° 22°09' -14' 111° 21°48' -15' 111° 17

18 23°42' -09' 110° 23°21' -10' 110° 23°01' -11' 111° 22°39' -12' 111° 22°18' -13' 111° 21°56' -14' 112° 21°33' -15' 112° 18

19 23°33' -09' 111° 23°12' -10' 111° 22°50' -11' 112° 22°27' -12' 112° 22°05' -13' 112° 21°42' -14' 113° 21°18' -15' 113° 19

20 23°24' -10' 112° 23°01' -11' 112° 22°38' -12' 113° 22°15' -13' 113° 21°51' -14' 113° 21°27' -15' 114° 21°03' -16' 114° 20

21 23°14' -10' 113° 22°51' -11' 113° 22°27' -12' 114° 22°02' -13' 114° 21°38' -14' 114° 21°13' -15' 115° 20°47' -16' 115° 21

22 23°04' -11' 114° 22°40' -12' 114° 22°15' -13' 115° 21°49' -14' 115° 21°24' -15' 116° 20°58' -16' 116° 20°31' -16' 116° 22

23 22°54' -11' 115° 22°28' -12' 115° 22°02' -13' 116° 21°36' -14' 116° 21°09' -15' 117° 20°42' -16' 117° 20°15' -17' 117° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

66° 294° LHA Latitude CONTRARY to Declination 66° 294° LHA

66° 294° LHA Latitude CONTRARY to DECLINATION 66° 294° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

65° 295° LHA Latitude CONTRARY to Declination 65° 295° LHA

65° 295° LHA Latitude CONTRARY to DECLINATION 65° 295° LHA

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Page 61: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 26°00' 00' 90° 26°00' -01' 90° 25°59' -03' 91° 25°58' -04' 91° 25°56' -05' 92° 25°54' -06' 92° 25°51' -07' 93° 0

1 26°00' -01' 91° 25°58' -02' 92° 25°56' -03' 92° 25°54' -04' 93° 25°51' -05' 93° 25°48' -07' 94° 25°44' -08' 94° 1

2 25°59' -01' 92° 25°56' -02' 93° 25°53' -04' 93° 25°50' -05' 94° 25°46' -06' 94° 25°41' -07' 95° 25°36' -08' 95° 2

3 25°58' -02' 93° 25°54' -03' 94° 25°50' -04' 94° 25°45' -05' 95° 25°40' -06' 95° 25°34' -08' 96° 25°28' -09' 96° 3

4 25°56' -02' 94° 25°51' -03' 95° 25°46' -05' 95° 25°40' -06' 96° 25°33' -07' 96° 25°26' -08' 97° 25°19' -09' 97° 4

5 25°54' -03' 96° 25°48' -04' 96° 25°41' -05' 97° 25°34' -06' 97° 25°26' -07' 97° 25°18' -09' 98° 25°10' -10' 98° 5

6 25°51' -03' 97° 25°44' -04' 97° 25°36' -06' 98° 25°28' -07' 98° 25°19' -08' 99° 25°10' -09' 99° 25°00' -10' 99° 6

7 25°48' -04' 98° 25°39' -05' 98° 25°30' -06' 99° 25°21' -07' 99° 25°11' -08' 100° 25°01' -09' 100° 24°50' -11' 101° 7

8 25°44' -04' 99° 25°34' -05' 99° 25°24' -07' 100° 25°14' -08' 100° 25°03' -09' 101° 24°51' -10' 101° 24°39' -11' 102° 8

9 25°39' -05' 100° 25°29' -06' 100° 25°18' -07' 101° 25°06' -08' 101° 24°54' -09' 102° 24°41' -10' 102° 24°28' -12' 103° 9

10 25°35' -05' 101° 25°23' -06' 102° 25°11' -08' 102° 24°58' -09' 102° 24°45' -10' 103° 24°31' -11' 103° 24°17' -12' 104° 10

11 25°29' -06' 102° 25°16' -07' 103° 25°03' -08' 103° 24°49' -09' 104° 24°35' -10' 104° 24°20' -11' 104° 24°05' -12' 105° 11

12 25°23' -06' 103° 25°09' -07' 104° 24°55' -09' 104° 24°40' -10' 105° 24°25' -11' 105° 24°09' -12' 106° 23°52' -13' 106° 12

13 25°17' -07' 104° 25°02' -08' 105° 24°46' -09' 105° 24°30' -10' 106° 24°14' -11' 106° 23°57' -12' 107° 23°40' -13' 107° 13

14 25°10' -07' 106° 24°54' -08' 106° 24°37' -09' 106° 24°20' -11' 107° 24°03' -12' 107° 23°45' -13' 108° 23°26' -14' 108° 14

15 25°03' -08' 107° 24°46' -09' 107° 24°28' -10' 107° 24°10' -11' 108° 23°51' -12' 108° 23°32' -13' 109° 23°12' -14' 109° 15

16 24°55' -08' 108° 24°37' -09' 108° 24°18' -10' 109° 23°59' -11' 109° 23°39' -13' 109° 23°19' -14' 110° 22°58' -15' 110° 16

17 24°47' -09' 109° 24°28' -10' 109° 24°08' -11' 110° 23°47' -12' 110° 23°26' -13' 110° 23°05' -14' 111° 22°44' -15' 111° 17

18 24°38' -09' 110° 24°18' -10' 110° 23°57' -11' 111° 23°35' -12' 111° 23°14' -13' 112° 22°51' -14' 112° 22°29' -15' 112° 18

19 24°29' -10' 111° 24°08' -11' 111° 23°45' -12' 112° 23°23' -13' 112° 23°00' -14' 113° 22°37' -15' 113° 22°13' -16' 113° 19

20 24°20' -10' 112° 23°57' -11' 112° 23°34' -12' 113° 23°10' -13' 113° 22°46' -14' 114° 22°22' -15' 114° 21°57' -16' 114° 20

21 24°09' -11' 113° 23°46' -12' 114° 23°22' -13' 114° 22°57' -14' 114° 22°32' -15' 115° 22°07' -16' 115° 21°41' -17' 115° 21

22 23°59' -11' 114° 23°34' -12' 115° 23°09' -13' 115° 22°43' -14' 115° 22°18' -15' 116° 21°51' -16' 116° 21°25' -17' 116° 22

23 23°48' -11' 115° 23°22' -12' 116° 22°56' -13' 116° 22°29' -14' 116° 22°03' -15' 117° 21°35' -16' 117° 21°08' -17' 118° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 27°00' 00' 90° 27°00' -01' 91° 26°59' -03' 91° 26°58' -04' 92° 26°56' -05' 92° 26°53' -06' 93° 26°50' -07' 93° 0

1 27°00' -01' 91° 26°58' -02' 92° 26°56' -03' 92° 26°54' -04' 93° 26°51' -05' 93° 26°47' -07' 94° 26°43' -08' 94° 1

2 26°59' -01' 92° 26°56' -03' 93° 26°53' -04' 93° 26°49' -05' 94° 26°45' -06' 94° 26°41' -07' 95° 26°35' -08' 95° 2

3 26°58' -02' 93° 26°54' -03' 94° 26°49' -04' 94° 26°45' -05' 95° 26°39' -07' 95° 26°33' -08' 96° 26°27' -09' 96° 3

4 26°56' -02' 94° 26°51' -04' 95° 26°45' -05' 95° 26°39' -06' 96° 26°33' -07' 96° 26°26' -08' 97° 26°18' -09' 97° 4

5 26°53' -03' 96° 26°47' -04' 96° 26°41' -05' 97° 26°33' -06' 97° 26°26' -08' 98° 26°18' -09' 98° 26°09' -10' 99° 5

6 26°50' -03' 97° 26°43' -05' 97° 26°35' -06' 98° 26°27' -07' 98° 26°18' -08' 99° 26°09' -09' 99° 25°59' -10' 100° 6

7 26°47' -04' 98° 26°39' -05' 98° 26°30' -06' 99° 26°20' -07' 99° 26°10' -09' 100° 26°00' -10' 100° 25°49' -11' 101° 7

8 26°43' -05' 99° 26°33' -06' 99° 26°23' -07' 100° 26°13' -08' 100° 26°02' -09' 101° 25°50' -10' 101° 25°38' -11' 102° 8

9 26°38' -05' 100° 26°28' -06' 101° 26°16' -07' 101° 26°05' -08' 102° 25°52' -10' 102° 25°40' -11' 102° 25°27' -12' 103° 9

10 26°33' -06' 101° 26°22' -07' 102° 26°09' -08' 102° 25°56' -09' 103° 25°43' -10' 103° 25°29' -11' 104° 25°15' -12' 104° 10

11 26°28' -06' 102° 26°15' -07' 103° 26°01' -08' 103° 25°47' -09' 104° 25°33' -11' 104° 25°18' -12' 105° 25°02' -13' 105° 11

12 26°22' -07' 103° 26°08' -08' 104° 25°53' -09' 104° 25°38' -10' 105° 25°22' -11' 105° 25°06' -12' 106° 24°50' -13' 106° 12

13 26°15' -07' 105° 26°00' -08' 105° 25°44' -09' 105° 25°28' -10' 106° 25°11' -11' 106° 24°54' -13' 107° 24°37' -14' 107° 13

14 26°08' -08' 106° 25°52' -09' 106° 25°35' -10' 107° 25°18' -11' 107° 25°00' -12' 107° 24°42' -13' 108° 24°23' -14' 108° 14

15 26°01' -08' 107° 25°43' -09' 107° 25°25' -10' 108° 25°07' -11' 108° 24°48' -12' 109° 24°28' -13' 109° 24°09' -15' 109° 15

16 25°52' -09' 108° 25°34' -10' 108° 25°15' -11' 109° 24°55' -12' 109° 24°35' -13' 110° 24°15' -14' 110° 23°54' -15' 110° 16

17 25°44' -09' 109° 25°24' -10' 109° 25°04' -11' 110° 24°43' -12' 110° 24°22' -13' 111° 24°01' -14' 111° 23°39' -15' 112° 17

18 25°35' -10' 110° 25°14' -11' 110° 24°53' -12' 111° 24°31' -13' 111° 24°09' -14' 112° 23°47' -15' 112° 23°24' -16' 113° 18

19 25°25' -10' 111° 25°03' -11' 112° 24°41' -12' 112° 24°18' -13' 112° 23°55' -14' 113° 23°32' -15' 113° 23°08' -16' 114° 19

20 25°15' -11' 112° 24°52' -12' 113° 24°29' -13' 113° 24°05' -14' 113° 23°41' -15' 114° 23°17' -16' 114° 22°52' -17' 115° 20

21 25°05' -11' 113° 24°41' -12' 114° 24°16' -13' 114° 23°52' -14' 115° 23°26' -15' 115° 23°01' -16' 115° 22°35' -17' 116° 21

22 24°54' -11' 114° 24°29' -13' 115° 24°03' -14' 115° 23°38' -15' 116° 23°11' -16' 116° 22°45' -16' 116° 22°18' -17' 117° 22

23 24°42' -12' 115° 24°16' -13' 116° 23°50' -14' 116° 23°23' -15' 117° 22°56' -16' 117° 22°28' -17' 117° 22°01' -18' 118° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

64° 296° LHA Latitude CONTRARY to DECLINATION 64° 296° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

63° 297° LHA Latitude CONTRARY to Declination 63° 297° LHA

63° 297° LHA Latitude CONTRARY to DECLINATION 63° 297° LHA

64° 296° LHA Latitude CONTRARY to Declination 64° 296° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 62: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 28°00' 00' 90° 28°00' -01' 91° 27°59' -03' 91° 27°57' -04' 92° 27°56' -05' 92° 27°53' -06' 93° 27°50' -07' 93° 0

1 28°00' -01' 91° 27°58' -02' 92° 27°56' -03' 92° 27°54' -04' 93° 27°51' -06' 93° 27°47' -07' 94° 27°43' -08' 94° 1

2 27°59' -01' 92° 27°56' -03' 93° 27°53' -04' 93° 27°49' -05' 94° 27°45' -06' 94° 27°40' -07' 95° 27°35' -08' 95° 2

3 27°57' -02' 93° 27°54' -03' 94° 27°49' -04' 94° 27°44' -05' 95° 27°39' -07' 96° 27°33' -08' 96° 27°26' -09' 97° 3

4 27°56' -03' 95° 27°51' -04' 95° 27°45' -05' 96° 27°39' -06' 96° 27°32' -07' 97° 27°25' -08' 97° 27°17' -10' 98° 4

5 27°53' -03' 96° 27°47' -04' 96° 27°40' -05' 97° 27°33' -07' 97° 27°25' -08' 98° 27°17' -09' 98° 27°08' -10' 99° 5

6 27°50' -04' 97° 27°43' -05' 97° 27°35' -06' 98° 27°26' -07' 98° 27°17' -08' 99° 27°08' -09' 99° 26°58' -11' 100° 6

7 27°46' -04' 98° 27°38' -05' 98° 27°29' -06' 99° 27°19' -08' 99° 27°09' -09' 100° 26°58' -10' 100° 26°47' -11' 101° 7

8 27°42' -05' 99° 27°33' -06' 100° 27°22' -07' 100° 27°12' -08' 101° 27°00' -09' 101° 26°48' -10' 102° 26°36' -12' 102° 8

9 27°38' -05' 100° 27°27' -06' 101° 27°15' -08' 101° 27°03' -09' 102° 26°51' -10' 102° 26°38' -11' 103° 26°25' -12' 103° 9

10 27°32' -06' 101° 27°20' -07' 102° 27°08' -08' 102° 26°55' -09' 103° 26°41' -10' 103° 26°27' -11' 104° 26°13' -13' 104° 10

11 27°27' -06' 102° 27°13' -07' 103° 27°00' -09' 103° 26°45' -10' 104° 26°31' -11' 104° 26°16' -12' 105° 26°00' -13' 105° 11

12 27°20' -07' 104° 27°06' -08' 104° 26°51' -09' 105° 26°36' -10' 105° 26°20' -11' 105° 26°04' -12' 106° 25°47' -14' 106° 12

13 27°13' -07' 105° 26°58' -09' 105° 26°42' -10' 106° 26°26' -11' 106° 26°09' -12' 107° 25°51' -13' 107° 25°33' -14' 108° 13

14 27°06' -08' 106° 26°49' -09' 106° 26°32' -10' 107° 26°15' -11' 107° 25°57' -12' 108° 25°38' -13' 108° 25°19' -14' 109° 14

15 26°58' -08' 107° 26°40' -10' 107° 26°22' -11' 108° 26°04' -12' 108° 25°45' -13' 109° 25°25' -14' 109° 25°05' -15' 110° 15

16 26°50' -09' 108° 26°31' -10' 108° 26°12' -11' 109° 25°52' -12' 109° 25°32' -13' 110° 25°11' -14' 110° 24°50' -15' 111° 16

17 26°41' -09' 109° 26°21' -11' 110° 26°00' -12' 110° 25°40' -13' 110° 25°18' -14' 111° 24°57' -15' 111° 24°35' -16' 112° 17

18 26°31' -10' 110° 26°10' -11' 111° 25°49' -12' 111° 25°27' -13' 112° 25°05' -14' 112° 24°42' -15' 112° 24°19' -16' 113° 18

19 26°21' -10' 111° 25°59' -12' 112° 25°37' -13' 112° 25°14' -14' 113° 24°50' -15' 113° 24°27' -16' 114° 24°03' -17' 114° 19

20 26°11' -11' 112° 25°48' -12' 113° 25°24' -13' 113° 25°00' -14' 114° 24°36' -15' 114° 24°11' -16' 115° 23°46' -17' 115° 20

21 26°00' -11' 113° 25°36' -13' 114° 25°11' -14' 114° 24°46' -15' 115° 24°21' -16' 115° 23°55' -17' 116° 23°29' -18' 116° 21

22 25°48' -12' 115° 25°23' -13' 115° 24°57' -14' 115° 24°31' -15' 116° 24°05' -16' 116° 23°38' -17' 117° 23°11' -18' 117° 22

23 25°36' -12' 116° 25°10' -13' 116° 24°43' -14' 117° 24°16' -15' 117° 23°49' -16' 117° 23°21' -17' 118° 22°53' -18' 118° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 29°00' 00' 90° 29°00' -01' 91° 28°59' -03' 91° 28°57' -04' 92° 28°55' -05' 92° 28°53' -06' 93° 28°50' -07' 93° 0

1 29°00' -01' 91° 28°58' -02' 92° 28°56' -03' 92° 28°54' -04' 93° 28°50' -06' 93° 28°46' -07' 94° 28°42' -08' 94° 1

2 28°59' -01' 92° 28°56' -03' 93° 28°53' -04' 93° 28°49' -05' 94° 28°45' -06' 94° 28°40' -07' 95° 28°34' -09' 96° 2

3 28°57' -02' 93° 28°54' -03' 94° 28°49' -04' 95° 28°44' -06' 95° 28°38' -07' 96° 28°32' -08' 96° 28°26' -09' 97° 3

4 28°55' -03' 95° 28°50' -04' 95° 28°45' -05' 96° 28°38' -06' 96° 28°32' -07' 97° 28°24' -09' 97° 28°16' -10' 98° 4

5 28°53' -03' 96° 28°46' -04' 96° 28°40' -06' 97° 28°32' -07' 97° 28°24' -08' 98° 28°16' -09' 98° 28°07' -10' 99° 5

6 28°50' -04' 97° 28°42' -05' 97° 28°34' -06' 98° 28°26' -07' 98° 28°16' -08' 99° 28°07' -10' 100° 27°57' -11' 100° 6

7 28°46' -04' 98° 28°37' -06' 99° 28°28' -07' 99° 28°18' -08' 100° 28°08' -09' 100° 27°57' -10' 101° 27°46' -11' 101° 7

8 28°41' -05' 99° 28°32' -06' 100° 28°21' -07' 100° 28°10' -08' 101° 27°59' -10' 101° 27°47' -11' 102° 27°35' -12' 102° 8

9 28°37' -05' 100° 28°26' -07' 101° 28°14' -08' 101° 28°02' -09' 102° 27°49' -10' 102° 27°36' -11' 103° 27°23' -12' 103° 9

10 28°31' -06' 101° 28°19' -07' 102° 28°06' -08' 102° 27°53' -09' 103° 27°39' -11' 103° 27°25' -12' 104° 27°10' -13' 104° 10

11 28°25' -07' 103° 28°12' -08' 103° 27°58' -09' 104° 27°44' -10' 104° 27°29' -11' 105° 27°13' -12' 105° 26°58' -13' 106° 11

12 28°18' -07' 104° 28°04' -08' 104° 27°49' -09' 105° 27°34' -11' 105° 27°18' -12' 106° 27°01' -13' 106° 26°44' -14' 107° 12

13 28°11' -08' 105° 27°56' -09' 105° 27°40' -10' 106° 27°23' -11' 106° 27°06' -12' 107° 26°48' -13' 107° 26°30' -14' 108° 13

14 28°04' -08' 106° 27°47' -09' 106° 27°30' -10' 107° 27°12' -12' 107° 26°54' -13' 108° 26°35' -14' 108° 26°16' -15' 109° 14

15 27°55' -09' 107° 27°38' -10' 108° 27°19' -11' 108° 27°00' -12' 109° 26°41' -13' 109° 26°21' -14' 109° 26°01' -15' 110° 15

16 27°47' -09' 108° 27°28' -10' 109° 27°08' -12' 109° 26°48' -13' 110° 26°28' -14' 110° 26°07' -15' 111° 25°46' -16' 111° 16

17 27°37' -10' 109° 27°17' -11' 110° 26°57' -12' 110° 26°36' -13' 111° 26°14' -14' 111° 25°52' -15' 112° 25°30' -16' 112° 17

18 27°27' -10' 110° 27°06' -11' 111° 26°45' -13' 111° 26°23' -14' 112° 26°00' -15' 112° 25°37' -16' 113° 25°14' -17' 113° 18

19 27°17' -11' 111° 26°55' -12' 112° 26°32' -13' 112° 26°09' -14' 113° 25°45' -15' 113° 25°21' -16' 114° 24°57' -17' 114° 19

20 27°06' -11' 113° 26°43' -12' 113° 26°19' -14' 114° 25°55' -15' 114° 25°30' -16' 114° 25°05' -17' 115° 24°40' -18' 115° 20

21 26°55' -12' 114° 26°30' -13' 114° 26°06' -14' 115° 25°40' -15' 115° 25°15' -16' 115° 24°49' -17' 116° 24°22' -18' 116° 21

22 26°43' -12' 115° 26°17' -13' 115° 25°52' -14' 116° 25°25' -16' 116° 24°59' -16' 117° 24°32' -17' 117° 24°04' -18' 117° 22

23 26°30' -13' 116° 26°04' -14' 116° 25°37' -15' 117° 25°10' -16' 117° 24°42' -17' 118° 24°14' -18' 118° 23°46' -19' 118° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

61° 299° LHA Latitude CONTRARY to DECLINATION 61° 299° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

62° 298° LHA Latitude CONTRARY to Declination 62° 298° LHA

62° 298° LHA Latitude CONTRARY to DECLINATION 62° 298° LHA

61° 299° LHA Latitude CONTRARY to Declination 61° 299° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 63: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 30°00' 00' 90° 30°00' -02' 91° 29°59' -03' 91° 29°57' -04' 92° 29°55' -05' 92° 29°52' -06' 93° 29°49' -08' 93° 0

1 30°00' -01' 91° 29°58' -02' 92° 29°56' -03' 92° 29°53' -05' 93° 29°50' -06' 93° 29°46' -07' 94° 29°42' -08' 95° 1

2 29°59' -02' 92° 29°56' -03' 93° 29°53' -04' 93° 29°49' -05' 94° 29°44' -06' 95° 29°39' -08' 95° 29°34' -09' 96° 2

3 29°57' -02' 93° 29°53' -03' 94° 29°49' -05' 95° 29°44' -06' 95° 29°38' -07' 96° 29°32' -08' 96° 29°25' -09' 97° 3

4 29°55' -03' 95° 29°50' -04' 95° 29°44' -05' 96° 29°38' -06' 96° 29°31' -07' 97° 29°24' -09' 97° 29°16' -10' 98° 4

5 29°52' -03' 96° 29°46' -05' 96° 29°39' -06' 97° 29°32' -07' 97° 29°24' -08' 98° 29°15' -09' 99° 29°06' -10' 99° 5

6 29°49' -04' 97° 29°42' -05' 97° 29°34' -06' 98° 29°25' -07' 99° 29°16' -09' 99° 29°06' -10' 100° 28°55' -11' 100° 6

7 29°45' -05' 98° 29°37' -06' 99° 29°27' -07' 99° 29°17' -08' 100° 29°07' -09' 100° 28°56' -10' 101° 28°44' -12' 101° 7

8 29°41' -05' 99° 29°31' -06' 100° 29°20' -07' 100° 29°09' -09' 101° 28°58' -10' 101° 28°46' -11' 102° 28°33' -12' 103° 8

9 29°36' -06' 100° 29°25' -07' 101° 29°13' -08' 101° 29°01' -09' 102° 28°48' -10' 103° 28°35' -11' 103° 28°21' -13' 104° 9

10 29°30' -06' 102° 29°18' -07' 102° 29°05' -09' 103° 28°51' -10' 103° 28°38' -11' 104° 28°23' -12' 104° 28°08' -13' 105° 10

11 29°24' -07' 103° 29°10' -08' 103° 28°56' -09' 104° 28°42' -10' 104° 28°27' -11' 105° 28°11' -13' 105° 27°55' -14' 106° 11

12 29°17' -07' 104° 29°02' -09' 104° 28°47' -10' 105° 28°31' -11' 105° 28°15' -12' 106° 27°59' -13' 106° 27°41' -14' 107° 12

13 29°09' -08' 105° 28°54' -09' 105° 28°37' -10' 106° 28°21' -11' 107° 28°03' -13' 107° 27°45' -14' 108° 27°27' -15' 108° 13

14 29°01' -09' 106° 28°44' -10' 107° 28°27' -11' 107° 28°09' -12' 108° 27°51' -13' 108° 27°32' -14' 109° 27°12' -15' 109° 14

15 28°53' -09' 107° 28°35' -10' 108° 28°16' -11' 108° 27°57' -12' 109° 27°38' -14' 109° 27°18' -15' 110° 26°57' -16' 110° 15

16 28°44' -10' 108° 28°24' -11' 109° 28°05' -12' 109° 27°45' -13' 110° 27°24' -14' 110° 27°03' -15' 111° 26°41' -16' 111° 16

17 28°34' -10' 109° 28°14' -11' 110° 27°53' -12' 110° 27°32' -14' 111° 27°10' -15' 111° 26°48' -16' 112° 26°25' -17' 112° 17

18 28°24' -11' 111° 28°02' -12' 111° 27°40' -13' 112° 27°18' -14' 112° 26°55' -15' 113° 26°32' -16' 113° 26°09' -17' 113° 18

19 28°13' -11' 112° 27°50' -12' 112° 27°28' -13' 113° 27°04' -15' 113° 26°40' -16' 114° 26°16' -17' 114° 25°51' -18' 115° 19

20 28°01' -12' 113° 27°38' -13' 113° 27°14' -14' 114° 26°50' -15' 114° 26°25' -16' 115° 26°00' -17' 115° 25°34' -18' 116° 20

21 27°50' -12' 114° 27°25' -13' 114° 27°00' -15' 115° 26°35' -16' 115° 26°09' -17' 116° 25°42' -18' 116° 25°16' -19' 117° 21

22 27°37' -13' 115° 27°12' -14' 115° 26°46' -15' 116° 26°19' -16' 116° 25°52' -17' 117° 25°25' -18' 117° 24°57' -19' 118° 22

23 27°24' -13' 116° 26°58' -14' 117° 26°31' -15' 117° 26°03' -16' 117° 25°35' -17' 118° 25°07' -18' 118° 24°38' -19' 119° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 31°00' 00' 90° 31°00' -02' 91° 30°59' -03' 91° 30°57' -04' 92° 30°55' -05' 92° 30°52' -06' 93° 30°49' -08' 94° 0

1 31°00' -01' 91° 30°58' -02' 92° 30°56' -03' 92° 30°53' -05' 93° 30°50' -06' 94° 30°46' -07' 94° 30°41' -08' 95° 1

2 30°59' -02' 92° 30°56' -03' 93° 30°53' -04' 94° 30°49' -05' 94° 30°44' -06' 95° 30°39' -08' 95° 30°33' -09' 96° 2

3 30°57' -02' 93° 30°53' -03' 94° 30°49' -05' 95° 30°43' -06' 95° 30°38' -07' 96° 30°31' -08' 96° 30°24' -09' 97° 3

4 30°55' -03' 95° 30°50' -04' 95° 30°44' -05' 96° 30°38' -06' 96° 30°31' -08' 97° 30°23' -09' 98° 30°15' -10' 98° 4

5 30°52' -03' 96° 30°46' -05' 96° 30°39' -06' 97° 30°31' -07' 98° 30°23' -08' 98° 30°14' -09' 99° 30°05' -11' 99° 5

6 30°49' -04' 97° 30°41' -05' 98° 30°33' -06' 98° 30°24' -08' 99° 30°15' -09' 99° 30°05' -10' 100° 29°54' -11' 100° 6

7 30°45' -05' 98° 30°36' -06' 99° 30°26' -07' 99° 30°16' -08' 100° 30°06' -09' 100° 29°55' -11' 101° 29°43' -12' 102° 7

8 30°40' -05' 99° 30°30' -06' 100° 30°19' -08' 100° 30°08' -09' 101° 29°56' -10' 102° 29°44' -11' 102° 29°31' -12' 103° 8

9 30°35' -06' 100° 30°23' -07' 101° 30°12' -08' 102° 29°59' -09' 102° 29°46' -11' 103° 29°33' -12' 103° 29°19' -13' 104° 9

10 30°29' -07' 102° 30°16' -08' 102° 30°03' -09' 103° 29°50' -10' 103° 29°36' -11' 104° 29°21' -12' 104° 29°06' -13' 105° 10

11 30°22' -07' 103° 30°09' -08' 103° 29°54' -09' 104° 29°40' -11' 104° 29°25' -12' 105° 29°09' -13' 106° 28°52' -14' 106° 11

12 30°15' -08' 104° 30°00' -09' 104° 29°45' -10' 105° 29°29' -11' 106° 29°13' -12' 106° 28°56' -13' 107° 28°38' -15' 107° 12

13 30°07' -08' 105° 29°51' -09' 106° 29°35' -11' 106° 29°18' -12' 107° 29°00' -13' 107° 28°42' -14' 108° 28°24' -15' 108° 13

14 29°59' -09' 106° 29°42' -10' 107° 29°24' -11' 107° 29°06' -12' 108° 28°48' -13' 108° 28°28' -15' 109° 28°09' -16' 109° 14

15 29°50' -10' 107° 29°32' -11' 108° 29°13' -12' 108° 28°54' -13' 109° 28°34' -14' 109° 28°14' -15' 110° 27°53' -16' 110° 15

16 29°41' -10' 108° 29°21' -11' 109° 29°01' -12' 110° 28°41' -13' 110° 28°20' -14' 111° 27°59' -16' 111° 27°37' -17' 112° 16

17 29°30' -11' 110° 29°10' -12' 110° 28°49' -13' 111° 28°28' -14' 111° 28°06' -15' 112° 27°43' -16' 112° 27°20' -17' 113° 17

18 29°20' -11' 111° 28°58' -12' 111° 28°36' -13' 112° 28°14' -14' 112° 27°51' -16' 113° 27°27' -17' 113° 27°03' -18' 114° 18

19 29°09' -12' 112° 28°46' -13' 112° 28°23' -14' 113° 27°59' -15' 113° 27°35' -16' 114° 27°11' -17' 114° 26°46' -18' 115° 19

20 28°57' -12' 113° 28°33' -13' 114° 28°09' -14' 114° 27°44' -16' 114° 27°19' -17' 115° 26°54' -18' 115° 26°28' -19' 116° 20

21 28°44' -13' 114° 28°20' -14' 115° 27°54' -15' 115° 27°29' -16' 116° 27°03' -17' 116° 26°36' -18' 116° 26°09' -19' 117° 21

22 28°31' -13' 115° 28°06' -14' 116° 27°39' -16' 116° 27°13' -17' 117° 26°46' -18' 117° 26°18' -19' 118° 25°50' -19' 118° 22

23 28°18' -14' 116° 27°51' -15' 117° 27°24' -16' 117° 26°56' -17' 118° 26°28' -18' 118° 25°59' -19' 119° 25°31' -20' 119° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

60° 300° LHA Latitude CONTRARY to Declination 60° 300° LHA

60° 300° LHA Latitude CONTRARY to DECLINATION 60° 300° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

59° 301° LHA Latitude CONTRARY to Declination 59° 301° LHA

59° 301° LHA Latitude CONTRARY to DECLINATION 59° 301° LHA

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Page 64: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 32°00' 00' 90° 32°00' -02' 91° 31°59' -03' 91° 31°57' -04' 92° 31°55' -05' 92° 31°52' -06' 93° 31°48' -08' 94° 0

1 32°00' -01' 91° 31°58' -02' 92° 31°56' -03' 92° 31°53' -05' 93° 31°50' -06' 94° 31°45' -07' 94° 31°41' -08' 95° 1

2 31°59' -02' 92° 31°56' -03' 93° 31°52' -04' 94° 31°48' -05' 94° 31°44' -07' 95° 31°38' -08' 95° 31°32' -09' 96° 2

3 31°57' -02' 94° 31°53' -04' 94° 31°48' -05' 95° 31°43' -06' 95° 31°37' -07' 96° 31°30' -08' 97° 31°23' -10' 97° 3

4 31°55' -03' 95° 31°50' -04' 95° 31°44' -05' 96° 31°37' -07' 97° 31°30' -08' 97° 31°22' -09' 98° 31°14' -10' 98° 4

5 31°52' -04' 96° 31°45' -05' 97° 31°38' -06' 97° 31°30' -07' 98° 31°22' -08' 98° 31°13' -10' 99° 31°03' -11' 100° 5

6 31°48' -04' 97° 31°41' -05' 98° 31°32' -07' 98° 31°23' -08' 99° 31°14' -09' 99° 31°03' -10' 100° 30°53' -11' 101° 6

7 31°44' -05' 98° 31°35' -06' 99° 31°26' -07' 99° 31°15' -08' 100° 31°05' -10' 101° 30°53' -11' 101° 30°41' -12' 102° 7

8 31°39' -06' 99° 31°29' -07' 100° 31°18' -08' 101° 31°07' -09' 101° 30°55' -10' 102° 30°42' -11' 102° 30°29' -13' 103° 8

9 31°34' -06' 101° 31°22' -07' 101° 31°10' -09' 102° 30°58' -10' 102° 30°45' -11' 103° 30°31' -12' 104° 30°17' -13' 104° 9

10 31°27' -07' 102° 31°15' -08' 102° 31°02' -09' 103° 30°48' -10' 104° 30°34' -11' 104° 30°19' -13' 105° 30°03' -14' 105° 10

11 31°21' -07' 103° 31°07' -09' 104° 30°53' -10' 104° 30°38' -11' 105° 30°22' -12' 105° 30°06' -13' 106° 29°50' -14' 106° 11

12 31°13' -08' 104° 30°58' -09' 105° 30°43' -10' 105° 30°27' -12' 106° 30°10' -13' 106° 29°53' -14' 107° 29°35' -15' 107° 12

13 31°05' -09' 105° 30°49' -10' 106° 30°33' -11' 106° 30°15' -12' 107° 29°58' -13' 107° 29°39' -14' 108° 29°20' -15' 109° 13

14 30°57' -09' 106° 30°39' -10' 107° 30°22' -12' 108° 30°03' -13' 108° 29°44' -14' 109° 29°25' -15' 109° 29°05' -16' 110° 14

15 30°47' -10' 108° 30°29' -11' 108° 30°10' -12' 109° 29°51' -13' 109° 29°31' -14' 110° 29°10' -15' 110° 28°49' -17' 111° 15

16 30°37' -10' 109° 30°18' -12' 109° 29°58' -13' 110° 29°37' -14' 110° 29°16' -15' 111° 28°55' -16' 111° 28°32' -17' 112° 16

17 30°27' -11' 110° 30°06' -12' 110° 29°45' -13' 111° 29°23' -14' 111° 29°01' -15' 112° 28°39' -17' 112° 28°15' -18' 113° 17

18 30°16' -12' 111° 29°54' -13' 112° 29°32' -14' 112° 29°09' -15' 113° 28°46' -16' 113° 28°22' -17' 114° 27°58' -18' 114° 18

19 30°04' -12' 112° 29°41' -13' 113° 29°18' -14' 113° 28°54' -15' 114° 28°30' -17' 114° 28°05' -18' 115° 27°40' -19' 115° 19

20 29°52' -13' 113° 29°28' -14' 114° 29°04' -15' 114° 28°39' -16' 115° 28°13' -17' 115° 27°47' -18' 116° 27°21' -19' 116° 20

21 29°39' -13' 114° 29°14' -14' 115° 28°49' -15' 115° 28°23' -17' 116° 27°56' -18' 116° 27°29' -19' 117° 27°02' -20' 117° 21

22 29°26' -14' 115° 29°00' -15' 116° 28°33' -16' 116° 28°06' -17' 117° 27°39' -18' 117° 27°11' -19' 118° 26°43' -20' 118° 22

23 29°12' -15' 117° 28°45' -16' 117° 28°17' -17' 118° 27°49' -18' 118° 27°21' -19' 118° 26°52' -20' 119° 26°23' -20' 119° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 33°00' 00' 90° 33°00' -02' 91° 32°59' -03' 91° 32°57' -04' 92° 32°55' -05' 93° 32°52' -07' 93° 32°48' -08' 94° 0

1 1°14' -01' 91° 1°12' -02' 92° 1°11' -04' 92° 1°09' -05' 93° 1°07' -06' 94° 1°05' -07' 94° 1°04' -08' 95° 1

2 32°59' -02' 92° 32°56' -03' 93° 32°52' -04' 94° 32°48' -05' 94° 32°43' -07' 95° 32°38' -08' 96° 32°32' -09' 96° 2

3 32°57' -02' 94° 32°53' -04' 94° 32°48' -05' 95° 32°43' -06' 96° 32°37' -07' 96° 32°30' -09' 97° 32°22' -10' 97° 3

4 32°55' -03' 95° 32°49' -04' 95° 32°43' -06' 96° 32°37' -07' 97° 32°29' -08' 97° 32°21' -09' 98° 32°13' -10' 99° 4

5 32°52' -04' 96° 32°45' -05' 97° 32°38' -06' 97° 32°30' -07' 98° 32°21' -09' 98° 32°12' -10' 99° 32°02' -11' 100° 5

6 32°48' -04' 97° 32°40' -06' 98° 32°32' -07' 98° 32°22' -08' 99° 32°13' -09' 100° 32°02' -10' 100° 31°51' -12' 101° 6

7 32°43' -05' 98° 32°34' -06' 99° 32°25' -08' 100° 32°14' -09' 100° 32°03' -10' 101° 31°52' -11' 101° 31°40' -12' 102° 7

8 32°38' -06' 100° 32°28' -07' 100° 32°17' -08' 101° 32°06' -09' 101° 31°54' -11' 102° 31°41' -12' 103° 31°27' -13' 103° 8

9 32°33' -06' 101° 32°21' -08' 101° 32°09' -09' 102° 31°56' -10' 103° 31°43' -11' 103° 31°29' -12' 104° 31°14' -13' 104° 9

10 32°26' -07' 102° 32°14' -08' 102° 32°00' -09' 103° 31°46' -11' 104° 31°32' -12' 104° 31°17' -13' 105° 31°01' -14' 105° 10

11 32°19' -08' 103° 32°05' -09' 104° 31°51' -10' 104° 31°36' -11' 105° 31°20' -12' 105° 31°04' -14' 106° 30°47' -15' 107° 11

12 32°11' -08' 104° 31°56' -10' 105° 31°41' -11' 105° 31°24' -12' 106° 31°08' -13' 107° 30°50' -14' 107° 30°32' -15' 108° 12

13 32°03' -09' 105° 31°47' -10' 106° 31°30' -11' 107° 31°13' -12' 107° 30°55' -14' 108° 30°36' -15' 108° 30°17' -16' 109° 13

14 31°54' -10' 107° 31°37' -11' 107° 31°19' -12' 108° 31°00' -13' 108° 30°41' -14' 109° 30°21' -15' 109° 30°01' -16' 110° 14

15 31°44' -10' 108° 31°26' -11' 108° 31°07' -13' 109° 30°47' -14' 109° 30°27' -15' 110° 30°06' -16' 111° 29°45' -17' 111° 15

16 31°34' -11' 109° 31°15' -12' 109° 30°54' -13' 110° 30°33' -14' 111° 30°12' -15' 111° 29°50' -16' 112° 29°28' -17' 112° 16

17 31°23' -11' 110° 31°02' -13' 111° 30°41' -14' 111° 30°19' -15' 112° 29°57' -16' 112° 29°34' -17' 113° 29°10' -18' 113° 17

18 31°12' -12' 111° 30°50' -13' 112° 30°27' -14' 112° 30°04' -15' 113° 29°41' -16' 113° 29°17' -18' 114° 28°52' -19' 114° 18

19 31°00' -13' 112° 30°37' -14' 113° 30°13' -15' 113° 29°49' -16' 114° 29°24' -17' 114° 28°59' -18' 115° 28°34' -19' 115° 19

20 30°47' -13' 113° 30°23' -14' 114° 29°58' -15' 115° 29°33' -16' 115° 29°07' -18' 116° 28°41' -19' 116° 28°15' -20' 117° 20

21 30°34' -14' 115° 30°08' -15' 115° 29°43' -16' 116° 29°17' -17' 116° 28°50' -18' 117° 28°23' -19' 117° 27°55' -20' 118° 21

22 30°20' -14' 116° 29°54' -16' 116° 29°27' -17' 117° 29°00' -18' 117° 28°32' -19' 118° 28°04' -20' 118° 27°35' -21' 119° 22

23 30°05' -15' 117° 29°38' -16' 117° 29°10' -17' 118° 28°42' -18' 118° 28°13' -19' 119° 27°44' -20' 119° 27°15' -21' 120° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

58° 302° LHA Latitude CONTRARY to DECLINATION 58° 302° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

57° 303° LHA Latitude CONTRARY to Declination 57° 303° LHA

57° 303° LHA Latitude CONTRARY to DECLINATION 57° 303° LHA

58° 302° LHA Latitude CONTRARY to Declination 58° 302° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

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Page 65: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 34°00' 00' 90° 34°00' -02' 91° 33°59' -03' 91° 33°57' -04' 92° 33°54' -05' 93° 33°51' -07' 93° 33°47' -08' 94° 0

1 34°00' -01' 91° 33°58' -02' 92° 33°56' -04' 93° 33°53' -05' 93° 33°49' -06' 94° 33°45' -07' 95° 33°39' -09' 95° 1

2 33°59' -02' 92° 33°56' -03' 93° 33°52' -04' 94° 33°48' -06' 94° 33°43' -07' 95° 33°37' -08' 96° 33°31' -09' 96° 2

3 33°57' -02' 94° 33°53' -04' 94° 33°48' -05' 95° 33°42' -06' 96° 33°36' -07' 96° 33°29' -09' 97° 33°22' -10' 98° 3

4 33°54' -03' 95° 33°49' -04' 95° 33°43' -06' 96° 33°36' -07' 97° 33°29' -08' 97° 33°20' -09' 98° 33°12' -11' 99° 4

5 33°51' -04' 96° 33°45' -05' 97° 33°37' -06' 97° 33°29' -08' 98° 33°20' -09' 99° 33°11' -10' 99° 33°01' -11' 100° 5

6 33°47' -05' 97° 33°39' -06' 98° 33°31' -07' 99° 33°22' -08' 99° 33°12' -09' 100° 33°01' -11' 100° 32°50' -12' 101° 6

7 33°43' -05' 98° 33°34' -06' 99° 33°24' -08' 100° 33°13' -09' 100° 33°02' -10' 101° 32°50' -11' 102° 32°38' -13' 102° 7

8 33°37' -06' 100° 33°27' -07' 100° 33°16' -08' 101° 33°04' -10' 102° 32°52' -11' 102° 32°39' -12' 103° 32°25' -13' 103° 8

9 33°32' -07' 101° 33°20' -08' 101° 33°08' -09' 102° 32°55' -10' 103° 32°41' -11' 103° 32°27' -13' 104° 32°12' -14' 105° 9

10 33°25' -07' 102° 33°12' -09' 103° 32°59' -10' 103° 32°45' -11' 104° 32°30' -12' 105° 32°14' -13' 105° 31°58' -14' 106° 10

11 33°18' -08' 103° 33°04' -09' 104° 32°49' -10' 104° 32°34' -12' 105° 32°18' -13' 106° 32°01' -14' 106° 31°44' -15' 107° 11

12 33°10' -09' 104° 32°54' -10' 105° 32°39' -11' 106° 32°22' -12' 106° 32°05' -13' 107° 31°47' -14' 107° 31°29' -16' 108° 12

13 33°01' -09' 106° 32°44' -11' 106° 32°27' -12' 107° 32°10' -13' 107° 31°52' -14' 108° 31°33' -15' 109° 31°13' -16' 109° 13

14 32°52' -10' 107° 32°34' -11' 107° 32°16' -12' 108° 31°57' -13' 109° 31°38' -15' 109° 31°18' -16' 110° 30°57' -17' 110° 14

15 32°42' -11' 108° 32°23' -12' 109° 32°03' -13' 109° 31°44' -14' 110° 31°23' -15' 110° 31°02' -16' 111° 30°40' -17' 111° 15

16 32°31' -11' 109° 32°11' -12' 110° 31°51' -14' 110° 31°29' -15' 111° 31°08' -16' 111° 30°46' -17' 112° 30°23' -18' 113° 16

17 32°20' -12' 110° 31°59' -13' 111° 31°37' -14' 111° 31°15' -15' 112° 30°52' -16' 113° 30°29' -17' 113° 30°05' -18' 114° 17

18 32°08' -13' 111° 31°46' -14' 112° 31°23' -15' 113° 31°00' -16' 113° 30°36' -17' 114° 30°11' -18' 114° 29°47' -19' 115° 18

19 31°55' -13' 113° 31°32' -14' 113° 31°08' -15' 114° 30°44' -16' 114° 30°19' -17' 115° 29°53' -19' 115° 29°28' -20' 116° 19

20 31°42' -14' 114° 31°18' -15' 114° 30°53' -16' 115° 30°27' -17' 115° 30°01' -18' 116° 29°35' -19' 116° 29°08' -20' 117° 20

21 31°28' -14' 115° 31°03' -15' 115° 30°37' -17' 116° 30°10' -18' 116° 29°43' -19' 117° 29°16' -20' 117° 28°48' -21' 118° 21

22 31°14' -15' 116° 30°47' -16' 117° 30°20' -17' 117° 29°53' -18' 118° 29°25' -19' 118° 28°56' -20' 119° 28°27' -21' 119° 22

23 30°59' -16' 117° 30°31' -17' 118° 30°03' -18' 118° 29°35' -19' 119° 29°06' -20' 119° 28°36' -21' 120° 28°06' -22' 120° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 35°00' 00' 90° 35°00' -02' 91° 34°59' -03' 91° 34°57' -04' 92° 34°54' -05' 93° 34°51' -07' 93° 34°47' -08' 94° 0

1 35°00' -01' 91° 34°58' -02' 92° 34°56' -04' 93° 34°53' -05' 93° 34°49' -06' 94° 34°44' -07' 95° 34°39' -09' 95° 1

2 34°59' -02' 92° 34°56' -03' 93° 34°52' -04' 94° 34°48' -06' 95° 34°42' -07' 95° 34°37' -08' 96° 34°30' -09' 97° 2

3 34°57' -03' 94° 34°53' -04' 94° 34°48' -05' 95° 34°42' -06' 96° 34°36' -08' 96° 34°29' -09' 97° 34°21' -10' 98° 3

4 34°54' -03' 95° 34°49' -05' 96° 34°42' -06' 96° 34°36' -07' 97° 34°28' -08' 98° 34°20' -10' 98° 34°11' -11' 99° 4

5 34°51' -04' 96° 34°44' -05' 97° 34°37' -07' 97° 34°29' -08' 98° 34°20' -09' 99° 34°10' -10' 100° 34°00' -11' 100° 5

6 34°47' -05' 97° 34°39' -06' 98° 34°30' -07' 99° 34°21' -08' 99° 34°11' -10' 100° 34°00' -11' 101° 33°48' -12' 101° 6

7 34°42' -05' 99° 34°33' -07' 99° 34°23' -08' 100° 34°12' -09' 101° 34°01' -10' 101° 33°49' -12' 102° 33°36' -13' 103° 7

8 34°37' -06' 100° 34°26' -07' 100° 34°15' -09' 101° 34°03' -10' 102° 33°51' -11' 102° 33°37' -12' 103° 33°23' -13' 104° 8

9 34°30' -07' 101° 34°19' -08' 102° 34°06' -09' 102° 33°53' -11' 103° 33°39' -12' 104° 33°25' -13' 104° 33°10' -14' 105° 9

10 34°24' -08' 102° 34°11' -09' 103° 33°57' -10' 103° 33°43' -11' 104° 33°28' -12' 105° 33°12' -14' 105° 32°56' -15' 106° 10

11 34°16' -08' 103° 34°02' -10' 104° 33°47' -11' 105° 33°31' -12' 105° 33°15' -13' 106° 32°58' -14' 107° 32°41' -15' 107° 11

12 34°08' -09' 105° 33°52' -10' 105° 33°36' -11' 106° 33°20' -13' 106° 33°02' -14' 107° 32°44' -15' 108° 32°26' -16' 108° 12

13 33°59' -10' 106° 33°42' -11' 106° 33°25' -12' 107° 33°07' -13' 108° 32°48' -14' 108° 32°29' -15' 109° 32°10' -17' 109° 13

14 33°49' -10' 107° 33°31' -12' 108° 33°13' -13' 108° 32°54' -14' 109° 32°34' -15' 109° 32°14' -16' 110° 31°53' -17' 111° 14

15 33°39' -11' 108° 33°20' -12' 109° 33°00' -13' 109° 32°40' -14' 110° 32°19' -16' 111° 31°58' -17' 111° 31°36' -18' 112° 15

16 33°28' -12' 109° 33°07' -13' 110° 32°47' -14' 111° 32°25' -15' 111° 32°04' -16' 112° 31°41' -17' 112° 31°18' -18' 113° 16

17 33°16' -12' 110° 32°55' -13' 111° 32°33' -15' 112° 32°10' -16' 112° 31°47' -17' 113° 31°24' -18' 113° 31°00' -19' 114° 17

18 33°04' -13' 112° 32°41' -14' 112° 32°18' -15' 113° 31°55' -16' 113° 31°30' -17' 114° 31°06' -18' 115° 30°41' -20' 115° 18

19 32°51' -14' 113° 32°27' -15' 113° 32°03' -16' 114° 31°38' -17' 115° 31°13' -18' 115° 30°47' -19' 116° 30°21' -20' 116° 19

20 32°37' -14' 114° 32°12' -15' 115° 31°47' -16' 115° 31°21' -18' 116° 30°55' -19' 116° 30°28' -20' 117° 30°01' -21' 117° 20

21 32°23' -15' 115° 31°57' -16' 116° 31°31' -17' 116° 31°04' -18' 117° 30°37' -19' 117° 30°09' -20' 118° 29°41' -21' 118° 21

22 32°08' -16' 116° 31°41' -17' 117° 31°14' -18' 117° 30°46' -19' 118° 30°17' -20' 118° 29°49' -21' 119° 29°19' -22' 119° 22

23 31°52' -16' 117° 31°24' -17' 118° 30°56' -18' 118° 30°27' -19' 119° 29°58' -20' 119° 29°28' -21' 120° 28°58' -22' 120° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

55° 305° LHA Latitude CONTRARY to DECLINATION 55° 305° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

56° 304° LHA Latitude CONTRARY to Declination 56° 304° LHA

56° 304° LHA Latitude CONTRARY to DECLINATION 56° 304° LHA

55° 305° LHA Latitude CONTRARY to Declination 55° 305° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 66: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 36°00' 00' 90° 36°00' -02' 91° 35°58' -03' 91° 35°57' -04' 92° 35°54' -06' 93° 35°51' -07' 94° 35°46' -08' 94° 0

1 36°00' -01' 91° 35°58' -02' 92° 35°56' -04' 93° 35°52' -05' 93° 35°48' -06' 94° 35°44' -08' 95° 35°38' -09' 96° 1

2 35°58' -02' 92° 35°56' -03' 93° 35°52' -04' 94° 35°47' -06' 95° 35°42' -07' 95° 35°36' -08' 96° 35°29' -10' 97° 2

3 35°57' -03' 94° 35°52' -04' 94° 35°47' -05' 95° 35°42' -07' 96° 35°35' -08' 97° 35°28' -09' 97° 35°20' -10' 98° 3

4 35°54' -03' 95° 35°48' -05' 96° 35°42' -06' 96° 35°35' -07' 97° 35°27' -09' 98° 35°19' -10' 98° 35°10' -11' 99° 4

5 35°51' -04' 96° 35°44' -05' 97° 35°36' -07' 98° 35°28' -08' 98° 35°19' -09' 99° 35°09' -10' 100° 34°59' -12' 100° 5

6 35°46' -05' 97° 35°38' -06' 98° 35°29' -07' 99° 35°20' -09' 100° 35°10' -10' 100° 34°59' -11' 101° 34°47' -12' 102° 6

7 35°41' -06' 99° 35°32' -07' 99° 35°22' -08' 100° 35°11' -09' 101° 35°00' -11' 101° 34°47' -12' 102° 34°34' -13' 103° 7

8 35°36' -06' 100° 35°25' -08' 101° 35°14' -09' 101° 35°02' -10' 102° 34°49' -11' 103° 34°35' -13' 103° 34°21' -14' 104° 8

9 35°29' -07' 101° 35°17' -08' 102° 35°05' -10' 102° 34°52' -11' 103° 34°38' -12' 104° 34°23' -13' 104° 34°08' -14' 105° 9

10 35°22' -08' 102° 35°09' -09' 103° 34°55' -10' 104° 34°41' -12' 104° 34°26' -13' 105° 34°10' -14' 106° 33°53' -15' 106° 10

11 35°14' -09' 104° 35°00' -10' 104° 34°45' -11' 105° 34°29' -12' 106° 34°13' -13' 106° 33°56' -15' 107° 33°38' -16' 107° 11

12 35°06' -09' 105° 34°50' -11' 105° 34°34' -12' 106° 34°17' -13' 107° 33°59' -14' 107° 33°41' -15' 108° 33°22' -16' 109° 12

13 34°56' -10' 106° 34°40' -11' 107° 34°22' -12' 107° 34°04' -14' 108° 33°45' -15' 109° 33°26' -16' 109° 33°06' -17' 110° 13

14 34°46' -11' 107° 34°28' -12' 108° 34°10' -13' 108° 33°50' -14' 109° 33°31' -15' 110° 33°10' -17' 110° 32°49' -18' 111° 14

15 34°36' -11' 108° 34°16' -13' 109° 33°57' -14' 110° 33°36' -15' 110° 33°15' -16' 111° 32°53' -17' 111° 32°31' -18' 112° 15

16 34°24' -12' 110° 34°04' -13' 110° 33°43' -14' 111° 33°21' -16' 111° 32°59' -17' 112° 32°36' -18' 113° 32°13' -19' 113° 16

17 34°12' -13' 111° 33°51' -14' 111° 33°28' -15' 112° 33°06' -16' 113° 32°42' -17' 113° 32°19' -18' 114° 31°54' -19' 114° 17

18 33°59' -13' 112° 33°37' -15' 113° 33°13' -16' 113° 32°50' -17' 114° 32°25' -18' 114° 32°00' -19' 115° 31°35' -20' 115° 18

19 33°46' -14' 113° 33°22' -15' 114° 32°58' -16' 114° 32°33' -17' 115° 32°07' -18' 115° 31°41' -20' 116° 31°15' -21' 117° 19

20 33°32' -15' 114° 33°07' -16' 115° 32°41' -17' 115° 32°15' -18' 116° 31°49' -19' 117° 31°22' -20' 117° 30°54' -21' 118° 20

21 33°17' -15' 115° 32°51' -17' 116° 32°24' -18' 117° 31°57' -19' 117° 31°30' -20' 118° 31°02' -21' 118° 30°33' -22' 119° 21

22 33°01' -16' 117° 32°34' -17' 117° 32°07' -18' 118° 31°39' -19' 118° 31°10' -20' 119° 30°41' -21' 119° 30°11' -22' 120° 22

23 32°45' -17' 118° 32°17' -18' 118° 31°49' -19' 119° 31°19' -20' 119° 30°50' -21' 120° 30°20' -22' 120° 29°49' -23' 121° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 37°00' 00' 90° 37°00' -02' 91° 36°58' -03' 92° 36°56' -04' 92° 36°54' -06' 93° 36°50' -07' 94° 36°46' -08' 95° 0

1 37°00' -01' 91° 36°58' -02' 92° 36°55' -04' 93° 36°52' -05' 94° 36°48' -06' 94° 36°43' -08' 95° 36°38' -09' 96° 1

2 36°58' -02' 93° 36°55' -03' 93° 36°52' -05' 94° 36°47' -06' 95° 36°42' -07' 95° 36°36' -08' 96° 36°29' -10' 97° 2

3 36°56' -03' 94° 36°52' -04' 95° 36°47' -05' 95° 36°41' -07' 96° 36°35' -08' 97° 36°27' -09' 97° 36°19' -10' 98° 3

4 36°54' -04' 95° 36°48' -05' 96° 36°42' -06' 96° 36°35' -07' 97° 36°27' -09' 98° 36°18' -10' 99° 36°08' -11' 99° 4

5 36°50' -04' 96° 36°43' -06' 97° 36°36' -07' 98° 36°27' -08' 98° 36°18' -09' 99° 36°08' -11' 100° 35°57' -12' 101° 5

6 36°46' -05' 97° 36°38' -06' 98° 36°29' -08' 99° 36°19' -09' 100° 36°08' -10' 100° 35°57' -11' 101° 35°45' -13' 102° 6

7 36°41' -06' 99° 36°31' -07' 99° 36°21' -08' 100° 36°10' -10' 101° 35°58' -11' 102° 35°46' -12' 102° 35°33' -13' 103° 7

8 36°35' -07' 100° 36°24' -08' 101° 36°13' -09' 101° 36°00' -10' 102° 35°47' -12' 103° 35°34' -13' 104° 35°19' -14' 104° 8

9 36°28' -07' 101° 36°16' -09' 102° 36°03' -10' 103° 35°50' -11' 103° 35°36' -12' 104° 35°21' -14' 105° 35°05' -15' 105° 9

10 36°21' -08' 102° 36°08' -09' 103° 35°53' -11' 104° 35°39' -12' 105° 35°23' -13' 105° 35°07' -14' 106° 34°50' -15' 107° 10

11 36°13' -09' 104° 35°58' -10' 104° 35°43' -11' 105° 35°27' -13' 106° 35°10' -14' 106° 34°53' -15' 107° 34°35' -16' 108° 11

12 36°04' -10' 105° 35°48' -11' 106° 35°31' -12' 106° 35°14' -13' 107° 34°56' -14' 108° 34°38' -16' 108° 34°19' -17' 109° 12

13 35°54' -10' 106° 35°37' -12' 107° 35°19' -13' 107° 35°01' -14' 108° 34°42' -15' 109° 34°22' -16' 109° 34°02' -17' 110° 13

14 35°44' -11' 107° 35°25' -12' 108° 35°07' -14' 109° 34°47' -15' 109° 34°27' -16' 110° 34°06' -17' 111° 33°45' -18' 111° 14

15 35°33' -12' 109° 35°13' -13' 109° 34°53' -14' 110° 34°32' -15' 111° 34°11' -16' 111° 33°49' -18' 112° 33°26' -19' 112° 15

16 35°21' -13' 110° 35°00' -14' 110° 34°39' -15' 111° 34°17' -16' 112° 33°54' -17' 112° 33°31' -18' 113° 33°08' -19' 114° 16

17 35°08' -13' 111° 34°46' -14' 112° 34°24' -16' 112° 34°01' -17' 113° 33°37' -18' 113° 33°13' -19' 114° 32°48' -20' 115° 17

18 34°55' -14' 112° 34°32' -15' 113° 34°08' -16' 113° 33°44' -17' 114° 33°20' -18' 115° 32°54' -19' 115° 32°28' -21' 116° 18

19 34°41' -15' 113° 34°17' -16' 114° 33°52' -17' 115° 33°27' -18' 115° 33°01' -19' 116° 32°35' -20' 116° 32°08' -21' 117° 19

20 34°26' -15' 115° 34°01' -16' 115° 33°35' -17' 116° 33°09' -19' 116° 32°42' -20' 117° 32°15' -21' 117° 31°47' -22' 118° 20

21 34°11' -16' 116° 33°45' -17' 116° 33°18' -18' 117° 32°50' -19' 117° 32°23' -20' 118° 31°54' -21' 119° 31°25' -22' 119° 21

22 33°55' -17' 117° 33°28' -18' 117° 33°00' -19' 118° 32°31' -20' 119° 32°02' -21' 119° 31°33' -22' 120° 31°03' -23' 120° 22

23 33°38' -17' 118° 33°10' -18' 119° 32°41' -19' 119° 32°12' -20' 120° 31°42' -21' 120° 31°11' -22' 121° 30°40' -23' 121° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

54° 306° LHA Latitude CONTRARY to Declination 54° 306° LHA

54° 306° LHA Latitude CONTRARY to DECLINATION 54° 306° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

53° 307° LHA Latitude CONTRARY to Declination 53° 307° LHA

53° 307° LHA Latitude CONTRARY to DECLINATION 53° 307° LHA

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Page 67: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 38°00' 00' 90° 38°00' -02' 91° 37°58' -03' 92° 37°56' -04' 92° 37°53' -06' 93° 37°50' -07' 94° 37°45' -08' 95° 0

1 38°00' -01' 91° 37°58' -03' 92° 37°55' -04' 93° 37°52' -05' 94° 37°48' -07' 94° 37°43' -08' 95° 37°37' -09' 96° 1

2 37°58' -02' 93° 37°55' -03' 93° 37°51' -05' 94° 37°47' -06' 95° 37°41' -07' 96° 37°35' -09' 96° 37°28' -10' 97° 2

3 37°56' -03' 94° 37°52' -04' 95° 37°47' -05' 95° 37°41' -07' 96° 37°34' -08' 97° 37°26' -09' 98° 37°18' -11' 98° 3

4 37°53' -04' 95° 37°48' -05' 96° 37°41' -06' 97° 37°34' -08' 97° 37°26' -09' 98° 37°17' -10' 99° 37°07' -11' 100° 4

5 37°50' -04' 96° 37°43' -06' 97° 37°35' -07' 98° 37°26' -08' 99° 37°17' -10' 99° 37°07' -11' 100° 36°56' -12' 101° 5

6 37°45' -05' 98° 37°37' -07' 98° 37°28' -08' 99° 37°18' -09' 100° 37°07' -10' 101° 36°56' -12' 101° 36°44' -13' 102° 6

7 37°40' -06' 99° 37°30' -07' 100° 37°20' -09' 100° 37°09' -10' 101° 36°57' -11' 102° 36°44' -12' 103° 36°31' -14' 103° 7

8 37°34' -07' 100° 37°23' -08' 101° 37°11' -09' 102° 36°59' -11' 102° 36°46' -12' 103° 36°32' -13' 104° 36°17' -14' 105° 8

9 37°27' -08' 101° 37°15' -09' 102° 37°02' -10' 103° 36°48' -11' 104° 36°34' -13' 104° 36°19' -14' 105° 36°03' -15' 106° 9

10 37°19' -08' 103° 37°06' -10' 103° 36°52' -11' 104° 36°37' -12' 105° 36°21' -13' 106° 36°05' -15' 106° 35°47' -16' 107° 10

11 37°11' -09' 104° 36°56' -10' 105° 36°41' -12' 105° 36°24' -13' 106° 36°08' -14' 107° 35°50' -15' 107° 35°32' -17' 108° 11

12 37°02' -10' 105° 36°46' -11' 106° 36°29' -12' 107° 36°12' -14' 107° 35°53' -15' 108° 35°35' -16' 109° 35°15' -17' 109° 12

13 36°52' -11' 106° 36°34' -12' 107° 36°17' -13' 108° 35°58' -14' 108° 35°39' -16' 109° 35°19' -17' 110° 34°58' -18' 110° 13

14 36°41' -12' 108° 36°22' -13' 108° 36°03' -14' 109° 35°43' -15' 110° 35°23' -16' 110° 35°02' -17' 111° 34°40' -19' 112° 14

15 36°29' -12' 109° 36°10' -13' 109° 35°49' -15' 110° 35°28' -16' 111° 35°07' -17' 111° 34°44' -18' 112° 34°22' -19' 113° 15

16 36°17' -13' 110° 35°56' -14' 111° 35°35' -15' 111° 35°13' -16' 112° 34°50' -18' 113° 34°26' -19' 113° 34°02' -20' 114° 16

17 36°04' -14' 111° 35°42' -15' 112° 35°19' -16' 113° 34°56' -17' 113° 34°32' -18' 114° 34°08' -19' 114° 33°43' -20' 115° 17

18 35°50' -14' 112° 35°27' -16' 113° 35°03' -17' 114° 34°39' -18' 114° 34°14' -19' 115° 33°48' -20' 116° 33°22' -21' 116° 18

19 35°36' -15' 114° 35°12' -16' 114° 34°47' -17' 115° 34°21' -18' 116° 33°55' -20' 116° 33°28' -21' 117° 33°01' -22' 117° 19

20 35°21' -16' 115° 34°55' -17' 115° 34°29' -18' 116° 34°03' -19' 117° 33°35' -20' 117° 33°08' -21' 118° 32°39' -22' 118° 20

21 35°05' -17' 116° 34°38' -18' 117° 34°11' -19' 117° 33°44' -20' 118° 33°15' -21' 118° 32°47' -22' 119° 32°17' -23' 120° 21

22 34°48' -17' 117° 34°21' -18' 118° 33°53' -19' 118° 33°24' -20' 119° 32°55' -21' 120° 32°25' -22' 120° 31°54' -23' 121° 22

23 34°31' -18' 118° 34°03' -19' 119° 33°33' -20' 119° 33°04' -21' 120° 32°33' -22' 121° 32°02' -23' 121° 31°31' -24' 122° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 39°00' 00' 90° 39°00' -02' 91° 38°58' -03' 92° 38°56' -04' 92° 38°53' -06' 93° 38°49' -07' 94° 38°45' -08' 95° 0

1 39°00' -01' 91° 38°58' -03' 92° 38°55' -04' 93° 38°52' -05' 94° 38°47' -07' 95° 38°42' -08' 95° 38°36' -09' 96° 1

2 38°58' -02' 93° 38°55' -03' 93° 38°51' -05' 94° 38°46' -06' 95° 38°41' -07' 96° 38°34' -09' 97° 38°27' -10' 97° 2

3 38°56' -03' 94° 38°52' -04' 95° 38°46' -06' 95° 38°40' -07' 96° 38°33' -08' 97° 38°26' -10' 98° 38°17' -11' 99° 3

4 38°53' -04' 95° 38°47' -05' 96° 38°41' -06' 97° 38°33' -08' 98° 38°25' -09' 98° 38°16' -10' 99° 38°06' -12' 100° 4

5 38°49' -05' 96° 38°42' -06' 97° 38°34' -07' 98° 38°26' -09' 99° 38°16' -10' 100° 38°06' -11' 100° 37°54' -12' 101° 5

6 38°45' -05' 98° 38°36' -07' 98° 38°27' -08' 99° 38°17' -09' 100° 38°06' -11' 101° 37°54' -12' 102° 37°42' -13' 102° 6

7 38°39' -06' 99° 38°30' -08' 100° 38°19' -09' 101° 38°08' -10' 101° 37°55' -11' 102° 37°42' -13' 103° 37°29' -14' 104° 7

8 38°33' -07' 100° 38°22' -08' 101° 38°10' -10' 102° 37°57' -11' 103° 37°44' -12' 103° 37°30' -14' 104° 37°15' -15' 105° 8

9 38°26' -08' 102° 38°13' -09' 102° 38°00' -11' 103° 37°46' -12' 104° 37°32' -13' 105° 37°16' -14' 105° 37°00' -15' 106° 9

10 38°18' -09' 103° 38°04' -10' 104° 37°50' -11' 104° 37°35' -13' 105° 37°19' -14' 106° 37°02' -15' 107° 36°45' -16' 107° 10

11 38°09' -10' 104° 37°54' -11' 105° 37°39' -12' 106° 37°22' -13' 106° 37°05' -15' 107° 36°47' -16' 108° 36°28' -17' 108° 11

12 38°00' -10' 105° 37°43' -12' 106° 37°26' -13' 107° 37°09' -14' 108° 36°50' -15' 108° 36°31' -16' 109° 36°11' -18' 110° 12

13 37°49' -11' 107° 37°32' -12' 107° 37°14' -14' 108° 36°55' -15' 109° 36°35' -16' 109° 36°15' -17' 110° 35°54' -18' 111° 13

14 37°38' -12' 108° 37°19' -13' 109° 37°00' -14' 109° 36°40' -16' 110° 36°19' -17' 111° 35°58' -18' 111° 35°35' -19' 112° 14

15 37°26' -13' 109° 37°06' -14' 110° 36°46' -15' 110° 36°24' -16' 111° 36°02' -17' 112° 35°40' -19' 112° 35°16' -20' 113° 15

16 37°13' -13' 110° 36°52' -15' 111° 36°31' -16' 112° 36°08' -17' 112° 35°45' -18' 113° 35°21' -19' 114° 34°57' -20' 114° 16

17 37°00' -14' 111° 36°38' -15' 112° 36°15' -17' 113° 35°51' -18' 114° 35°27' -19' 114° 35°02' -20' 115° 34°37' -21' 115° 17

18 36°46' -15' 113° 36°22' -16' 113° 35°58' -17' 114° 35°33' -18' 115° 35°08' -19' 115° 34°42' -21' 116° 34°16' -22' 117° 18

19 36°31' -16' 114° 36°06' -17' 115° 35°41' -18' 115° 35°15' -19' 116° 34°49' -20' 116° 34°22' -21' 117° 33°54' -22' 118° 19

20 36°15' -16' 115° 35°49' -17' 116° 35°23' -19' 116° 34°56' -20' 117° 34°29' -21' 118° 34°00' -22' 118° 33°32' -23' 119° 20

21 35°59' -17' 116° 35°32' -18' 117° 35°05' -19' 118° 34°36' -20' 118° 34°08' -21' 119° 33°39' -22' 119° 33°09' -23' 120° 21

22 35°42' -18' 117° 35°14' -19' 118° 34°45' -20' 119° 34°16' -21' 119° 33°47' -22' 120° 33°16' -23' 120° 32°46' -24' 121° 22

23 35°24' -18' 119° 34°55' -19' 119° 34°25' -21' 120° 33°55' -22' 120° 33°25' -23' 121° 32°53' -24' 122° 32°22' -24' 122° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

52° 308° LHA Latitude CONTRARY to DECLINATION 52° 308° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

51° 309° LHA Latitude CONTRARY to Declination 51° 309° LHA

51° 309° LHA Latitude CONTRARY to DECLINATION 51° 309° LHA

52° 308° LHA Latitude CONTRARY to Declination 52° 308° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 68: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 40°00' 00' 90° 40°00' -02' 91° 39°58' -03' 92° 39°56' -05' 93° 39°53' -06' 93° 39°49' -07' 94° 39°44' -09' 95° 0

1 40°00' -01' 91° 39°58' -03' 92° 39°55' -04' 93° 39°52' -05' 94° 39°47' -07' 95° 39°42' -08' 95° 39°36' -09' 96° 1

2 39°58' -02' 93° 39°55' -04' 93° 39°51' -05' 94° 39°46' -06' 95° 39°40' -08' 96° 39°34' -09' 97° 39°26' -10' 98° 2

3 39°56' -03' 94° 39°52' -04' 95° 39°46' -06' 96° 39°40' -07' 96° 39°33' -08' 97° 39°25' -10' 98° 39°16' -11' 99° 3

4 39°53' -04' 95° 39°47' -05' 96° 39°40' -07' 97° 39°33' -08' 98° 39°24' -09' 99° 39°15' -11' 99° 39°05' -12' 100° 4

5 39°49' -05' 97° 39°42' -06' 97° 39°34' -07' 98° 39°25' -09' 99° 39°15' -10' 100° 39°04' -11' 101° 38°53' -13' 101° 5

6 39°44' -06' 98° 39°36' -07' 99° 39°26' -08' 99° 39°16' -10' 100° 39°05' -11' 101° 38°53' -12' 102° 38°40' -14' 103° 6

7 39°39' -07' 99° 39°29' -08' 100° 39°18' -09' 101° 39°06' -10' 102° 38°54' -12' 102° 38°41' -13' 103° 38°27' -14' 104° 7

8 39°32' -07' 100° 39°21' -09' 101° 39°09' -10' 102° 38°56' -11' 103° 38°42' -13' 104° 38°28' -14' 104° 38°12' -15' 105° 8

9 39°25' -08' 102° 39°12' -10' 102° 38°59' -11' 103° 38°45' -12' 104° 38°30' -13' 105° 38°14' -15' 106° 37°57' -16' 106° 9

10 39°16' -09' 103° 39°03' -10' 104° 38°48' -12' 105° 38°32' -13' 105° 38°16' -14' 106° 37°59' -15' 107° 37°41' -17' 108° 10

11 39°07' -10' 104° 38°52' -11' 105° 38°36' -12' 106° 38°20' -14' 107° 38°02' -15' 107° 37°44' -16' 108° 37°25' -17' 109° 11

12 38°57' -11' 106° 38°41' -12' 106° 38°24' -13' 107° 38°06' -14' 108° 37°47' -16' 109° 37°28' -17' 109° 37°08' -18' 110° 12

13 38°47' -12' 107° 38°29' -13' 108° 38°11' -14' 108° 37°51' -15' 109° 37°31' -16' 110° 37°11' -18' 110° 36°49' -19' 111° 13

14 38°35' -12' 108° 38°16' -14' 109° 37°57' -15' 110° 37°36' -16' 110° 37°15' -17' 111° 36°53' -18' 112° 36°31' -19' 112° 14

15 38°23' -13' 109° 38°03' -14' 110° 37°42' -16' 111° 37°20' -17' 111° 36°58' -18' 112° 36°35' -19' 113° 36°11' -20' 114° 15

16 38°10' -14' 111° 37°48' -15' 111° 37°26' -16' 112° 37°03' -17' 113° 36°40' -19' 113° 36°16' -20' 114° 35°51' -21' 115° 16

17 37°56' -15' 112° 37°33' -16' 112° 37°10' -17' 113° 36°46' -18' 114° 36°21' -19' 115° 35°56' -20' 115° 35°30' -21' 116° 17

18 37°41' -15' 113° 37°17' -17' 114° 36°53' -18' 114° 36°28' -19' 115° 36°02' -20' 116° 35°36' -21' 116° 35°09' -22' 117° 18

19 37°26' -16' 114° 37°01' -17' 115° 36°35' -18' 116° 36°09' -20' 116° 35°42' -21' 117° 35°15' -22' 118° 34°47' -23' 118° 19

20 37°10' -17' 115° 36°43' -18' 116° 36°17' -19' 117° 35°49' -20' 117° 35°22' -21' 118° 34°53' -22' 119° 34°24' -23' 119° 20

21 36°53' -18' 117° 36°25' -19' 117° 35°58' -20' 118° 35°29' -21' 119° 35°00' -22' 119° 34°31' -23' 120° 34°01' -24' 120° 21

22 36°35' -18' 118° 36°07' -19' 118° 35°38' -20' 119° 35°08' -22' 120° 34°38' -23' 120° 34°08' -24' 121° 33°37' -25' 121° 22

23 36°17' -19' 119° 35°47' -20' 120° 35°17' -21' 120° 34°47' -22' 121° 34°16' -23' 121° 33°44' -24' 122° 33°12' -25' 123° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 41°00' 00' 90° 41°00' -02' 91° 40°58' -03' 92° 40°56' -05' 93° 40°53' -06' 93° 40°49' -07' 94° 40°44' -09' 95° 0

1 41°00' -01' 91° 40°58' -03' 92° 40°55' -04' 93° 40°51' -06' 94° 40°47' -07' 95° 40°41' -08' 96° 40°35' -10' 96° 1

2 40°58' -02' 93° 40°55' -04' 94° 40°51' -05' 94° 40°46' -06' 95° 40°40' -08' 96° 40°33' -09' 97° 40°25' -10' 98° 2

3 40°56' -03' 94° 40°51' -05' 95° 40°46' -06' 96° 40°39' -07' 97° 40°32' -09' 97° 40°24' -10' 98° 40°15' -11' 99° 3

4 40°53' -04' 95° 40°47' -05' 96° 40°40' -07' 97° 40°32' -08' 98° 40°23' -10' 99° 40°14' -11' 100° 40°04' -12' 100° 4

5 40°49' -05' 97° 40°41' -06' 97° 40°33' -08' 98° 40°24' -09' 99° 40°14' -10' 100° 40°03' -12' 101° 39°51' -13' 102° 5

6 40°44' -06' 98° 40°35' -07' 99° 40°25' -09' 100° 40°15' -10' 100° 40°04' -11' 101° 39°51' -13' 102° 39°38' -14' 103° 6

7 40°38' -07' 99° 40°28' -08' 100° 40°17' -09' 101° 40°05' -11' 102° 39°52' -12' 103° 39°39' -13' 103° 39°25' -15' 104° 7

8 40°31' -08' 101° 40°20' -09' 101° 40°07' -10' 102° 39°54' -12' 103° 39°40' -13' 104° 39°26' -14' 105° 39°10' -15' 105° 8

9 40°23' -09' 102° 40°11' -10' 103° 39°57' -11' 103° 39°43' -12' 104° 39°27' -14' 105° 39°11' -15' 106° 38°55' -16' 107° 9

10 40°15' -09' 103° 40°01' -11' 104° 39°46' -12' 105° 39°30' -13' 106° 39°14' -15' 106° 38°56' -16' 107° 38°38' -17' 108° 10

11 40°05' -10' 104° 39°50' -12' 105° 39°34' -13' 106° 39°17' -14' 107° 38°59' -15' 108° 38°41' -17' 108° 38°21' -18' 109° 11

12 39°55' -11' 106° 39°39' -12' 107° 39°21' -14' 107° 39°03' -15' 108° 38°44' -16' 109° 38°24' -17' 110° 38°04' -18' 110° 12

13 39°44' -12' 107° 39°26' -13' 108° 39°07' -14' 109° 38°48' -16' 109° 38°28' -17' 110° 38°07' -18' 111° 37°45' -19' 112° 13

14 39°32' -13' 108° 39°13' -14' 109° 38°53' -15' 110° 38°32' -16' 111° 38°11' -18' 111° 37°49' -19' 112° 37°26' -20' 113° 14

15 39°19' -14' 110° 38°59' -15' 110° 38°38' -16' 111° 38°16' -17' 112° 37°53' -18' 113° 37°30' -20' 113° 37°06' -21' 114° 15

16 39°06' -14' 111° 38°44' -16' 112° 38°22' -17' 112° 37°59' -18' 113° 37°35' -19' 114° 37°10' -20' 114° 36°45' -21' 115° 16

17 38°51' -15' 112° 38°29' -16' 113° 38°05' -18' 114° 37°41' -19' 114° 37°16' -20' 115° 36°50' -21' 116° 36°24' -22' 116° 17

18 38°36' -16' 113° 38°12' -17' 114° 37°47' -18' 115° 37°22' -19' 115° 36°56' -21' 116° 36°29' -22' 117° 36°02' -23' 117° 18

19 38°20' -17' 115° 37°55' -18' 115° 37°29' -19' 116° 37°03' -20' 117° 36°35' -21' 117° 36°08' -22' 118° 35°39' -23' 119° 19

20 38°04' -17' 116° 37°37' -19' 116° 37°10' -20' 117° 36°43' -21' 118° 36°14' -22' 118° 35°45' -23' 119° 35°16' -24' 120° 20

21 37°46' -18' 117° 37°19' -19' 118° 36°50' -20' 118° 36°22' -21' 119° 35°52' -23' 120° 35°22' -24' 120° 34°52' -25' 121° 21

22 37°28' -19' 118° 36°59' -20' 119° 36°30' -21' 119° 36°00' -22' 120° 35°30' -23' 121° 34°59' -24' 121° 34°27' -25' 122° 22

23 37°09' -20' 119° 36°39' -21' 120° 36°09' -22' 121° 35°38' -23' 121° 35°07' -24' 122° 34°35' -25' 122° 34°02' -26' 123° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

49° 311° LHA Latitude CONTRARY to DECLINATION 49° 311° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

50° 310° LHA Latitude CONTRARY to Declination 50° 310° LHA

50° 310° LHA Latitude CONTRARY to DECLINATION 50° 310° LHA

49° 311° LHA Latitude CONTRARY to Declination 49° 311° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 69: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 42°00' 00' 90° 42°00' -02' 91° 41°58' -03' 92° 41°56' -05' 93° 41°52' -06' 94° 41°48' -07' 94° 41°43' -09' 95° 0

1 42°00' -01' 91° 41°58' -03' 92° 41°55' -04' 93° 41°51' -06' 94° 41°46' -07' 95° 41°41' -08' 96° 41°34' -10' 97° 1

2 41°58' -02' 93° 41°55' -04' 94° 41°51' -05' 94° 41°45' -07' 95° 41°39' -08' 96° 41°32' -09' 97° 41°24' -11' 98° 2

3 41°56' -03' 94° 41°51' -05' 95° 41°45' -06' 96° 41°39' -07' 97° 41°31' -09' 98° 41°23' -10' 98° 41°14' -12' 99° 3

4 41°52' -04' 95° 41°46' -06' 96° 41°39' -07' 97° 41°31' -08' 98° 41°23' -10' 99° 41°13' -11' 100° 41°02' -12' 101° 4

5 41°48' -05' 97° 41°41' -07' 98° 41°32' -08' 98° 41°23' -09' 99° 41°13' -11' 100° 41°02' -12' 101° 40°50' -13' 102° 5

6 41°43' -06' 98° 41°34' -07' 99° 41°24' -09' 100° 41°14' -10' 101° 41°02' -12' 102° 40°50' -13' 102° 40°37' -14' 103° 6

7 41°37' -07' 99° 41°27' -08' 100° 41°16' -10' 101° 41°04' -11' 102° 40°51' -12' 103° 40°37' -14' 104° 40°22' -15' 104° 7

8 41°30' -08' 101° 41°18' -09' 102° 41°06' -11' 102° 40°53' -12' 103° 40°38' -13' 104° 40°23' -15' 105° 40°07' -16' 106° 8

9 41°22' -09' 102° 41°09' -10' 103° 40°55' -11' 104° 40°41' -13' 105° 40°25' -14' 105° 40°09' -15' 106° 39°52' -17' 107° 9

10 41°13' -10' 103° 40°59' -11' 104° 40°44' -12' 105° 40°28' -14' 106° 40°11' -15' 107° 39°53' -16' 107° 39°35' -17' 108° 10

11 41°04' -11' 105° 40°48' -12' 105° 40°31' -13' 106° 40°14' -14' 107° 39°56' -16' 108° 39°37' -17' 109° 39°18' -18' 110° 11

12 40°53' -11' 106° 40°36' -13' 107° 40°18' -14' 108° 40°00' -15' 108° 39°40' -17' 109° 39°20' -18' 110° 38°59' -19' 111° 12

13 40°41' -12' 107° 40°23' -14' 108° 40°04' -15' 109° 39°44' -16' 110° 39°24' -17' 110° 39°03' -19' 111° 38°40' -20' 112° 13

14 40°29' -13' 109° 40°10' -14' 109° 39°49' -16' 110° 39°28' -17' 111° 39°07' -18' 112° 38°44' -19' 112° 38°21' -20' 113° 14

15 40°16' -14' 110° 39°55' -15' 111° 39°34' -16' 111° 39°11' -18' 112° 38°48' -19' 113° 38°25' -20' 114° 38°00' -21' 114° 15

16 40°02' -15' 111° 39°40' -16' 112° 39°17' -17' 113° 38°54' -18' 113° 38°30' -20' 114° 38°05' -21' 115° 37°39' -22' 116° 16

17 39°47' -16' 112° 39°24' -17' 113° 39°00' -18' 114° 38°35' -19' 115° 38°10' -20' 115° 37°44' -21' 116° 37°17' -23' 117° 17

18 39°31' -16' 114° 39°07' -18' 114° 38°42' -19' 115° 38°16' -20' 116° 37°50' -21' 117° 37°22' -22' 117° 36°55' -23' 118° 18

19 39°15' -17' 115° 38°49' -18' 116° 38°23' -20' 116° 37°56' -21' 117° 37°29' -22' 118° 37°00' -23' 118° 36°32' -24' 119° 19

20 38°58' -18' 116° 38°31' -19' 117° 38°03' -20' 118° 37°35' -21' 118° 37°07' -22' 119° 36°38' -23' 120° 36°08' -25' 120° 20

21 38°40' -19' 117° 38°12' -20' 118° 37°43' -21' 119° 37°14' -22' 119° 36°44' -23' 120° 36°14' -24' 121° 35°43' -25' 121° 21

22 38°21' -20' 119° 37°52' -21' 119° 37°22' -22' 120° 36°52' -23' 121° 36°21' -24' 121° 35°50' -25' 122° 35°18' -26' 122° 22

23 38°01' -20' 120° 37°31' -21' 120° 37°00' -22' 121° 36°29' -23' 122° 35°57' -24' 122° 35°25' -25' 123° 34°52' -26' 124° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 43°00' 00' 90° 43°00' -02' 91° 42°58' -03' 92° 42°56' -05' 93° 42°52' -06' 94° 42°48' -08' 95° 42°42' -09' 96° 0

1 43°00' -01' 91° 42°58' -03' 92° 42°55' -04' 93° 42°51' -06' 94° 42°46' -07' 95° 42°40' -09' 96° 42°33' -10' 97° 1

2 42°58' -02' 93° 42°55' -04' 94° 42°50' -05' 95° 42°45' -07' 96° 42°39' -08' 96° 42°32' -09' 97° 42°24' -11' 98° 2

3 42°56' -03' 94° 42°51' -05' 95° 42°45' -06' 96° 42°38' -08' 97° 42°31' -09' 98° 42°22' -10' 99° 42°13' -12' 100° 3

4 42°52' -04' 95° 42°46' -06' 96° 42°39' -07' 97° 42°31' -09' 98° 42°22' -10' 99° 42°12' -11' 100° 42°01' -13' 101° 4

5 42°48' -05' 97° 42°40' -07' 98° 42°32' -08' 99° 42°22' -10' 100° 42°12' -11' 100° 42°00' -12' 101° 41°48' -14' 102° 5

6 42°42' -06' 98° 42°33' -08' 99° 42°24' -09' 100° 42°13' -10' 101° 42°01' -12' 102° 41°48' -13' 103° 41°35' -14' 104° 6

7 42°36' -07' 100° 42°26' -09' 100° 42°14' -10' 101° 42°02' -11' 102° 41°49' -13' 103° 41°35' -14' 104° 41°20' -15' 105° 7

8 42°29' -08' 101° 42°17' -10' 102° 42°04' -11' 103° 41°51' -12' 104° 41°36' -14' 104° 41°21' -15' 105° 41°05' -16' 106° 8

9 42°21' -09' 102° 42°08' -10' 103° 41°54' -12' 104° 41°39' -13' 105° 41°23' -14' 106° 41°06' -16' 107° 40°49' -17' 107° 9

10 42°12' -10' 104° 41°57' -11' 104° 41°42' -13' 105° 41°25' -14' 106° 41°08' -15' 107° 40°50' -17' 108° 40°32' -18' 109° 10

11 42°02' -11' 105° 41°46' -12' 106° 41°29' -14' 107° 41°11' -15' 107° 40°53' -16' 108° 40°34' -17' 109° 40°14' -19' 110° 11

12 41°51' -12' 106° 41°33' -13' 107° 41°15' -14' 108° 40°57' -16' 109° 40°37' -17' 110° 40°16' -18' 110° 39°55' -19' 111° 12

13 41°39' -13' 108° 41°20' -14' 108° 41°01' -15' 109° 40°41' -17' 110° 40°20' -18' 111° 39°58' -19' 112° 39°36' -20' 112° 13

14 41°26' -14' 109° 41°06' -15' 110° 40°46' -16' 110° 40°24' -17' 111° 40°02' -19' 112° 39°39' -20' 113° 39°16' -21' 114° 14

15 41°12' -15' 110° 40°51' -16' 111° 40°29' -17' 112° 40°07' -18' 113° 39°43' -19' 113° 39°19' -21' 114° 38°55' -22' 115° 15

16 40°58' -15' 111° 40°36' -17' 112° 40°12' -18' 113° 39°49' -19' 114° 39°24' -20' 115° 38°59' -21' 115° 38°33' -22' 116° 16

17 40°42' -16' 113° 40°19' -17' 113° 39°55' -19' 114° 39°30' -20' 115° 39°04' -21' 116° 38°38' -22' 116° 38°10' -23' 117° 17

18 40°26' -17' 114° 40°02' -18' 115° 39°36' -19' 115° 39°10' -21' 116° 38°43' -22' 117° 38°16' -23' 118° 37°47' -24' 118° 18

19 40°09' -18' 115° 39°43' -19' 116° 39°17' -20' 117° 38°49' -21' 117° 38°21' -22' 118° 37°53' -23' 119° 37°24' -24' 119° 19

20 39°51' -19' 116° 39°24' -20' 117° 38°57' -21' 118° 38°28' -22' 119° 37°59' -23' 119° 37°29' -24' 120° 36°59' -25' 121° 20

21 39°33' -19' 118° 39°05' -21' 118° 38°36' -22' 119° 38°06' -23' 120° 37°36' -24' 120° 37°05' -25' 121° 36°34' -26' 122° 21

22 39°13' -20' 119° 38°44' -21' 120° 38°14' -22' 120° 37°43' -23' 121° 37°12' -24' 122° 36°41' -25' 122° 36°08' -26' 123° 22

23 38°53' -21' 120° 38°23' -22' 121° 37°52' -23' 121° 37°20' -24' 122° 36°48' -25' 123° 36°15' -26' 123° 35°42' -27' 124° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

48° 312° LHA Latitude CONTRARY to Declination 48° 312° LHA

48° 312° LHA Latitude CONTRARY to DECLINATION 48° 312° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

47° 313° LHA Latitude CONTRARY to Declination 47° 313° LHA

47° 313° LHA Latitude CONTRARY to DECLINATION 47° 313° LHA

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Page 70: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 44°00' -01' 90° 43°59' -02' 91° 43°58' -03' 92° 43°55' -05' 93° 43°52' -06' 94° 43°47' -08' 95° 43°42' -09' 96° 0

1 43°59' -02' 91° 43°58' -03' 92° 43°55' -04' 93° 43°51' -06' 94° 43°46' -07' 95° 43°40' -09' 96° 43°33' -10' 97° 1

2 43°58' -03' 93° 43°55' -04' 94° 43°50' -05' 95° 43°45' -07' 96° 43°38' -08' 97° 43°31' -10' 98° 43°23' -11' 98° 2

3 43°55' -04' 94° 43°51' -05' 95° 43°45' -06' 96° 43°38' -08' 97° 43°30' -09' 98° 43°21' -11' 99° 43°11' -12' 100° 3

4 43°52' -05' 96° 43°46' -06' 97° 43°38' -07' 97° 43°30' -09' 98° 43°21' -10' 99° 43°11' -12' 100° 42°59' -13' 101° 4

5 43°47' -06' 97° 43°40' -07' 98° 43°31' -08' 99° 43°21' -10' 100° 43°11' -11' 101° 42°59' -13' 102° 42°46' -14' 103° 5

6 43°42' -07' 98° 43°33' -08' 99° 43°23' -09' 100° 43°11' -11' 101° 42°59' -12' 102° 42°46' -13' 103° 42°33' -15' 104° 6

7 43°35' -08' 100° 43°25' -09' 101° 43°13' -10' 102° 43°01' -12' 102° 42°47' -13' 103° 42°33' -14' 104° 42°18' -16' 105° 7

8 43°28' -08' 101° 43°16' -10' 102° 43°03' -11' 103° 42°49' -13' 104° 42°34' -14' 105° 42°19' -15' 106° 42°02' -17' 106° 8

9 43°19' -09' 102° 43°06' -11' 103° 42°52' -12' 104° 42°36' -14' 105° 42°20' -15' 106° 42°03' -16' 107° 41°46' -17' 108° 9

10 43°10' -10' 104° 42°55' -12' 105° 42°40' -13' 106° 42°23' -14' 106° 42°06' -16' 107° 41°47' -17' 108° 41°28' -18' 109° 10

11 43°00' -11' 105° 42°43' -13' 106° 42°26' -14' 107° 42°09' -15' 108° 41°50' -17' 109° 41°30' -18' 109° 41°10' -19' 110° 11

12 42°48' -12' 106° 42°31' -14' 107° 42°12' -15' 108° 41°53' -16' 109° 41°33' -17' 110° 41°12' -19' 111° 40°51' -20' 112° 12

13 42°36' -13' 108° 42°17' -14' 109° 41°58' -16' 110° 41°37' -17' 110° 41°16' -18' 111° 40°54' -20' 112° 40°31' -21' 113° 13

14 42°23' -14' 109° 42°03' -15' 110° 41°42' -17' 111° 41°20' -18' 112° 40°57' -19' 112° 40°34' -20' 113° 40°10' -21' 114° 14

15 42°09' -15' 110° 41°47' -16' 111° 41°25' -17' 112° 41°02' -19' 113° 40°38' -20' 114° 40°14' -21' 114° 39°49' -22' 115° 15

16 41°54' -16' 112° 41°31' -17' 113° 41°08' -18' 113° 40°43' -20' 114° 40°18' -21' 115° 39°53' -22' 116° 39°26' -23' 116° 16

17 41°38' -17' 113° 41°14' -18' 114° 40°49' -19' 115° 40°24' -20' 115° 39°58' -21' 116° 39°31' -23' 117° 39°03' -24' 118° 17

18 41°21' -18' 114° 40°56' -19' 115° 40°30' -20' 116° 40°04' -21' 117° 39°36' -22' 117° 39°08' -23' 118° 38°40' -24' 119° 18

19 41°03' -18' 116° 40°37' -20' 116° 40°10' -21' 117° 39°42' -22' 118° 39°14' -23' 119° 38°45' -24' 119° 38°15' -25' 120° 19

20 40°45' -19' 117° 40°18' -20' 118° 39°49' -21' 118° 39°21' -23' 119° 38°51' -24' 120° 38°21' -25' 120° 37°50' -26' 121° 20

21 40°26' -20' 118° 39°57' -21' 119° 39°28' -22' 120° 38°58' -23' 120° 38°27' -24' 121° 37°56' -25' 122° 37°25' -26' 122° 21

22 40°06' -21' 119° 39°36' -22' 120° 39°06' -23' 121° 38°35' -24' 121° 38°03' -25' 122° 37°31' -26' 123° 36°58' -27' 123° 22

23 39°45' -22' 121° 39°14' -23' 121° 38°43' -24' 122° 38°11' -25' 123° 37°38' -26' 123° 37°05' -27' 124° 36°31' -28' 125° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 45°00' -01' 90° 44°59' -02' 91° 44°58' -03' 92° 44°55' -05' 93° 44°52' -06' 94° 44°47' -08' 95° 44°41' -09' 96° 0

1 44°59' -02' 91° 44°57' -03' 92° 44°54' -05' 93° 44°50' -06' 94° 44°45' -07' 95° 44°39' -09' 96° 44°32' -10' 97° 1

2 44°58' -03' 93° 44°54' -04' 94° 44°50' -06' 95° 44°44' -07' 96° 44°38' -08' 97° 44°30' -10' 98° 44°22' -11' 99° 2

3 44°55' -04' 94° 44°50' -05' 95° 44°44' -07' 96° 44°37' -08' 97° 44°29' -09' 98° 44°20' -11' 99° 44°10' -12' 100° 3

4 44°52' -05' 96° 44°45' -06' 97° 44°38' -08' 98° 44°29' -09' 99° 44°20' -10' 100° 44°09' -12' 101° 43°58' -13' 101° 4

5 44°47' -06' 97° 44°39' -07' 98° 44°30' -09' 99° 44°20' -10' 100° 44°09' -11' 101° 43°58' -13' 102° 43°45' -14' 103° 5

6 44°41' -07' 98° 44°32' -08' 99° 44°22' -10' 100° 44°10' -11' 101° 43°58' -12' 102° 43°45' -14' 103° 43°30' -15' 104° 6

7 44°34' -08' 100° 44°24' -09' 101° 44°12' -11' 102° 43°59' -12' 103° 43°46' -13' 104° 43°31' -15' 105° 43°15' -16' 105° 7

8 44°27' -09' 101° 44°15' -10' 102° 44°01' -12' 103° 43°47' -13' 104° 43°32' -14' 105° 43°16' -16' 106° 42°59' -17' 107° 8

9 44°18' -10' 103° 44°04' -11' 104° 43°50' -13' 105° 43°34' -14' 105° 43°18' -15' 106° 43°01' -17' 107° 42°42' -18' 108° 9

10 44°08' -11' 104° 43°53' -12' 105° 43°37' -13' 106° 43°20' -15' 107° 43°03' -16' 108° 42°44' -17' 109° 42°24' -19' 109° 10

11 43°57' -12' 105° 43°41' -13' 106° 43°24' -14' 107° 43°06' -16' 108° 42°46' -17' 109° 42°27' -18' 110° 42°06' -20' 111° 11

12 43°46' -13' 107° 43°28' -14' 108° 43°09' -15' 109° 42°50' -17' 109° 42°29' -18' 110° 42°08' -19' 111° 41°46' -20' 112° 12

13 43°33' -14' 108° 43°14' -15' 109° 42°54' -16' 110° 42°33' -18' 111° 42°12' -19' 112° 41°49' -20' 112° 41°26' -21' 113° 13

14 43°19' -15' 109° 42°59' -16' 110° 42°38' -17' 111° 42°16' -18' 112° 41°53' -20' 113° 41°29' -21' 114° 41°05' -22' 114° 14

15 43°05' -15' 111° 42°43' -17' 112° 42°21' -18' 112° 41°57' -19' 113° 41°33' -20' 114° 41°08' -22' 115° 40°43' -23' 116° 15

16 42°49' -16' 112° 42°26' -18' 113° 42°03' -19' 114° 41°38' -20' 115° 41°13' -21' 115° 40°47' -22' 116° 40°20' -24' 117° 16

17 42°33' -17' 113° 42°09' -19' 114° 41°44' -20' 115° 41°18' -21' 116° 40°51' -22' 117° 40°24' -23' 117° 39°56' -24' 118° 17

18 42°16' -18' 115° 41°50' -19' 115° 41°24' -21' 116° 40°57' -22' 117° 40°29' -23' 118° 40°01' -24' 119° 39°32' -25' 119° 18

19 41°57' -19' 116° 41°31' -20' 117° 41°03' -21' 118° 40°35' -22' 118° 40°07' -24' 119° 39°37' -25' 120° 39°07' -26' 120° 19

20 41°38' -20' 117° 41°11' -21' 118° 40°42' -22' 119° 40°13' -23' 120° 39°43' -24' 120° 39°12' -25' 121° 38°41' -26' 122° 20

21 41°19' -21' 118° 40°50' -22' 119° 40°20' -23' 120° 39°50' -24' 121° 39°19' -25' 121° 38°47' -26' 122° 38°15' -27' 123° 21

22 40°58' -21' 120° 40°28' -23' 120° 39°57' -24' 121° 39°26' -25' 122° 38°54' -26' 123° 38°21' -27' 123° 37°48' -28' 124° 22

23 40°37' -22' 121° 40°05' -23' 122° 39°33' -24' 122° 39°01' -25' 123° 38°28' -26' 124° 37°54' -27' 124° 37°20' -28' 125° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

46° 314° LHA Latitude CONTRARY to DECLINATION 46° 314° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

45° 315° LHA Latitude CONTRARY to Declination 45° 315° LHA

45° 315° LHA Latitude CONTRARY to DECLINATION 45° 315° LHA

46° 314° LHA Latitude CONTRARY to Declination 46° 314° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 71: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 46°00' -01' 90° 45°59' -02' 91° 45°58' -04' 92° 45°55' -05' 93° 45°51' -07' 94° 45°46' -08' 95° 45°41' -09' 96° 0

1 45°59' -02' 91° 45°57' -03' 92° 45°54' -05' 94° 45°50' -06' 95° 45°45' -08' 96° 45°38' -09' 97° 45°31' -11' 98° 1

2 45°58' -03' 93° 45°54' -04' 94° 45°50' -06' 95° 45°44' -07' 96° 45°37' -09' 97° 45°29' -10' 98° 45°21' -12' 99° 2

3 45°55' -04' 94° 45°50' -05' 95° 45°44' -07' 96° 45°37' -08' 97° 45°29' -10' 98° 45°19' -11' 99° 45°09' -13' 100° 3

4 45°51' -05' 96° 45°45' -06' 97° 45°37' -08' 98° 45°29' -09' 99° 45°19' -11' 100° 45°08' -12' 101° 44°56' -14' 102° 4

5 45°46' -06' 97° 45°38' -07' 98° 45°29' -09' 99° 45°19' -10' 100° 45°08' -12' 101° 44°56' -13' 102° 44°43' -15' 103° 5

6 45°41' -07' 99° 45°31' -08' 100° 45°21' -10' 101° 45°09' -11' 102° 44°56' -13' 103° 44°43' -14' 104° 44°28' -16' 105° 6

7 45°34' -08' 100° 45°23' -09' 101° 45°11' -11' 102° 44°58' -12' 103° 44°44' -14' 104° 44°29' -15' 105° 44°13' -16' 106° 7

8 45°26' -09' 101° 45°13' -11' 102° 45°00' -12' 103° 44°45' -13' 104° 44°30' -15' 105° 44°14' -16' 106° 43°56' -17' 107° 8

9 45°16' -10' 103° 45°03' -12' 104° 44°48' -13' 105° 44°32' -14' 106° 44°15' -16' 107° 43°58' -17' 108° 43°39' -18' 109° 9

10 45°06' -11' 104° 44°51' -13' 105° 44°35' -14' 106° 44°18' -15' 107° 44°00' -17' 108° 43°41' -18' 109° 43°21' -19' 110° 10

11 44°55' -12' 106° 44°39' -14' 107° 44°21' -15' 108° 44°02' -16' 108° 43°43' -18' 109° 43°23' -19' 110° 43°01' -20' 111° 11

12 44°43' -13' 107° 44°25' -14' 108° 44°06' -16' 109° 43°46' -17' 110° 43°25' -18' 111° 43°04' -20' 112° 42°41' -21' 112° 12

13 44°30' -14' 108° 44°11' -15' 109° 43°50' -17' 110° 43°29' -18' 111° 43°07' -19' 112° 42°44' -21' 113° 42°20' -22' 114° 13

14 44°16' -15' 110° 43°55' -16' 111° 43°34' -18' 112° 43°11' -19' 112° 42°48' -20' 113° 42°24' -21' 114° 41°59' -23' 115° 14

15 44°01' -16' 111° 43°39' -17' 112° 43°16' -19' 113° 42°52' -20' 114° 42°28' -21' 115° 42°02' -22' 115° 41°36' -23' 116° 15

16 43°45' -17' 112° 43°21' -18' 113° 42°57' -19' 114° 42°32' -21' 115° 42°07' -22' 116° 41°40' -23' 117° 41°13' -24' 117° 16

17 43°28' -18' 114° 43°03' -19' 115° 42°38' -20' 115° 42°12' -21' 116° 41°45' -23' 117° 41°17' -24' 118° 40°49' -25' 119° 17

18 43°10' -19' 115° 42°44' -20' 116° 42°18' -21' 117° 41°50' -22' 118° 41°22' -23' 118° 40°53' -25' 119° 40°24' -26' 120° 18

19 42°51' -20' 116° 42°24' -21' 117° 41°56' -22' 118° 41°28' -23' 119° 40°59' -24' 120° 40°29' -25' 120° 39°58' -26' 121° 19

20 42°32' -20' 118° 42°03' -22' 118° 41°35' -23' 119° 41°05' -24' 120° 40°35' -25' 121° 40°04' -26' 121° 39°32' -27' 122° 20

21 42°11' -21' 119° 41°42' -22' 120° 41°12' -24' 120° 40°41' -25' 121° 40°10' -26' 122° 39°38' -27' 123° 39°05' -28' 123° 21

22 41°50' -22' 120° 41°19' -23' 121° 40°48' -24' 122° 40°16' -25' 122° 39°44' -26' 123° 39°11' -27' 124° 38°37' -28' 124° 22

23 41°28' -23' 121° 40°56' -24' 122° 40°24' -25' 123° 39°51' -26' 124° 39°18' -27' 124° 38°43' -28' 125° 38°09' -29' 126° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 47°00' -01' 90° 46°59' -02' 91° 46°58' -04' 92° 46°55' -05' 93° 46°51' -07' 94° 46°46' -08' 95° 46°40' -10' 96° 0

1 46°59' -02' 91° 46°57' -03' 93° 46°54' -05' 94° 46°50' -06' 95° 46°44' -08' 96° 46°38' -09' 97° 46°30' -11' 98° 1

2 46°58' -03' 93° 46°54' -04' 94° 46°49' -06' 95° 46°44' -07' 96° 46°37' -09' 97° 46°29' -10' 98° 46°19' -12' 99° 2

3 46°55' -04' 94° 46°50' -05' 95° 46°44' -07' 97° 46°36' -08' 98° 46°28' -10' 99° 46°18' -11' 100° 46°08' -13' 101° 3

4 46°51' -05' 96° 46°44' -07' 97° 46°37' -08' 98° 46°28' -10' 99° 46°18' -11' 100° 46°07' -12' 101° 45°55' -14' 102° 4

5 46°46' -06' 97° 46°38' -08' 98° 46°29' -09' 99° 46°18' -11' 100° 46°07' -12' 101° 45°54' -13' 102° 45°41' -15' 103° 5

6 46°40' -07' 99° 46°30' -09' 100° 46°19' -10' 101° 46°08' -12' 102° 45°55' -13' 103° 45°41' -14' 104° 45°26' -16' 105° 6

7 46°33' -08' 100° 46°21' -10' 101° 46°09' -11' 102° 45°56' -13' 103° 45°42' -14' 104° 45°26' -15' 105° 45°10' -17' 106° 7

8 46°24' -09' 102° 46°12' -11' 103° 45°58' -12' 104° 45°43' -14' 105° 45°28' -15' 106° 45°11' -16' 107° 44°53' -18' 108° 8

9 46°15' -10' 103° 46°01' -12' 104° 45°46' -13' 105° 45°30' -15' 106° 45°13' -16' 107° 44°54' -17' 108° 44°35' -19' 109° 9

10 46°04' -12' 104° 45°49' -13' 105° 45°32' -14' 106° 45°15' -16' 107° 44°56' -17' 108° 44°37' -18' 109° 44°17' -20' 110° 10

11 45°53' -13' 106° 45°36' -14' 107° 45°18' -15' 108° 44°59' -17' 109° 44°39' -18' 110° 44°19' -19' 111° 43°57' -21' 112° 11

12 45°40' -14' 107° 45°22' -15' 108° 45°03' -16' 109° 44°43' -18' 110° 44°21' -19' 111° 43°59' -20' 112° 43°36' -21' 113° 12

13 45°27' -15' 109° 45°07' -16' 110° 44°46' -17' 111° 44°25' -19' 112° 44°03' -20' 112° 43°39' -21' 113° 43°15' -22' 114° 13

14 45°12' -16' 110° 44°51' -17' 111° 44°29' -18' 112° 44°06' -19' 113° 43°43' -21' 114° 43°18' -22' 115° 42°53' -23' 115° 14

15 44°57' -17' 111° 44°34' -18' 112° 44°11' -19' 113° 43°47' -20' 114° 43°22' -22' 115° 42°56' -23' 116° 42°30' -24' 117° 15

16 44°40' -17' 113° 44°17' -19' 114° 43°52' -20' 115° 43°27' -21' 115° 43°00' -22' 116° 42°33' -24' 117° 42°06' -25' 118° 16

17 44°23' -18' 114° 43°58' -20' 115° 43°32' -21' 116° 43°05' -22' 117° 42°38' -23' 118° 42°10' -24' 118° 41°41' -25' 119° 17

18 44°04' -19' 115° 43°38' -21' 116° 43°11' -22' 117° 42°43' -23' 118° 42°15' -24' 119° 41°45' -25' 120° 41°15' -26' 120° 18

19 43°45' -20' 117° 43°18' -21' 118° 42°49' -23' 118° 42°20' -24' 119° 41°51' -25' 120° 41°20' -26' 121° 40°49' -27' 122° 19

20 43°25' -21' 118° 42°56' -22' 119° 42°27' -23' 120° 41°57' -25' 121° 41°26' -26' 121° 40°54' -27' 122° 40°22' -28' 123° 20

21 43°04' -22' 119° 42°34' -23' 120° 42°03' -24' 121° 41°32' -25' 122° 41°00' -26' 122° 40°28' -27' 123° 39°55' -28' 124° 21

22 42°42' -23' 121° 42°11' -24' 121° 41°39' -25' 122° 41°07' -26' 123° 40°34' -27' 124° 40°00' -28' 124° 39°26' -29' 125° 22

23 42°19' -24' 122° 41°47' -25' 123° 41°14' -26' 123° 40°41' -27' 124° 40°07' -28' 125° 39°32' -29' 126° 38°57' -30' 126° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

43° 317° LHA Latitude CONTRARY to DECLINATION 43° 317° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

44° 316° LHA Latitude CONTRARY to Declination 44° 316° LHA

44° 316° LHA Latitude CONTRARY to DECLINATION 44° 316° LHA

43° 317° LHA Latitude CONTRARY to Declination 43° 317° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 72: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 48°00' -01' 90° 47°59' -02' 91° 47°58' -04' 92° 47°55' -05' 93° 47°51' -07' 94° 47°46' -08' 96° 47°39' -10' 97° 0

1 47°59' -02' 91° 47°57' -03' 93° 47°54' -05' 94° 47°50' -06' 95° 47°44' -08' 96° 47°37' -09' 97° 47°29' -11' 98° 1

2 47°58' -03' 93° 47°54' -04' 94° 47°49' -06' 95° 47°43' -08' 96° 47°36' -09' 97° 47°28' -11' 98° 47°18' -12' 100° 2

3 47°55' -04' 94° 47°50' -06' 96° 47°43' -07' 97° 47°36' -09' 98° 47°27' -10' 99° 47°17' -12' 100° 47°06' -13' 101° 3

4 47°51' -05' 96° 47°44' -07' 97° 47°36' -08' 98° 47°27' -10' 99° 47°17' -11' 100° 47°05' -13' 101° 46°53' -14' 102° 4

5 47°46' -06' 97° 47°37' -08' 99° 47°28' -09' 100° 47°17' -11' 101° 47°05' -12' 102° 46°53' -14' 103° 46°39' -15' 104° 5

6 47°39' -07' 99° 47°29' -09' 100° 47°18' -10' 101° 47°06' -12' 102° 46°53' -13' 103° 46°39' -15' 104° 46°24' -16' 105° 6

7 47°32' -09' 100° 47°20' -10' 101° 47°08' -12' 103° 46°54' -13' 104° 46°40' -14' 105° 46°24' -16' 106° 46°07' -17' 107° 7

8 47°23' -10' 102° 47°10' -11' 103° 46°56' -13' 104° 46°41' -14' 105° 46°25' -16' 106° 46°08' -17' 107° 45°50' -18' 108° 8

9 47°13' -11' 103° 46°59' -12' 104° 46°44' -14' 105° 46°27' -15' 106° 46°10' -17' 107° 45°51' -18' 108° 45°32' -19' 109° 9

10 47°03' -12' 105° 46°47' -13' 106° 46°30' -15' 107° 46°12' -16' 108° 45°53' -18' 109° 45°33' -19' 110° 45°13' -20' 111° 10

11 46°51' -13' 106° 46°33' -14' 107° 46°15' -16' 108° 45°56' -17' 109° 45°36' -18' 110° 45°15' -20' 111° 44°52' -21' 112° 11

12 46°38' -14' 108° 46°19' -15' 109° 45°59' -17' 110° 45°39' -18' 111° 45°17' -19' 112° 44°55' -21' 112° 44°31' -22' 113° 12

13 46°24' -15' 109° 46°04' -16' 110° 45°43' -18' 111° 45°21' -19' 112° 44°58' -20' 113° 44°34' -22' 114° 44°09' -23' 115° 13

14 46°09' -16' 110° 45°47' -17' 111° 45°25' -19' 112° 45°02' -20' 113° 44°37' -21' 114° 44°12' -23' 115° 43°47' -24' 116° 14

15 45°53' -17' 112° 45°30' -18' 113° 45°06' -20' 114° 44°42' -21' 115° 44°16' -22' 115° 43°50' -23' 116° 43°23' -25' 117° 15

16 45°35' -18' 113° 45°11' -19' 114° 44°46' -21' 115° 44°21' -22' 116° 43°54' -23' 117° 43°26' -24' 118° 42°58' -25' 118° 16

17 45°17' -19' 115° 44°52' -20' 115° 44°26' -21' 116° 43°59' -23' 117° 43°31' -24' 118° 43°02' -25' 119° 42°33' -26' 120° 17

18 44°58' -20' 116° 44°32' -21' 117° 44°04' -22' 118° 43°36' -24' 119° 43°07' -25' 119° 42°37' -26' 120° 42°07' -27' 121° 18

19 44°38' -21' 117° 44°11' -22' 118° 43°42' -23' 119° 43°13' -24' 120° 42°42' -25' 121° 42°11' -27' 121° 41°40' -28' 122° 19

20 44°18' -22' 119° 43°49' -23' 119° 43°19' -24' 120° 42°48' -25' 121° 42°17' -26' 122° 41°45' -27' 123° 41°12' -28' 123° 20

21 43°56' -23' 120° 43°26' -24' 121° 42°55' -25' 121° 42°23' -26' 122° 41°51' -27' 123° 41°18' -28' 124° 40°44' -29' 124° 21

22 43°33' -23' 121° 43°02' -25' 122° 42°30' -26' 123° 41°57' -27' 123° 41°24' -28' 124° 40°50' -29' 125° 40°15' -30' 126° 22

23 43°10' -24' 122° 42°37' -25' 123° 42°04' -26' 124° 41°30' -27' 125° 40°56' -28' 125° 40°21' -29' 126° 39°45' -30' 127° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 49°00' -01' 90° 48°59' -02' 91° 48°58' -04' 92° 48°55' -05' 93° 48°50' -07' 95° 48°45' -09' 96° 48°38' -10' 97° 0

1 48°59' -02' 92° 48°57' -03' 93° 48°54' -05' 94° 48°49' -07' 95° 48°43' -08' 96° 48°36' -10' 97° 48°28' -11' 98° 1

2 48°58' -03' 93° 48°54' -05' 94° 48°49' -06' 95° 48°43' -08' 96° 48°35' -09' 98° 48°27' -11' 99° 48°17' -12' 100° 2

3 48°55' -04' 95° 48°49' -06' 96° 48°43' -07' 97° 48°35' -09' 98° 48°26' -10' 99° 48°16' -12' 100° 48°05' -13' 101° 3

4 48°50' -05' 96° 48°43' -07' 97° 48°35' -09' 98° 48°26' -10' 99° 48°16' -12' 101° 48°04' -13' 102° 47°51' -15' 103° 4

5 48°45' -07' 98° 48°36' -08' 99° 48°27' -10' 100° 48°16' -11' 101° 48°04' -13' 102° 47°51' -14' 103° 47°37' -16' 104° 5

6 48°38' -08' 99° 48°28' -09' 100° 48°17' -11' 101° 48°05' -12' 102° 47°51' -14' 103° 47°37' -15' 105° 47°21' -17' 106° 6

7 48°31' -09' 101° 48°19' -10' 102° 48°06' -12' 103° 47°52' -13' 104° 47°38' -15' 105° 47°22' -16' 106° 47°04' -18' 107° 7

8 48°22' -10' 102° 48°09' -12' 103° 47°54' -13' 104° 47°39' -14' 105° 47°23' -16' 106° 47°05' -17' 107° 46°47' -19' 108° 8

9 48°12' -11' 104° 47°57' -13' 105° 47°41' -14' 106° 47°25' -16' 107° 47°07' -17' 108° 46°48' -18' 109° 46°28' -20' 110° 9

10 48°01' -12' 105° 47°44' -14' 106° 47°27' -15' 107° 47°09' -17' 108° 46°50' -18' 109° 46°30' -19' 110° 46°08' -21' 111° 10

11 47°48' -13' 107° 47°31' -15' 108° 47°12' -16' 109° 46°52' -18' 110° 46°32' -19' 111° 46°10' -20' 112° 45°48' -22' 113° 11

12 47°35' -14' 108° 47°16' -16' 109° 46°56' -17' 110° 46°35' -19' 111° 46°13' -20' 112° 45°50' -21' 113° 45°26' -23' 114° 12

13 47°20' -16' 109° 47°00' -17' 110° 46°38' -18' 111° 46°16' -20' 112° 45°53' -21' 113° 45°29' -22' 114° 45°03' -23' 115° 13

14 47°05' -17' 111° 46°43' -18' 112° 46°20' -19' 113° 45°56' -21' 114° 45°32' -22' 115° 45°06' -23' 116° 44°40' -24' 116° 14

15 46°48' -18' 112° 46°25' -19' 113° 46°01' -20' 114° 45°36' -22' 115° 45°10' -23' 116° 44°43' -24' 117° 44°16' -25' 118° 15

16 46°30' -19' 114° 46°06' -20' 115° 45°41' -21' 115° 45°14' -22' 116° 44°47' -24' 117° 44°19' -25' 118° 43°51' -26' 119° 16

17 46°12' -20' 115° 45°46' -21' 116° 45°19' -22' 117° 44°52' -23' 118° 44°24' -25' 119° 43°54' -26' 119° 43°25' -27' 120° 17

18 45°52' -21' 116° 45°25' -22' 117° 44°57' -23' 118° 44°29' -24' 119° 43°59' -25' 120° 43°29' -26' 121° 42°58' -28' 121° 18

19 45°32' -22' 118° 45°03' -23' 119° 44°34' -24' 119° 44°04' -25' 120° 43°34' -26' 121° 43°02' -27' 122° 42°30' -28' 123° 19

20 45°10' -22' 119° 44°41' -24' 120° 44°10' -25' 121° 43°39' -26' 122° 43°08' -27' 122° 42°35' -28' 123° 42°02' -29' 124° 20

21 44°48' -23' 120° 44°17' -24' 121° 43°46' -26' 122° 43°13' -27' 123° 42°41' -28' 124° 42°07' -29' 124° 41°33' -30' 125° 21

22 44°24' -24' 122° 43°53' -25' 122° 43°20' -26' 123° 42°47' -27' 124° 42°13' -28' 125° 41°38' -29' 126° 41°03' -30' 126° 22

23 44°00' -25' 123° 43°27' -26' 124° 42°54' -27' 124° 42°19' -28' 125° 41°44' -29' 126° 41°09' -30' 127° 40°33' -31' 127° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

42° 318° LHA Latitude CONTRARY to Declination 42° 318° LHA

42° 318° LHA Latitude CONTRARY to DECLINATION 42° 318° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

41° 319° LHA Latitude CONTRARY to Declination 41° 319° LHA

41° 319° LHA Latitude CONTRARY to DECLINATION 41° 319° LHA

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Page 73: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 50°00' -01' 90° 49°59' -02' 91° 49°58' -04' 92° 49°54' -05' 94° 49°50' -07' 95° 49°44' -09' 96° 49°38' -10' 97° 0

1 49°59' -02' 92° 49°57' -03' 93° 49°54' -05' 94° 49°49' -07' 95° 49°43' -08' 96° 49°36' -10' 97° 49°27' -11' 99° 1

2 49°58' -03' 93° 49°54' -05' 94° 49°49' -06' 95° 49°42' -08' 97° 49°35' -10' 98° 49°26' -11' 99° 49°16' -13' 100° 2

3 49°54' -04' 95° 49°49' -06' 96° 49°42' -08' 97° 49°34' -09' 98° 49°25' -11' 99° 49°15' -12' 100° 49°03' -14' 102° 3

4 49°50' -06' 96° 49°43' -07' 97° 49°35' -09' 99° 49°25' -10' 100° 49°14' -12' 101° 49°03' -13' 102° 48°49' -15' 103° 4

5 49°44' -07' 98° 49°36' -08' 99° 49°26' -10' 100° 49°15' -12' 101° 49°03' -13' 102° 48°49' -15' 103° 48°35' -16' 105° 5

6 49°38' -08' 99° 49°27' -10' 100° 49°16' -11' 102° 49°03' -13' 103° 48°49' -14' 104° 48°35' -16' 105° 48°19' -17' 106° 6

7 49°30' -09' 101° 49°18' -11' 102° 49°05' -12' 103° 48°51' -14' 104° 48°35' -15' 105° 48°19' -17' 106° 48°01' -18' 107° 7

8 49°20' -10' 102° 49°07' -12' 103° 48°52' -13' 105° 48°37' -15' 106° 48°20' -16' 107° 48°02' -18' 108° 47°43' -19' 109° 8

9 49°10' -12' 104° 48°55' -13' 105° 48°39' -15' 106° 48°22' -16' 107° 48°04' -17' 108° 47°44' -19' 109° 47°24' -20' 110° 9

10 48°58' -13' 105° 48°42' -14' 106° 48°24' -16' 108° 48°06' -17' 109° 47°46' -19' 110° 47°26' -20' 111° 47°04' -21' 112° 10

11 48°46' -14' 107° 48°28' -15' 108° 48°09' -17' 109° 47°49' -18' 110° 47°28' -20' 111° 47°06' -21' 112° 46°43' -22' 113° 11

12 48°32' -15' 108° 48°12' -16' 109° 47°52' -18' 110° 47°31' -19' 111° 47°08' -21' 112° 46°45' -22' 113° 46°20' -23' 114° 12

13 48°17' -16' 110° 47°56' -17' 111° 47°34' -19' 112° 47°11' -20' 113° 46°48' -22' 114° 46°23' -23' 115° 45°57' -24' 116° 13

14 48°01' -17' 111° 47°39' -19' 112° 47°15' -20' 113° 46°51' -21' 114° 46°26' -22' 115° 46°00' -24' 116° 45°33' -25' 117° 14

15 47°44' -18' 113° 47°20' -20' 114° 46°55' -21' 115° 46°30' -22' 116° 46°04' -23' 117° 45°36' -25' 117° 45°08' -26' 118° 15

16 47°25' -19' 114° 47°00' -21' 115° 46°35' -22' 116° 46°08' -23' 117° 45°40' -24' 118° 45°12' -25' 119° 44°43' -27' 120° 16

17 47°06' -20' 115° 46°40' -22' 116° 46°13' -23' 117° 45°45' -24' 118° 45°16' -25' 119° 44°46' -26' 120° 44°16' -27' 121° 17

18 46°46' -21' 117° 46°18' -22' 118° 45°50' -24' 119° 45°21' -25' 120° 44°51' -26' 120° 44°20' -27' 121° 43°49' -28' 122° 18

19 46°25' -22' 118° 45°56' -23' 119° 45°26' -25' 120° 44°56' -26' 121° 44°25' -27' 122° 43°53' -28' 123° 43°20' -29' 123° 19

20 46°03' -23' 120° 45°33' -24' 120° 45°02' -25' 121° 44°30' -27' 122° 43°58' -28' 123° 43°25' -29' 124° 42°51' -30' 125° 20

21 45°39' -24' 121° 45°08' -25' 122° 44°36' -26' 123° 44°04' -27' 123° 43°30' -28' 124° 42°56' -29' 125° 42°22' -30' 126° 21

22 45°15' -25' 122° 44°43' -26' 123° 44°10' -27' 124° 43°36' -28' 125° 43°02' -29' 125° 42°27' -30' 126° 41°51' -31' 127° 22

23 44°50' -26' 123° 44°17' -27' 124° 43°43' -28' 125° 43°08' -29' 126° 42°33' -30' 127° 41°57' -31' 127° 41°20' -32' 128° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 51°00' -01' 90° 50°59' -02' 91° 50°57' -04' 92° 50°54' -06' 94° 50°50' -07' 95° 50°44' -09' 96° 50°37' -11' 97° 0

1 50°59' -02' 92° 50°57' -04' 93° 50°53' -05' 94° 50°49' -07' 95° 50°42' -09' 96° 50°35' -10' 98° 50°26' -12' 99° 1

2 50°57' -03' 93° 50°53' -05' 94° 50°48' -07' 96° 50°42' -08' 97° 50°34' -10' 98° 50°25' -11' 99° 50°15' -13' 100° 2

3 50°54' -05' 95° 50°49' -06' 96° 50°42' -08' 97° 50°34' -09' 98° 50°24' -11' 100° 50°14' -13' 101° 50°02' -14' 102° 3

4 50°50' -06' 96° 50°42' -07' 98° 50°34' -09' 99° 50°24' -11' 100° 50°13' -12' 101° 50°01' -14' 102° 49°48' -15' 103° 4

5 50°44' -07' 98° 50°35' -09' 99° 50°25' -10' 100° 50°14' -12' 102° 50°01' -13' 103° 49°47' -15' 104° 49°32' -16' 105° 5

6 50°37' -08' 99° 50°26' -10' 101° 50°15' -11' 102° 50°02' -13' 103° 49°48' -15' 104° 49°32' -16' 105° 49°16' -18' 106° 6

7 50°29' -10' 101° 50°16' -11' 102° 50°03' -13' 103° 49°49' -14' 105° 49°33' -16' 106° 49°16' -17' 107° 48°58' -19' 108° 7

8 50°19' -11' 103° 50°05' -12' 104° 49°50' -14' 105° 49°34' -15' 106° 49°17' -17' 107° 48°59' -18' 108° 48°40' -20' 109° 8

9 50°08' -12' 104° 49°53' -14' 105° 49°37' -15' 106° 49°19' -16' 108° 49°00' -18' 109° 48°41' -19' 110° 48°20' -21' 111° 9

10 49°56' -13' 106° 49°39' -15' 107° 49°22' -16' 108° 49°03' -18' 109° 48°43' -19' 110° 48°21' -20' 111° 47°59' -22' 112° 10

11 49°43' -14' 107° 49°25' -16' 108° 49°05' -17' 109° 48°45' -19' 110° 48°23' -20' 112° 48°01' -21' 113° 47°37' -23' 114° 11

12 49°29' -15' 109° 49°09' -17' 110° 48°48' -18' 111° 48°26' -20' 112° 48°03' -21' 113° 47°40' -22' 114° 47°15' -24' 115° 12

13 49°13' -17' 110° 48°52' -18' 111° 48°30' -19' 112° 48°07' -21' 113° 47°42' -22' 114° 47°17' -23' 115° 46°51' -25' 116° 13

14 48°57' -18' 112° 48°34' -19' 113° 48°10' -20' 114° 47°46' -22' 115° 47°20' -23' 116° 46°54' -24' 117° 46°26' -26' 118° 14

15 48°39' -19' 113° 48°15' -20' 114° 47°50' -21' 115° 47°24' -23' 116° 46°57' -24' 117° 46°29' -25' 118° 46°01' -26' 119° 15

16 48°20' -20' 114° 47°55' -21' 116° 47°28' -22' 116° 47°01' -24' 117° 46°33' -25' 118° 46°04' -26' 119° 45°34' -27' 120° 16

17 48°00' -21' 116° 47°34' -22' 117° 47°06' -23' 118° 46°37' -25' 119° 46°08' -26' 120° 45°38' -27' 121° 45°07' -28' 121° 17

18 47°39' -22' 117° 47°11' -23' 118° 46°43' -24' 119° 46°13' -26' 120° 45°42' -27' 121° 45°11' -28' 122° 44°39' -29' 123° 18

19 47°17' -23' 119° 46°48' -24' 120° 46°18' -25' 121° 45°47' -26' 121° 45°16' -28' 122° 44°43' -29' 123° 44°10' -30' 124° 19

20 46°55' -24' 120° 46°24' -25' 121° 45°53' -26' 122° 45°21' -27' 123° 44°48' -28' 124° 44°15' -29' 124° 43°40' -30' 125° 20

21 46°31' -25' 121° 45°59' -26' 122° 45°27' -27' 123° 44°54' -28' 124° 44°20' -29' 125° 43°45' -30' 126° 43°10' -31' 126° 21

22 46°06' -26' 123° 45°33' -27' 124° 45°00' -28' 124° 44°25' -29' 125° 43°51' -30' 126° 43°15' -31' 127° 42°39' -32' 128° 22

23 45°40' -27' 124° 45°06' -28' 125° 44°32' -29' 126° 43°57' -30' 126° 43°21' -31' 127° 42°44' -32' 128° 42°07' -33' 129° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

40° 320° LHA Latitude CONTRARY to DECLINATION 40° 320° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

39° 321° LHA Latitude CONTRARY to Declination 39° 321° LHA

39° 321° LHA Latitude CONTRARY to DECLINATION 39° 321° LHA

40° 320° LHA Latitude CONTRARY to Declination 40° 320° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 74: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 52°00' -01' 90° 51°59' -02' 91° 51°57' -04' 93° 51°54' -06' 94° 51°49' -07' 95° 51°43' -09' 96° 51°36' -11' 98° 0

1 51°59' -02' 92° 51°57' -04' 93° 51°53' -05' 94° 51°48' -07' 95° 51°42' -09' 97° 51°34' -10' 98° 51°25' -12' 99° 1

2 51°57' -03' 93° 51°53' -05' 95° 51°48' -07' 96° 51°41' -08' 97° 51°33' -10' 98° 51°24' -12' 100° 51°13' -13' 101° 2

3 51°54' -05' 95° 51°48' -06' 96° 51°41' -08' 97° 51°33' -10' 99° 51°23' -11' 100° 51°12' -13' 101° 51°00' -14' 102° 3

4 51°49' -06' 96° 51°42' -08' 98° 51°33' -09' 99° 51°23' -11' 100° 51°12' -13' 101° 50°59' -14' 103° 50°46' -16' 104° 4

5 51°43' -07' 98° 51°34' -09' 99° 51°24' -11' 101° 51°12' -12' 102° 50°59' -14' 103° 50°45' -15' 104° 50°30' -17' 105° 5

6 51°36' -09' 100° 51°25' -10' 101° 51°13' -12' 102° 51°00' -13' 103° 50°46' -15' 105° 50°30' -17' 106° 50°13' -18' 107° 6

7 51°27' -10' 101° 51°15' -11' 103° 51°01' -13' 104° 50°47' -15' 105° 50°31' -16' 106° 50°13' -18' 107° 49°55' -19' 108° 7

8 51°18' -11' 103° 51°04' -13' 104° 50°48' -14' 105° 50°32' -16' 106° 50°14' -17' 108° 49°56' -19' 109° 49°36' -20' 110° 8

9 51°06' -12' 104° 50°51' -14' 106° 50°34' -15' 107° 50°16' -17' 108° 49°57' -18' 109° 49°37' -20' 110° 49°16' -21' 111° 9

10 50°54' -14' 106° 50°37' -15' 107° 50°19' -17' 108° 49°59' -18' 109° 49°39' -20' 111° 49°17' -21' 112° 48°54' -22' 113° 10

11 50°40' -15' 108° 50°22' -16' 109° 50°02' -18' 110° 49°41' -19' 111° 49°19' -21' 112° 48°56' -22' 113° 48°32' -23' 114° 11

12 50°25' -16' 109° 50°05' -17' 110° 49°44' -19' 111° 49°22' -20' 112° 48°58' -22' 113° 48°34' -23' 114° 48°09' -24' 116° 12

13 50°09' -17' 111° 49°48' -19' 112° 49°25' -20' 113° 49°01' -21' 114° 48°37' -23' 115° 48°11' -24' 116° 47°44' -25' 117° 13

14 49°52' -18' 112° 49°29' -20' 113° 49°05' -21' 114° 48°40' -22' 115° 48°14' -24' 116° 47°47' -25' 117° 47°19' -26' 118° 14

15 49°34' -19' 114° 49°10' -21' 115° 48°44' -22' 116° 48°18' -23' 117° 47°50' -25' 118° 47°22' -26' 119° 46°53' -27' 120° 15

16 49°15' -20' 115° 48°49' -22' 116° 48°22' -23' 117° 47°54' -24' 118° 47°26' -26' 119° 46°56' -27' 120° 46°26' -28' 121° 16

17 48°54' -22' 116° 48°27' -23' 117° 47°59' -24' 118° 47°30' -25' 119° 47°00' -27' 120° 46°29' -28' 121° 45°58' -29' 122° 17

18 48°33' -23' 118° 48°04' -24' 119° 47°35' -25' 120° 47°04' -26' 121° 46°33' -27' 122° 46°02' -29' 123° 45°29' -30' 123° 18

19 48°10' -24' 119° 47°40' -25' 120° 47°10' -26' 121° 46°38' -27' 122° 46°06' -28' 123° 45°33' -29' 124° 44°59' -30' 125° 19

20 47°46' -25' 121° 47°15' -26' 122° 46°44' -27' 122° 46°11' -28' 123° 45°38' -29' 124° 45°04' -30' 125° 44°29' -31' 126° 20

21 47°22' -25' 122° 46°50' -27' 123° 46°17' -28' 124° 45°43' -29' 125° 45°09' -30' 125° 44°34' -31' 126° 43°58' -32' 127° 21

22 46°56' -26' 123° 46°23' -28' 124° 45°49' -29' 125° 45°14' -30' 126° 44°39' -31' 127° 44°03' -32' 127° 43°26' -33' 128° 22

23 46°30' -27' 125° 45°56' -28' 125° 45°20' -29' 126° 44°45' -30' 127° 44°08' -31' 128° 43°31' -32' 129° 42°53' -33' 129° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 53°00' -01' 90° 52°59' -02' 91° 52°57' -04' 93° 52°54' -06' 94° 52°49' -08' 95° 52°43' -09' 97° 52°35' -11' 98° 0

1 52°59' -02' 92° 52°57' -04' 93° 52°53' -06' 94° 52°48' -07' 96° 52°41' -09' 97° 52°33' -11' 98° 52°24' -12' 100° 1

2 52°57' -03' 93° 52°53' -05' 95° 52°48' -07' 96° 52°41' -09' 97° 52°32' -10' 99° 52°23' -12' 100° 52°12' -14' 101° 2

3 52°54' -05' 95° 52°48' -07' 96° 52°41' -08' 98° 52°32' -10' 99° 52°22' -12' 100° 52°11' -13' 101° 51°58' -15' 103° 3

4 52°49' -06' 97° 52°41' -08' 98° 52°32' -10' 99° 52°22' -11' 101° 52°10' -13' 102° 51°58' -14' 103° 51°43' -16' 104° 4

5 52°43' -08' 98° 52°33' -09' 100° 52°23' -11' 101° 52°11' -13' 102° 51°58' -14' 103° 51°43' -16' 105° 51°27' -17' 106° 5

6 52°35' -09' 100° 52°24' -11' 101° 52°12' -12' 102° 51°58' -14' 104° 51°43' -15' 105° 51°27' -17' 106° 51°10' -18' 107° 6

7 52°26' -10' 102° 52°14' -12' 103° 52°00' -13' 104° 51°44' -15' 105° 51°28' -17' 106° 51°10' -18' 108° 50°52' -20' 109° 7

8 52°16' -12' 103° 52°02' -13' 104° 51°46' -15' 106° 51°29' -16' 107° 51°11' -18' 108° 50°52' -19' 109° 50°32' -21' 110° 8

9 52°04' -13' 105° 51°49' -14' 106° 51°31' -16' 107° 51°13' -17' 108° 50°54' -19' 110° 50°33' -20' 111° 50°11' -22' 112° 9

10 51°52' -14' 106° 51°34' -16' 108° 51°15' -17' 109° 50°56' -19' 110° 50°35' -20' 111° 50°12' -22' 112° 49°49' -23' 113° 10

11 51°37' -15' 108° 51°18' -17' 109° 50°58' -18' 110° 50°37' -20' 111° 50°14' -21' 113° 49°51' -23' 114° 49°26' -24' 115° 11

12 51°22' -17' 109° 51°02' -18' 111° 50°40' -20' 112° 50°17' -21' 113° 49°53' -22' 114° 49°28' -24' 115° 49°02' -25' 116° 12

13 51°06' -18' 111° 50°44' -19' 112° 50°20' -21' 113° 49°56' -22' 114° 49°31' -23' 115° 49°05' -25' 116° 48°37' -26' 117° 13

14 50°48' -19' 113° 50°24' -20' 114° 50°00' -22' 115° 49°34' -23' 116° 49°08' -24' 117° 48°40' -26' 118° 48°12' -27' 119° 14

15 50°29' -20' 114° 50°04' -21' 115° 49°38' -23' 116° 49°11' -24' 117° 48°43' -25' 118° 48°14' -27' 119° 47°45' -28' 120° 15

16 50°09' -21' 115° 49°43' -23' 117° 49°15' -24' 118° 48°47' -25' 119° 48°18' -26' 120° 47°48' -28' 121° 47°17' -29' 121° 16

17 49°48' -22' 117° 49°20' -24' 118° 48°51' -25' 119° 48°22' -26' 120° 47°51' -27' 121° 47°20' -28' 122° 46°48' -30' 123° 17

18 49°25' -23' 118° 48°56' -25' 119° 48°27' -26' 120° 47°56' -27' 121° 47°24' -28' 122° 46°52' -29' 123° 46°19' -30' 124° 18

19 49°02' -24' 120° 48°32' -26' 121° 48°01' -27' 122° 47°29' -28' 123° 46°56' -29' 124° 46°23' -30' 124° 45°48' -31' 125° 19

20 48°38' -25' 121° 48°06' -26' 122° 47°34' -28' 123° 47°01' -29' 124° 46°27' -30' 125° 45°52' -31' 126° 45°17' -32' 127° 20

21 48°13' -26' 123° 47°40' -27' 123° 47°06' -29' 124° 46°32' -30' 125° 45°57' -31' 126° 45°22' -32' 127° 44°45' -33' 128° 21

22 47°46' -27' 124° 47°13' -28' 125° 46°38' -29' 126° 46°03' -30' 126° 45°27' -31' 127° 44°50' -32' 128° 44°12' -33' 129° 22

23 47°19' -28' 125° 46°44' -29' 126° 46°09' -30' 127° 45°32' -31' 128° 44°55' -32' 129° 44°17' -33' 129° 43°39' -34' 130° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

37° 323° LHA Latitude CONTRARY to DECLINATION 37° 323° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

38° 322° LHA Latitude CONTRARY to Declination 38° 322° LHA

38° 322° LHA Latitude CONTRARY to DECLINATION 38° 322° LHA

37° 323° LHA Latitude CONTRARY to Declination 37° 323° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 75: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 54°00' -01' 90° 53°59' -02' 91° 53°57' -04' 93° 53°54' -06' 94° 53°49' -08' 95° 53°42' -10' 97° 53°34' -11' 98° 0

1 53°59' -02' 92° 53°57' -04' 93° 53°53' -06' 94° 53°47' -07' 96° 53°41' -09' 97° 53°33' -11' 99° 53°23' -13' 100° 1

2 53°57' -04' 93° 53°53' -05' 95° 53°47' -07' 96° 53°40' -09' 97° 53°32' -11' 99° 53°22' -12' 100° 53°10' -14' 101° 2

3 53°54' -05' 95° 53°47' -07' 96° 53°40' -09' 98° 53°31' -10' 99° 53°21' -12' 100° 53°09' -14' 102° 52°56' -15' 103° 3

4 53°49' -06' 97° 53°41' -08' 98° 53°32' -10' 99° 53°21' -12' 101° 53°09' -13' 102° 52°56' -15' 103° 52°41' -17' 105° 4

5 53°42' -08' 98° 53°33' -10' 100° 53°22' -11' 101° 53°09' -13' 102° 52°56' -15' 104° 52°41' -16' 105° 52°25' -18' 106° 5

6 53°34' -09' 100° 53°23' -11' 101° 53°10' -13' 103° 52°56' -14' 104° 52°41' -16' 105° 52°25' -17' 107° 52°07' -19' 108° 6

7 53°25' -11' 102° 53°12' -12' 103° 52°58' -14' 104° 52°42' -16' 106° 52°25' -17' 107° 52°07' -19' 108° 51°48' -20' 109° 7

8 53°14' -12' 103° 53°00' -14' 105° 52°44' -15' 106° 52°27' -17' 107° 52°08' -18' 108° 51°49' -20' 110° 51°28' -21' 111° 8

9 53°02' -13' 105° 52°46' -15' 106° 52°29' -16' 108° 52°10' -18' 109° 51°50' -20' 110° 51°29' -21' 111° 51°06' -22' 112° 9

10 52°49' -15' 107° 52°31' -16' 108° 52°12' -18' 109° 51°52' -19' 110° 51°30' -21' 112° 51°08' -22' 113° 50°44' -24' 114° 10

11 52°35' -16' 108° 52°15' -17' 110° 51°54' -19' 111° 51°33' -20' 112° 51°10' -22' 113° 50°46' -23' 114° 50°20' -25' 115° 11

12 52°19' -17' 110° 51°58' -19' 111° 51°35' -20' 112° 51°12' -22' 113° 50°48' -23' 115° 50°22' -24' 116° 49°56' -26' 117° 12

13 52°02' -18' 111° 51°39' -20' 113° 51°15' -21' 114° 50°51' -23' 115° 50°25' -24' 116° 49°58' -25' 117° 49°30' -27' 118° 13

14 51°43' -20' 113° 51°19' -21' 114° 50°54' -22' 115° 50°28' -24' 116° 50°01' -25' 117° 49°33' -26' 118° 49°04' -28' 119° 14

15 51°24' -21' 115° 50°58' -22' 116° 50°32' -23' 117° 50°04' -25' 118° 49°36' -26' 119° 49°06' -27' 120° 48°36' -29' 121° 15

16 51°03' -22' 116° 50°36' -23' 117° 50°08' -25' 118° 49°39' -26' 119° 49°10' -27' 120° 48°39' -28' 121° 48°08' -29' 122° 16

17 50°41' -23' 117° 50°13' -24' 119° 49°44' -26' 120° 49°14' -27' 121° 48°43' -28' 122° 48°11' -29' 123° 47°38' -30' 123° 17

18 50°18' -24' 119° 49°49' -25' 120° 49°18' -27' 121° 48°47' -28' 122° 48°15' -29' 123° 47°42' -30' 124° 47°08' -31' 125° 18

19 49°54' -25' 120° 49°23' -26' 121° 48°52' -27' 122° 48°19' -29' 123° 47°46' -30' 124° 47°12' -31' 125° 46°37' -32' 126° 19

20 49°29' -26' 122° 48°57' -27' 123° 48°24' -28' 124° 47°50' -30' 125° 47°16' -31' 126° 46°41' -32' 126° 46°05' -33' 127° 20

21 49°03' -27' 123° 48°30' -28' 124° 47°56' -29' 125° 47°21' -30' 126° 46°45' -31' 127° 46°09' -32' 128° 45°32' -33' 128° 21

22 48°36' -28' 125° 48°02' -29' 125° 47°26' -30' 126° 46°51' -31' 127° 46°14' -32' 128° 45°37' -33' 129° 44°59' -34' 130° 22

23 48°08' -29' 126° 47°33' -30' 127° 46°56' -31' 128° 46°19' -32' 128° 45°42' -33' 129° 45°03' -34' 130° 44°25' -35' 131° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 55°00' -01' 90° 54°59' -03' 91° 54°57' -04' 93° 54°53' -06' 94° 54°48' -08' 96° 54°41' -10' 97° 54°33' -12' 98° 0

1 54°59' -02' 92° 54°57' -04' 93° 54°53' -06' 95° 54°47' -08' 96° 54°40' -09' 97° 54°32' -11' 99° 54°22' -13' 100° 1

2 54°57' -04' 93° 54°53' -06' 95° 54°47' -07' 96° 54°39' -09' 98° 54°31' -11' 99° 54°20' -13' 100° 54°09' -14' 102° 2

3 54°53' -05' 95° 54°47' -07' 97° 54°39' -09' 98° 54°30' -11' 99° 54°20' -12' 101° 54°08' -14' 102° 53°55' -16' 104° 3

4 54°48' -07' 97° 54°40' -08' 98° 54°31' -10' 100° 54°20' -12' 101° 54°08' -14' 102° 53°54' -15' 104° 53°39' -17' 105° 4

5 54°41' -08' 99° 54°32' -10' 100° 54°20' -12' 101° 54°08' -13' 103° 53°54' -15' 104° 53°39' -17' 105° 53°22' -18' 107° 5

6 54°33' -10' 100° 54°22' -11' 102° 54°09' -13' 103° 53°55' -15' 104° 53°39' -16' 106° 53°22' -18' 107° 53°04' -20' 108° 6

7 54°24' -11' 102° 54°10' -13' 103° 53°56' -14' 105° 53°40' -16' 106° 53°23' -18' 107° 53°04' -19' 109° 52°44' -21' 110° 7

8 54°13' -12' 104° 53°58' -14' 105° 53°41' -16' 106° 53°24' -17' 108° 53°05' -19' 109° 52°45' -20' 110° 52°23' -22' 111° 8

9 54°00' -14' 105° 53°44' -15' 107° 53°26' -17' 108° 53°06' -19' 109° 52°46' -20' 111° 52°24' -22' 112° 52°02' -23' 113° 9

10 53°47' -15' 107° 53°28' -17' 108° 53°09' -18' 110° 52°48' -20' 111° 52°26' -21' 112° 52°03' -23' 113° 51°38' -24' 114° 10

11 53°31' -16' 109° 53°12' -18' 110° 52°50' -20' 111° 52°28' -21' 112° 52°05' -22' 114° 51°40' -24' 115° 51°14' -25' 116° 11

12 53°15' -18' 110° 52°54' -19' 112° 52°31' -21' 113° 52°07' -22' 114° 51°42' -24' 115° 51°16' -25' 116° 50°49' -26' 117° 12

13 52°57' -19' 112° 52°34' -20' 113° 52°10' -22' 114° 51°45' -23' 115° 51°18' -25' 117° 50°51' -26' 118° 50°23' -27' 119° 13

14 52°38' -20' 113° 52°14' -22' 115° 51°48' -23' 116° 51°22' -24' 117° 50°54' -26' 118° 50°25' -27' 119° 49°55' -28' 120° 14

15 52°18' -21' 115° 51°52' -23' 116° 51°25' -24' 117° 50°57' -26' 118° 50°28' -27' 119° 49°58' -28' 121° 49°27' -29' 122° 15

16 51°57' -23' 117° 51°29' -24' 118° 51°01' -25' 119° 50°32' -27' 120° 50°01' -28' 121° 49°30' -29' 122° 48°58' -30' 123° 16

17 51°34' -24' 118° 51°05' -25' 119° 50°36' -26' 120° 50°05' -28' 121° 49°33' -29' 122° 49°01' -30' 123° 48°28' -31' 124° 17

18 51°10' -25' 120° 50°40' -26' 121° 50°09' -27' 122° 49°37' -28' 123° 49°05' -30' 124° 48°31' -31' 125° 47°57' -32' 125° 18

19 50°46' -26' 121° 50°14' -27' 122° 49°42' -28' 123° 49°09' -29' 124° 48°35' -31' 125° 48°00' -32' 126° 47°25' -33' 127° 19

20 50°20' -27' 122° 49°47' -28' 123° 49°14' -29' 124° 48°40' -30' 125° 48°04' -31' 126° 47°29' -32' 127° 46°52' -33' 128° 20

21 49°53' -28' 124° 49°19' -29' 125° 48°45' -30' 126° 48°09' -31' 127° 47°33' -32' 127° 46°56' -33' 128° 46°19' -34' 129° 21

22 49°25' -29' 125° 48°50' -30' 126° 48°15' -31' 127° 47°38' -32' 128° 47°01' -33' 129° 46°23' -34' 130° 45°44' -35' 130° 22

23 48°56' -30' 127° 48°20' -31' 127° 47°44' -32' 128° 47°06' -33' 129° 46°28' -34' 130° 45°49' -35' 131° 45°10' -36' 132° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

36° 324° LHA Latitude CONTRARY to Declination 36° 324° LHA

36° 324° LHA Latitude CONTRARY to DECLINATION 36° 324° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

35° 325° LHA Latitude CONTRARY to Declination 35° 325° LHA

35° 325° LHA Latitude CONTRARY to DECLINATION 35° 325° LHA

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Page 76: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 56°00' -01' 90° 55°59' -03' 91° 55°57' -05' 93° 55°53' -06' 94° 55°48' -08' 96° 55°41' -10' 97° 55°32' -12' 99° 0

1 55°59' -02' 92° 55°57' -04' 93° 55°52' -06' 95° 55°47' -08' 96° 55°39' -10' 98° 55°31' -11' 99° 55°20' -13' 101° 1

2 55°57' -04' 94° 55°52' -06' 95° 55°46' -08' 97° 55°39' -09' 98° 55°30' -11' 99° 55°19' -13' 101° 55°07' -15' 102° 2

3 55°53' -05' 95° 55°47' -07' 97° 55°39' -09' 98° 55°29' -11' 100° 55°19' -13' 101° 55°06' -14' 103° 54°52' -16' 104° 3

4 55°48' -07' 97° 55°39' -09' 99° 55°30' -11' 100° 55°19' -12' 101° 55°06' -14' 103° 54°52' -16' 104° 54°36' -17' 106° 4

5 55°41' -08' 99° 55°31' -10' 100° 55°19' -12' 102° 55°06' -14' 103° 54°52' -15' 105° 54°36' -17' 106° 54°19' -19' 107° 5

6 55°32' -10' 101° 55°20' -12' 102° 55°07' -13' 103° 54°52' -15' 105° 54°36' -17' 106° 54°19' -18' 108° 54°00' -20' 109° 6

7 55°22' -11' 102° 55°09' -13' 104° 54°54' -15' 105° 54°37' -17' 107° 54°20' -18' 108° 54°01' -20' 109° 53°40' -21' 110° 7

8 55°11' -13' 104° 54°56' -15' 105° 54°39' -16' 107° 54°21' -18' 108° 54°01' -19' 110° 53°41' -21' 111° 53°19' -23' 112° 8

9 54°58' -14' 106° 54°41' -16' 107° 54°23' -18' 109° 54°03' -19' 110° 53°42' -21' 111° 53°20' -22' 112° 52°56' -24' 114° 9

10 54°44' -16' 108° 54°25' -17' 109° 54°05' -19' 110° 53°44' -20' 111° 53°21' -22' 113° 52°58' -23' 114° 52°33' -25' 115° 10

11 54°28' -17' 109° 54°08' -19' 110° 53°46' -20' 112° 53°23' -22' 113° 52°59' -23' 114° 52°34' -25' 115° 52°08' -26' 117° 11

12 54°11' -18' 111° 53°49' -20' 112° 53°26' -21' 113° 53°02' -23' 115° 52°36' -24' 116° 52°10' -26' 117° 51°42' -27' 118° 12

13 53°53' -20' 112° 53°29' -21' 114° 53°05' -23' 115° 52°39' -24' 116° 52°12' -25' 117° 51°44' -27' 118° 51°15' -28' 119° 13

14 53°33' -21' 114° 53°08' -22' 115° 52°42' -24' 116° 52°15' -25' 118° 51°46' -26' 119° 51°17' -28' 120° 50°47' -29' 121° 14

15 53°12' -22' 116° 52°46' -24' 117° 52°18' -25' 118° 51°50' -26' 119° 51°20' -28' 120° 50°49' -29' 121° 50°18' -30' 122° 15

16 52°50' -23' 117° 52°22' -25' 118° 51°53' -26' 119° 51°23' -27' 121° 50°52' -29' 122° 50°21' -30' 123° 49°48' -31' 124° 16

17 52°27' -24' 119° 51°58' -26' 120° 51°27' -27' 121° 50°56' -28' 122° 50°24' -30' 123° 49°51' -31' 124° 49°17' -32' 125° 17

18 52°03' -26' 120° 51°32' -27' 121° 51°00' -28' 122° 50°28' -29' 123° 49°54' -30' 124° 49°20' -32' 125° 48°45' -33' 126° 18

19 51°37' -27' 122° 51°05' -28' 123° 50°32' -29' 124° 49°58' -30' 125° 49°24' -31' 126° 48°49' -32' 127° 48°12' -33' 128° 19

20 51°10' -28' 123° 50°37' -29' 124° 50°03' -30' 125° 49°28' -31' 126° 48°53' -32' 127° 48°16' -33' 128° 47°39' -34' 129° 20

21 50°43' -29' 124° 50°08' -30' 125° 49°33' -31' 126° 48°57' -32' 127° 48°20' -33' 128° 47°43' -34' 129° 47°05' -35' 130° 21

22 50°14' -30' 126° 49°39' -31' 127° 49°02' -32' 128° 48°25' -33' 129° 47°47' -34' 129° 47°09' -35' 130° 46°30' -36' 131° 22

23 49°44' -31' 127° 49°08' -32' 128° 48°30' -33' 129° 47°52' -34' 130° 47°13' -35' 131° 46°34' -36' 132° 45°54' -36' 132° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 57°00' -01' 90° 56°59' -03' 92° 56°57' -05' 93° 56°53' -07' 95° 56°47' -08' 96° 56°40' -10' 98° 56°31' -12' 99° 0

1 56°59' -02' 92° 56°56' -04' 93° 56°52' -06' 95° 56°46' -08' 96° 56°39' -10' 98° 56°30' -12' 99° 56°19' -14' 101° 1

2 56°57' -04' 94° 56°52' -06' 95° 56°46' -08' 97° 56°38' -10' 98° 56°29' -12' 100° 56°18' -13' 101° 56°05' -15' 103° 2

3 56°53' -06' 95° 56°46' -07' 97° 56°38' -09' 99° 56°28' -11' 100° 56°17' -13' 101° 56°05' -15' 103° 55°50' -17' 104° 3

4 56°47' -07' 97° 56°39' -09' 99° 56°29' -11' 100° 56°17' -13' 102° 56°04' -14' 103° 55°50' -16' 105° 55°34' -18' 106° 4

5 56°40' -09' 99° 56°30' -11' 101° 56°18' -12' 102° 56°05' -14' 104° 55°50' -16' 105° 55°34' -18' 106° 55°16' -19' 108° 5

6 56°31' -10' 101° 56°19' -12' 102° 56°05' -14' 104° 55°50' -16' 105° 55°34' -17' 107° 55°16' -19' 108° 54°57' -21' 109° 6

7 56°21' -12' 103° 56°07' -14' 104° 55°52' -15' 106° 55°35' -17' 107° 55°16' -19' 108° 54°57' -20' 110° 54°36' -22' 111° 7

8 56°09' -13' 104° 55°53' -15' 106° 55°36' -17' 107° 55°18' -18' 109° 54°58' -20' 110° 54°37' -22' 111° 54°14' -23' 113° 8

9 55°56' -15' 106° 55°38' -16' 108° 55°19' -18' 109° 54°59' -20' 110° 54°38' -21' 112° 54°15' -23' 113° 53°51' -24' 114° 9

10 55°41' -16' 108° 55°22' -18' 109° 55°01' -19' 111° 54°39' -21' 112° 54°16' -23' 113° 53°52' -24' 115° 53°27' -26' 116° 10

11 55°25' -18' 110° 55°04' -19' 111° 54°42' -21' 112° 54°18' -22' 114° 53°54' -24' 115° 53°28' -25' 116° 53°01' -27' 117° 11

12 55°07' -19' 111° 54°45' -21' 113° 54°21' -22' 114° 53°56' -24' 115° 53°30' -25' 116° 53°03' -26' 118° 52°34' -28' 119° 12

13 54°48' -20' 113° 54°24' -22' 114° 53°59' -23' 116° 53°32' -25' 117° 53°05' -26' 118° 52°36' -27' 119° 52°07' -29' 120° 13

14 54°28' -22' 115° 54°02' -23' 116° 53°36' -25' 117° 53°08' -26' 118° 52°39' -27' 119° 52°09' -29' 121° 51°38' -30' 122° 14

15 54°06' -23' 116° 53°39' -24' 117° 53°11' -26' 119° 52°42' -27' 120° 52°12' -28' 121° 51°40' -30' 122° 51°08' -31' 123° 15

16 53°43' -24' 118° 53°15' -25' 119° 52°45' -27' 120° 52°15' -28' 121° 51°43' -29' 122° 51°11' -31' 123° 50°37' -32' 124° 16

17 53°19' -25' 119° 52°50' -27' 120° 52°19' -28' 122° 51°47' -29' 123° 51°14' -30' 124° 50°40' -31' 125° 50°05' -33' 126° 17

18 52°54' -26' 121° 52°23' -28' 122° 51°51' -29' 123° 51°18' -30' 124° 50°44' -31' 125° 50°09' -32' 126° 49°33' -33' 127° 18

19 52°28' -27' 122° 51°55' -29' 123° 51°22' -30' 124° 50°48' -31' 125° 50°12' -32' 126° 49°36' -33' 127° 48°59' -34' 128° 19

20 52°00' -28' 124° 51°27' -30' 125° 50°52' -31' 126° 50°16' -32' 127° 49°40' -33' 128° 49°03' -34' 129° 48°25' -35' 130° 20

21 51°32' -29' 125° 50°57' -31' 126° 50°21' -32' 127° 49°44' -33' 128° 49°07' -34' 129° 48°29' -35' 130° 47°50' -36' 131° 21

22 51°02' -30' 127° 50°26' -32' 128° 49°49' -33' 128° 49°12' -34' 129° 48°33' -35' 130° 47°54' -36' 131° 47°14' -37' 132° 22

23 50°32' -31' 128° 49°55' -32' 129° 49°17' -33' 130° 48°38' -34' 131° 47°59' -35' 132° 47°18' -36' 132° 46°38' -37' 133° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

34° 326° LHA Latitude CONTRARY to DECLINATION 34° 326° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

33° 327° LHA Latitude CONTRARY to Declination 33° 327° LHA

33° 327° LHA Latitude CONTRARY to DECLINATION 33° 327° LHA

34° 326° LHA Latitude CONTRARY to Declination 34° 326° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 77: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 58°00' -01' 90° 57°59' -03' 92° 57°57' -05' 93° 57°52' -07' 95° 57°47' -09' 96° 57°39' -11' 98° 57°30' -12' 99° 0

1 57°59' -03' 92° 57°56' -04' 93° 57°52' -06' 95° 57°46' -08' 97° 57°38' -10' 98° 57°29' -12' 100° 57°18' -14' 101° 1

2 57°57' -04' 94° 57°52' -06' 95° 57°45' -08' 97° 57°37' -10' 99° 57°28' -12' 100° 57°16' -14' 102° 57°04' -16' 103° 2

3 57°52' -06' 96° 57°46' -08' 97° 57°37' -10' 99° 57°27' -12' 100° 57°16' -13' 102° 57°03' -15' 103° 56°48' -17' 105° 3

4 57°47' -07' 98° 57°38' -09' 99° 57°28' -11' 101° 57°16' -13' 102° 57°02' -15' 104° 56°47' -17' 105° 56°31' -18' 107° 4

5 57°39' -09' 99° 57°29' -11' 101° 57°16' -13' 102° 57°03' -15' 104° 56°47' -16' 105° 56°31' -18' 107° 56°13' -20' 108° 5

6 57°30' -11' 101° 57°18' -13' 103° 57°04' -14' 104° 56°48' -16' 106° 56°31' -18' 107° 56°13' -20' 109° 55°53' -21' 110° 6

7 57°19' -12' 103° 57°05' -14' 105° 56°49' -16' 106° 56°32' -18' 107° 56°13' -19' 109° 55°53' -21' 110° 55°32' -23' 112° 7

8 57°07' -14' 105° 56°51' -16' 106° 56°33' -17' 108° 56°14' -19' 109° 55°54' -21' 111° 55°32' -22' 112° 55°09' -24' 113° 8

9 56°53' -15' 107° 56°35' -17' 108° 56°16' -19' 110° 55°55' -20' 111° 55°33' -22' 112° 55°10' -24' 114° 54°45' -25' 115° 9

10 56°38' -17' 108° 56°18' -18' 110° 55°57' -20' 111° 55°35' -22' 113° 55°11' -23' 114° 54°46' -25' 115° 54°20' -26' 116° 10

11 56°21' -18' 110° 56°00' -20' 112° 55°37' -21' 113° 55°13' -23' 114° 54°48' -25' 116° 54°21' -26' 117° 53°54' -27' 118° 11

12 56°03' -20' 112° 55°40' -21' 113° 55°16' -23' 115° 54°50' -24' 116° 54°23' -26' 117° 53°55' -27' 118° 53°26' -29' 120° 12

13 55°43' -21' 114° 55°19' -23' 115° 54°53' -24' 116° 54°26' -26' 117° 53°58' -27' 119° 53°28' -28' 120° 52°58' -30' 121° 13

14 55°22' -22' 115° 54°56' -24' 116° 54°29' -25' 118° 54°00' -27' 119° 53°31' -28' 120° 53°00' -29' 121° 52°28' -31' 122° 14

15 55°00' -24' 117° 54°32' -25' 118° 54°04' -26' 119° 53°34' -28' 120° 53°03' -29' 122° 52°31' -30' 123° 51°58' -32' 124° 15

16 54°36' -25' 118° 54°07' -26' 120° 53°37' -28' 121° 53°06' -29' 122° 52°34' -30' 123° 52°00' -31' 124° 51°26' -33' 125° 16

17 54°12' -26' 120° 53°41' -27' 121° 53°09' -29' 122° 52°37' -30' 123° 52°03' -31' 124° 51°29' -32' 126° 50°54' -33' 127° 17

18 53°46' -27' 122° 53°14' -28' 123° 52°41' -30' 124° 52°07' -31' 125° 51°32' -32' 126° 50°57' -33' 127° 50°20' -34' 128° 18

19 53°18' -28' 123° 52°45' -30' 124° 52°11' -31' 125° 51°36' -32' 126° 51°00' -33' 127° 50°23' -34' 128° 49°46' -35' 129° 19

20 52°50' -29' 124° 52°16' -31' 126° 51°40' -32' 127° 51°04' -33' 128° 50°27' -34' 129° 49°49' -35' 129° 49°11' -36' 130° 20

21 52°21' -30' 126° 51°45' -32' 127° 51°09' -33' 128° 50°31' -34' 129° 49°53' -35' 130° 49°15' -36' 131° 48°35' -37' 132° 21

22 51°50' -31' 127° 51°14' -32' 128° 50°36' -34' 129° 49°58' -35' 130° 49°19' -36' 131° 48°39' -36' 132° 47°58' -37' 133° 22

23 51°19' -32' 129° 50°41' -33' 130° 50°03' -34' 131° 49°23' -35' 131° 48°43' -36' 132° 48°02' -37' 133° 47°21' -38' 134° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 59°00' -01' 90° 58°59' -03' 92° 58°57' -05' 93° 58°52' -07' 95° 58°46' -09' 97° 58°38' -11' 98° 58°29' -13' 100° 0

1 58°59' -03' 92° 58°56' -05' 94° 58°52' -07' 95° 58°45' -09' 97° 58°37' -11' 99° 58°27' -13' 100° 58°16' -14' 102° 1

2 58°57' -04' 94° 58°52' -06' 96° 58°45' -08' 97° 58°37' -10' 99° 58°27' -12' 100° 58°15' -14' 102° 58°02' -16' 104° 2

3 58°52' -06' 96° 58°45' -08' 97° 58°37' -10' 99° 58°26' -12' 101° 58°14' -14' 102° 58°01' -16' 104° 57°46' -18' 105° 3

4 58°46' -08' 98° 58°37' -10' 99° 58°27' -12' 101° 58°14' -14' 103° 58°01' -15' 104° 57°45' -17' 106° 57°28' -19' 107° 4

5 58°38' -09' 100° 58°27' -11' 101° 58°15' -13' 103° 58°01' -15' 104° 57°45' -17' 106° 57°28' -19' 107° 57°09' -20' 109° 5

6 58°29' -11' 102° 58°16' -13' 103° 58°02' -15' 105° 57°46' -17' 106° 57°28' -18' 108° 57°09' -20' 109° 56°49' -22' 111° 6

7 58°18' -13' 103° 58°03' -15' 105° 57°47' -16' 107° 57°29' -18' 108° 57°10' -20' 109° 56°49' -22' 111° 56°27' -23' 112° 7

8 58°05' -14' 105° 57°48' -16' 107° 57°30' -18' 108° 57°11' -20' 110° 56°50' -21' 111° 56°27' -23' 113° 56°04' -25' 114° 8

9 57°51' -16' 107° 57°32' -18' 109° 57°12' -19' 110° 56°51' -21' 112° 56°28' -23' 113° 56°04' -24' 114° 55°39' -26' 116° 9

10 57°35' -17' 109° 57°15' -19' 110° 56°53' -21' 112° 56°30' -22' 113° 56°06' -24' 115° 55°40' -26' 116° 55°13' -27' 117° 10

11 57°17' -19' 111° 56°56' -21' 112° 56°32' -22' 114° 56°08' -24' 115° 55°42' -25' 116° 55°15' -27' 118° 54°46' -28' 119° 11

12 56°59' -20' 112° 56°35' -22' 114° 56°10' -24' 115° 55°44' -25' 117° 55°16' -27' 118° 54°48' -28' 119° 54°18' -29' 120° 12

13 56°38' -22' 114° 56°13' -23' 116° 55°47' -25' 117° 55°19' -26' 118° 54°50' -28' 119° 54°20' -29' 121° 53°49' -30' 122° 13

14 56°16' -23' 116° 55°50' -25' 117° 55°22' -26' 118° 54°53' -27' 120° 54°22' -29' 121° 53°51' -30' 122° 53°18' -31' 123° 14

15 55°53' -24' 117° 55°25' -26' 119° 54°56' -27' 120° 54°25' -29' 121° 53°53' -30' 122° 53°21' -31' 124° 52°47' -32' 125° 15

16 55°29' -26' 119° 54°59' -27' 120° 54°28' -28' 122° 53°56' -30' 123° 53°23' -31' 124° 52°50' -32' 125° 52°15' -33' 126° 16

17 55°03' -27' 121° 54°32' -28' 122° 54°00' -30' 123° 53°27' -31' 124° 52°53' -32' 125° 52°17' -33' 126° 51°41' -34' 127° 17

18 54°37' -28' 122° 54°04' -29' 123° 53°30' -31' 125° 52°56' -32' 126° 52°21' -33' 127° 51°44' -34' 128° 51°07' -35' 129° 18

19 54°08' -29' 124° 53°35' -30' 125° 53°00' -32' 126° 52°24' -33' 127° 51°48' -34' 128° 51°10' -35' 129° 50°32' -36' 130° 19

20 53°39' -30' 125° 53°04' -31' 126° 52°28' -33' 127° 51°51' -34' 128° 51°14' -35' 129° 50°35' -36' 130° 49°56' -37' 131° 20

21 53°09' -31' 127° 52°33' -32' 128° 51°56' -33' 129° 51°18' -35' 130° 50°39' -36' 131° 50°00' -37' 132° 49°19' -37' 132° 21

22 52°38' -32' 128° 52°00' -33' 129° 51°22' -34' 130° 50°43' -35' 131° 50°03' -36' 132° 49°23' -37' 133° 48°42' -38' 134° 22

23 52°06' -33' 129° 51°27' -34' 130° 50°48' -35' 131° 50°08' -36' 132° 49°27' -37' 133° 48°46' -38' 134° 48°04' -39' 135° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

31° 329° LHA Latitude CONTRARY to DECLINATION 31° 329° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

32° 328° LHA Latitude CONTRARY to Declination 32° 328° LHA

32° 328° LHA Latitude CONTRARY to DECLINATION 32° 328° LHA

31° 329° LHA Latitude CONTRARY to Declination 31° 329° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 78: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 60°00' -01' 90° 59°59' -03' 92° 59°56' -05' 93° 59°52' -07' 95° 59°46' -09' 97° 59°37' -11' 99° 59°28' -13' 100° 0

1 59°59' -03' 92° 59°56' -05' 94° 59°51' -07' 95° 59°45' -09' 97° 59°36' -11' 99° 59°26' -13' 101° 59°14' -15' 102° 1

2 59°56' -05' 94° 59°51' -07' 96° 59°44' -09' 97° 59°36' -11' 99° 59°25' -13' 101° 59°13' -15' 102° 59°00' -16' 104° 2

3 59°52' -06' 96° 59°45' -08' 98° 59°36' -10' 99° 59°25' -12' 101° 59°13' -14' 103° 58°59' -16' 104° 58°43' -18' 106° 3

4 59°46' -08' 98° 59°36' -10' 100° 59°25' -12' 101° 59°13' -14' 103° 58°59' -16' 105° 58°43' -18' 106° 58°25' -20' 108° 4

5 59°37' -10' 100° 59°26' -12' 102° 59°13' -14' 103° 58°59' -16' 105° 58°43' -18' 106° 58°25' -19' 108° 58°05' -21' 110° 5

6 59°28' -12' 102° 59°14' -13' 104° 59°00' -15' 105° 58°43' -17' 107° 58°25' -19' 108° 58°05' -21' 110° 57°44' -23' 111° 6

7 59°16' -13' 104° 59°01' -15' 105° 58°44' -17' 107° 58°26' -19' 109° 58°06' -21' 110° 57°45' -22' 112° 57°22' -24' 113° 7

8 59°03' -15' 106° 58°46' -17' 107° 58°27' -19' 109° 58°07' -20' 110° 57°45' -22' 112° 57°22' -24' 113° 56°58' -25' 115° 8

9 58°48' -16' 108° 58°29' -18' 109° 58°09' -20' 111° 57°47' -22' 112° 57°23' -23' 114° 56°59' -25' 115° 56°33' -27' 116° 9

10 58°32' -18' 109° 58°11' -20' 111° 57°49' -22' 112° 57°25' -23' 114° 57°00' -25' 115° 56°34' -26' 117° 56°06' -28' 118° 10

11 58°13' -20' 111° 57°51' -21' 113° 57°27' -23' 114° 57°02' -25' 116° 56°35' -26' 117° 56°07' -28' 118° 55°38' -29' 120° 11

12 57°54' -21' 113° 57°30' -23' 114° 57°04' -24' 116° 56°37' -26' 117° 56°09' -27' 119° 55°40' -29' 120° 55°09' -30' 121° 12

13 57°33' -22' 115° 57°07' -24' 116° 56°40' -26' 118° 56°11' -27' 119° 55°42' -29' 120° 55°11' -30' 121° 54°39' -31' 123° 13

14 57°10' -24' 117° 56°43' -25' 118° 56°14' -27' 119° 55°44' -28' 120° 55°13' -30' 122° 54°41' -31' 123° 54°08' -32' 124° 14

15 56°46' -25' 118° 56°17' -27' 120° 55°47' -28' 121° 55°16' -29' 122° 54°44' -31' 123° 54°10' -32' 124° 53°36' -33' 126° 15

16 56°21' -26' 120° 55°51' -28' 121° 55°19' -29' 122° 54°47' -31' 124° 54°13' -32' 125° 53°38' -33' 126° 53°03' -34' 127° 16

17 55°55' -28' 121° 55°23' -29' 123° 54°50' -30' 124° 54°16' -32' 125° 53°41' -33' 126° 53°05' -34' 127° 52°28' -35' 128° 17

18 55°27' -29' 123° 54°54' -30' 124° 54°20' -31' 125° 53°44' -33' 126° 53°08' -34' 128° 52°31' -35' 129° 51°53' -36' 130° 18

19 54°58' -30' 125° 54°24' -31' 126° 53°48' -32' 127° 53°12' -34' 128° 52°34' -35' 129° 51°56' -36' 130° 51°17' -37' 131° 19

20 54°28' -31' 126° 53°52' -32' 127° 53°16' -33' 128° 52°38' -35' 129° 52°00' -36' 130° 51°21' -37' 131° 50°41' -38' 132° 20

21 53°57' -32' 128° 53°20' -33' 129° 52°42' -34' 130° 52°04' -35' 131° 51°24' -36' 132° 50°44' -37' 132° 50°03' -38' 133° 21

22 53°25' -33' 129° 52°47' -34' 130° 52°08' -35' 131° 51°28' -36' 132° 50°48' -37' 133° 50°07' -38' 134° 49°25' -39' 135° 22

23 52°52' -34' 130° 52°12' -35' 131° 51°32' -36' 132° 50°52' -37' 133° 50°10' -38' 134° 49°28' -39' 135° 48°46' -40' 136° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 61°00' -01' 90° 60°59' -03' 92° 60°56' -05' 94° 60°52' -07' 95° 60°45' -09' 97° 60°37' -12' 99° 60°26' -14' 101° 0

1 60°59' -03' 92° 60°56' -05' 94° 60°51' -07' 96° 60°44' -09' 97° 60°35' -11' 99° 60°25' -13' 101° 60°13' -15' 103° 1

2 60°56' -05' 94° 60°51' -07' 96° 60°44' -09' 98° 60°35' -11' 99° 60°24' -13' 101° 60°12' -15' 103° 59°57' -17' 105° 2

3 60°52' -07' 96° 60°44' -09' 98° 60°35' -11' 100° 60°24' -13' 101° 60°11' -15' 103° 59°57' -17' 105° 59°40' -19' 106° 3

4 60°45' -08' 98° 60°35' -10' 100° 60°24' -13' 102° 60°11' -15' 103° 59°56' -16' 105° 59°40' -18' 107° 59°22' -20' 108° 4

5 60°37' -10' 100° 60°25' -12' 102° 60°12' -14' 104° 59°57' -16' 105° 59°40' -18' 107° 59°22' -20' 109° 59°02' -22' 110° 5

6 60°26' -12' 102° 60°13' -14' 104° 59°57' -16' 106° 59°40' -18' 107° 59°22' -20' 109° 59°02' -21' 110° 58°40' -23' 112° 6

7 60°14' -14' 104° 59°59' -16' 106° 59°41' -18' 108° 59°23' -19' 109° 59°02' -21' 111° 58°40' -23' 112° 58°17' -25' 114° 7

8 60°01' -15' 106° 59°43' -17' 108° 59°24' -19' 109° 59°03' -21' 111° 58°41' -23' 113° 58°17' -24' 114° 57°52' -26' 115° 8

9 59°45' -17' 108° 59°26' -19' 110° 59°05' -21' 111° 58°42' -22' 113° 58°18' -24' 114° 57°53' -26' 116° 57°26' -27' 117° 9

10 59°28' -19' 110° 59°07' -21' 112° 58°44' -22' 113° 58°20' -24' 115° 57°54' -26' 116° 57°27' -27' 117° 56°59' -29' 119° 10

11 59°09' -20' 112° 58°46' -22' 113° 58°22' -24' 115° 57°56' -25' 116° 57°28' -27' 118° 57°00' -28' 119° 56°30' -30' 120° 11

12 58°49' -22' 114° 58°24' -23' 115° 57°58' -25' 117° 57°30' -27' 118° 57°02' -28' 119° 56°32' -30' 121° 56°00' -31' 122° 12

13 58°27' -23' 115° 58°01' -25' 117° 57°33' -26' 118° 57°04' -28' 120° 56°33' -29' 121° 56°02' -31' 122° 55°29' -32' 124° 13

14 58°04' -25' 117° 57°36' -26' 119° 57°06' -28' 120° 56°36' -29' 121° 56°04' -31' 123° 55°31' -32' 124° 54°57' -33' 125° 14

15 57°39' -26' 119° 57°09' -28' 120° 56°39' -29' 122° 56°07' -30' 123° 55°34' -32' 124° 54°59' -33' 125° 54°24' -34' 126° 15

16 57°13' -27' 121° 56°42' -29' 122° 56°10' -30' 123° 55°36' -31' 124° 55°02' -33' 126° 54°26' -34' 127° 53°50' -35' 128° 16

17 56°46' -29' 122° 56°13' -30' 124° 55°40' -31' 125° 55°05' -33' 126° 54°29' -34' 127° 53°53' -35' 128° 53°15' -36' 129° 17

18 56°17' -30' 124° 55°43' -31' 125° 55°08' -32' 126° 54°32' -34' 127° 53°55' -35' 128° 53°18' -36' 130° 52°39' -37' 131° 18

19 55°47' -31' 125° 55°12' -32' 127° 54°36' -33' 128° 53°59' -35' 129° 53°21' -36' 130° 52°42' -37' 131° 52°02' -38' 132° 19

20 55°16' -32' 127° 54°40' -33' 128° 54°02' -34' 129° 53°24' -35' 130° 52°45' -37' 131° 52°05' -38' 132° 51°25' -38' 133° 20

21 54°44' -33' 128° 54°07' -34' 129° 53°28' -35' 131° 52°49' -36' 132° 52°09' -37' 132° 51°28' -38' 133° 50°46' -39' 134° 21

22 54°11' -34' 130° 53°32' -35' 131° 52°53' -36' 132° 52°12' -37' 133° 51°31' -38' 134° 50°49' -39' 135° 50°07' -40' 135° 22

23 53°37' -35' 131° 52°57' -36' 132° 52°17' -37' 133° 51°35' -38' 134° 50°53' -39' 135° 50°10' -40' 136° 49°27' -41' 137° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

30° 330° LHA Latitude CONTRARY to Declination 30° 330° LHA

30° 330° LHA Latitude CONTRARY to DECLINATION 30° 330° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

29° 331° LHA Latitude CONTRARY to Declination 29° 331° LHA

29° 331° LHA Latitude CONTRARY to DECLINATION 29° 331° LHA

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Page 79: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 62°00' -01' 90° 61°59' -03' 92° 61°56' -05' 94° 61°51' -08' 96° 61°44' -10' 97° 61°36' -12' 99° 61°25' -14' 101° 0

1 61°59' -03' 92° 61°56' -05' 94° 61°51' -07' 96° 61°44' -10' 98° 61°35' -12' 100° 61°24' -14' 101° 61°11' -16' 103° 1

2 61°56' -05' 94° 61°51' -07' 96° 61°43' -09' 98° 61°34' -11' 100° 61°23' -13' 102° 61°10' -16' 103° 60°55' -18' 105° 2

3 61°51' -07' 96° 61°44' -09' 98° 61°34' -11' 100° 61°23' -13' 102° 61°09' -15' 104° 60°54' -17' 105° 60°38' -19' 107° 3

4 61°44' -09' 98° 61°35' -11' 100° 61°23' -13' 102° 61°09' -15' 104° 60°54' -17' 106° 60°37' -19' 107° 60°18' -21' 109° 4

5 61°36' -11' 101° 61°24' -13' 102° 61°10' -15' 104° 60°54' -17' 106° 60°37' -19' 108° 60°18' -21' 109° 59°57' -22' 111° 5

6 61°25' -12' 103° 61°11' -15' 104° 60°55' -17' 106° 60°38' -18' 108° 60°18' -20' 110° 59°57' -22' 111° 59°35' -24' 113° 6

7 61°12' -14' 105° 60°56' -16' 106° 60°39' -18' 108° 60°19' -20' 110° 59°58' -22' 111° 59°35' -24' 113° 59°11' -25' 115° 7

8 60°58' -16' 107° 60°40' -18' 108° 60°20' -20' 110° 59°59' -22' 112° 59°36' -23' 113° 59°12' -25' 115° 58°46' -27' 116° 8

9 60°42' -18' 109° 60°22' -20' 110° 60°00' -21' 112° 59°37' -23' 114° 59°13' -25' 115° 58°46' -27' 117° 58°19' -28' 118° 9

10 60°24' -19' 111° 60°02' -21' 112° 59°39' -23' 114° 59°14' -25' 115° 58°48' -26' 117° 58°20' -28' 118° 57°51' -29' 120° 10

11 60°05' -21' 112° 59°41' -23' 114° 59°16' -25' 116° 58°49' -26' 117° 58°21' -28' 119° 57°52' -29' 120° 57°21' -31' 121° 11

12 59°44' -23' 114° 59°18' -24' 116° 58°51' -26' 117° 58°23' -28' 119° 57°54' -29' 120° 57°23' -30' 122° 56°51' -32' 123° 12

13 59°21' -24' 116° 58°54' -26' 118° 58°25' -27' 119° 57°56' -29' 121° 57°24' -30' 122° 56°52' -32' 123° 56°19' -33' 124° 13

14 58°57' -26' 118° 58°28' -27' 119° 57°58' -29' 121° 57°27' -30' 122° 56°54' -31' 123° 56°21' -33' 125° 55°46' -34' 126° 14

15 58°31' -27' 120° 58°01' -28' 121° 57°29' -30' 122° 56°57' -31' 124° 56°23' -33' 125° 55°48' -34' 126° 55°12' -35' 127° 15

16 58°05' -28' 121° 57°33' -30' 123° 57°00' -31' 124° 56°25' -32' 125° 55°50' -34' 127° 55°14' -35' 128° 54°37' -36' 129° 16

17 57°36' -30' 123° 57°03' -31' 124° 56°29' -32' 126° 55°53' -33' 127° 55°17' -35' 128° 54°39' -36' 129° 54°01' -37' 130° 17

18 57°07' -31' 125° 56°32' -32' 126° 55°56' -33' 127° 55°20' -34' 128° 54°42' -36' 129° 54°03' -37' 130° 53°24' -38' 132° 18

19 56°36' -32' 126° 56°00' -33' 127° 55°23' -34' 129° 54°45' -35' 130° 54°06' -37' 131° 53°27' -38' 132° 52°46' -39' 133° 19

20 56°04' -33' 128° 55°27' -34' 129° 54°49' -35' 130° 54°10' -36' 131° 53°30' -37' 132° 52°49' -38' 133° 52°08' -39' 134° 20

21 55°31' -34' 129° 54°53' -35' 130° 54°13' -36' 131° 53°33' -37' 132° 52°52' -38' 133° 52°11' -39' 134° 51°28' -40' 135° 21

22 54°57' -35' 131° 54°17' -36' 132° 53°37' -37' 133° 52°56' -38' 134° 52°14' -39' 135° 51°32' -40' 136° 50°48' -41' 136° 22

23 54°22' -36' 132° 53°41' -37' 133° 53°00' -38' 134° 52°18' -39' 135° 51°35' -40' 136° 50°52' -41' 137° 50°08' -41' 138° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 63°00' -01' 90° 62°59' -03' 92° 62°56' -06' 94° 62°51' -08' 96° 62°44' -10' 98° 62°35' -12' 100° 62°23' -14' 102° 0

1 62°59' -03' 92° 62°56' -05' 94° 62°50' -08' 96° 62°43' -10' 98° 62°34' -12' 100° 62°22' -14' 102° 62°09' -16' 104° 1

2 62°56' -05' 94° 62°50' -07' 96° 62°43' -10' 98° 62°33' -12' 100° 62°21' -14' 102° 62°08' -16' 104° 61°53' -18' 106° 2

3 62°51' -07' 97° 62°43' -09' 99° 62°33' -12' 100° 62°21' -14' 102° 62°07' -16' 104° 61°52' -18' 106° 61°34' -20' 108° 3

4 62°44' -09' 99° 62°34' -11' 101° 62°21' -13' 103° 62°07' -16' 104° 61°52' -18' 106° 61°34' -20' 108° 61°15' -22' 110° 4

5 62°35' -11' 101° 62°22' -13' 103° 62°08' -15' 105° 61°52' -17' 106° 61°34' -19' 108° 61°14' -21' 110° 60°53' -23' 112° 5

6 62°23' -13' 103° 62°09' -15' 105° 61°53' -17' 107° 61°34' -19' 108° 61°15' -21' 110° 60°53' -23' 112° 60°30' -25' 114° 6

7 62°10' -15' 105° 61°54' -17' 107° 61°35' -19' 109° 61°15' -21' 110° 60°54' -23' 112° 60°30' -24' 114° 60°05' -26' 115° 7

8 61°56' -17' 107° 61°37' -19' 109° 61°17' -21' 111° 60°54' -22' 112° 60°31' -24' 114° 60°06' -26' 116° 59°39' -28' 117° 8

9 61°39' -18' 109° 61°18' -20' 111° 60°56' -22' 113° 60°32' -24' 114° 60°07' -26' 116° 59°40' -27' 117° 59°11' -29' 119° 9

10 61°20' -20' 111° 60°58' -22' 113° 60°34' -24' 115° 60°08' -26' 116° 59°41' -27' 118° 59°12' -29' 119° 58°42' -30' 121° 10

11 61°00' -22' 113° 60°36' -24' 115° 60°10' -25' 116° 59°42' -27' 118° 59°14' -29' 119° 58°43' -30' 121° 58°12' -32' 122° 11

12 60°38' -23' 115° 60°12' -25' 117° 59°44' -27' 118° 59°15' -28' 120° 58°45' -30' 121° 58°13' -31' 123° 57°41' -33' 124° 12

13 60°15' -25' 117° 59°47' -27' 118° 59°18' -28' 120° 58°47' -30' 121° 58°15' -31' 123° 57°42' -33' 124° 57°08' -34' 125° 13

14 59°50' -26' 119° 59°20' -28' 120° 58°49' -30' 122° 58°17' -31' 123° 57°44' -32' 124° 57°09' -34' 126° 56°34' -35' 127° 14

15 59°23' -28' 121° 58°52' -29' 122° 58°20' -31' 123° 57°46' -32' 125° 57°12' -33' 126° 56°36' -35' 127° 55°59' -36' 128° 15

16 58°55' -29' 122° 58°23' -31' 124° 57°49' -32' 125° 57°14' -33' 126° 56°38' -35' 127° 56°01' -36' 129° 55°23' -37' 130° 16

17 58°26' -30' 124° 57°52' -32' 125° 57°17' -33' 127° 56°41' -34' 128° 56°03' -36' 129° 55°25' -37' 130° 54°46' -38' 131° 17

18 57°56' -32' 126° 57°20' -33' 127° 56°44' -34' 128° 56°06' -35' 129° 55°28' -37' 130° 54°49' -38' 131° 54°08' -39' 133° 18

19 57°24' -33' 127° 56°47' -34' 128° 56°10' -35' 130° 55°31' -36' 131° 54°51' -37' 132° 54°11' -39' 133° 53°30' -39' 134° 19

20 56°51' -34' 129° 56°13' -35' 130° 55°34' -36' 131° 54°54' -37' 132° 54°14' -38' 133° 53°32' -39' 134° 52°50' -40' 135° 20

21 56°17' -35' 130° 55°38' -36' 131° 54°58' -37' 132° 54°17' -38' 133° 53°35' -39' 134° 52°53' -40' 135° 52°10' -41' 136° 21

22 55°42' -36' 132° 55°02' -37' 133° 54°21' -38' 134° 53°39' -39' 135° 52°56' -40' 136° 52°13' -41' 137° 51°29' -42' 137° 22

23 55°06' -37' 133° 54°25' -38' 134° 53°43' -39' 135° 53°00' -40' 136° 52°16' -41' 137° 51°32' -42' 138° 50°47' -42' 139° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

28° 332° LHA Latitude CONTRARY to DECLINATION 28° 332° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

27° 333° LHA Latitude CONTRARY to Declination 27° 333° LHA

27° 333° LHA Latitude CONTRARY to DECLINATION 27° 333° LHA

28° 332° LHA Latitude CONTRARY to Declination 28° 332° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 80: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 64°00' -01' 90° 63°59' -03' 92° 63°56' -06' 94° 63°50' -08' 96° 63°43' -10' 98° 63°33' -13' 100° 63°22' -15' 102° 0

1 63°59' -03' 92° 63°55' -06' 94° 63°50' -08' 96° 63°42' -10' 98° 63°32' -13' 100° 63°21' -15' 102° 63°07' -17' 104° 1

2 63°56' -05' 95° 63°50' -08' 97° 63°42' -10' 99° 63°32' -12' 101° 63°20' -14' 103° 63°06' -17' 104° 62°50' -19' 106° 2

3 63°50' -07' 97° 63°42' -10' 99° 63°32' -12' 101° 63°20' -14' 103° 63°05' -16' 105° 62°49' -19' 107° 62°31' -21' 108° 3

4 63°43' -10' 99° 63°32' -12' 101° 63°20' -14' 103° 63°05' -16' 105° 62°49' -18' 107° 62°31' -20' 109° 62°11' -22' 110° 4

5 63°33' -12' 101° 63°21' -14' 103° 63°06' -16' 105° 62°49' -18' 107° 62°31' -20' 109° 62°10' -22' 111° 61°48' -24' 112° 5

6 63°22' -14' 103° 63°07' -16' 105° 62°50' -18' 107° 62°31' -20' 109° 62°11' -22' 111° 61°48' -24' 113° 61°24' -26' 114° 6

7 63°08' -16' 106° 62°51' -18' 108° 62°32' -20' 109° 62°11' -22' 111° 61°49' -24' 113° 61°25' -25' 115° 60°59' -27' 116° 7

8 62°53' -17' 108° 62°34' -19' 110° 62°12' -21' 111° 61°50' -23' 113° 61°25' -25' 115° 60°59' -27' 116° 60°32' -29' 118° 8

9 62°35' -19' 110° 62°14' -21' 112° 61°51' -23' 113° 61°26' -25' 115° 61°00' -27' 117° 60°33' -28' 118° 60°03' -30' 120° 9

10 62°16' -21' 112° 61°53' -23' 114° 61°28' -25' 115° 61°02' -26' 117° 60°34' -28' 119° 60°04' -30' 120° 59°33' -31' 122° 10

11 61°55' -23' 114° 61°30' -25' 116° 61°03' -26' 117° 60°35' -28' 119° 60°05' -30' 120° 59°35' -31' 122° 59°02' -32' 123° 11

12 61°32' -24' 116° 61°05' -26' 118° 60°37' -28' 119° 60°07' -29' 121° 59°36' -31' 122° 59°03' -32' 123° 58°30' -34' 125° 12

13 61°08' -26' 118° 60°39' -28' 119° 60°09' -29' 121° 59°38' -31' 122° 59°05' -32' 124° 58°31' -33' 125° 57°56' -35' 126° 13

14 60°42' -27' 120° 60°12' -29' 121° 59°40' -31' 123° 59°07' -32' 124° 58°33' -33' 125° 57°58' -35' 127° 57°21' -36' 128° 14

15 60°15' -29' 121° 59°43' -30' 123° 59°10' -32' 124° 58°35' -33' 126° 58°00' -34' 127° 57°23' -36' 128° 56°45' -37' 129° 15

16 59°46' -30' 123° 59°12' -32' 125° 58°38' -33' 126° 58°02' -34' 127° 57°25' -36' 129° 56°47' -37' 130° 56°09' -38' 131° 16

17 59°16' -31' 125° 58°41' -33' 126° 58°05' -34' 128° 57°28' -35' 129° 56°50' -37' 130° 56°11' -38' 131° 55°31' -39' 132° 17

18 58°44' -33' 127° 58°08' -34' 128° 57°31' -35' 129° 56°52' -36' 130° 56°13' -38' 131° 55°33' -39' 133° 54°52' -40' 134° 18

19 58°12' -34' 128° 57°34' -35' 129° 56°55' -36' 131° 56°16' -37' 132° 55°36' -38' 133° 54°54' -39' 134° 54°12' -40' 135° 19

20 57°38' -35' 130° 56°59' -36' 131° 56°19' -37' 132° 55°39' -38' 133° 54°57' -39' 134° 54°15' -40' 135° 53°32' -41' 136° 20

21 57°03' -36' 131° 56°23' -37' 132° 55°42' -38' 133° 55°00' -39' 134° 54°18' -40' 135° 53°35' -41' 136° 52°51' -42' 137° 21

22 56°27' -37' 133° 55°46' -38' 134° 55°04' -39' 135° 54°21' -40' 136° 53°38' -41' 137° 52°54' -42' 138° 52°09' -43' 139° 22

23 55°50' -38' 134° 55°07' -39' 135° 54°25' -40' 136° 53°41' -41' 137° 52°57' -42' 138° 52°12' -42' 139° 51°26' -43' 140° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 65°00' -01' 90° 64°59' -04' 92° 64°56' -06' 94° 64°50' -08' 96° 64°42' -11' 99° 64°32' -13' 101° 64°20' -15' 103° 0

1 64°59' -03' 92° 64°55' -06' 95° 64°49' -08' 97° 64°41' -11' 99° 64°31' -13' 101° 64°19' -15' 103° 64°05' -17' 105° 1

2 64°56' -06' 95° 64°49' -08' 97° 64°41' -10' 99° 64°31' -13' 101° 64°18' -15' 103° 64°04' -17' 105° 63°47' -19' 107° 2

3 64°50' -08' 97° 64°41' -10' 99° 64°31' -13' 101° 64°18' -15' 103° 64°03' -17' 105° 63°46' -19' 107° 63°28' -21' 109° 3

4 64°42' -10' 99° 64°31' -12' 101° 64°18' -15' 104° 64°03' -17' 106° 63°46' -19' 107° 63°27' -21' 109° 63°06' -23' 111° 4

5 64°32' -12' 102° 64°19' -14' 104° 64°04' -17' 106° 63°46' -19' 108° 63°27' -21' 110° 63°06' -23' 111° 62°43' -25' 113° 5

6 64°20' -14' 104° 64°05' -16' 106° 63°47' -19' 108° 63°28' -21' 110° 63°06' -23' 112° 62°43' -25' 113° 62°19' -26' 115° 6

7 64°06' -16' 106° 63°48' -18' 108° 63°29' -20' 110° 63°07' -22' 112° 62°44' -24' 114° 62°19' -26' 115° 61°52' -28' 117° 7

8 63°50' -18' 108° 63°30' -20' 110° 63°08' -22' 112° 62°45' -24' 114° 62°19' -26' 116° 61°53' -28' 117° 61°24' -29' 119° 8

9 63°32' -20' 111° 63°10' -22' 112° 62°46' -24' 114° 62°21' -26' 116° 61°53' -28' 118° 61°25' -29' 119° 60°55' -31' 121° 9

10 63°12' -22' 113° 62°48' -24' 114° 62°22' -26' 116° 61°55' -27' 118° 61°26' -29' 120° 60°56' -31' 121° 60°24' -32' 123° 10

11 62°50' -24' 115° 62°24' -25' 116° 61°56' -27' 118° 61°27' -29' 120° 60°57' -30' 121° 60°25' -32' 123° 59°52' -33' 124° 11

12 62°26' -25' 117° 61°58' -27' 118° 61°29' -29' 120° 60°58' -30' 122° 60°26' -32' 123° 59°53' -33' 125° 59°18' -35' 126° 12

13 62°01' -27' 119° 61°31' -29' 120° 61°01' -30' 122° 60°28' -32' 123° 59°55' -33' 125° 59°20' -34' 126° 58°44' -36' 128° 13

14 61°34' -28' 121° 61°03' -30' 122° 60°30' -32' 124° 59°57' -33' 125° 59°21' -34' 126° 58°45' -36' 128° 58°08' -37' 129° 14

15 61°06' -30' 122° 60°33' -31' 124° 59°59' -33' 125° 59°24' -34' 127° 58°47' -35' 128° 58°10' -37' 129° 57°31' -38' 131° 15

16 60°36' -31' 124° 60°02' -33' 126° 59°26' -34' 127° 58°49' -35' 128° 58°12' -37' 130° 57°33' -38' 131° 56°53' -39' 132° 16

17 60°05' -33' 126° 59°29' -34' 127° 58°52' -35' 129° 58°14' -36' 130° 57°35' -38' 131° 56°55' -39' 132° 56°15' -40' 133° 17

18 59°32' -34' 128° 58°55' -35' 129° 58°17' -36' 130° 57°38' -37' 131° 56°58' -39' 133° 56°17' -40' 134° 55°35' -41' 135° 18

19 58°58' -35' 129° 58°20' -36' 130° 57°41' -37' 132° 57°00' -38' 133° 56°19' -39' 134° 55°37' -40' 135° 54°54' -41' 136° 19

20 58°24' -36' 131° 57°44' -37' 132° 57°03' -38' 133° 56°22' -39' 134° 55°40' -40' 135° 54°57' -41' 136° 54°13' -42' 137° 20

21 57°47' -37' 132° 57°07' -38' 133° 56°25' -39' 134° 55°43' -40' 136° 54°59' -41' 137° 54°15' -42' 138° 53°31' -43' 138° 21

22 57°10' -38' 134° 56°29' -39' 135° 55°46' -40' 136° 55°02' -41' 137° 54°18' -42' 138° 53°34' -43' 139° 52°48' -43' 140° 22

23 56°32' -39' 135° 55°49' -40' 136° 55°06' -41' 137° 54°21' -42' 138° 53°36' -43' 139° 52°51' -43' 140° 52°05' -44' 141° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

25° 335° LHA Latitude CONTRARY to DECLINATION 25° 335° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

26° 334° LHA Latitude CONTRARY to Declination 26° 334° LHA

26° 334° LHA Latitude CONTRARY to DECLINATION 26° 334° LHA

25° 335° LHA Latitude CONTRARY to Declination 25° 335° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 81: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 66°00' -01' 90° 65°59' -04' 92° 65°55' -06' 94° 65°49' -09' 97° 65°41' -11' 99° 65°31' -14' 101° 65°18' -16' 103° 0

1 65°59' -04' 92° 65°55' -06' 95° 65°49' -09' 97° 65°41' -11' 99° 65°30' -13' 101° 65°17' -16' 103° 65°02' -18' 106° 1

2 65°55' -06' 95° 65°49' -08' 97° 65°40' -11' 99° 65°30' -13' 101° 65°17' -16' 104° 65°01' -18' 106° 64°44' -20' 108° 2

3 65°49' -08' 97° 65°41' -11' 100° 65°30' -13' 102° 65°16' -15' 104° 65°01' -18' 106° 64°43' -20' 108° 64°24' -22' 110° 3

4 65°41' -10' 100° 65°30' -13' 102° 65°17' -15' 104° 65°01' -17' 106° 64°43' -20' 108° 64°24' -22' 110° 64°02' -24' 112° 4

5 65°31' -13' 102° 65°17' -15' 104° 65°01' -17' 106° 64°43' -19' 108° 64°24' -22' 110° 64°02' -24' 112° 63°38' -26' 114° 5

6 65°18' -15' 104° 65°02' -17' 107° 64°44' -19' 109° 64°24' -21' 111° 64°02' -23' 113° 63°38' -25' 114° 63°12' -27' 116° 6

7 65°03' -17' 107° 64°45' -19' 109° 64°25' -21' 111° 64°03' -23' 113° 63°38' -25' 115° 63°13' -27' 116° 62°45' -29' 118° 7

8 64°47' -19' 109° 64°26' -21' 111° 64°04' -23' 113° 63°39' -25' 115° 63°13' -27' 117° 62°45' -29' 118° 62°16' -30' 120° 8

9 64°28' -21' 111° 64°05' -23' 113° 63°40' -25' 115° 63°14' -27' 117° 62°46' -29' 119° 62°17' -30' 120° 61°46' -32' 122° 9

10 64°07' -23' 113° 63°42' -25' 115° 63°16' -27' 117° 62°47' -28' 119° 62°18' -30' 121° 61°47' -32' 122° 61°14' -33' 124° 10

11 63°44' -25' 116° 63°17' -26' 117° 62°49' -28' 119° 62°19' -30' 121° 61°48' -31' 122° 61°15' -33' 124° 60°41' -34' 125° 11

12 63°20' -26' 118° 62°51' -28' 119° 62°21' -30' 121° 61°49' -31' 123° 61°16' -33' 124° 60°42' -34' 126° 60°06' -36' 127° 12

13 62°53' -28' 120° 62°23' -30' 121° 61°51' -31' 123° 61°18' -33' 124° 60°43' -34' 126° 60°08' -35' 127° 59°31' -37' 129° 13

14 62°26' -29' 122° 61°53' -31' 123° 61°20' -33' 125° 60°45' -34' 126° 60°09' -35' 128° 59°32' -37' 129° 58°54' -38' 130° 14

15 61°56' -31' 123° 61°22' -32' 125° 60°47' -34' 126° 60°11' -35' 128° 59°34' -36' 129° 58°56' -38' 130° 58°16' -39' 132° 15

16 61°25' -32' 125° 60°50' -34' 127° 60°14' -35' 128° 59°36' -36' 129° 58°57' -38' 131° 58°18' -39' 132° 57°37' -40' 133° 16

17 60°53' -34' 127° 60°16' -35' 128° 59°39' -36' 130° 59°00' -37' 131° 58°20' -39' 132° 57°39' -40' 133° 56°58' -41' 134° 17

18 60°19' -35' 129° 59°41' -36' 130° 59°02' -37' 131° 58°22' -38' 132° 57°41' -40' 134° 57°00' -41' 135° 56°17' -41' 136° 18

19 59°45' -36' 130° 59°05' -37' 132° 58°25' -38' 133° 57°44' -39' 134° 57°02' -40' 135° 56°19' -41' 136° 55°35' -42' 137° 19

20 59°09' -37' 132° 58°28' -38' 133° 57°47' -39' 134° 57°04' -40' 135° 56°21' -41' 136° 55°38' -42' 137° 54°53' -43' 138° 20

21 58°32' -38' 133° 57°50' -39' 135° 57°07' -40' 136° 56°24' -41' 137° 55°40' -42' 138° 54°55' -43' 139° 54°10' -44' 140° 21

22 57°53' -39' 135° 57°11' -40' 136° 56°27' -41' 137° 55°43' -42' 138° 54°58' -43' 139° 54°13' -44' 140° 53°26' -44' 141° 22

23 57°14' -40' 136° 56°31' -41' 137° 55°46' -42' 138° 55°01' -43' 139° 54°15' -44' 140° 53°29' -44' 141° 52°42' -45' 142° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 67°00' -01' 90° 66°59' -04' 92° 66°55' -07' 95° 66°49' -09' 97° 66°40' -12' 99° 66°29' -14' 102° 66°16' -17' 104° 0

1 66°59' -04' 93° 66°55' -06' 95° 66°49' -09' 97° 66°40' -12' 100° 66°29' -14' 102° 66°15' -16' 104° 66°00' -19' 106° 1

2 66°55' -06' 95° 66°49' -09' 97° 66°40' -11' 100° 66°28' -14' 102° 66°15' -16' 104° 65°59' -19' 106° 65°41' -21' 109° 2

3 66°49' -09' 98° 66°40' -11' 100° 66°28' -14' 102° 66°14' -16' 104° 65°58' -18' 107° 65°40' -21' 109° 65°20' -23' 111° 3

4 66°40' -11' 100° 66°29' -13' 102° 66°15' -16' 105° 65°58' -18' 107° 65°40' -20' 109° 65°19' -23' 111° 64°57' -25' 113° 4

5 66°29' -13' 103° 66°15' -16' 105° 65°59' -18' 107° 65°40' -20' 109° 65°19' -22' 111° 64°57' -25' 113° 64°32' -27' 115° 5

6 66°16' -15' 105° 66°00' -18' 107° 65°41' -20' 109° 65°20' -22' 111° 64°57' -24' 113° 64°32' -26' 115° 64°06' -28' 117° 6

7 66°01' -18' 107° 65°42' -20' 110° 65°21' -22' 112° 64°58' -24' 114° 64°33' -26' 116° 64°06' -28' 117° 63°37' -30' 119° 7

8 65°43' -20' 110° 65°22' -22' 112° 64°59' -24' 114° 64°33' -26' 116° 64°06' -28' 118° 63°38' -30' 119° 63°08' -31' 121° 8

9 65°23' -22' 112° 65°00' -24' 114° 64°35' -26' 116° 64°07' -28' 118° 63°39' -30' 120° 63°08' -31' 121° 62°36' -33' 123° 9

10 65°02' -24' 114° 64°36' -26' 116° 64°09' -28' 118° 63°40' -29' 120° 63°09' -31' 122° 62°37' -33' 123° 62°03' -34' 125° 10

11 64°38' -26' 116° 64°10' -27' 118° 63°41' -29' 120° 63°10' -31' 122° 62°38' -33' 123° 62°04' -34' 125° 61°29' -35' 127° 11

12 64°13' -27' 119° 63°43' -29' 120° 63°12' -31' 122° 62°39' -32' 124° 62°05' -34' 125° 61°30' -35' 127° 60°54' -37' 128° 12

13 63°45' -29' 121° 63°14' -31' 122° 62°41' -32' 124° 62°07' -34' 126° 61°32' -35' 127° 60°55' -37' 128° 60°17' -38' 130° 13

14 63°16' -30' 123° 62°43' -32' 124° 62°09' -34' 126° 61°33' -35' 127° 60°56' -36' 129° 60°18' -38' 130° 59°39' -39' 131° 14

15 62°46' -32' 124° 62°11' -33' 126° 61°35' -35' 128° 60°58' -36' 129° 60°20' -38' 130° 59°41' -39' 132° 59°00' -40' 133° 15

16 62°14' -33' 126° 61°38' -35' 128° 61°00' -36' 129° 60°22' -37' 131° 59°42' -39' 132° 59°02' -40' 133° 58°20' -41' 134° 16

17 61°41' -35' 128° 61°03' -36' 129° 60°24' -37' 131° 59°45' -38' 132° 59°04' -40' 133° 58°22' -41' 135° 57°40' -42' 136° 17

18 61°06' -36' 130° 60°27' -37' 131° 59°47' -38' 132° 59°06' -40' 134° 58°24' -41' 135° 57°42' -42' 136° 56°58' -42' 137° 18

19 60°30' -37' 131° 59°50' -38' 133° 59°09' -39' 134° 58°27' -40' 135° 57°44' -41' 136° 57°00' -42' 137° 56°16' -43' 138° 19

20 59°53' -38' 133° 59°12' -39' 134° 58°29' -40' 135° 57°46' -41' 136° 57°02' -42' 138° 56°18' -43' 139° 55°32' -44' 140° 20

21 59°15' -39' 134° 58°32' -40' 136° 57°49' -41' 137° 57°05' -42' 138° 56°20' -43' 139° 55°34' -44' 140° 54°48' -45' 141° 21

22 58°36' -40' 136° 57°52' -41' 137° 57°08' -42' 138° 56°23' -43' 139° 55°37' -44' 140° 54°51' -45' 141° 54°04' -45' 142° 22

23 57°55' -41' 137° 57°11' -42' 138° 56°26' -43' 139° 55°40' -44' 140° 54°53' -44' 141° 54°06' -45' 142° 53°18' -46' 143° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

24° 336° LHA Latitude CONTRARY to Declination 24° 336° LHA

24° 336° LHA Latitude CONTRARY to DECLINATION 24° 336° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

23° 337° LHA Latitude CONTRARY to Declination 23° 337° LHA

23° 337° LHA Latitude CONTRARY to DECLINATION 23° 337° LHA

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Page 82: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 68°00' -01' 90° 67°59' -04' 92° 67°55' -07' 95° 67°48' -10' 97° 67°39' -12' 100° 67°28' -15' 102° 67°14' -17' 105° 0

1 67°59' -04' 93° 67°55' -07' 95° 67°48' -09' 98° 67°39' -12' 100° 67°27' -15' 102° 67°13' -17' 105° 66°57' -20' 107° 1

2 67°55' -06' 95° 67°48' -09' 98° 67°39' -12' 100° 67°27' -14' 103° 67°13' -17' 105° 66°56' -19' 107° 66°37' -22' 109° 2

3 67°48' -09' 98° 67°39' -12' 100° 67°27' -14' 103° 67°12' -17' 105° 66°56' -19' 107° 66°37' -22' 110° 66°16' -24' 112° 3

4 67°39' -11' 101° 67°27' -14' 103° 67°13' -17' 105° 66°56' -19' 108° 66°36' -21' 110° 66°15' -24' 112° 65°52' -26' 114° 4

5 67°28' -14' 103° 67°13' -16' 105° 66°56' -19' 108° 66°37' -21' 110° 66°15' -23' 112° 65°52' -26' 114° 65°26' -28' 116° 5

6 67°14' -16' 106° 66°57' -19' 108° 66°37' -21' 110° 66°16' -23' 112° 65°52' -25' 114° 65°26' -27' 116° 64°59' -29' 118° 6

7 66°58' -18' 108° 66°38' -21' 110° 66°16' -23' 112° 65°52' -25' 115° 65°26' -27' 117° 64°59' -29' 118° 64°29' -31' 120° 7

8 66°40' -21' 111° 66°17' -23' 113° 65°53' -25' 115° 65°27' -27' 117° 64°59' -29' 119° 64°30' -31' 121° 63°58' -32' 122° 8

9 66°19' -23' 113° 65°55' -25' 115° 65°28' -27' 117° 65°00' -29' 119° 64°30' -31' 121° 63°59' -32' 122° 63°26' -34' 124° 9

10 65°56' -25' 115° 65°30' -27' 117° 65°01' -29' 119° 64°31' -30' 121° 64°00' -32' 123° 63°27' -34' 124° 62°52' -35' 126° 10

11 65°32' -27' 117° 65°03' -28' 119° 64°33' -30' 121° 64°01' -32' 123° 63°28' -34' 125° 62°53' -35' 126° 62°17' -37' 128° 11

12 65°05' -28' 120° 64°35' -30' 121° 64°03' -32' 123° 63°29' -33' 125° 62°54' -35' 126° 62°18' -36' 128° 61°40' -38' 129° 12

13 64°37' -30' 122° 64°04' -32' 123° 63°31' -33' 125° 62°55' -35' 127° 62°19' -36' 128° 61°41' -38' 130° 61°02' -39' 131° 13

14 64°07' -32' 124° 63°33' -33' 125° 62°57' -35' 127° 62°21' -36' 128° 61°43' -37' 130° 61°04' -39' 131° 60°24' -40' 133° 14

15 63°35' -33' 126° 62°59' -35' 127° 62°23' -36' 129° 61°44' -37' 130° 61°05' -39' 132° 60°25' -40' 133° 59°44' -41' 134° 15

16 63°02' -35' 127° 62°25' -36' 129° 61°47' -37' 130° 61°07' -39' 132° 60°27' -40' 133° 59°45' -41' 134° 59°03' -42' 136° 16

17 62°27' -36' 129° 61°49' -37' 131° 61°09' -38' 132° 60°29' -40' 133° 59°47' -41' 135° 59°04' -42' 136° 58°21' -43' 137° 17

18 61°52' -37' 131° 61°12' -38' 132° 60°31' -39' 134° 59°49' -41' 135° 59°06' -42' 136° 58°23' -43' 137° 57°38' -43' 138° 18

19 61°15' -38' 133° 60°33' -39' 134° 59°51' -40' 135° 59°08' -42' 136° 58°25' -42' 137° 57°40' -43' 139° 56°55' -44' 140° 19

20 60°36' -39' 134° 59°54' -40' 135° 59°11' -41' 137° 58°27' -42' 138° 57°42' -43' 139° 56°57' -44' 140° 56°11' -45' 141° 20

21 59°57' -40' 136° 59°14' -41' 137° 58°30' -42' 138° 57°45' -43' 139° 56°59' -44' 140° 56°13' -45' 141° 55°26' -46' 142° 21

22 59°17' -41' 137° 58°32' -42' 138° 57°47' -43' 139° 57°01' -44' 140° 56°15' -45' 141° 55°28' -45' 142° 54°40' -46' 143° 22

23 58°36' -42' 139° 57°50' -43' 140° 57°04' -44' 141° 56°17' -45' 142° 55°30' -45' 142° 54°42' -46' 143° 53°54' -47' 144° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 69°00' -01' 90° 68°59' -04' 93° 68°55' -07' 95° 68°48' -10' 98° 68°38' -13' 100° 68°26' -15' 103° 68°12' -18' 105° 0

1 68°59' -04' 93° 68°54' -07' 95° 68°47' -10' 98° 68°38' -13' 100° 68°26' -15' 103° 68°11' -18' 105° 67°54' -20' 108° 1

2 68°55' -07' 96° 68°47' -10' 98° 68°38' -12' 101° 68°25' -15' 103° 68°10' -18' 106° 67°53' -20' 108° 67°33' -23' 110° 2

3 68°48' -09' 98° 68°38' -12' 101° 68°25' -15' 103° 68°10' -18' 106° 67°53' -20' 108° 67°33' -22' 110° 67°11' -25' 113° 3

4 68°38' -12' 101° 68°26' -15' 104° 68°10' -17' 106° 67°53' -20' 108° 67°33' -22' 111° 67°10' -25' 113° 66°46' -27' 115° 4

5 68°26' -15' 104° 68°11' -17' 106° 67°53' -20' 109° 67°33' -22' 111° 67°10' -24' 113° 66°46' -27' 115° 66°19' -29' 117° 5

6 68°12' -17' 106° 67°54' -19' 109° 67°33' -22' 111° 67°11' -24' 113° 66°46' -26' 115° 66°19' -28' 117° 65°51' -30' 119° 6

7 67°55' -19' 109° 67°34' -22' 111° 67°11' -24' 113° 66°47' -26' 116° 66°20' -28' 118° 65°51' -30' 120° 65°20' -32' 122° 7

8 67°36' -22' 111° 67°13' -24' 114° 66°47' -26' 116° 66°20' -28' 118° 65°51' -30' 120° 65°21' -32' 122° 64°48' -34' 124° 8

9 67°14' -24' 114° 66°49' -26' 116° 66°21' -28' 118° 65°52' -30' 120° 65°21' -32' 122° 64°49' -33' 124° 64°15' -35' 125° 9

10 66°50' -26' 116° 66°23' -28' 118° 65°54' -30' 120° 65°22' -32' 122° 64°50' -33' 124° 64°16' -35' 126° 63°40' -36' 127° 10

11 66°25' -28' 118° 65°55' -30' 120° 65°24' -31' 122° 64°51' -33' 124° 64°16' -35' 126° 63°41' -36' 128° 63°03' -38' 129° 11

12 65°57' -29' 121° 65°25' -31' 123° 64°52' -33' 124° 64°18' -35' 126° 63°42' -36' 128° 63°04' -38' 129° 62°26' -39' 131° 12

13 65°27' -31' 123° 64°54' -33' 125° 64°19' -34' 126° 63°43' -36' 128° 63°06' -37' 130° 62°27' -39' 131° 61°47' -40' 132° 13

14 64°56' -33' 125° 64°21' -34' 127° 63°45' -36' 128° 63°07' -37' 130° 62°28' -39' 131° 61°48' -40' 133° 61°07' -41' 134° 14

15 64°23' -34' 127° 63°47' -36' 128° 63°09' -37' 130° 62°30' -39' 131° 61°50' -40' 133° 61°08' -41' 134° 60°26' -42' 135° 15

16 63°49' -36' 129° 63°11' -37' 130° 62°32' -38' 132° 61°51' -40' 133° 61°10' -41' 134° 60°27' -42' 136° 59°44' -43' 137° 16

17 63°14' -37' 130° 62°34' -38' 132° 61°53' -40' 133° 61°12' -41' 135° 60°29' -42' 136° 59°45' -43' 137° 59°01' -44' 138° 17

18 62°37' -38' 132° 61°56' -39' 134° 61°14' -41' 135° 60°31' -42' 136° 59°47' -43' 137° 59°03' -44' 138° 58°17' -44' 140° 18

19 61°58' -39' 134° 61°16' -41' 135° 60°33' -42' 136° 59°49' -43' 138° 59°05' -44' 139° 58°19' -44' 140° 57°33' -45' 141° 19

20 61°19' -40' 135° 60°36' -42' 137° 59°52' -42' 138° 59°07' -43' 139° 58°21' -44' 140° 57°35' -45' 141° 56°48' -46' 142° 20

21 60°39' -41' 137° 59°54' -42' 138° 59°09' -43' 139° 58°23' -44' 140° 57°37' -45' 141° 56°50' -46' 142° 56°02' -47' 143° 21

22 59°57' -42' 138° 59°12' -43' 140° 58°26' -44' 141° 57°39' -45' 142° 56°52' -46' 143° 56°04' -46' 143° 55°15' -47' 144° 22

23 59°15' -43' 140° 58°29' -44' 141° 57°42' -45' 142° 56°54' -46' 143° 56°06' -46' 144° 55°17' -47' 145° 54°28' -48' 145° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

22° 338° LHA Latitude CONTRARY to DECLINATION 22° 338° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

21° 339° LHA Latitude CONTRARY to Declination 21° 339° LHA

21° 339° LHA Latitude CONTRARY to DECLINATION 21° 339° LHA

22° 338° LHA Latitude CONTRARY to Declination 22° 338° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 83: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 70°00' -01' 90° 69°59' -04' 93° 69°54' -08' 95° 69°47' -10' 98° 69°37' -13' 101° 69°25' -16' 103° 69°09' -19' 106° 0

1 69°59' -04' 93° 69°54' -07' 96° 69°47' -10' 98° 69°37' -13' 101° 69°24' -16' 104° 69°08' -19' 106° 68°50' -21' 109° 1

2 69°54' -07' 96° 69°47' -10' 99° 69°36' -13' 101° 69°23' -16' 104° 69°08' -18' 106° 68°50' -21' 109° 68°29' -24' 111° 2

3 69°47' -10' 99° 69°37' -13' 101° 69°23' -16' 104° 69°08' -18' 107° 68°49' -21' 109° 68°29' -23' 111° 68°06' -26' 114° 3

4 69°37' -13' 102° 69°24' -15' 104° 69°08' -18' 107° 68°49' -21' 109° 68°28' -23' 112° 68°05' -26' 114° 67°40' -28' 116° 4

5 69°25' -15' 104° 69°08' -18' 107° 68°50' -21' 109° 68°29' -23' 112° 68°05' -25' 114° 67°40' -28' 116° 67°12' -30' 118° 5

6 69°09' -18' 107° 68°50' -20' 110° 68°29' -23' 112° 68°06' -25' 114° 67°40' -27' 116° 67°12' -30' 119° 66°42' -31' 121° 6

7 68°51' -20' 110° 68°30' -23' 112° 68°06' -25' 114° 67°40' -27' 117° 67°12' -29' 119° 66°43' -31' 121° 66°11' -33' 123° 7

8 68°31' -23' 112° 68°07' -25' 115° 67°41' -27' 117° 67°13' -29' 119° 66°43' -31' 121° 66°11' -33' 123° 65°38' -35' 125° 8

9 68°09' -25' 115° 67°42' -27' 117° 67°14' -29' 119° 66°44' -31' 121° 66°12' -33' 123° 65°38' -35' 125° 65°03' -36' 127° 9

10 67°44' -27' 117° 67°15' -29' 119° 66°45' -31' 121° 66°13' -33' 123° 65°39' -34' 125° 65°04' -36' 127° 64°27' -38' 129° 10

11 67°17' -29' 120° 66°46' -31' 122° 66°14' -33' 124° 65°40' -34' 125° 65°05' -36' 127° 64°28' -37' 129° 63°49' -39' 130° 11

12 66°48' -31' 122° 66°16' -32' 124° 65°41' -34' 126° 65°06' -36' 127° 64°29' -37' 129° 63°50' -39' 131° 63°11' -40' 132° 12

13 66°18' -32' 124° 65°43' -34' 126° 65°07' -36' 128° 64°30' -37' 129° 63°51' -39' 131° 63°11' -40' 132° 62°31' -41' 134° 13

14 65°45' -34' 126° 65°09' -36' 128° 64°32' -37' 130° 63°53' -38' 131° 63°13' -40' 133° 62°32' -41' 134° 61°49' -42' 135° 14

15 65°11' -36' 128° 64°33' -37' 130° 63°54' -38' 131° 63°14' -40' 133° 62°33' -41' 134° 61°51' -42' 136° 61°07' -43' 137° 15

16 64°36' -37' 130° 63°56' -38' 132° 63°16' -40' 133° 62°35' -41' 134° 61°52' -42' 136° 61°09' -43' 137° 60°24' -44' 138° 16

17 63°59' -38' 132° 63°18' -40' 133° 62°36' -41' 135° 61°54' -42' 136° 61°10' -43' 137° 60°26' -44' 138° 59°40' -45' 140° 17

18 63°21' -39' 134° 62°39' -41' 135° 61°56' -42' 136° 61°12' -43' 138° 60°27' -44' 139° 59°42' -45' 140° 58°56' -45' 141° 18

19 62°41' -41' 135° 61°58' -42' 137° 61°14' -43' 138° 60°29' -44' 139° 59°44' -45' 140° 58°57' -45' 141° 58°10' -46' 142° 19

20 62°01' -42' 137° 61°16' -43' 138° 60°31' -44' 139° 59°46' -44' 140° 58°59' -45' 141° 58°12' -46' 142° 57°24' -47' 143° 20

21 61°19' -43' 138° 60°34' -44' 139° 59°48' -44' 141° 59°01' -45' 142° 58°14' -46' 143° 57°26' -47' 144° 56°37' -47' 145° 21

22 60°36' -43' 140° 59°50' -44' 141° 59°03' -45' 142° 58°16' -46' 143° 57°28' -47' 144° 56°39' -47' 145° 55°50' -48' 146° 22

23 59°53' -44' 141° 59°06' -45' 142° 58°18' -46' 143° 57°30' -47' 144° 56°41' -47' 145° 55°51' -48' 146° 55°02' -49' 147° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 71°00' -02' 90° 70°58' -05' 93° 70°54' -08' 96° 70°46' -11' 99° 70°36' -14' 101° 70°23' -17' 104° 70°07' -20' 107° 0

1 70°58' -05' 93° 70°54' -08' 96° 70°46' -11' 99° 70°35' -14' 102° 70°22' -17' 104° 70°06' -20' 107° 69°47' -22' 110° 1

2 70°54' -08' 96° 70°46' -11' 99° 70°35' -14' 102° 70°22' -17' 105° 70°05' -19' 107° 69°46' -22' 110° 69°25' -25' 112° 2

3 70°46' -10' 99° 70°35' -13' 102° 70°22' -16' 105° 70°05' -19' 107° 69°46' -22' 110° 69°24' -24' 112° 69°00' -27' 115° 3

4 70°36' -13' 102° 70°22' -16' 105° 70°05' -19' 108° 69°46' -22' 110° 69°24' -24' 113° 69°00' -27' 115° 68°33' -29' 117° 4

5 70°23' -16' 105° 70°06' -19' 108° 69°46' -22' 110° 69°24' -24' 113° 69°00' -26' 115° 68°33' -29' 118° 68°04' -31' 120° 5

6 70°07' -19' 108° 69°47' -21' 110° 69°25' -24' 113° 69°00' -26' 115° 68°33' -29' 118° 68°04' -31' 120° 67°33' -33' 122° 6

7 69°48' -21' 111° 69°25' -24' 113° 69°01' -26' 116° 68°34' -28' 118° 68°05' -31' 120° 67°34' -33' 122° 67°01' -34' 124° 7

8 69°27' -24' 113° 69°02' -26' 116° 68°34' -28' 118° 68°05' -30' 120° 67°34' -32' 122° 67°01' -34' 124° 66°26' -36' 126° 8

9 69°03' -26' 116° 68°36' -28' 118° 68°06' -30' 120° 67°35' -32' 123° 67°02' -34' 125° 66°27' -36' 126° 65°50' -37' 128° 9

10 68°37' -28' 118° 68°07' -30' 121° 67°36' -32' 123° 67°03' -34' 125° 66°28' -36' 127° 65°51' -37' 128° 65°13' -39' 130° 10

11 68°09' -30' 121° 67°37' -32' 123° 67°04' -34' 125° 66°29' -36' 127° 65°52' -37' 129° 65°14' -39' 130° 64°34' -40' 132° 11

12 67°39' -32' 123° 67°05' -34' 125° 66°30' -35' 127° 65°53' -37' 129° 65°15' -39' 130° 64°35' -40' 132° 63°54' -41' 134° 12

13 67°07' -34' 125° 66°31' -35' 127° 65°54' -37' 129° 65°16' -38' 131° 64°36' -40' 132° 63°55' -41' 134° 63°13' -42' 135° 13

14 66°33' -35' 127° 65°56' -37' 129° 65°17' -38' 131° 64°37' -40' 133° 63°56' -41' 134° 63°14' -42' 135° 62°31' -43' 137° 14

15 65°58' -37' 129° 65°19' -38' 131° 64°39' -40' 133° 63°58' -41' 134° 63°15' -42' 136° 62°32' -43' 137° 61°48' -44' 138° 15

16 65°21' -38' 131° 64°41' -40' 133° 63°59' -41' 134° 63°17' -42' 136° 62°33' -43' 137° 61°49' -44' 139° 61°03' -45' 140° 16

17 64°43' -39' 133° 64°01' -41' 135° 63°19' -42' 136° 62°35' -43' 137° 61°50' -44' 139° 61°05' -45' 140° 60°18' -46' 141° 17

18 64°04' -41' 135° 63°21' -42' 136° 62°37' -43' 138° 61°52' -44' 139° 61°06' -45' 140° 60°20' -46' 141° 59°33' -47' 142° 18

19 63°23' -42' 137° 62°39' -43' 138° 61°54' -44' 139° 61°08' -45' 140° 60°21' -46' 142° 59°34' -46' 143° 58°46' -47' 144° 19

20 62°41' -43' 138° 61°56' -44' 139° 61°10' -45' 141° 60°23' -46' 142° 59°36' -46' 143° 58°48' -47' 144° 57°59' -48' 145° 20

21 61°58' -44' 140° 61°12' -45' 141° 60°25' -46' 142° 59°38' -46' 143° 58°49' -47' 144° 58°00' -48' 145° 57°11' -48' 146° 21

22 61°15' -45' 141° 60°28' -45' 142° 59°40' -46' 143° 58°51' -47' 144° 58°02' -48' 145° 57°13' -48' 146° 56°23' -49' 147° 22

23 60°30' -45' 143° 59°42' -46' 144° 58°53' -47' 145° 58°04' -48' 145° 57°15' -48' 146° 56°24' -49' 147° 55°34' -49' 148° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

19° 341° LHA Latitude CONTRARY to DECLINATION 19° 341° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

20° 340° LHA Latitude CONTRARY to Declination 20° 340° LHA

20° 340° LHA Latitude CONTRARY to DECLINATION 20° 340° LHA

19° 341° LHA Latitude CONTRARY to Declination 19° 341° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 84: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 72°00' -02' 90° 71°58' -05' 93° 71°54' -08' 96° 71°46' -12' 99° 71°35' -15' 102° 71°20' -18' 105° 71°03' -21' 108° 0

1 71°58' -05' 93° 71°53' -08' 96° 71°45' -11' 99° 71°34' -15' 102° 71°20' -18' 105° 71°03' -20' 108° 70°43' -23' 111° 1

2 71°54' -08' 96° 71°45' -11' 99° 71°34' -14' 102° 71°19' -17' 105° 71°02' -20' 108° 70°42' -23' 111° 70°20' -26' 113° 2

3 71°46' -11' 100° 71°34' -14' 103° 71°19' -17' 105° 71°02' -20' 108° 70°42' -23' 111° 70°19' -26' 114° 69°54' -28' 116° 3

4 71°35' -14' 103° 71°20' -17' 106° 71°02' -20' 108° 70°42' -23' 111° 70°19' -25' 114° 69°54' -28' 116° 69°26' -30' 119° 4

5 71°20' -17' 106° 71°03' -20' 109° 70°42' -23' 111° 70°19' -25' 114° 69°54' -28' 116° 69°26' -30' 119° 68°56' -32' 121° 5

6 71°03' -20' 109° 70°43' -22' 111° 70°20' -25' 114° 69°54' -28' 117° 69°26' -30' 119° 68°56' -32' 121° 68°24' -34' 123° 6

7 70°44' -22' 112° 70°20' -25' 114° 69°54' -27' 117° 69°26' -30' 119° 68°56' -32' 121° 68°24' -34' 124° 67°50' -36' 126° 7

8 70°21' -25' 114° 69°55' -27' 117° 69°27' -30' 119° 68°57' -32' 122° 68°24' -34' 124° 67°50' -36' 126° 67°14' -37' 128° 8

9 69°57' -27' 117° 69°28' -29' 120° 68°57' -32' 122° 68°25' -34' 124° 67°51' -35' 126° 67°14' -37' 128° 66°37' -39' 130° 9

10 69°29' -29' 120° 68°59' -31' 122° 68°26' -33' 124° 67°51' -35' 126° 67°15' -37' 128° 66°37' -39' 130° 65°58' -40' 132° 10

11 69°00' -31' 122° 68°27' -33' 124° 67°52' -35' 126° 67°16' -37' 128° 66°38' -38' 130° 65°59' -40' 132° 65°18' -41' 133° 11

12 68°29' -33' 125° 67°54' -35' 127° 67°17' -37' 128° 66°39' -38' 130° 66°00' -40' 132° 65°19' -41' 134° 64°37' -42' 135° 12

13 67°55' -35' 127° 67°19' -37' 129° 66°40' -38' 130° 66°01' -40' 132° 65°20' -41' 134° 64°38' -42' 135° 63°54' -43' 137° 13

14 67°20' -37' 129° 66°42' -38' 131° 66°02' -40' 132° 65°21' -41' 134° 64°39' -42' 136° 63°55' -43' 137° 63°11' -44' 138° 14

15 66°44' -38' 131° 66°04' -40' 133° 65°23' -41' 134° 64°40' -42' 136° 63°57' -43' 137° 63°12' -44' 139° 62°27' -45' 140° 15

16 66°06' -39' 133° 65°24' -41' 134° 64°42' -42' 136° 63°58' -43' 137° 63°13' -44' 139° 62°28' -45' 140° 61°41' -46' 141° 16

17 65°26' -41' 135° 64°43' -42' 136° 64°00' -43' 138° 63°15' -44' 139° 62°29' -45' 140° 61°43' -46' 141° 60°55' -47' 143° 17

18 64°45' -42' 136° 64°01' -43' 138° 63°16' -44' 139° 62°31' -45' 140° 61°44' -46' 142° 60°57' -47' 143° 60°08' -48' 144° 18

19 64°04' -43' 138° 63°18' -44' 139° 62°32' -45' 141° 61°46' -46' 142° 60°58' -47' 143° 60°10' -47' 144° 59°21' -48' 145° 19

20 63°21' -44' 140° 62°34' -45' 141° 61°47' -46' 142° 61°00' -47' 143° 60°11' -47' 144° 59°22' -48' 145° 58°33' -49' 146° 20

21 62°37' -45' 141° 61°49' -46' 142° 61°02' -47' 143° 60°13' -47' 144° 59°24' -48' 145° 58°34' -49' 146° 57°44' -49' 147° 21

22 61°52' -46' 143° 61°04' -47' 144° 60°15' -47' 145° 59°26' -48' 146° 58°36' -49' 147° 57°45' -49' 148° 56°55' -50' 148° 22

23 61°06' -47' 144° 60°17' -47' 145° 59°28' -48' 146° 58°38' -49' 147° 57°47' -49' 148° 56°56' -50' 149° 56°05' -50' 149° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 73°00' -02' 90° 72°58' -05' 93° 72°53' -09' 97° 72°45' -12' 100° 72°33' -16' 103° 72°18' -19' 106° 72°00' -22' 109° 0

1 72°58' -05' 93° 72°53' -09' 97° 72°44' -12' 100° 72°32' -15' 103° 72°17' -19' 106° 71°59' -22' 109° 71°38' -24' 112° 1

2 72°53' -08' 97° 72°44' -12' 100° 72°32' -15' 103° 72°17' -18' 106° 71°59' -21' 109° 71°38' -24' 112° 71°14' -27' 115° 2

3 72°45' -12' 100° 72°32' -15' 103° 72°17' -18' 106° 71°59' -21' 109° 71°38' -24' 112° 71°14' -27' 115° 70°47' -29' 117° 3

4 72°33' -15' 103° 72°17' -18' 107° 71°59' -21' 109° 71°38' -24' 112° 71°13' -27' 115° 70°47' -29' 118° 70°18' -31' 120° 4

5 72°18' -18' 107° 71°59' -21' 110° 71°38' -24' 112° 71°14' -26' 115° 70°47' -29' 118° 70°18' -31' 120° 69°46' -33' 123° 5

6 72°00' -21' 110° 71°38' -24' 113° 71°14' -26' 115° 70°47' -29' 118° 70°18' -31' 120° 69°46' -33' 123° 69°13' -35' 125° 6

7 71°39' -24' 113° 71°15' -26' 116° 70°48' -29' 118° 70°18' -31' 121° 69°47' -33' 123° 69°13' -35' 125° 68°38' -37' 127° 7

8 71°16' -26' 116° 70°49' -29' 118° 70°19' -31' 121° 69°47' -33' 123° 69°14' -35' 125° 68°38' -37' 127° 68°01' -39' 129° 8

9 70°50' -28' 118° 70°20' -31' 121° 69°48' -33' 123° 69°14' -35' 125° 68°38' -37' 128° 68°01' -38' 130° 67°22' -40' 131° 9

10 70°21' -31' 121° 69°49' -33' 123° 69°15' -35' 126° 68°39' -37' 128° 68°02' -38' 130° 67°23' -40' 132° 66°42' -41' 133° 10

11 69°50' -33' 124° 69°16' -35' 126° 68°40' -37' 128° 68°03' -38' 130° 67°23' -40' 132° 66°43' -41' 133° 66°01' -43' 135° 11

12 69°18' -35' 126° 68°41' -36' 128° 68°04' -38' 130° 67°24' -40' 132° 66°44' -41' 134° 66°02' -42' 135° 65°18' -44' 137° 12

13 68°43' -36' 128° 68°05' -38' 130° 67°25' -40' 132° 66°45' -41' 134° 66°02' -42' 135° 65°19' -44' 137° 64°35' -45' 138° 13

14 68°07' -38' 130° 67°27' -40' 132° 66°46' -41' 134° 66°04' -42' 136° 65°20' -43' 137° 64°36' -45' 139° 63°50' -46' 140° 14

15 67°29' -39' 133° 66°47' -41' 134° 66°05' -42' 136° 65°21' -43' 137° 64°37' -44' 139° 63°51' -45' 140° 63°05' -46' 141° 15

16 66°49' -41' 134° 66°06' -42' 136° 65°23' -43' 138° 64°38' -44' 139° 63°52' -45' 140° 63°06' -46' 142° 62°18' -47' 143° 16

17 66°08' -42' 136° 65°24' -43' 138° 64°39' -44' 139° 63°54' -45' 141° 63°07' -46' 142° 62°19' -47' 143° 61°31' -48' 144° 17

18 65°26' -43' 138° 64°41' -44' 139° 63°55' -45' 141° 63°08' -46' 142° 62°20' -47' 143° 61°32' -48' 144° 60°43' -49' 145° 18

19 64°43' -44' 140° 63°57' -45' 141° 63°10' -46' 142° 62°22' -47' 143° 61°33' -48' 145° 60°44' -49' 146° 59°54' -49' 147° 19

20 63°59' -45' 141° 63°12' -46' 142° 62°24' -47' 144° 61°35' -48' 145° 60°46' -48' 146° 59°56' -49' 147° 59°05' -50' 148° 20

21 63°14' -46' 143° 62°25' -47' 144° 61°37' -48' 145° 60°47' -48' 146° 59°57' -49' 147° 59°07' -50' 148° 58°16' -50' 149° 21

22 62°27' -47' 144° 61°39' -48' 145° 60°49' -48' 146° 59°59' -49' 147° 59°08' -50' 148° 58°17' -50' 149° 57°25' -51' 150° 22

23 61°41' -48' 145° 60°51' -48' 146° 60°01' -49' 147° 59°10' -50' 148° 58°18' -50' 149° 57°27' -51' 150° 56°35' -51' 151° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

18° 342° LHA Latitude CONTRARY to Declination 18° 342° LHA

18° 342° LHA Latitude CONTRARY to DECLINATION 18° 342° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

17° 343° LHA Latitude CONTRARY to Declination 17° 343° LHA

17° 343° LHA Latitude CONTRARY to DECLINATION 17° 343° LHA

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Page 85: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 74°00' -02' 90° 73°58' -06' 93° 73°53' -09' 97° 73°44' -13' 100° 73°31' -16' 104° 73°15' -20' 107° 72°56' -23' 110° 0

1 73°58' -05' 94° 73°53' -09' 97° 73°43' -13' 100° 73°31' -16' 104° 73°15' -20' 107° 72°56' -23' 110° 72°34' -26' 113° 1

2 73°53' -09' 97° 73°43' -13' 101° 73°31' -16' 104° 73°15' -19' 107° 72°55' -23' 110° 72°33' -25' 113° 72°08' -28' 116° 2

3 73°44' -12' 101° 73°31' -16' 104° 73°15' -19' 107° 72°55' -22' 110° 72°33' -25' 113° 72°08' -28' 116° 71°40' -31' 119° 3

4 73°31' -16' 104° 73°15' -19' 107° 72°55' -22' 111° 72°33' -25' 114° 72°07' -28' 116° 71°39' -30' 119° 71°09' -33' 122° 4

5 73°15' -19' 108° 72°56' -22' 111° 72°33' -25' 114° 72°08' -28' 117° 71°39' -30' 119° 71°09' -33' 122° 70°36' -35' 124° 5

6 72°56' -22' 111° 72°34' -25' 114° 72°08' -28' 117° 71°40' -30' 119° 71°09' -33' 122° 70°36' -35' 124° 70°01' -37' 127° 6

7 72°34' -25' 114° 72°09' -28' 117° 71°40' -30' 120° 71°09' -32' 122° 70°37' -35' 125° 70°02' -37' 127° 69°25' -38' 129° 7

8 72°09' -27' 117° 71°41' -30' 120° 71°10' -32' 122° 70°37' -35' 125° 70°02' -36' 127° 69°25' -38' 129° 68°46' -40' 131° 8

9 71°42' -30' 120° 71°11' -32' 122° 70°38' -34' 125° 70°02' -36' 127° 69°25' -38' 129° 68°47' -40' 131° 68°06' -41' 133° 9

10 71°12' -32' 123° 70°39' -34' 125° 70°03' -36' 127° 69°26' -38' 129° 68°47' -40' 131° 68°07' -41' 133° 67°25' -43' 135° 10

11 70°40' -34' 125° 70°04' -36' 127° 69°27' -38' 130° 68°48' -40' 132° 68°07' -41' 133° 67°26' -43' 135° 66°42' -44' 137° 11

12 70°06' -36' 128° 69°28' -38' 130° 68°49' -40' 132° 68°08' -41' 134° 67°26' -42' 135° 66°43' -44' 137° 65°59' -45' 139° 12

13 69°30' -38' 130° 68°50' -40' 132° 68°09' -41' 134° 67°27' -42' 136° 66°44' -44' 137° 65°59' -45' 139° 65°14' -46' 140° 13

14 68°52' -39' 132° 68°11' -41' 134° 67°28' -42' 136° 66°45' -44' 137° 66°00' -45' 139° 65°14' -46' 140° 64°28' -47' 142° 14

15 68°12' -41' 134° 67°30' -42' 136° 66°46' -44' 138° 66°01' -45' 139° 65°15' -46' 140° 64°29' -47' 142° 63°41' -48' 143° 15

16 67°31' -42' 136° 66°47' -43' 138° 66°03' -45' 139° 65°17' -46' 141° 64°30' -47' 142° 63°42' -47' 143° 62°54' -48' 144° 16

17 66°49' -43' 138° 66°04' -45' 139° 65°18' -46' 141° 64°31' -47' 142° 63°43' -47' 143° 62°55' -48' 145° 62°05' -49' 146° 17

18 66°06' -45' 140° 65°19' -46' 141° 64°32' -47' 142° 63°44' -47' 144° 62°56' -48' 145° 62°06' -49' 146° 61°16' -50' 147° 18

19 65°21' -46' 141° 64°34' -46' 143° 63°46' -47' 144° 62°57' -48' 145° 62°07' -49' 146° 61°17' -50' 147° 60°27' -50' 148° 19

20 64°36' -46' 143° 63°47' -47' 144° 62°58' -48' 145° 62°09' -49' 146° 61°19' -49' 147° 60°28' -50' 148° 59°37' -51' 149° 20

21 63°49' -47' 144° 63°00' -48' 145° 62°10' -49' 147° 61°20' -49' 148° 60°29' -50' 149° 59°38' -51' 149° 58°46' -51' 150° 21

22 63°02' -48' 146° 62°12' -49' 147° 61°22' -49' 148° 60°31' -50' 149° 59°39' -51' 150° 58°47' -51' 150° 57°55' -52' 151° 22

23 62°14' -49' 147° 61°23' -49' 148° 60°32' -50' 149° 59°41' -51' 150° 58°48' -51' 151° 57°56' -52' 151° 57°03' -52' 152° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 75°00' -02' 90° 74°58' -06' 94° 74°52' -10' 97° 74°43' -14' 101° 74°29' -17' 105° 74°12' -21' 108° 73°52' -24' 111° 0

1 74°58' -06' 94° 74°52' -10' 98° 74°42' -14' 101° 74°29' -17' 105° 74°12' -21' 108° 73°52' -24' 111° 73°28' -27' 115° 1

2 74°52' -10' 98° 74°42' -13' 101° 74°29' -17' 105° 74°12' -21' 108° 73°51' -24' 112° 73°28' -27' 115° 73°01' -30' 118° 2

3 74°43' -13' 101° 74°29' -17' 105° 74°12' -20' 108° 73°51' -24' 112° 73°27' -27' 115° 73°01' -30' 118° 72°31' -32' 121° 3

4 74°29' -17' 105° 74°12' -20' 109° 73°51' -24' 112° 73°27' -27' 115° 73°01' -29' 118° 72°31' -32' 121° 71°59' -34' 123° 4

5 74°12' -20' 109° 73°52' -23' 112° 73°28' -26' 115° 73°01' -29' 118° 72°31' -32' 121° 71°59' -34' 124° 71°25' -36' 126° 5

6 73°52' -23' 112° 73°28' -26' 115° 73°01' -29' 118° 72°31' -32' 121° 71°59' -34' 124° 71°25' -36' 126° 70°49' -38' 128° 6

7 73°29' -26' 115° 73°02' -29' 118° 72°32' -32' 121° 72°00' -34' 124° 71°25' -36' 126° 70°49' -38' 129° 70°11' -40' 131° 7

8 73°03' -29' 119° 72°33' -32' 121° 72°00' -34' 124° 71°26' -36' 126° 70°49' -38' 129° 70°11' -40' 131° 69°31' -41' 133° 8

9 72°34' -31' 121° 72°01' -34' 124° 71°26' -36' 127° 70°50' -38' 129° 70°11' -40' 131° 69°31' -41' 133° 68°49' -43' 135° 9

10 72°02' -34' 124° 71°27' -36' 127° 70°50' -38' 129° 70°12' -40' 131° 69°31' -41' 133° 68°50' -43' 135° 68°06' -44' 137° 10

11 71°28' -36' 127° 70°51' -38' 129° 70°13' -40' 131° 69°32' -41' 133° 68°50' -43' 135° 68°07' -44' 137° 67°22' -45' 139° 11

12 70°53' -38' 129° 70°14' -39' 132° 69°33' -41' 134° 68°51' -43' 135° 68°08' -44' 137° 67°23' -45' 139° 66°37' -46' 140° 12

13 70°15' -39' 132° 69°34' -41' 134° 68°52' -42' 136° 68°08' -44' 137° 67°24' -45' 139° 66°38' -46' 141° 65°51' -47' 142° 13

14 69°36' -41' 134° 68°53' -42' 136° 68°10' -44' 138° 67°25' -45' 139° 66°39' -46' 141° 65°52' -47' 142° 65°04' -48' 143° 14

15 68°55' -42' 136° 68°11' -44' 138° 67°26' -45' 139° 66°40' -46' 141° 65°53' -47' 142° 65°05' -48' 144° 64°16' -49' 145° 15

16 68°12' -44' 138° 67°27' -45' 140° 66°41' -46' 141° 65°54' -47' 142° 65°06' -48' 144° 64°17' -49' 145° 63°27' -49' 146° 16

17 67°29' -45' 140° 66°42' -46' 141° 65°55' -47' 143° 65°07' -48' 144° 64°18' -49' 145° 63°28' -49' 146° 62°38' -50' 147° 17

18 66°44' -46' 141° 65°56' -47' 143° 65°08' -48' 144° 64°19' -49' 145° 63°29' -49' 147° 62°39' -50' 148° 61°48' -51' 149° 18

19 65°58' -47' 143° 65°10' -48' 144° 64°20' -48' 146° 63°31' -49' 147° 62°40' -50' 148° 61°49' -51' 149° 60°57' -51' 150° 19

20 65°11' -48' 145° 64°22' -48' 146° 63°32' -49' 147° 62°41' -50' 148° 61°50' -51' 149° 60°59' -51' 150° 60°06' -52' 151° 20

21 64°23' -48' 146° 63°33' -49' 147° 62°43' -50' 148° 61°51' -50' 149° 61°00' -51' 150° 60°07' -52' 151° 59°15' -52' 152° 21

22 63°35' -49' 147° 62°44' -50' 148° 61°53' -50' 149° 61°01' -51' 150° 60°09' -52' 151° 59°16' -52' 152° 58°23' -52' 153° 22

23 62°46' -50' 149° 61°54' -50' 150° 61°02' -51' 151° 60°10' -52' 151° 59°17' -52' 152° 58°24' -52' 153° 57°30' -53' 154° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

16° 344° LHA Latitude CONTRARY to DECLINATION 16° 344° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

15° 345° LHA Latitude CONTRARY to Declination 15° 345° LHA

15° 345° LHA Latitude CONTRARY to DECLINATION 15° 345° LHA

16° 344° LHA Latitude CONTRARY to Declination 16° 344° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 86: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 76°00' -02' 90° 75°58' -06' 94° 75°52' -11' 98° 75°41' -15' 102° 75°27' -18' 106° 75°09' -22' 109° 74°48' -25' 113° 0

1 75°58' -06' 94° 75°52' -10' 98° 75°41' -15' 102° 75°27' -18' 106° 75°09' -22' 109° 74°47' -25' 113° 74°22' -28' 116° 1

2 75°52' -10' 98° 75°41' -14' 102° 75°27' -18' 106° 75°08' -22' 109° 74°47' -25' 113° 74°22' -28' 116° 73°54' -31' 119° 2

3 75°41' -14' 102° 75°27' -18' 106° 75°08' -22' 110° 74°46' -25' 113° 74°21' -28' 116° 73°53' -31' 119° 73°22' -34' 122° 3

4 75°27' -18' 106° 75°09' -22' 110° 74°47' -25' 113° 74°21' -28' 116° 73°53' -31' 120° 73°22' -34' 123° 72°49' -36' 125° 4

5 75°09' -22' 110° 74°47' -25' 113° 74°22' -28' 117° 73°53' -31' 120° 73°22' -33' 123° 72°49' -36' 125° 72°13' -38' 128° 5

6 74°48' -25' 113° 74°22' -28' 117° 73°54' -31' 120° 73°22' -33' 123° 72°49' -36' 125° 72°13' -38' 128° 71°35' -40' 130° 6

7 74°23' -28' 117° 73°54' -31' 120° 73°23' -33' 123° 72°49' -36' 126° 72°13' -38' 128° 71°35' -40' 131° 70°55' -41' 133° 7

8 73°55' -31' 120° 73°23' -33' 123° 72°50' -36' 126° 72°13' -38' 128° 71°35' -40' 131° 70°55' -41' 133° 70°14' -43' 135° 8

9 73°24' -33' 123° 72°50' -35' 126° 72°14' -38' 128° 71°36' -40' 131° 70°56' -41' 133° 70°14' -43' 135° 69°31' -44' 137° 9

10 72°51' -35' 126° 72°15' -38' 129° 71°36' -39' 131° 70°56' -41' 133° 70°14' -43' 135° 69°31' -44' 137° 68°47' -45' 139° 10

11 72°16' -37' 129° 71°37' -39' 131° 70°57' -41' 133° 70°15' -43' 135° 69°32' -44' 137° 68°47' -45' 139° 68°01' -46' 141° 11

12 71°38' -39' 131° 70°58' -41' 133° 70°16' -43' 136° 69°32' -44' 137° 68°48' -45' 139° 68°02' -46' 141° 67°15' -47' 142° 12

13 70°59' -41' 134° 70°17' -43' 136° 69°33' -44' 138° 68°48' -45' 139° 68°02' -46' 141° 67°15' -47' 142° 66°27' -48' 144° 13

14 70°18' -43' 136° 69°34' -44' 138° 68°49' -45' 139° 68°03' -46' 141° 67°16' -47' 143° 66°28' -48' 144° 65°39' -49' 145° 14

15 69°36' -44' 138° 68°50' -45' 140° 68°04' -46' 141° 67°17' -47' 143° 66°29' -48' 144° 65°40' -49' 145° 64°50' -50' 147° 15

16 68°52' -45' 140° 68°05' -46' 141° 67°18' -47' 143° 66°30' -48' 144° 65°40' -49' 146° 64°50' -50' 147° 64°00' -50' 148° 16

17 68°07' -46' 142° 67°19' -47' 143° 66°31' -48' 145° 65°41' -49' 146° 64°51' -50' 147° 64°01' -50' 148° 63°09' -51' 149° 17

18 67°20' -47' 143° 66°32' -48' 145° 65°42' -49' 146° 64°52' -50' 147° 64°02' -50' 148° 63°10' -51' 149° 62°18' -52' 150° 18

19 66°33' -48' 145° 65°44' -49' 146° 64°54' -50' 147° 64°03' -50' 148° 63°11' -51' 150° 62°19' -52' 150° 61°27' -52' 151° 19

20 65°45' -49' 146° 64°55' -50' 148° 64°04' -50' 149° 63°12' -51' 150° 62°20' -52' 151° 61°28' -52' 152° 60°35' -53' 152° 20

21 64°56' -50' 148° 64°05' -50' 149° 63°14' -51' 150° 62°21' -51' 151° 61°29' -52' 152° 60°36' -52' 153° 59°42' -53' 153° 21

22 64°07' -50' 149° 63°15' -51' 150° 62°23' -51' 151° 61°30' -52' 152° 60°37' -52' 153° 59°43' -53' 154° 58°49' -53' 154° 22

23 63°16' -51' 150° 62°24' -51' 151° 61°31' -52' 152° 60°38' -52' 153° 59°44' -53' 154° 58°50' -53' 155° 57°56' -54' 155° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 77°00' -02' 90° 76°58' -07' 94° 76°51' -11' 99° 76°40' -16' 103° 76°25' -20' 107° 76°05' -24' 111° 75°42' -27' 114° 0

1 76°58' -07' 94° 76°51' -11' 99° 76°40' -16' 103° 76°24' -20' 107° 76°05' -23' 111° 75°42' -27' 114° 75°15' -30' 118° 1

2 76°51' -11' 99° 76°40' -15' 103° 76°24' -20' 107° 76°05' -23' 111° 75°41' -27' 115° 75°15' -30' 118° 74°45' -33' 121° 2

3 76°40' -15' 103° 76°24' -19' 107° 76°05' -23' 111° 75°41' -27' 115° 75°15' -30' 118° 74°45' -33' 121° 74°12' -35' 124° 3

4 76°25' -19' 107° 76°05' -23' 111° 75°41' -27' 115° 75°15' -30' 118° 74°45' -33' 121° 74°12' -35' 124° 73°37' -38' 127° 4

5 76°05' -23' 111° 75°42' -26' 115° 75°15' -30' 118° 74°45' -33' 122° 74°12' -35' 125° 73°37' -38' 127° 72°59' -40' 130° 5

6 75°42' -26' 115° 75°15' -30' 118° 74°45' -32' 122° 74°12' -35' 125° 73°37' -37' 128° 72°59' -40' 130° 72°20' -41' 133° 6

7 75°16' -30' 119° 74°46' -32' 122° 74°13' -35' 125° 73°37' -37' 128° 72°59' -39' 130° 72°20' -41' 133° 71°38' -43' 135° 7

8 74°46' -32' 122° 74°13' -35' 125° 73°38' -37' 128° 73°00' -39' 130° 72°20' -41' 133° 71°38' -43' 135° 70°55' -44' 137° 8

9 74°14' -35' 125° 73°38' -37' 128° 73°00' -39' 131° 72°20' -41' 133° 71°39' -43' 135° 70°55' -44' 137° 70°11' -46' 139° 9

10 73°39' -37' 128° 73°01' -39' 131° 72°21' -41' 133° 71°39' -43' 135° 70°56' -44' 137° 70°11' -46' 139° 69°25' -47' 141° 10

11 73°02' -39' 131° 72°22' -41' 133° 71°40' -43' 135° 70°56' -44' 137° 70°11' -46' 139° 69°25' -47' 141° 68°38' -48' 143° 11

12 72°23' -41' 133° 71°41' -43' 136° 70°57' -44' 138° 70°12' -46' 139° 69°26' -47' 141° 68°39' -48' 143° 67°50' -49' 144° 12

13 71°42' -43' 136° 70°58' -44' 138° 70°13' -45' 140° 69°27' -47' 141° 68°39' -48' 143° 67°51' -49' 144° 67°02' -50' 146° 13

14 70°59' -44' 138° 70°14' -45' 140° 69°27' -47' 142° 68°40' -48' 143° 67°51' -49' 145° 67°02' -50' 146° 66°12' -50' 147° 14

15 70°15' -45' 140° 69°28' -47' 142° 68°41' -48' 143° 67°52' -49' 145° 67°03' -49' 146° 66°13' -50' 147° 65°22' -51' 149° 15

16 69°30' -47' 142° 68°42' -48' 143° 67°53' -49' 145° 67°04' -49' 146° 66°13' -50' 148° 65°22' -51' 149° 64°31' -52' 150° 16

17 68°43' -48' 144° 67°54' -49' 145° 67°05' -49' 146° 66°14' -50' 148° 65°23' -51' 149° 64°31' -52' 150° 63°39' -52' 151° 17

18 67°55' -49' 145° 67°06' -49' 147° 66°15' -50' 148° 65°24' -51' 149° 64°32' -51' 150° 63°40' -52' 151° 62°47' -53' 152° 18

19 67°07' -49' 147° 66°16' -50' 148° 65°25' -51' 149° 64°33' -51' 150° 63°41' -52' 151° 62°48' -53' 152° 61°55' -53' 153° 19

20 66°18' -50' 148° 65°26' -51' 149° 64°34' -51' 151° 63°42' -52' 152° 62°49' -53' 152° 61°55' -53' 153° 61°02' -53' 154° 20

21 65°27' -51' 150° 64°35' -51' 151° 63°43' -52' 152° 62°50' -52' 153° 61°56' -53' 153° 61°02' -53' 154° 60°08' -54' 155° 21

22 64°37' -51' 151° 63°44' -52' 152° 62°51' -52' 153° 61°57' -53' 154° 61°03' -53' 154° 60°09' -54' 155° 59°14' -54' 156° 22

23 63°45' -52' 152° 62°52' -52' 153° 61°58' -53' 154° 61°04' -53' 155° 60°10' -54' 155° 59°15' -54' 156° 58°20' -54' 157° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

13° 347° LHA Latitude CONTRARY to DECLINATION 13° 347° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

14° 346° LHA Latitude CONTRARY to Declination 14° 346° LHA

14° 346° LHA Latitude CONTRARY to DECLINATION 14° 346° LHA

13° 347° LHA Latitude CONTRARY to Declination 13° 347° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 87: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 78°00' -02' 90° 77°58' -07' 95° 77°50' -12' 99° 77°38' -17' 104° 77°22' -21' 108° 77°01' -25' 112° 76°36' -29' 116° 0

1 77°58' -07' 95° 77°50' -12' 99° 77°38' -17' 104° 77°21' -21' 108° 77°00' -25' 112° 76°36' -29' 116° 76°07' -32' 120° 1

2 77°50' -12' 100° 77°38' -17' 104° 77°21' -21' 108° 77°00' -25' 112° 76°35' -29' 116° 76°07' -32' 120° 75°36' -35' 123° 2

3 77°38' -17' 104° 77°21' -21' 108° 77°00' -25' 113° 76°35' -28' 116° 76°07' -32' 120° 75°35' -35' 123° 75°01' -37' 127° 3

4 77°22' -21' 109° 77°00' -25' 113° 76°35' -28' 117° 76°07' -32' 120° 75°35' -35' 124° 75°01' -37' 127° 74°24' -39' 130° 4

5 77°01' -25' 113° 76°36' -28' 117° 76°07' -32' 120° 75°35' -34' 124° 75°01' -37' 127° 74°23' -39' 130° 73°44' -41' 132° 5

6 76°36' -28' 117° 76°07' -31' 120° 75°36' -34' 124° 75°01' -37' 127° 74°24' -39' 130° 73°44' -41' 132° 73°03' -43' 135° 6

7 76°08' -31' 121° 75°36' -34' 124° 75°01' -37' 127° 74°24' -39' 130° 73°44' -41' 133° 73°03' -43' 135° 72°20' -45' 137° 7

8 75°37' -34' 124° 75°02' -37' 127° 74°24' -39' 130° 73°45' -41' 133° 73°03' -43' 135° 72°20' -45' 137° 71°35' -46' 139° 8

9 75°02' -37' 127° 74°25' -39' 130° 73°45' -41' 133° 73°03' -43' 135° 72°20' -45' 137° 71°35' -46' 139° 70°49' -47' 141° 9

10 74°26' -39' 130° 73°46' -41' 133° 73°04' -43' 135° 72°20' -44' 138° 71°35' -46' 140° 70°49' -47' 141° 70°02' -48' 143° 10

11 73°47' -41' 133° 73°05' -43' 135° 72°21' -44' 138° 71°36' -46' 140° 70°50' -47' 142° 70°02' -48' 143° 69°13' -49' 145° 11

12 73°06' -43' 136° 72°22' -44' 138° 71°37' -46' 140° 70°50' -47' 142° 70°02' -48' 143° 69°14' -49' 145° 68°24' -50' 146° 12

13 72°23' -44' 138° 71°37' -46' 140° 70°51' -47' 142° 70°03' -48' 144° 69°14' -49' 145° 68°25' -50' 147° 67°34' -51' 148° 13

14 71°38' -46' 140° 70°52' -47' 142° 70°04' -48' 144° 69°15' -49' 145° 68°25' -50' 147° 67°35' -51' 148° 66°43' -51' 149° 14

15 70°53' -47' 142° 70°05' -48' 144° 69°16' -49' 145° 68°26' -50' 147° 67°35' -51' 148° 66°44' -51' 149° 65°52' -52' 151° 15

16 70°06' -48' 144° 69°17' -49' 146° 68°27' -50' 147° 67°36' -51' 148° 66°45' -51' 150° 65°52' -52' 151° 65°00' -53' 152° 16

17 69°18' -49' 146° 68°28' -50' 147° 67°37' -51' 149° 66°45' -51' 150° 65°53' -52' 151° 65°00' -53' 152° 64°07' -53' 153° 17

18 68°29' -50' 147° 67°38' -51' 149° 66°46' -51' 150° 65°54' -52' 151° 65°01' -53' 152° 64°08' -53' 153° 63°14' -54' 154° 18

19 67°39' -51' 149° 66°47' -51' 150° 65°55' -52' 151° 65°02' -53' 152° 64°09' -53' 153° 63°15' -53' 154° 62°21' -54' 155° 19

20 66°48' -51' 150° 65°56' -52' 151° 65°03' -52' 152° 64°09' -53' 153° 63°16' -53' 154° 62°21' -54' 155° 61°27' -54' 156° 20

21 65°57' -52' 152° 65°04' -52' 153° 64°10' -53' 154° 63°16' -53' 154° 62°22' -54' 155° 61°28' -54' 156° 60°33' -55' 157° 21

22 65°05' -52' 153° 64°11' -53' 154° 63°17' -53' 155° 62°23' -54' 155° 61°28' -54' 156° 60°33' -55' 157° 59°38' -55' 158° 22

23 64°13' -53' 154° 63°18' -53' 155° 62°24' -54' 156° 61°29' -54' 156° 60°34' -55' 157° 59°39' -55' 158° 58°43' -55' 158° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 79°00' -03' 90° 78°57' -08' 95° 78°49' -13' 100° 78°36' -18' 105° 78°18' -23' 110° 77°56' -27' 114° 77°29' -31' 118° 0

1 78°57' -08' 95° 78°49' -13' 100° 78°36' -18' 105° 78°18' -23' 110° 77°55' -27' 114° 77°29' -31' 118° 76°59' -34' 122° 1

2 78°49' -13' 100° 78°36' -18' 105° 78°18' -23' 110° 77°55' -27' 114° 77°29' -30' 118° 76°58' -34' 122° 76°25' -37' 126° 2

3 78°36' -18' 105° 78°18' -23' 110° 77°55' -27' 114° 77°28' -30' 119° 76°58' -34' 122° 76°24' -37' 126° 75°48' -39' 129° 3

4 78°18' -22' 110° 77°55' -27' 115° 77°29' -30' 119° 76°58' -34' 122° 76°24' -37' 126° 75°48' -39' 129° 75°09' -41' 132° 4

5 77°56' -27' 115° 77°29' -30' 119° 76°58' -34' 123° 76°24' -36' 126° 75°48' -39' 129° 75°09' -41' 132° 74°27' -43' 135° 5

6 77°29' -30' 119° 76°59' -33' 123° 76°25' -36' 126° 75°48' -39' 129° 75°09' -41' 132° 74°27' -43' 135° 73°44' -45' 137° 6

7 76°59' -33' 123° 76°25' -36' 126° 75°48' -39' 129° 75°09' -41' 132° 74°27' -43' 135° 73°44' -45' 137° 72°59' -46' 140° 7

8 76°26' -36' 126° 75°49' -39' 130° 75°09' -41' 132° 74°28' -43' 135° 73°44' -45' 138° 72°59' -46' 140° 72°13' -48' 142° 8

9 75°49' -39' 130° 75°10' -41' 133° 74°28' -43' 135° 73°45' -45' 138° 73°00' -46' 140° 72°13' -48' 142° 71°25' -49' 144° 9

10 75°11' -41' 133° 74°29' -43' 135° 73°45' -45' 138° 73°00' -46' 140° 72°13' -48' 142° 71°25' -49' 144° 70°36' -50' 146° 10

11 74°30' -43' 136° 73°46' -45' 138° 73°00' -46' 140° 72°14' -47' 142° 71°26' -49' 144° 70°37' -50' 146° 69°47' -51' 147° 11

12 73°47' -45' 138° 73°01' -46' 140° 72°14' -47' 142° 71°26' -49' 144° 70°37' -50' 146° 69°47' -51' 147° 68°56' -51' 149° 12

13 73°02' -46' 140° 72°15' -47' 142° 71°27' -49' 144° 70°38' -50' 146° 69°48' -50' 147° 68°57' -51' 149° 68°05' -52' 150° 13

14 72°16' -47' 143° 71°28' -49' 144° 70°38' -50' 146° 69°48' -50' 148° 68°57' -51' 149° 68°05' -52' 150° 67°13' -53' 151° 14

15 71°28' -49' 145° 70°39' -50' 146° 69°49' -50' 148° 68°58' -51' 149° 68°06' -52' 150° 67°13' -53' 152° 66°20' -53' 153° 15

16 70°40' -50' 146° 69°50' -50' 148° 68°58' -51' 149° 68°06' -52' 151° 67°14' -53' 152° 66°21' -53' 153° 65°27' -54' 154° 16

17 69°50' -50' 148° 68°59' -51' 149° 68°07' -52' 151° 67°15' -53' 152° 66°21' -53' 153° 65°28' -54' 154° 64°34' -54' 155° 17

18 69°00' -51' 150° 68°08' -52' 151° 67°15' -52' 152° 66°22' -53' 153° 65°28' -54' 154° 64°34' -54' 155° 63°40' -54' 156° 18

19 68°09' -52' 151° 67°16' -52' 152° 66°23' -53' 153° 65°29' -54' 154° 64°35' -54' 155° 63°40' -54' 156° 62°45' -55' 157° 19

20 67°17' -52' 152° 66°24' -53' 153° 65°30' -54' 154° 64°35' -54' 155° 63°41' -54' 156° 62°46' -55' 157° 61°50' -55' 158° 20

21 66°25' -53' 154° 65°31' -54' 155° 64°36' -54' 155° 63°41' -54' 156° 62°46' -55' 157° 61°51' -55' 158° 60°55' -55' 158° 21

22 65°32' -53' 155° 64°37' -54' 156° 63°42' -54' 156° 62°47' -55' 157° 61°52' -55' 158° 60°56' -55' 159° 60°00' -56' 159° 22

23 64°38' -54' 156° 63°43' -54' 157° 62°48' -55' 157° 61°52' -55' 158° 60°57' -55' 159° 60°01' -56' 159° 59°04' -56' 160° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

12° 348° LHA Latitude CONTRARY to Declination 12° 348° LHA

12° 348° LHA Latitude CONTRARY to DECLINATION 12° 348° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

11° 349° LHA Latitude CONTRARY to Declination 11° 349° LHA

11° 349° LHA Latitude CONTRARY to DECLINATION 11° 349° LHA

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Page 88: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 80°00' -03' 90° 79°57' -09' 96° 79°48' -15' 101° 79°34' -20' 107° 79°14' -25' 112° 78°50' -29' 116° 78°21' -33' 121° 0

1 79°57' -09' 96° 79°48' -14' 101° 79°34' -20' 107° 79°14' -25' 112° 78°50' -29' 116° 78°21' -33' 121° 77°48' -36' 125° 1

2 79°48' -14' 101° 79°34' -20' 107° 79°14' -25' 112° 78°49' -29' 116° 78°21' -33' 121° 77°48' -36' 125° 77°12' -39' 128° 2

3 79°34' -20' 107° 79°14' -24' 112° 78°49' -29' 117° 78°21' -33' 121° 77°48' -36' 125° 77°12' -39' 128° 76°33' -41' 132° 3

4 79°14' -24' 112° 78°50' -29' 117° 78°21' -33' 121° 77°48' -36' 125° 77°12' -39' 129° 76°33' -41' 132° 75°52' -43' 135° 4

5 78°50' -29' 117° 78°21' -32' 121° 77°48' -36' 125° 77°12' -39' 129° 76°33' -41' 132° 75°52' -43' 135° 75°09' -45' 138° 5

6 78°21' -32' 121° 77°48' -36' 125° 77°12' -39' 129° 76°33' -41' 132° 75°52' -43' 135° 75°09' -45' 138° 74°23' -47' 140° 6

7 77°49' -36' 125° 77°13' -39' 129° 76°34' -41' 132° 75°52' -43' 135° 75°09' -45' 138° 74°24' -47' 140° 73°37' -48' 142° 7

8 77°13' -39' 129° 76°34' -41' 132° 75°53' -43' 135° 75°09' -45' 138° 74°24' -47' 140° 73°37' -48' 142° 72°49' -49' 144° 8

9 76°35' -41' 132° 75°53' -43' 135° 75°09' -45' 138° 74°24' -47' 140° 73°37' -48' 143° 72°49' -49' 145° 71°59' -50' 146° 9

10 75°54' -43' 135° 75°10' -45' 138° 74°24' -47' 140° 73°37' -48' 143° 72°49' -49' 145° 72°00' -50' 146° 71°09' -51' 148° 10

11 75°11' -45' 138° 74°25' -47' 141° 73°38' -48' 143° 72°49' -49' 145° 72°00' -50' 147° 71°09' -51' 148° 70°18' -52' 150° 11

12 74°26' -47' 141° 73°38' -48' 143° 72°50' -49' 145° 72°00' -50' 147° 71°10' -51' 148° 70°18' -52' 150° 69°26' -53' 151° 12

13 73°39' -48' 143° 72°51' -49' 145° 72°01' -50' 147° 71°10' -51' 148° 70°19' -52' 150° 69°26' -53' 151° 68°34' -53' 152° 13

14 72°51' -49' 145° 72°01' -50' 147° 71°11' -51' 149° 70°19' -52' 150° 69°27' -53' 151° 68°34' -53' 153° 67°40' -54' 154° 14

15 72°02' -50' 147° 71°11' -51' 149° 70°20' -52' 150° 69°27' -52' 151° 68°34' -53' 153° 67°41' -54' 154° 66°47' -54' 155° 15

16 71°12' -51' 149° 70°20' -52' 150° 69°28' -52' 152° 68°35' -53' 153° 67°41' -54' 154° 66°47' -54' 155° 65°53' -55' 156° 16

17 70°21' -52' 150° 69°29' -52' 152° 68°35' -53' 153° 67°42' -54' 154° 66°48' -54' 155° 65°53' -55' 156° 64°58' -55' 157° 17

18 69°29' -52' 152° 68°36' -53' 153° 67°42' -54' 154° 66°48' -54' 155° 65°53' -55' 156° 64°58' -55' 157° 64°03' -55' 158° 18

19 68°37' -53' 153° 67°43' -54' 154° 66°49' -54' 155° 65°54' -55' 156° 64°59' -55' 157° 64°03' -55' 158° 63°08' -56' 159° 19

20 67°44' -54' 154° 66°49' -54' 156° 65°55' -55' 156° 65°00' -55' 157° 64°04' -55' 158° 63°08' -56' 159° 62°12' -56' 160° 20

21 66°50' -54' 156° 65°55' -54' 157° 65°00' -55' 157° 64°05' -55' 158° 63°09' -56' 159° 62°13' -56' 160° 61°16' -56' 160° 21

22 65°56' -54' 157° 65°01' -55' 158° 64°05' -55' 158° 63°09' -56' 159° 62°13' -56' 160° 61°17' -56' 160° 60°20' -56' 161° 22

23 65°02' -55' 158° 64°06' -55' 159° 63°10' -56' 159° 62°14' -56' 160° 61°17' -56' 161° 60°21' -56' 161° 59°24' -57' 162° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 81°00' -03' 90° 80°57' -10' 96° 80°47' -16' 102° 80°31' -22' 108° 80°09' -27' 114° 79°43' -31' 119° 79°12' -35' 123° 0

1 80°57' -10' 96° 80°47' -16' 103° 80°31' -22' 108° 80°09' -27' 114° 79°43' -31' 119° 79°11' -35' 123° 78°37' -38' 128° 1

2 80°47' -16' 103° 80°31' -22' 108° 80°09' -27' 114° 79°42' -31' 119° 79°11' -35' 124° 78°36' -38' 128° 77°58' -41' 131° 2

3 80°31' -22' 109° 80°09' -27' 114° 79°42' -31' 119° 79°11' -35' 124° 78°36' -38' 128° 77°58' -41' 131° 77°17' -44' 135° 3

4 80°09' -27' 114° 79°43' -31' 119° 79°11' -35' 124° 78°36' -38' 128° 77°58' -41' 132° 77°17' -43' 135° 76°33' -46' 138° 4

5 79°43' -31' 119° 79°11' -35' 124° 78°36' -38' 128° 77°58' -41' 132° 77°17' -43' 135° 76°33' -45' 138° 75°48' -47' 141° 5

6 79°12' -35' 124° 78°37' -38' 128° 77°58' -41' 132° 77°17' -43' 135° 76°33' -45' 138° 75°48' -47' 141° 75°01' -49' 143° 6

7 78°37' -38' 128° 77°58' -41' 132° 77°17' -43' 135° 76°33' -45' 138° 75°48' -47' 141° 75°01' -49' 143° 74°12' -50' 145° 7

8 77°59' -41' 132° 77°17' -43' 135° 76°34' -45' 138° 75°48' -47' 141° 75°01' -49' 143° 74°12' -50' 145° 73°22' -51' 147° 8

9 77°18' -43' 135° 76°34' -45' 138° 75°48' -47' 141° 75°01' -48' 143° 74°12' -50' 145° 73°22' -51' 147° 72°31' -52' 149° 9

10 76°35' -45' 138° 75°49' -47' 141° 75°01' -48' 143° 74°13' -50' 146° 73°23' -51' 147° 72°31' -52' 149° 71°40' -53' 151° 10

11 75°49' -47' 141° 75°02' -48' 144° 74°13' -50' 146° 73°23' -51' 148° 72°32' -52' 149° 71°40' -52' 151° 70°47' -53' 152° 11

12 75°02' -48' 144° 74°13' -50' 146° 73°23' -51' 148° 72°32' -52' 149° 71°40' -52' 151° 70°47' -53' 152° 69°54' -54' 154° 12

13 74°14' -50' 146° 73°24' -51' 148° 72°33' -52' 149° 71°40' -52' 151° 70°48' -53' 152° 69°54' -54' 154° 69°00' -54' 155° 13

14 73°24' -51' 148° 72°33' -52' 150° 71°41' -52' 151° 70°48' -53' 153° 69°54' -54' 154° 69°00' -54' 155° 68°06' -55' 156° 14

15 72°34' -52' 150° 71°41' -52' 151° 70°48' -53' 153° 69°55' -54' 154° 69°01' -54' 155° 68°06' -55' 156° 67°11' -55' 157° 15

16 71°42' -52' 151° 70°49' -53' 153° 69°55' -54' 154° 69°01' -54' 155° 68°06' -55' 156° 67°11' -55' 157° 66°16' -56' 158° 16

17 70°50' -53' 153° 69°56' -54' 154° 69°02' -54' 155° 68°07' -55' 156° 67°12' -55' 157° 66°16' -55' 158° 65°20' -56' 159° 17

18 69°57' -54' 154° 69°02' -54' 155° 68°07' -55' 156° 67°12' -55' 157° 66°17' -55' 158° 65°21' -56' 159° 64°25' -56' 160° 18

19 69°03' -54' 156° 68°08' -55' 157° 67°13' -55' 158° 66°17' -55' 158° 65°21' -56' 159° 64°25' -56' 160° 63°28' -56' 161° 19

20 68°09' -55' 157° 67°13' -55' 158° 66°18' -55' 159° 65°22' -56' 159° 64°25' -56' 160° 63°29' -56' 161° 62°32' -57' 161° 20

21 67°14' -55' 158° 66°18' -55' 159° 65°22' -56' 159° 64°26' -56' 160° 63°29' -56' 161° 62°32' -57' 162° 61°35' -57' 162° 21

22 66°19' -55' 159° 65°23' -56' 160° 64°26' -56' 160° 63°30' -56' 161° 62°33' -57' 162° 61°36' -57' 162° 60°39' -57' 163° 22

23 65°23' -56' 160° 64°27' -56' 160° 63°30' -56' 161° 62°33' -57' 162° 61°36' -57' 162° 60°39' -57' 163° 59°42' -57' 163° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

10° 350° LHA Latitude CONTRARY to DECLINATION 10° 350° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

9° 351° LHA Latitude CONTRARY to Declination 9° 351° LHA

9° 351° LHA Latitude CONTRARY to DECLINATION 9° 351° LHA

10° 350° LHA Latitude CONTRARY to Declination 10° 350° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 89: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 82°00' -04' 90° 81°56' -11' 97° 81°45' -18' 104° 81°28' -24' 110° 81°04' -29' 116° 80°34' -34' 122° 80°01' -38' 127° 0

1 81°56' -11' 97° 81°45' -18' 104° 81°27' -24' 110° 81°03' -29' 116° 80°34' -34' 122° 80°00' -38' 127° 79°23' -41' 131° 1

2 81°45' -18' 104° 81°27' -24' 111° 81°03' -29' 117° 80°34' -34' 122° 80°00' -38' 127° 79°23' -41' 131° 78°42' -44' 135° 2

3 81°28' -24' 111° 81°03' -29' 117° 80°34' -34' 122° 80°00' -38' 127° 79°22' -41' 131° 78°42' -44' 135° 77°58' -46' 138° 3

4 81°04' -29' 117° 80°34' -34' 122° 80°00' -38' 127° 79°22' -41' 131° 78°41' -44' 135° 77°58' -46' 138° 77°12' -48' 141° 4

5 80°34' -34' 122° 80°00' -38' 127° 79°23' -41' 131° 78°42' -44' 135° 77°58' -46' 138° 77°12' -48' 141° 76°24' -49' 144° 5

6 80°01' -38' 127° 79°23' -41' 131° 78°42' -44' 135° 77°58' -46' 138° 77°12' -48' 141° 76°24' -49' 144° 75°35' -50' 146° 6

7 79°23' -41' 131° 78°42' -43' 135° 77°58' -46' 138° 77°12' -48' 141° 76°24' -49' 144° 75°35' -50' 146° 74°45' -52' 148° 7

8 78°42' -43' 135° 77°58' -46' 139° 77°12' -48' 142° 76°25' -49' 144° 75°35' -50' 146° 74°45' -51' 148° 73°53' -52' 150° 8

9 77°59' -46' 139° 77°13' -48' 142° 76°25' -49' 144° 75°36' -50' 146° 74°45' -51' 148° 73°53' -52' 150° 73°01' -53' 152° 9

10 77°13' -47' 142° 76°25' -49' 144° 75°36' -50' 147° 74°45' -51' 149° 73°53' -52' 150° 73°01' -53' 152° 72°08' -54' 153° 10

11 76°26' -49' 144° 75°36' -50' 147° 74°45' -51' 149° 73°54' -52' 150° 73°01' -53' 152° 72°08' -54' 154° 71°14' -54' 155° 11

12 75°37' -50' 147° 74°46' -51' 149° 73°54' -52' 151° 73°01' -53' 152° 72°08' -54' 154° 71°14' -54' 155° 70°19' -55' 156° 12

13 74°46' -51' 149° 73°54' -52' 151° 73°02' -53' 152° 72°08' -54' 154° 71°14' -54' 155° 70°19' -55' 156° 69°24' -55' 157° 13

14 73°55' -52' 151° 73°02' -53' 152° 72°09' -54' 154° 71°14' -54' 155° 70°20' -55' 156° 69°25' -55' 157° 68°29' -56' 158° 14

15 73°03' -53' 153° 72°09' -54' 154° 71°15' -54' 155° 70°20' -55' 156° 69°25' -55' 158° 68°29' -56' 158° 67°33' -56' 159° 15

16 72°09' -54' 154° 71°15' -54' 155° 70°20' -55' 157° 69°25' -55' 158° 68°29' -56' 159° 67°33' -56' 159° 66°37' -56' 160° 16

17 71°16' -54' 156° 70°21' -55' 157° 69°26' -55' 158° 68°30' -56' 159° 67°34' -56' 160° 66°37' -56' 160° 65°41' -57' 161° 17

18 70°21' -55' 157° 69°26' -55' 158° 68°30' -56' 159° 67°34' -56' 160° 66°38' -56' 161° 65°41' -57' 161° 64°44' -57' 162° 18

19 69°27' -55' 158° 68°31' -56' 159° 67°35' -56' 160° 66°38' -56' 161° 65°41' -57' 161° 64°44' -57' 162° 63°47' -57' 163° 19

20 68°31' -56' 159° 67°35' -56' 160° 66°39' -56' 161° 65°42' -57' 161° 64°45' -57' 162° 63°48' -57' 163° 62°50' -57' 163° 20

21 67°36' -56' 160° 66°39' -56' 161° 65°42' -57' 162° 64°45' -57' 162° 63°48' -57' 163° 62°50' -57' 163° 61°53' -57' 164° 21

22 66°40' -56' 161° 65°43' -57' 162° 64°46' -57' 162° 63°48' -57' 163° 62°51' -57' 164° 61°53' -57' 164° 60°55' -58' 165° 22

23 65°43' -57' 162° 64°46' -57' 163° 63°49' -57' 163° 62°51' -57' 164° 61°54' -57' 164° 60°56' -58' 165° 59°58' -58' 165° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 83°00' -04' 90° 82°56' -13' 98° 82°43' -20' 106° 82°23' -27' 113° 81°57' -32' 120° 81°24' -37' 125° 80°47' -41' 130° 0

1 82°56' -12' 98° 82°43' -20' 106° 82°23' -27' 113° 81°56' -32' 120° 81°24' -37' 125° 80°47' -41' 130° 80°06' -44' 135° 1

2 82°43' -20' 106° 82°23' -27' 113° 81°56' -32' 120° 81°24' -37' 125° 80°47' -41' 130° 80°06' -44' 135° 79°23' -46' 139° 2

3 82°23' -27' 113° 81°56' -32' 120° 81°24' -37' 126° 80°47' -41' 131° 80°06' -44' 135° 79°22' -46' 139° 78°36' -48' 142° 3

4 81°57' -32' 120° 81°24' -37' 126° 80°47' -41' 131° 80°06' -44' 135° 79°22' -46' 139° 78°36' -48' 142° 77°48' -50' 145° 4

5 81°24' -37' 126° 80°47' -41' 131° 80°06' -44' 135° 79°22' -46' 139° 78°36' -48' 142° 77°48' -50' 145° 76°58' -51' 147° 5

6 80°47' -41' 131° 80°06' -44' 135° 79°23' -46' 139° 78°36' -48' 142° 77°48' -50' 145° 76°58' -51' 147° 76°07' -52' 150° 6

7 80°07' -44' 135° 79°23' -46' 139° 78°36' -48' 142° 77°48' -50' 145° 76°58' -51' 148° 76°07' -52' 150° 75°15' -53' 152° 7

8 79°23' -46' 139° 78°37' -48' 142° 77°48' -50' 145° 76°58' -51' 148° 76°07' -52' 150° 75°15' -53' 152° 74°21' -54' 153° 8

9 78°37' -48' 142° 77°49' -50' 145° 76°58' -51' 148° 76°07' -52' 150° 75°15' -53' 152° 74°21' -54' 153° 73°27' -55' 155° 9

10 77°49' -50' 145° 76°59' -51' 148° 76°07' -52' 150° 75°15' -53' 152° 74°22' -54' 154° 73°28' -55' 155° 72°33' -55' 156° 10

11 76°59' -51' 148° 76°08' -52' 150° 75°15' -53' 152° 74°22' -54' 154° 73°28' -55' 155° 72°33' -55' 156° 71°38' -56' 158° 11

12 76°08' -52' 150° 75°15' -53' 152° 74°22' -54' 154° 73°28' -55' 155° 72°33' -55' 157° 71°38' -56' 158° 70°42' -56' 159° 12

13 75°16' -53' 152° 74°22' -54' 154° 73°28' -55' 155° 72°33' -55' 157° 71°38' -56' 158° 70°42' -56' 159° 69°46' -56' 160° 13

14 74°23' -54' 154° 73°28' -55' 155° 72°34' -55' 157° 71°38' -56' 158° 70°42' -56' 159° 69°46' -56' 160° 68°50' -57' 161° 14

15 73°29' -55' 156° 72°34' -55' 157° 71°39' -56' 158° 70°43' -56' 159° 69°46' -56' 160° 68°50' -57' 161° 67°53' -57' 162° 15

16 72°34' -55' 157° 71°39' -56' 158° 70°43' -56' 159° 69°47' -56' 160° 68°50' -57' 161° 67°53' -57' 162° 66°56' -57' 163° 16

17 71°39' -56' 158° 70°43' -56' 159° 69°47' -56' 160° 68°50' -57' 161° 67°53' -57' 162° 66°56' -57' 163° 65°59' -57' 163° 17

18 70°44' -56' 159° 69°47' -56' 160° 68°51' -57' 161° 67°54' -57' 162° 66°57' -57' 163° 65°59' -57' 163° 65°02' -58' 164° 18

19 69°48' -56' 161° 68°51' -57' 161° 67°54' -57' 162° 66°57' -57' 163° 65°59' -57' 164° 65°02' -58' 164° 64°04' -58' 165° 19

20 68°51' -57' 161° 67°54' -57' 162° 66°57' -57' 163° 66°00' -57' 164° 65°02' -58' 164° 64°04' -58' 165° 63°06' -58' 165° 20

21 67°55' -57' 162° 66°58' -57' 163° 66°00' -57' 164° 65°02' -58' 164° 64°04' -58' 165° 63°06' -58' 165° 62°08' -58' 166° 21

22 66°58' -57' 163° 66°00' -57' 164° 65°03' -58' 164° 64°05' -58' 165° 63°07' -58' 166° 62°09' -58' 166° 61°10' -58' 166° 22

23 66°01' -57' 164° 65°03' -58' 165° 64°05' -58' 165° 63°07' -58' 166° 62°09' -58' 166° 61°11' -58' 167° 60°12' -58' 167° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

7° 353° LHA Latitude CONTRARY to DECLINATION 7° 353° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

8° 352° LHA Latitude CONTRARY to Declination 8° 352° LHA

8° 352° LHA Latitude CONTRARY to DECLINATION 8° 352° LHA

7° 353° LHA Latitude CONTRARY to Declination 7° 353° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

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Page 90: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 84°00' -05' 90° 83°55' -15' 99° 83°41' -23' 108° 83°18' -30' 116° 82°48' -36' 124° 82°12' -41' 130° 81°31' -44' 135° 0

1 83°55' -14' 99° 83°41' -23' 108° 83°18' -30' 117° 82°47' -36' 124° 82°12' -41' 130° 81°31' -44' 135° 80°47' -47' 139° 1

2 83°41' -23' 108° 83°18' -30' 117° 82°47' -36' 124° 82°11' -40' 130° 81°31' -44' 135° 80°47' -47' 139° 80°00' -49' 143° 2

3 83°18' -30' 117° 82°47' -36' 124° 82°11' -40' 130° 81°31' -44' 135° 80°47' -47' 139° 80°00' -49' 143° 79°11' -51' 146° 3

4 82°48' -36' 124° 82°12' -40' 130° 81°31' -44' 135° 80°47' -47' 139° 80°00' -49' 143° 79°11' -51' 146° 78°21' -52' 149° 4

5 82°12' -40' 130° 81°31' -44' 135° 80°47' -47' 139° 80°00' -49' 143° 79°11' -51' 146° 78°21' -52' 149° 77°28' -53' 151° 5

6 81°31' -44' 135° 80°47' -47' 140° 80°00' -49' 143° 79°11' -51' 146° 78°21' -52' 149° 77°28' -53' 151° 76°35' -54' 153° 6

7 80°47' -47' 140° 80°00' -49' 143° 79°11' -51' 146° 78°21' -52' 149° 77°29' -53' 151° 76°35' -54' 153° 75°41' -55' 155° 7

8 80°01' -49' 143° 79°12' -51' 146° 78°21' -52' 149° 77°29' -53' 151° 76°35' -54' 153° 75°41' -55' 155° 74°46' -55' 157° 8

9 79°12' -51' 147° 78°21' -52' 149° 77°29' -53' 152° 76°36' -54' 154° 75°41' -55' 155° 74°47' -55' 157° 73°51' -56' 158° 9

10 78°21' -52' 149° 77°29' -53' 152° 76°36' -54' 154° 75°42' -55' 155° 74°47' -55' 157° 73°51' -56' 158° 72°55' -56' 159° 10

11 77°29' -53' 152° 76°36' -54' 154° 75°42' -55' 155° 74°47' -55' 157° 73°51' -56' 158° 72°55' -56' 160° 71°59' -57' 161° 11

12 76°36' -54' 154° 75°42' -55' 156° 74°47' -55' 157° 73°51' -56' 158° 72°55' -56' 160° 71°59' -57' 161° 71°02' -57' 162° 12

13 75°42' -55' 156° 74°47' -55' 157° 73°52' -56' 159° 72°56' -56' 160° 71°59' -57' 161° 71°02' -57' 162° 70°05' -57' 163° 13

14 74°48' -55' 157° 73°52' -56' 159° 72°56' -56' 160° 71°59' -57' 161° 71°02' -57' 162° 70°05' -57' 163° 69°08' -57' 163° 14

15 73°52' -56' 159° 72°56' -56' 160° 72°00' -57' 161° 71°03' -57' 162° 70°06' -57' 163° 69°08' -57' 164° 68°10' -58' 164° 15

16 72°56' -56' 160° 72°00' -57' 161° 71°03' -57' 162° 70°06' -57' 163° 69°08' -57' 164° 68°11' -58' 164° 67°13' -58' 165° 16

17 72°00' -57' 161° 71°03' -57' 162° 70°06' -57' 163° 69°08' -57' 164° 68°11' -58' 164° 67°13' -58' 165° 66°15' -58' 166° 17

18 71°03' -57' 162° 70°06' -57' 163° 69°09' -57' 164° 68°11' -58' 164° 67°13' -58' 165° 66°15' -58' 166° 65°17' -58' 166° 18

19 70°07' -57' 163° 69°09' -57' 164° 68°11' -58' 165° 67°13' -58' 165° 66°15' -58' 166° 65°17' -58' 166° 64°19' -58' 167° 19

20 69°09' -57' 164° 68°12' -58' 165° 67°14' -58' 165° 66°15' -58' 166° 65°17' -58' 166° 64°19' -58' 167° 63°20' -58' 167° 20

21 68°12' -58' 165° 67°14' -58' 165° 66°16' -58' 166° 65°17' -58' 166° 64°19' -58' 167° 63°21' -58' 167° 62°22' -59' 168° 21

22 67°14' -58' 165° 66°16' -58' 166° 65°18' -58' 167° 64°19' -58' 167° 63°21' -58' 168° 62°22' -59' 168° 61°23' -59' 168° 22

23 66°16' -58' 166° 65°18' -58' 167° 64°20' -58' 167° 63°21' -58' 168° 62°22' -59' 168° 61°24' -59' 168° 60°25' -59' 169° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 85°00' -06' 90° 84°54' -17' 101° 84°37' -27' 112° 84°10' -34' 121° 83°36' -40' 129° 82°56' -44' 135° 82°12' -48' 140° 0

1 84°54' -17' 101° 84°37' -27' 112° 84°10' -34' 121° 83°36' -40' 129° 82°56' -44' 135° 82°12' -48' 140° 81°24' -50' 144° 1

2 84°37' -27' 112° 84°10' -34' 121° 83°36' -40' 129° 82°56' -44' 135° 82°12' -48' 140° 81°24' -50' 144° 80°34' -52' 148° 2

3 84°10' -34' 121° 83°36' -40' 129° 82°56' -44' 135° 82°11' -47' 140° 81°24' -50' 144° 80°34' -52' 148° 79°42' -53' 151° 3

4 83°36' -40' 129° 82°56' -44' 135° 82°12' -47' 140° 81°24' -50' 144° 80°34' -52' 148° 79°42' -53' 151° 78°49' -54' 153° 4

5 82°56' -44' 135° 82°12' -47' 140° 81°24' -50' 145° 80°34' -52' 148° 79°42' -53' 151° 78°49' -54' 153° 77°55' -55' 155° 5

6 82°12' -47' 140° 81°24' -50' 145° 80°34' -52' 148° 79°42' -53' 151° 78°49' -54' 153° 77°55' -55' 156° 77°00' -56' 157° 6

7 81°24' -50' 145° 80°34' -52' 148° 79°43' -53' 151° 78°49' -54' 153° 77°55' -55' 156° 77°00' -56' 157° 76°05' -56' 159° 7

8 80°34' -52' 148° 79°43' -53' 151° 78°50' -54' 154° 77°55' -55' 156° 77°00' -56' 157° 76°05' -56' 159° 75°08' -57' 160° 8

9 79°43' -53' 151° 78°50' -54' 154° 77°55' -55' 156° 77°00' -56' 157° 76°05' -56' 159° 75°08' -57' 160° 74°12' -57' 162° 9

10 78°50' -54' 154° 77°56' -55' 156° 77°00' -56' 158° 76°05' -56' 159° 75°08' -57' 160° 74°12' -57' 162° 73°15' -57' 163° 10

11 77°56' -55' 156° 77°01' -56' 158° 76°05' -56' 159° 75°09' -57' 161° 74°12' -57' 162° 73°15' -57' 163° 72°17' -58' 164° 11

12 77°01' -56' 158° 76°05' -56' 159° 75°09' -57' 161° 74°12' -57' 162° 73°15' -57' 163° 72°17' -58' 164° 71°20' -58' 165° 12

13 76°05' -56' 159° 75°09' -57' 161° 74°12' -57' 162° 73°15' -57' 163° 72°17' -58' 164° 71°20' -58' 165° 70°22' -58' 165° 13

14 75°09' -57' 161° 74°12' -57' 162° 73°15' -57' 163° 72°18' -58' 164° 71°20' -58' 165° 70°22' -58' 165° 69°24' -58' 166° 14

15 74°12' -57' 162° 73°15' -57' 163° 72°18' -58' 164° 71°20' -58' 165° 70°22' -58' 165° 69°24' -58' 166° 68°25' -58' 167° 15

16 73°15' -57' 163° 72°18' -58' 164° 71°20' -58' 165° 70°22' -58' 166° 69°24' -58' 166° 68°25' -58' 167° 67°27' -59' 167° 16

17 72°18' -58' 164° 71°20' -58' 165° 70°22' -58' 166° 69°24' -58' 166° 68°26' -58' 167° 67°27' -59' 167° 66°28' -59' 168° 17

18 71°20' -58' 165° 70°22' -58' 166° 69°24' -58' 166° 68°26' -58' 167° 67°27' -58' 168° 66°29' -59' 168° 65°30' -59' 168° 18

19 70°23' -58' 166° 69°24' -58' 166° 68°26' -58' 167° 67°27' -58' 168° 66°29' -59' 168° 65°30' -59' 169° 64°31' -59' 169° 19

20 69°25' -58' 167° 68°26' -58' 167° 67°28' -58' 168° 66°29' -59' 168° 65°30' -59' 169° 64°31' -59' 169° 63°32' -59' 169° 20

21 68°26' -58' 167° 67°28' -58' 168° 66°29' -59' 168° 65°30' -59' 169° 64°31' -59' 169° 63°32' -59' 169° 62°33' -59' 170° 21

22 67°28' -58' 168° 66°29' -59' 168° 65°30' -59' 169° 64°32' -59' 169° 63°33' -59' 170° 62°34' -59' 170° 61°34' -59' 170° 22

23 66°29' -59' 168° 65°31' -59' 169° 64°32' -59' 169° 63°33' -59' 170° 62°34' -59' 170° 61°35' -59' 170° 60°35' -59' 171° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

6° 354° LHA Latitude CONTRARY to Declination 6° 354° LHA

6° 354° LHA Latitude CONTRARY to DECLINATION 6° 354° LHA

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

5° 355° LHA Latitude CONTRARY to Declination 5° 355° LHA

5° 355° LHA Latitude CONTRARY to DECLINATION 5° 355° LHA

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Page 91: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 86°00' -07' 90° 85°53' -21' 104° 85°32' -32' 117° 85°00' -39' 127° 84°21' -45' 135° 83°36' -49' 141° 82°48' -51' 146° 0

1 85°53' -21' 104° 85°32' -32' 117° 85°00' -39' 127° 84°21' -45' 135° 83°36' -48' 141° 82°47' -51' 146° 81°56' -53' 150° 1

2 85°32' -32' 117° 85°00' -39' 127° 84°21' -45' 135° 83°36' -48' 141° 82°47' -51' 146° 81°56' -53' 150° 81°03' -54' 153° 2

3 85°00' -39' 127° 84°21' -45' 135° 83°36' -48' 141° 82°47' -51' 146° 81°56' -53' 150° 81°03' -54' 153° 80°09' -55' 156° 3

4 84°21' -45' 135° 83°36' -48' 141° 82°47' -51' 146° 81°56' -53' 150° 81°03' -54' 153° 80°09' -55' 156° 79°14' -56' 158° 4

5 83°36' -48' 141° 82°47' -51' 146° 81°56' -53' 150° 81°03' -54' 153° 80°09' -55' 156° 79°14' -56' 158° 78°18' -57' 160° 5

6 82°48' -51' 146° 81°56' -53' 150° 81°03' -54' 153° 80°09' -55' 156° 79°14' -56' 158° 78°18' -57' 160° 77°21' -57' 162° 6

7 81°57' -53' 150° 81°04' -54' 154° 80°09' -55' 156° 79°14' -56' 158° 78°18' -57' 160° 77°21' -57' 162° 76°24' -58' 163° 7

8 81°04' -54' 154° 80°09' -55' 156° 79°14' -56' 158° 78°18' -57' 160° 77°21' -57' 162° 76°24' -57' 163° 75°27' -58' 164° 8

9 80°09' -55' 156° 79°14' -56' 158° 78°18' -57' 160° 77°21' -57' 162° 76°24' -57' 163° 75°27' -58' 164° 74°29' -58' 165° 9

10 79°14' -56' 158° 78°18' -57' 160° 77°21' -57' 162° 76°24' -57' 163° 75°27' -58' 164° 74°29' -58' 165° 73°31' -58' 166° 10

11 78°18' -57' 160° 77°21' -57' 162° 76°24' -57' 163° 75°27' -58' 164° 74°29' -58' 165° 73°31' -58' 166° 72°32' -58' 167° 11

12 77°22' -57' 162° 76°24' -57' 163° 75°27' -58' 164° 74°29' -58' 165° 73°31' -58' 166° 72°32' -58' 167° 71°34' -59' 168° 12

13 76°25' -57' 163° 75°27' -58' 164° 74°29' -58' 165° 73°31' -58' 166° 72°33' -58' 167° 71°34' -59' 168° 70°35' -59' 168° 13

14 75°27' -58' 164° 74°29' -58' 165° 73°31' -58' 166° 72°33' -58' 167° 71°34' -59' 168° 70°35' -59' 168° 69°37' -59' 169° 14

15 74°29' -58' 165° 73°31' -58' 166° 72°33' -58' 167° 71°34' -59' 168° 70°35' -59' 168° 69°37' -59' 169° 68°38' -59' 169° 15

16 73°31' -58' 166° 72°33' -58' 167° 71°34' -59' 168° 70°36' -59' 168° 69°37' -59' 169° 68°38' -59' 169° 67°39' -59' 170° 16

17 72°33' -58' 167° 71°34' -59' 168° 70°36' -59' 168° 69°37' -59' 169° 68°38' -59' 169° 67°39' -59' 170° 66°40' -59' 170° 17

18 71°35' -59' 168° 70°36' -59' 168° 69°37' -59' 169° 68°38' -59' 170° 67°39' -59' 170° 66°40' -59' 170° 65°41' -59' 171° 18

19 70°36' -59' 169° 69°37' -59' 169° 68°38' -59' 170° 67°39' -59' 170° 66°40' -59' 170° 65°41' -59' 171° 64°41' -59' 171° 19

20 69°37' -59' 169° 68°38' -59' 170° 67°39' -59' 170° 66°40' -59' 170° 65°41' -59' 171° 64°42' -59' 171° 63°42' -59' 171° 20

21 68°38' -59' 170° 67°39' -59' 170° 66°40' -59' 171° 65°41' -59' 171° 64°42' -59' 171° 63°42' -59' 172° 62°43' -59' 172° 21

22 67°39' -59' 170° 66°40' -59' 171° 65°41' -59' 171° 64°42' -59' 171° 63°42' -59' 172° 62°43' -59' 172° 61°44' -59' 172° 22

23 66°40' -59' 171° 65°41' -59' 171° 64°42' -59' 171° 63°43' -59' 172° 62°43' -59' 172° 61°44' -59' 172° 60°44' -59' 172° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 87°00' -10' 90° 86°50' -27' 108° 86°24' -38' 124° 85°45' -45' 135° 85°00' -50' 143° 84°10' -53' 149° 83°18' -54' 153° 0

1 86°50' -27' 108° 86°24' -38' 124° 85°45' -45' 135° 85°00' -50' 143° 84°10' -53' 149° 83°18' -54' 153° 82°23' -56' 157° 1

2 86°24' -38' 124° 85°45' -45' 135° 85°00' -50' 143° 84°10' -53' 149° 83°18' -54' 153° 82°23' -56' 157° 81°27' -57' 159° 2

3 85°45' -45' 135° 85°00' -50' 143° 84°10' -53' 149° 83°18' -54' 153° 82°23' -56' 157° 81°27' -57' 159° 80°31' -57' 162° 3

4 85°00' -50' 143° 84°10' -53' 149° 83°18' -54' 153° 82°23' -56' 157° 81°27' -57' 159° 80°31' -57' 162° 79°34' -58' 163° 4

5 84°10' -53' 149° 83°18' -54' 153° 82°23' -56' 157° 81°27' -57' 159° 80°31' -57' 162° 79°34' -58' 163° 78°36' -58' 165° 5

6 83°18' -54' 154° 82°23' -56' 157° 81°27' -57' 159° 80°31' -57' 162° 79°34' -58' 163° 78°36' -58' 165° 77°38' -58' 166° 6

7 82°23' -56' 157° 81°27' -57' 160° 80°31' -57' 162° 79°34' -58' 163° 78°36' -58' 165° 77°38' -58' 166° 76°40' -59' 167° 7

8 81°28' -57' 160° 80°31' -57' 162° 79°34' -58' 163° 78°36' -58' 165° 77°38' -58' 166° 76°40' -59' 167° 75°41' -59' 168° 8

9 80°31' -57' 162° 79°34' -58' 163° 78°36' -58' 165° 77°38' -58' 166° 76°40' -59' 167° 75°41' -59' 168° 74°42' -59' 169° 9

10 79°34' -58' 163° 78°36' -58' 165° 77°38' -58' 166° 76°40' -59' 167° 75°41' -59' 168° 74°42' -59' 169° 73°43' -59' 169° 10

11 78°36' -58' 165° 77°38' -58' 166° 76°40' -59' 167° 75°41' -59' 168° 74°42' -59' 169° 73°43' -59' 169° 72°44' -59' 170° 11

12 77°38' -58' 166° 76°40' -59' 167° 75°41' -59' 168° 74°42' -59' 169° 73°43' -59' 169° 72°44' -59' 170° 71°45' -59' 171° 12

13 76°40' -59' 167° 75°41' -59' 168° 74°42' -59' 169° 73°44' -59' 170° 72°44' -59' 170° 71°45' -59' 171° 70°46' -59' 171° 13

14 75°41' -59' 168° 74°43' -59' 169° 73°44' -59' 170° 72°45' -59' 170° 71°45' -59' 171° 70°46' -59' 171° 69°47' -59' 172° 14

15 74°43' -59' 169° 73°44' -59' 170° 72°45' -59' 170° 71°45' -59' 171° 70°46' -59' 171° 69°47' -59' 172° 68°47' -59' 172° 15

16 73°44' -59' 170° 72°45' -59' 170° 71°45' -59' 171° 70°46' -59' 171° 69°47' -59' 172° 68°47' -59' 172° 67°48' -59' 172° 16

17 72°45' -59' 170° 71°46' -59' 171° 70°46' -59' 171° 69°47' -59' 172° 68°48' -59' 172° 67°48' -59' 172° 66°49' -59' 173° 17

18 71°46' -59' 171° 70°46' -59' 171° 69°47' -59' 172° 68°48' -59' 172° 67°48' -59' 172° 66°49' -59' 173° 65°49' -60' 173° 18

19 70°46' -59' 171° 69°47' -59' 172° 68°48' -59' 172° 67°48' -59' 172° 66°49' -59' 173° 65°49' -60' 173° 64°50' -60' 173° 19

20 69°47' -59' 172° 68°48' -59' 172° 67°48' -59' 173° 66°49' -59' 173° 65°49' -60' 173° 64°50' -60' 173° 63°50' -60' 174° 20

21 68°48' -59' 172° 67°48' -59' 173° 66°49' -59' 173° 65°49' -60' 173° 64°50' -60' 173° 63°50' -60' 174° 62°50' -60' 174° 21

22 67°48' -59' 173° 66°49' -59' 173° 65°49' -60' 173° 64°50' -60' 173° 63°50' -60' 174° 62°50' -60' 174° 61°51' -60' 174° 22

23 66°49' -59' 173° 65°49' -60' 173° 64°50' -60' 173° 63°50' -60' 174° 62°50' -60' 174° 61°51' -60' 174° 60°51' -60' 174° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

4° 356° LHA

4° 356° LHA Latitude CONTRARY to DECLINATION 4° 356° LHA

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

3° 357° LHA Latitude CONTRARY to Declination 3° 357° LHA

3° 357° LHA Latitude CONTRARY to DECLINATION 3° 357° LHA

4° 356° LHA Latitude CONTRARY to Declination

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Page 92: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 88°00' -14' 90° 87°46' -36' 117° 87°10' -47' 135° 86°24' -52' 146° 85°32' -55' 153° 84°37' -56' 158° 83°41' -57' 162° 0

1 87°46' -36' 117° 87°10' -47' 135° 86°24' -52' 146° 85°32' -55' 153° 84°37' -56' 158° 83°41' -57' 162° 82°43' -58' 164° 1

2 87°10' -47' 135° 86°24' -52' 146° 85°32' -55' 153° 84°37' -56' 158° 83°41' -57' 162° 82°43' -58' 164° 81°45' -58' 166° 2

3 86°24' -52' 146° 85°32' -55' 153° 84°37' -56' 158° 83°41' -57' 162° 82°43' -58' 164° 81°45' -58' 166° 80°47' -59' 167° 3

4 85°32' -55' 153° 84°37' -56' 158° 83°41' -57' 162° 82°43' -58' 164° 81°45' -58' 166° 80°47' -59' 167° 79°48' -59' 169° 4

5 84°37' -56' 158° 83°41' -57' 162° 82°43' -58' 164° 81°45' -58' 166° 80°47' -59' 167° 79°48' -59' 169° 78°49' -59' 170° 5

6 83°41' -57' 162° 82°43' -58' 164° 81°45' -58' 166° 80°47' -59' 167° 79°48' -59' 169° 78°49' -59' 170° 77°50' -59' 171° 6

7 82°43' -58' 164° 81°45' -58' 166° 80°47' -59' 168° 79°48' -59' 169° 78°49' -59' 170° 77°50' -59' 171° 76°51' -59' 171° 7

8 81°45' -58' 166° 80°47' -59' 168° 79°48' -59' 169° 78°49' -59' 170° 77°50' -59' 171° 76°51' -59' 171° 75°52' -59' 172° 8

9 80°47' -59' 168° 79°48' -59' 169° 78°49' -59' 170° 77°50' -59' 171° 76°51' -59' 171° 75°52' -59' 172° 74°52' -59' 172° 9

10 79°48' -59' 169° 78°49' -59' 170° 77°50' -59' 171° 76°51' -59' 171° 75°52' -59' 172° 74°52' -59' 172° 73°53' -60' 173° 10

11 78°49' -59' 170° 77°50' -59' 171° 76°51' -59' 171° 75°52' -59' 172° 74°52' -59' 172° 73°53' -60' 173° 72°53' -60' 173° 11

12 77°50' -59' 171° 76°51' -59' 171° 75°52' -59' 172° 74°52' -59' 172° 73°53' -60' 173° 72°53' -60' 173° 71°53' -60' 174° 12

13 76°51' -59' 171° 75°52' -59' 172° 74°52' -59' 173° 73°53' -60' 173° 72°53' -60' 173° 71°53' -60' 174° 70°54' -60' 174° 13

14 75°52' -59' 172° 74°52' -59' 173° 73°53' -60' 173° 72°53' -60' 173° 71°53' -60' 174° 70°54' -60' 174° 69°54' -60' 174° 14

15 74°52' -59' 173° 73°53' -60' 173° 72°53' -60' 173° 71°53' -60' 174° 70°54' -60' 174° 69°54' -60' 174° 68°54' -60' 175° 15

16 73°53' -60' 173° 72°53' -60' 173° 71°54' -60' 174° 70°54' -60' 174° 69°54' -60' 174° 68°54' -60' 175° 67°55' -60' 175° 16

17 72°53' -60' 173° 71°54' -60' 174° 70°54' -60' 174° 69°54' -60' 174° 68°54' -60' 175° 67°55' -60' 175° 66°55' -60' 175° 17

18 71°54' -60' 174° 70°54' -60' 174° 69°54' -60' 174° 68°54' -60' 175° 67°55' -60' 175° 66°55' -60' 175° 65°55' -60' 175° 18

19 70°54' -60' 174° 69°54' -60' 174° 68°54' -60' 175° 67°55' -60' 175° 66°55' -60' 175° 65°55' -60' 175° 64°55' -60' 176° 19

20 69°54' -60' 175° 68°55' -60' 175° 67°55' -60' 175° 66°55' -60' 175° 65°55' -60' 175° 64°55' -60' 176° 63°56' -60' 176° 20

21 68°55' -60' 175° 67°55' -60' 175° 66°55' -60' 175° 65°55' -60' 175° 64°55' -60' 176° 63°56' -60' 176° 62°56' -60' 176° 21

22 67°55' -60' 175° 66°55' -60' 175° 65°55' -60' 175° 64°55' -60' 176° 63°56' -60' 176° 62°56' -60' 176° 61°56' -60' 176° 22

23 66°55' -60' 175° 65°55' -60' 175° 64°55' -60' 176° 63°56' -60' 176° 62°56' -60' 176° 61°56' -60' 176° 60°56' -60' 176° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 89°00' -25' 90° 88°35' -49' 135° 87°46' -56' 153° 86°50' -58' 162° 85°53' -59' 166° 84°54' -59' 169° 83°55' -59' 171° 0

1 88°35' -49' 135° 87°46' -56' 153° 86°50' -58' 162° 85°53' -59' 166° 84°54' -59' 169° 83°55' -59' 171° 82°56' -59' 172° 1

2 87°46' -56' 153° 86°50' -58' 162° 85°53' -59' 166° 84°54' -59' 169° 83°55' -59' 171° 82°56' -59' 172° 81°56' -60' 173° 2

3 86°50' -58' 162° 85°53' -59' 166° 84°54' -59' 169° 83°55' -59' 171° 82°56' -59' 172° 81°56' -60' 173° 80°57' -60' 174° 3

4 85°53' -59' 166° 84°54' -59' 169° 83°55' -59' 171° 82°56' -59' 172° 81°56' -60' 173° 80°57' -60' 174° 79°57' -60' 174° 4

5 84°54' -59' 169° 83°55' -59' 171° 82°56' -59' 172° 81°56' -60' 173° 80°57' -60' 174° 79°57' -60' 174° 78°57' -60' 175° 5

6 83°55' -59' 171° 82°56' -59' 172° 81°56' -60' 173° 80°57' -60' 174° 79°57' -60' 174° 78°57' -60' 175° 77°58' -60' 175° 6

7 82°56' -59' 172° 81°56' -60' 173° 80°57' -60' 174° 79°57' -60' 174° 78°57' -60' 175° 77°58' -60' 175° 76°58' -60' 176° 7

8 81°56' -60' 173° 80°57' -60' 174° 79°57' -60' 174° 78°57' -60' 175° 77°58' -60' 175° 76°58' -60' 176° 75°58' -60' 176° 8

9 80°57' -60' 174° 79°57' -60' 174° 78°57' -60' 175° 77°58' -60' 175° 76°58' -60' 176° 75°58' -60' 176° 74°58' -60' 176° 9

10 79°57' -60' 174° 78°57' -60' 175° 77°58' -60' 175° 76°58' -60' 176° 75°58' -60' 176° 74°58' -60' 176° 73°58' -60' 176° 10

11 78°57' -60' 175° 77°58' -60' 175° 76°58' -60' 176° 75°58' -60' 176° 74°58' -60' 176° 73°58' -60' 176° 72°58' -60' 177° 11

12 77°58' -60' 175° 76°58' -60' 176° 75°58' -60' 176° 74°58' -60' 176° 73°58' -60' 176° 72°58' -60' 177° 71°58' -60' 177° 12

13 76°58' -60' 176° 75°58' -60' 176° 74°58' -60' 176° 73°58' -60' 176° 72°58' -60' 177° 71°58' -60' 177° 70°58' -60' 177° 13

14 75°58' -60' 176° 74°58' -60' 176° 73°58' -60' 176° 72°58' -60' 177° 71°58' -60' 177° 70°58' -60' 177° 69°59' -60' 177° 14

15 74°58' -60' 176° 73°58' -60' 177° 72°58' -60' 177° 71°58' -60' 177° 70°58' -60' 177° 69°59' -60' 177° 68°59' -60' 177° 15

16 73°58' -60' 177° 72°58' -60' 177° 71°58' -60' 177° 70°58' -60' 177° 69°59' -60' 177° 68°59' -60' 177° 67°59' -60' 177° 16

17 72°58' -60' 177° 71°58' -60' 177° 70°58' -60' 177° 69°59' -60' 177° 68°59' -60' 177° 67°59' -60' 177° 66°59' -60' 178° 17

18 71°58' -60' 177° 70°58' -60' 177° 69°59' -60' 177° 68°59' -60' 177° 67°59' -60' 177° 66°59' -60' 178° 65°59' -60' 178° 18

19 70°58' -60' 177° 69°59' -60' 177° 68°59' -60' 177° 67°59' -60' 177° 66°59' -60' 178° 65°59' -60' 178° 64°59' -60' 178° 19

20 69°59' -60' 177° 68°59' -60' 177° 67°59' -60' 177° 66°59' -60' 178° 65°59' -60' 178° 64°59' -60' 178° 63°59' -60' 178° 20

21 68°59' -60' 177° 67°59' -60' 178° 66°59' -60' 178° 65°59' -60' 178° 64°59' -60' 178° 63°59' -60' 178° 62°59' -60' 178° 21

22 67°59' -60' 178° 66°59' -60' 178° 65°59' -60' 178° 64°59' -60' 178° 63°59' -60' 178° 62°59' -60' 178° 61°59' -60' 178° 22

23 66°59' -60' 178° 65°59' -60' 178° 64°59' -60' 178° 63°59' -60' 178° 62°59' -60' 178° 61°59' -60' 178° 60°59' -60' 178° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

1° 359° LHA Latitude CONTRARY to DECLINATION 1° 359° LHA

2° 358° LHA Latitude CONTRARY to Declination 2° 358° LHA

2° 358° LHA Latitude CONTRARY to DECLINATION 2° 358° LHA

1° 359° LHA Latitude CONTRARY to Declination 1° 359° LHA

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Page 93: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

0 1 2 3 4 5 6Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 90°00' -60' 90° 89°00' -60' 180° 88°00' -60' 180° 87°00' -60' 180° 86°00' -60' 180° 85°00' -60' 180° 84°00' -60' 180° 0

1 89°00' -60' 180° 88°00' -60' 180° 87°00' -60' 180° 86°00' -60' 180° 85°00' -60' 180° 84°00' -60' 180° 83°00' -60' 180° 1

2 88°00' -60' 180° 87°00' -60' 180° 86°00' -60' 180° 85°00' -60' 180° 84°00' -60' 180° 83°00' -60' 180° 82°00' -60' 180° 2

3 87°00' -60' 180° 86°00' -60' 180° 85°00' -60' 180° 84°00' -60' 180° 83°00' -60' 180° 82°00' -60' 180° 81°00' -60' 180° 3

4 86°00' -60' 180° 85°00' -60' 180° 84°00' -60' 180° 83°00' -60' 180° 82°00' -60' 180° 81°00' -60' 180° 80°00' -60' 180° 4

5 85°00' -60' 180° 84°00' -60' 180° 83°00' -60' 180° 82°00' -60' 180° 81°00' -60' 180° 80°00' -60' 180° 79°00' -60' 180° 5

6 84°00' -60' 180° 83°00' -60' 180° 82°00' -60' 180° 81°00' -60' 180° 80°00' -60' 180° 79°00' -60' 180° 78°00' -60' 180° 6

7 83°00' -60' 180° 82°00' -60' 180° 81°00' -60' 180° 80°00' -60' 180° 79°00' -60' 180° 78°00' -60' 180° 77°00' -60' 180° 7

8 82°00' -60' 180° 81°00' -60' 180° 80°00' -60' 180° 79°00' -60' 180° 78°00' -60' 180° 77°00' -60' 180° 76°00' -60' 180° 8

9 81°00' -60' 180° 80°00' -60' 180° 79°00' -60' 180° 78°00' -60' 180° 77°00' -60' 180° 76°00' -60' 180° 75°00' -60' 180° 9

10 80°00' -60' 180° 79°00' -60' 180° 78°00' -60' 180° 77°00' -60' 180° 76°00' -60' 180° 75°00' -60' 180° 74°00' -60' 180° 10

11 79°00' -60' 180° 78°00' -60' 180° 77°00' -60' 180° 76°00' -60' 180° 75°00' -60' 180° 74°00' -60' 180° 73°00' -60' 180° 11

12 78°00' -60' 180° 77°00' -60' 180° 76°00' -60' 180° 75°00' -60' 180° 74°00' -60' 180° 73°00' -60' 180° 72°00' -60' 180° 12

13 77°00' -60' 180° 76°00' -60' 180° 75°00' -60' 180° 74°00' -60' 180° 73°00' -60' 180° 72°00' -60' 180° 71°00' -60' 180° 13

14 76°00' -60' 180° 75°00' -60' 180° 74°00' -60' 180° 73°00' -60' 180° 72°00' -60' 180° 71°00' -60' 180° 70°00' -60' 180° 14

15 75°00' -60' 180° 74°00' -60' 180° 73°00' -60' 180° 72°00' -60' 180° 71°00' -60' 180° 70°00' -60' 180° 69°00' -60' 180° 15

16 74°00' -60' 180° 73°00' -60' 180° 72°00' -60' 180° 71°00' -60' 180° 70°00' -60' 180° 69°00' -60' 180° 68°00' -60' 180° 16

17 73°00' -60' 180° 72°00' -60' 180° 71°00' -60' 180° 70°00' -60' 180° 69°00' -60' 180° 68°00' -60' 180° 67°00' -60' 180° 17

18 72°00' -60' 180° 71°00' -60' 180° 70°00' -60' 180° 69°00' -60' 180° 68°00' -60' 180° 67°00' -60' 180° 66°00' -60' 180° 18

19 71°00' -60' 180° 70°00' -60' 180° 69°00' -60' 180° 68°00' -60' 180° 67°00' -60' 180° 66°00' -60' 180° 65°00' -60' 180° 19

20 70°00' -60' 180° 69°00' -60' 180° 68°00' -60' 180° 67°00' -60' 180° 66°00' -60' 180° 65°00' -60' 180° 64°00' -60' 180° 20

21 69°00' -60' 180° 68°00' -60' 180° 67°00' -60' 180° 66°00' -60' 180° 65°00' -60' 180° 64°00' -60' 180° 63°00' -60' 180° 21

22 68°00' -60' 180° 67°00' -60' 180° 66°00' -60' 180° 65°00' -60' 180° 64°00' -60' 180° 63°00' -60' 180° 62°00' -60' 180° 22

23 67°00' -60' 180° 66°00' -60' 180° 65°00' -60' 180° 64°00' -60' 180° 63°00' -60' 180° 62°00' -60' 180° 61°00' -60' 180° 23

Dec° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Hc° d' Z° Dec°

0 1 2 3 4 5 6

South Lat. LHA > 180° . . Zn = 180-Z LHA < 180° . . Zn= 180+Z

North Lat. LHA > 180° . . Zn = Z LHA < 180° . . Zn= 360-Z

0° 360° LHA Latitude CONTRARY to Declination 0° 360° LHA

0° 360° LHA Latitude CONTRARY to DECLINATION 0° 360° LHA

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Page 94: Integer Sight Reduction Tables Latitude 0° to 6°backbearing.com/files/0-6 Integers.pdf · The resulting LHA must be a whole degree of latitude. If LHA and Declination = SAME Start

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2

3 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3

4 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4

5 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5

6 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6

7 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7

8 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8

9 0 0 0 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9

10 0 0 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10

11 0 0 1 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11

12 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12

13 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 13 13 13 13

14 0 0 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 12 12 12 12 13 13 13 13 14 14 14 14

15 0 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 13 13 13 13 14 14 14 14 15 15 15 15

16 0 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 13 13 13 13 14 14 14 14 15 15 15 15 16 16 16

17 0 1 1 1 1 2 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 13 13 13 14 14 14 14 15 15 15 16 16 16 16 17 17 17

18 0 1 1 1 2 2 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 13 13 13 14 14 14 14 15 15 15 16 16 16 17 17 17 17 18 18 18

19 0 1 1 1 2 2 2 3 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 10 11 11 11 12 12 12 13 13 13 14 14 14 15 15 15 16 16 16 16 17 17 17 18 18 18 19 19 19

20 0 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 11 11 11 12 12 12 13 13 13 14 14 14 15 15 15 16 16 16 17 17 17 18 18 18 19 19 19 20 20 20

21 0 1 1 1 2 2 2 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 11 11 11 12 12 12 13 13 13 14 14 14 15 15 15 16 16 16 17 17 18 18 18 19 19 19 20 20 20 21 21 21

22 0 1 1 1 2 2 3 3 3 4 4 4 5 5 6 6 6 7 7 7 8 8 8 9 9 10 10 10 11 11 11 12 12 12 13 13 14 14 14 15 15 15 16 16 17 17 17 18 18 18 19 19 19 20 20 21 21 21 22 22 22

23 0 1 1 2 2 2 3 3 3 4 4 5 5 5 6 6 7 7 7 8 8 8 9 9 10 10 10 11 11 12 12 12 13 13 13 14 14 15 15 15 16 16 16 17 17 18 18 18 19 19 20 20 20 21 21 21 22 22 23 23 23

24 0 1 1 2 2 2 3 3 4 4 4 5 5 6 6 6 7 7 8 8 8 9 9 10 10 10 11 11 12 12 12 13 13 14 14 14 15 15 16 16 16 17 17 18 18 18 19 19 20 20 20 21 21 22 22 22 23 23 24 24 24

25 0 1 1 2 2 3 3 3 4 4 5 5 5 6 6 7 7 8 8 8 9 9 10 10 10 11 11 12 12 13 13 13 14 14 15 15 15 16 16 17 17 18 18 18 19 19 20 20 20 21 21 22 22 23 23 23 24 24 25 25 25

26 0 1 1 2 2 3 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 10 11 11 12 12 13 13 13 14 14 15 15 16 16 16 17 17 18 18 19 19 20 20 20 21 21 22 22 23 23 23 24 24 25 25 26 26 26

27 0 1 1 2 2 3 3 4 4 5 5 5 6 6 7 7 8 8 9 9 9 10 10 11 11 12 12 13 13 14 14 14 15 15 16 16 17 17 18 18 18 19 19 20 20 21 21 22 22 23 23 23 24 24 25 25 26 26 27 27 27

28 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 28

29 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 29

30 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 30

31 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31

32 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32

33 1 1 2 2 3 3 4 4 5 6 6 7 7 8 8 9 9 10 10 11 12 12 13 13 14 14 15 15 16 17 17 18 18 19 19 20 20 21 21 22 23 23 24 24 25 25 26 26 27 28 28 29 29 30 30 31 31 32 32 33 33

34 1 1 2 2 3 3 4 5 5 6 6 7 7 8 9 9 10 10 11 11 12 12 13 14 14 15 15 16 16 17 18 18 19 19 20 20 21 22 22 23 23 24 24 25 26 26 27 27 28 28 29 29 30 31 31 32 32 33 33 34 34

35 1 1 2 2 3 4 4 5 5 6 6 7 8 8 9 9 10 11 11 12 12 13 13 14 15 15 16 16 17 18 18 19 19 20 20 21 22 22 23 23 24 25 25 26 26 27 27 28 29 29 30 30 31 32 32 33 33 34 34 35 35

36 1 1 2 2 3 4 4 5 5 6 7 7 8 8 9 10 10 11 11 12 13 13 14 14 15 16 16 17 17 18 19 19 20 20 21 22 22 23 23 24 25 25 26 26 27 28 28 29 29 30 31 31 32 32 33 34 34 35 35 36 36

37 1 1 2 2 3 4 4 5 6 6 7 7 8 9 9 10 10 11 12 12 13 14 14 15 15 16 17 17 18 19 19 20 20 21 22 22 23 23 24 25 25 26 27 27 28 28 29 30 30 31 31 32 33 33 34 35 35 36 36 37 37

38 1 1 2 3 3 4 4 5 6 6 7 8 8 9 10 10 11 11 12 13 13 14 15 15 16 16 17 18 18 19 20 20 21 22 22 23 23 24 25 25 26 27 27 28 29 29 30 30 31 32 32 33 34 34 35 35 36 37 37 38 38

39 1 1 2 3 3 4 5 5 6 7 7 8 8 9 10 10 11 12 12 13 14 14 15 16 16 17 18 18 19 20 20 21 21 22 23 23 24 25 25 26 27 27 28 29 29 30 31 31 32 33 33 34 34 35 36 36 37 38 38 39 39

40 1 1 2 3 3 4 5 5 6 7 7 8 9 9 10 11 11 12 13 13 14 15 15 16 17 17 18 19 19 20 21 21 22 23 23 24 25 25 26 27 27 28 29 29 30 31 31 32 33 33 34 35 35 36 37 37 38 39 39 40 40

41 1 1 2 3 3 4 5 5 6 7 8 8 9 10 10 11 12 12 13 14 14 15 16 16 17 18 18 19 20 21 21 22 23 23 24 25 25 26 27 27 28 29 29 30 31 31 32 33 33 34 35 36 36 37 38 38 39 40 40 41 41

42 1 1 2 3 4 4 5 6 6 7 8 8 9 10 11 11 12 13 13 14 15 15 16 17 18 18 19 20 20 21 22 22 23 24 25 25 26 27 27 28 29 29 30 31 32 32 33 34 34 35 36 36 37 38 39 39 40 41 41 42 42

43 1 1 2 3 4 4 5 6 6 7 8 9 9 10 11 11 12 13 14 14 15 16 16 17 18 19 19 20 21 22 22 23 24 24 25 26 27 27 28 29 29 30 31 32 32 33 34 34 35 36 37 37 38 39 39 40 41 42 42 43 43

44 1 1 2 3 4 4 5 6 7 7 8 9 10 10 11 12 12 13 14 15 15 16 17 18 18 19 20 21 21 22 23 23 24 25 26 26 27 28 29 29 30 31 32 32 33 34 34 35 36 37 37 38 39 40 40 41 42 43 43 44 44

45 1 2 2 3 4 5 5 6 7 8 8 9 10 11 11 12 13 14 14 15 16 17 17 18 19 20 20 21 22 23 23 24 25 26 26 27 28 29 29 30 31 32 32 33 34 35 35 36 37 38 38 39 40 41 41 42 43 44 44 45 45

46 1 2 2 3 4 5 5 6 7 8 8 9 10 11 12 12 13 14 15 15 16 17 18 18 19 20 21 21 22 23 24 25 25 26 27 28 28 29 30 31 31 32 33 34 35 35 36 37 38 38 39 40 41 41 42 43 44 44 45 46 46

47 1 2 2 3 4 5 5 6 7 8 9 9 10 11 12 13 13 14 15 16 16 17 18 19 20 20 21 22 23 24 24 25 26 27 27 28 29 30 31 31 32 33 34 34 35 36 37 38 38 39 40 41 42 42 43 44 45 45 46 47 47

48 1 2 2 3 4 5 6 6 7 8 9 10 10 11 12 13 14 14 15 16 17 18 18 19 20 21 22 22 23 24 25 26 26 27 28 29 30 30 31 32 33 34 34 35 36 37 38 38 39 40 41 42 42 43 44 45 46 46 47 48 48

49 1 2 2 3 4 5 6 7 7 8 9 10 11 11 12 13 14 15 16 16 17 18 19 20 20 21 22 23 24 25 25 26 27 28 29 29 30 31 32 33 33 34 35 36 37 38 38 39 40 41 42 42 43 44 45 46 47 47 48 49 49

50 1 2 3 3 4 5 6 7 8 8 9 10 11 12 13 13 14 15 16 17 18 18 19 20 21 22 23 23 24 25 26 27 28 28 29 30 31 32 33 33 34 35 36 37 38 38 39 40 41 42 43 43 44 45 46 47 48 48 49 50 50

51 1 2 3 3 4 5 6 7 8 9 9 10 11 12 13 14 14 15 16 17 18 19 20 20 21 22 23 24 25 26 26 27 28 29 30 31 31 32 33 34 35 36 37 37 38 39 40 41 42 43 43 44 45 46 47 48 48 49 50 51 51

52 1 2 3 3 4 5 6 7 8 9 10 10 11 12 13 14 15 16 16 17 18 19 20 21 22 23 23 24 25 26 27 28 29 29 30 31 32 33 34 35 36 36 37 38 39 40 41 42 42 43 44 45 46 47 48 49 49 50 51 52 52

53 1 2 3 4 4 5 6 7 8 9 10 11 11 12 13 14 15 16 17 18 19 19 20 21 22 23 24 25 26 27 27 28 29 30 31 32 33 34 34 35 36 37 38 39 40 41 42 42 43 44 45 46 47 48 49 49 50 51 52 53 53

54 1 2 3 4 5 5 6 7 8 9 10 11 12 13 14 14 15 16 17 18 19 20 21 22 23 23 24 25 26 27 28 29 30 31 32 32 33 34 35 36 37 38 39 40 41 41 42 43 44 45 46 47 48 49 50 50 51 52 53 54 54

55 1 2 3 4 5 6 6 7 8 9 10 11 12 13 14 15 16 17 17 18 19 20 21 22 23 24 25 26 27 28 28 29 30 31 32 33 34 35 36 37 38 39 39 40 41 42 43 44 45 46 47 48 49 50 50 51 52 53 54 55 55

56 1 2 3 4 5 6 7 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 49 50 51 52 53 54 55 56 56

57 1 2 3 4 5 6 7 8 9 10 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 48 49 50 51 52 53 54 55 56 57 57

58 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 58

59 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 59

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

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