PRICES SUBJECT TO CHINGE' - NASA · 90,000 0.7772 1.684 x10- 2.17 x 10- 0.8167: 100,000 0.8089...

(NASA-CR-120560) A MAN IN THE LOOP 1475- -1389

TRAJECTORY OPTIMIZATION PROGRAM (MILTOP):Final Report (Interactive :Computer'Systems, Inc., Athens,- Ga.) 89 p HC Unclas

CSCL 22A G3/13 06490 -

Reproduced by

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PRICES SUBJECT TO CHINGE'

https://ntrs.nasa.gov/search.jsp?R=19750005826 2019-02-02T12:51:06+00:00Z

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S 5,000 0.9656 8.320 X 10-' . 8.617 X 10-1 0.9731...- 10,000 0.9312 6.877 X 1.0-1 7.385 X 10-1 -0.9457

15,000 0.8969 5.643 X 101 6.292 X 10-' 0.917820,000 0.8625 4.595 X 10-1 . 5.328 X 10-l 0.8894S 5,000 0.8281 3.11 X 10- 4.481 X 10-1 0.8605

f 30,000 0.7937 2.970 X 10-1 3.741 X 1 0- ' 0.8311

35,000 0.7594 2.35377 X 10-' 3.099 X 10-1 0.8011- 36,089 0.7519 2.234 X 10-' 2.971 X 10-' 0.794540,000 0.7519 1.851 X 10-1 2.462 X 10- 0.7945.- . 145,000 0.7519 1.455 X 10-' 1.936 X 10- 0.7945P. 50,000 0.7519 1.145 X 10- 1 1.552 X 10-' 0.7945

-60,000 0.7519 7.078 X 10-- 9.414 X 10-2 0.794570,0%0 0.7519 4.377 X 10-2 5.821 X 10-2 0.7945

S80.000 0.7519 2.707 X 10-2 3.600 X 10-2 0.7945Stratopause - 82,021 0.7519 2.456 X 10- 3.267 X 10-2 0.794590,000 0.7772 1.684 X10- 2.17 X 10- 0.8167:100,000 0.8089 1.068 X 10-2 1.320. 0.8442

150,000 0.9676 1,389 X 10-2 1.436 X 10-3 0.9746S154,199 0.9809 1.189 X 10- 1.212 X I" 0.9851o 173,885 0.9809 5;756 X 10- 5.868 X 10-4 0.9851

200,000 0.8566 2.058 X 10-4 2.402 X 10- 4 0.8845, 250,000 0.6186 1.738 X 10-5 2.810 X 10-5 0.6718, 259,186 0.5749 9.964 X 10- 1.733 X 10- 0.6293

295,276 0.5749 1.031 X 10- 1.793 X 10- 0.6293

where: I = altitude in feet;T = absolute temperature;p = absolute pressure;p - density;.= viscosity;

g = acceleration due to gravity,Subscript( )o =value at sea level;

h' = gh. geopotentia altitude in feet;

go = 32.174 ft/sec';To = 518.69°R;Po = 2116.2 lbf/ft2;Oo = 0.0023769 slug/ft ' ;Po = 3.7373 X 10-' lb sec/ft2.

lFor the lower rcgions of this model almosphere the geopoltntial is virtually equial to thephysical altitue; the region up to 65,0r. ft is plractically identical Wiith the InternalionalCiil \Aeronautics ()rganization (ICA:1) atmosphere.

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2. $---------------------------------------------------.3 ...... .... ............ . D...AA,.C.E.S .TRAJEC .T. .RY -t. .HE .BY 2.X ..S.. ER S ....O.R .TILL . E. E ...... ......

4. $ THE USER SPECIFIED LIHITS IS EXCEEDED

6* DO 10 I=1,?200............7 ..........$ .............. NIER A P..... AS.E AU.... .iO ATICALLY E.... .EN N. ECESSARY .......

8 IF(T LT TPHSTOP) GOTO 5......... .......... $ ........... .T O . VER A..E S IO.Q.P.. .S..A.V.pHAS.., .THEN .SE.....ALL..... A.R.... AI ... C.HANGE ...........

10. CALL SAVHAS...... .... C L E .... .................... . . ............. L.... . . ............... ..................... . . . ................................................

1?2 5 CONTINUE.........1 3..................... .......... .............. .......... O .) .. . . . ................... ..... .............

14. IF(C GT CMAX) GOTO 100.......... 15..* .......... I.E.. .L. L- ........G ......AL.I.B.- ---........G..O...L... 0--- .................. .. ... ..... .. ... . ....... ............ . . .......... .

16. IF ('FUEL LE 0) CALL NOFUEL.... .... ... .... ..................... .. .. .......18. CALL RUNGE....... .... .. .. . . . . . ... . "H o . .20. NOWSTEP=NJOWSTEP+1 ho T.n7i21i .If.t LCD INORWSTESAVSI.TE......E..Q.. CALL SAVTRAJ22 10 CONTINUE S4'

24. $S.. .....P.RIN....'. .1. HAVE .COLEE ...0 S.T EP .S .q11.O REA!HING .. N. L T .....26.

27. ,. Z1.CO T tU E...................28, PRINT T,TSTOP,G,GMAX,Q, QMAXALTALTMAXMFUEL

...29.. ........C ..LLT. .J..H ............ ... .... .• .. . .... ..30. ENDI.: C

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. ... C N F ' Y ITA T................. L V................................ .................4. S DU TTT .RUGE STATE IS UNTOICHED TILL THE END5..$.. ... TT I. UPDATED TGETHER.I THE INDVDUAL .VARIA S...

.. ... ...... . .. . . . . . .. ............... ..................... ............................... ............. ....... ............... .......................................................................... ........ S..... .. * -.... . T........... . .... - . . .-. , ---- ..

.. CALL NEwH..HS

~0 . $

12. CALL SETVAR1...... . L.S.L.. ....... L 'I.. ........NE ....... ..- ,14. CALL NEWEHS

.....15 2

S.....STATE. ST ATE+K2.. .. .. ................. ............ ' .

- ... ............ .... ... .......................................................................................................................... .................. ................ ............................................................................ . . . .i

18. CALL SETVAR

20. K'7 = FRHS

22. NSTATE= STATE+ K3S3.. .. L . E AR......... .....T. .......24. HMLS ML ES-NENG M OT H/2

... 25. C.ILLEr HEIS- K. ............................26. K4=H RHS

28. $2......9... S .a..E.KiE K /3 3........ ......................IA.... ..... .. ... .........30* NS TATE=STATE

S _31. .7 .P.C..LL. .SE .VAR........................ ................ . . ......... ......32. MF U EL=MFUEL - NENG *'MD0OT H

G-.33. .Ti -IRU.ST.-. E.A MLB3. -.-.....................

34. END

• / ,

P)A/ e (J --' 1- ,..

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41. MACRO NFH !RHS2 ....... ... .$ - --- --- . - ' "- - - - --- - . --. . .- ... ..- - - -- .. ... .-. . L. . . .- . ." - - " .....

3. CDSCHIP=COS (CHIP)........4 ..... ...... I N C H I P - S I N ( H T P ) ....................................................... ... ........................................... ............................................................. ................... ...... ..................................... .. .....................

5. S IrM A=AT-TP N2 (VREL, v 4REL- O S C H T -IF-URE L * ST NCHIP)... 6 . G R , V - T - M U G R .V f t X 4 X +- Y +Y + Z" 1. )","* t .5 ) ..................................................................................................................................................

7. D = (-COSCHI ' FA N 3 OS(SI G:-A) +S INCHIP* (THRUST-FAA) )'I LS*GZ ERO-X GRAVIT-......... 8SI ..... I FAN'C3 SS- COSCH IP-T H UST-FAA )/i LBSi"GZfERO-Y*GRA.VI T

9. DV=-FAN'~ SIN (SIGMI\) /'1LBSSZERO-Z*GRAVIT

ii. RHS=DW& I &D V W&U&\ V 1

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3. 1. .4. SETVI/ C>

------ --- ------------ ---- ---- ------------------------ ----------S....... . S E ....................... ......... ....................................................

2. $--------

.. A D.I......S ELCUl..E ALL D.I1VIULLY N A.I.E.) VA.R ABL.E9S ............ ...............4. $ EXPECTS THE CU PRENT STATE VECTOR I1N NSTATE

........ .. .. .......... ............................................................ .............. ........ .. .............................. .......... . .............. ...................................................................................................................6. W= !STAT E(1)

...................................... ........7 ........ .... . . .................... .............................. ......................... ........................................ ....................... ................................

8. V=!STATE(3)=........ ... ... .................... ................................................................................... " .. ................................................ ...................................................

10. Y=!\'STAT (5)........ .. .l- ..... Z.... H S . T .E ..-( . .................................. .................................... .................................... ........... ........................................................................................... ................... ............

12 T=tSTAT-(7)13. $.................. .. ..............

14 $1 , " W.... L...- . ......... - ., - ? 7 .? 3 Y ) " ............ ...............................................

VI - E.A . -.....-.... --?---...............-..... ......... ..............

16. UPREL=U- Ot'EGA (A 3 2'Y-A 12Z)......... . . .. E.. . .A .. :.X ..).................................................................... .... .......... ............ ........ ...... . . . . .

18. $9.......... ............. VE L. . .1 EL...U R L +, .EL+.V.. . E .L.).... ................... ........... .. . ........................................

20. $..21.. .......... .................... ............... ..... - ----- ----.-.- - - - --

22. CALL NEWCHT23... CALL NE ..AG....... ...........

24, CALL NEWTHRS

...... 5 ... ... .. ................................... ........... ............................................... . ....................................................................... ...... .................................... ........... . .....................26. END

S'E Tv .4 , -,f - d c

3. I. - NEW rT- RS

.3.. ........ ... . ............................................... .

30. T -------------------------------------------------------------------.

2 0 S --- ------------ "'" '"'------ -- -- - - --------I- --- -- ------------------- ~ -3 .I..(.. LT.XET. . . ........... ...... ...................4 . REOUCE MnOT Avn oECALCUJLATE ThROTTLED THRUST

............... ................. .... ......... .......................................... ......... ....... ........... ........ ........... . ..............

. . ............ ....................... .. . . . . . . . . . . . .. . .. . . . . . . . . . . . . .

o EW + R I C o 4HTO3T / e-,cYu jA T THROL EDe THRU S

..... .: 3 , . . . .. .... . .....- .. . ...... . . -.. ..........

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3 je&Uc 6c~ c(

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li CONTIIWA ,A- -

bc 4 S ITY(6+LT) 410'f~,j c

ZLII

3 ....6. . . .

19. MACRO NEWCHI. 2 T ...... ....... .......i i - - -- - i i i .....- -- -- - - -- - - -- --- "- '-.

3. IF (INPHASE NE 0) GOTO 1S.... F I R S T I N I T I ........................... ......AL I Z T N....................... ...................................................................... ........5. C-IP=fl6.CHTY=U7. RETURN

9.- CONTINUE10. T-. IlNPHASE NE 10 3 211. $ PHASE ONE

......... VE RT ICAL R.ISE ...................

13. CHIP= 0

15. RETURN

17, 2 CONTINUE.T8.T.. INP H ASE N 2) ,00 .. 0* ......... .. ........ .........

19. $ PHASE TWOS......... $ ........... TILT OVER STARTING T IM OF PHASE IN P S E I NP ASE 7 ......................................... .............

21. C I P=CHIDOT- I T-PHA SE (I NPHASE 97) )..22... ......... ..HTYI ............. .....

23. RETURN

25. 3 CONTINUE-- .......... (-I P H - E---N E --- 0 .............................. ......................................... -..................................... ............ . ..... .

27. $ PHASE THREE2 8 .......... ........... -V T Y - U R ..............................V I .........N............................................................................................ ................. ........................... ......................... ....2 829. CHIP=AT AP2( WREL ,U EL)

- -0 1...... . .. . . . . ... . . . . ...............................

31. RETURN

33. 4 CONTIN UE34 IF (INPHAE G..TO.--

35. $ PHASE FOUR........ 3 6 .. ........... C H I .E -tHZE --LEAV S- C H 1 -- A n --CHIY A-S THE Y AR ....................................... ........... .........37. R TURN3 8 ........... ............................................................... .. ............................ ........................................- ........... ... .................................... ................. ....................................

39. 5 CO NT IN UE.0..... 1 . NPHASE --- .. ? RIN T INPHASE--IN COR ECT - ............. .....41. $ PHASF FIVE42........ COW[POL TUPN.. .... .... . ....... -.--.----

43. C IP=Ai +A2? (T-PH4SE(INPHASE,7)......--.-4 ............" ................. HIY=O "....................-_. .. ..

45. $6 F D ....................... - ........... . . ........................... ... ............................... . . ............................................. ................

6, 0 TO F - i

rt I. A tL 1. .. .r 1 e a /~ 4w / a ya 1

1~w~Lc S-i 'i-U- ~LA q"C1. &e k 1 ~* F bj i k1 ~I~

3. Y 7. fNr -- Z .A...G14 -----------------------------------

... ...... .. .. W .A.................... ............................. ...... .... .2. $------------------------------

4. $ CALCULATES THE DRAG FORCES..... . .A:-'$ ..... .... ... . ......... ... ...... .......... .. F FAA 1S TH E AX IPAtL RA G.................... ....

6. $ FAN IS THE NORMAL DRAG

8. Q=0.5 DENSITY(ALT) (W *+U U+V VV..9 F A- R R C A C F A A) . ............. ...................R.................... .................................................... ............. .......................

10 FANO 0

C A .. A. . . - , 7 - I. 4. ... ..,C e

a/L io vj / ,o ,-ee -I f

. . 8. ..ENS.TY Ah4c./ C. . 3

23; $- --- - - ----- -- -- - -

24. FUNCTION ENS ITY ( AL TI TUD)2 -- --- -3. $ LOOKS UP THE DENSITY IN A TABLE IN STEPS OF 10 000 FEET"" ................ A B OVE 20'0' 00 FEET RE TURN S ZERO AS OUTSIDE THE.ATMOSP HERE ..........5. $6.. I T TUD 0...0 .. O GO TO O. ... ...................

7. DfENSITY=0

9. $........... C O ................................................................... ..NT U E..................... ......................................................................... ................................... .....................................................

11. DENSITY=POW(ALTITUD/i0000)

t. .. .. , -. .4 ?5'v ( L ,,

-,&c uLo aM"Vd LedA / ( ,.

16. FUNCTION MACH(ALTITUO)

3, $ HERE ONE NEEDS TO LOOK UP THE SPEED OF SOUND FROM A TABLE... .UCH A T.ET 0 T:-ISN0 TA AILAB LE TO THE AUTHOR .............

5. MCi- = 0

2. $

19. $

21 FUN CTION CAC (CHf 0 AQ)...... . .... .. .... ..... .. . ........ ........... .......... ...................................

3. $ . GOIN A TATLE LOOKUP N A TALE UNAVAILABLE TO THE AUTHOR

1, $

... ..... -

21: FUNCT IONM o -A(MACHN

c3 $ "N4 c ,,q- tA TAL UNVI-cLu TO ? 4

............ ............

EAwD

t / d. . .. *. /. . L ra , A e Ak ./ , , rx .< J ucld +( rJ< <

. c, ..............................------------- - - - - - - ----..... . . . .. . . . . . . . . ............ . - - .......................................57. MACRO NOFUEL

3. $

. .. ... ....... . ....... F.IN .LAS.L. .E.UE.L. ED ST.I EP......................5. IFTMFUEL LT 0) MLBS=MLBSS+MFEL

.............. ... .. . - ...................... .....................I.... ................... .... .......................... ............. ............................... . ...... ............................. ................................... .....................................7,.

Se.. . . . ALLOE T H -0 C KE. T C-OAS.. - ..................... ...........

9. $. . .............-...... .. .. ........ .... ........... . ..... ......... ... .. ... .. . ......11. THRUST=OS 2... . G ...................13. END

u E- F r PL Y k (I C. 4

TAA a& L .. • .cu. i It..-

.....I L , - .. 6 7 .. .. .

et <. l.c l. - L(C. a,,. ?4td

S-A t ch4 r ...CL(. .4 (z- itk ee. l.4 .. • . .

4c oe.u <. .o kes U44 Au - 1 c

3. 4. k. s4v w 4S

36. MACRO SAVFHAS......... .............. 2" ' " " " " " " " ....... : = -- " " " " -' ..

3, $ SAVES THE STAT. OF THE SYSTEM AT TE BEGINNING OF EACH PHASE........... *0- CA LLREPH S CAN RESTAR T-TAJ ECTO RYFROM T HIS POINTO NWARDS...........5. $6 , I N P AS E T P S ................. ......... ......................................7. $ COIECPTEIATE A COLUHN OF I1iPHASES IN TRAJ TO INDICATE THE..6 $ ST,'RT OF A" NE PHAS AND THE'i " F START FIT.......9, SCR=iTNPHASE - RRAY (TRAJI TM)

1 0 S C 7 ) = S T T... ............ ..................T E .. ..... ........ ........... . ...................................... ...... ....... ............ ...................................... .....11, TRAJ=TRAJ.SCR

.......... 12 $ SET COINS TANT -A IFO R CONTRO.T UR IN-PHASE F-IVE...............-....13. IF(INPHASE EO 5) A1=CHIP1 4........... C A L S A T ............ ............ .... ..................C A S A V.RA............... ................................................................................................ ...... ..........15. PHASE(INPFASE, ARrA Y (7, 17) ) =STATE16. PHASE(ITNPFAS , =1S............-. .-..............

17° PHASF(INF AS T 9) = FU EL...18 ..... PHAD PSE (, = .I-t\t P S.. .). . .. ......Ei P........

19. PHA SE (INPHAS, 11) =TI-RUST20............ .. TPHST OP STATE(7)T +TPHASE (INPHAS;) ...... .............21o END

$ A4147 5 5-- Ac'dT i/Au j-Z/4ob To ca p/ ,I e

a i-',/u.neL - i i 4 ,. ) & -,0. / zi 2 T ro2 . ><..

c / Al "4 4 4, .1

c. endcdci AA/ + .A -d

- ----------------------------------------

32. MACRO PEPHAS

3. $ RETURNS TO A USER SELECTED PREVIOUSLY ENTERED PHASE-. '. ....... .. ............ ..........

5. PRTINT'WRITE 1 2 3 4 OR 5 FOR PHASE JUMP '

... ........... NUI .HASE . ..............-...... .. ......... ....... .. .....7. IF(INPHASE GE .5 AND INPHASE LT 5.5) GOTO 10

. .. N Y U C.. N.._.D. ... CHO SE...S .........................9. RETURN

11.R . T . C OOIINU

13. .TIME COLUMN OF PHASE IS PRESET NEG. TO INDICATE UNENTERED PHASE......... .. .. .........I .E . H A S E N . H.A S E , .Z G E ... . ...........................2 0.................. ............................................................................. ......................................

iS. PRTNT'YOU CANNOT RETURN TO AN UNENTERED PHASE'........... E. ............REIU .R.N ................... ... ................ ........................ ................ ............................................................................ .

17. $._ _1 . ..... ................ ........ ................ .... .. .... ...................... .. ......... ........... ...................... .. ... ...

19. 20 CONTINUE.. . ........... ...... PRE I.USLY EN ERED. PHAS.E HAS EEN.....SELEC ED ............. ... .. .......

21. STATE=PHASE (INPHA SE, ARRAY (7,1i #7)-)..... 22.. ........ A . EA .E ............................. ................ . ........................ ............... ............. .. . ....... ............. .............. ..........

23. MFUEL=PHA SE (TNPHA SE,9).. ... .. . .........CH S E I N S .E , ... ...... . ............. .............................. ..................... ...................... ................... .................... ............. ................25. THPUS T=PHAS F INPHA SE, 11)

..... .... ... S IA . . .. P A SEA SE ........................... . ... .. ......... ........................... ........ .......................27. NONSTEP=P

..... .. ......... .. ................. . .............. ............... ...-......... ... . ... . ................... . ... .................................................29. CALL SETVAR. ........... .. . E EY. REENTRY , A .PASEP.UT IN INPHASES IEAND .. 7.77.7 .............31. TRAJ= TRAJ AR AY () INPHASE&STATE(71 &ARRAY (TRAJITM-7)17.777777777

__I .._..3.2 ....... .............. ............................. .................... .. ... ... ........ .... .... .................................. ... ............ .... .. .... .. ... ..33. $ TO AVOID POSSIBLE FORWARD JUMPS, RESET TIME AS IN INT

.... 3....... ................ WA.BU. NARD ... HA SES. ..ONLY - ... ..... ........35. TF(INPHASE GE 4.5) GOTO 40

......... 3. 6. S C........S 5 P .H A S E ....................................... .......... .......................... ......... . . ... ... .. ................ .. .........................................37. DO 38 T=1,SCR.. 8 .... HA....-EPH.. ........... .............

39. 38 CONT INUES....... .... .......... D ........ . ..C T.IN. UE .. ..... .......... . .. ..-...41. S

2 ........ CA ....... LL -SAT.ZA......J ......... ... ...... .......... .43. FNP .

-<v*

~C~C LY~mz ~t~ Cc~ei 20 iCltl-"1k" r i

yc

*~ ~ ~~f A];- wc{ '-

[-71

sLCA 2t -I

4 .V 6

i14 'SPA T/EiT

lipyIt qZ. 4- C k0 7 L-Xk-CL.

........... .9 ...... ........- -- .- -- --. .-.- -. ... ...... . .. ..- .... . .. ... ...- .- ........... .....50. MACRO SAVTRAJ

2. ""SAVES TRAJITM ITEMS PER POINT IN A VECTOR CALLED TRAJ.. ........ ... .......................................................................................................... .......................................... ................................................ .......... : ....... ................................................ .......................................

4. SSRPCH=STATE5 SC P 'C H ( AU T ....................................................................... ....... ...... ..... . . ...

6. TRAJ=TRAJ &SCRACH&G CHIP/PI 180&MFUEL&THRUST&VELREL. 7. ... -EN .....- .. .....

54 VT7RA T- dtcz-icti ."L act4 v et.- ?fZ4A

TO u-m-' ue!<dx la V HAS c( f REPt/ffS -< o-c_fe~uhue 1 TAj- ruii Vce r * a @,6; 11 TnAv,,TH-i -A j--T d

TIRZA TTrr1 shkXd k ai- (A ryT) 9e Vf A()L,e >k4 s7a2)d £c M-c' Sv7R A4J7

Ti J a vtudA d LJ t e c @ a . Out a L & EP&& I .

dh c.ax dewc. fl ce / et, :

THgRFir

V&ELZRL

51 ------------------------------------------------------------------------52. MA2CP ITPA.JSHQ• 5 2 *c_ T .Q.L J SHt ..... : ................................. .... .................................... .......................... .. ................................... ............................... . .................. ...... --

. 2. ...................

4. $ GIV.S A FIRST LOOK AT THE TRAJECTORY

. . . .. . . . . . . . . ...........................

6. $ PESTPUCTURE TRAJ AS 2-DIM ARRAY WITH EACH STEP IN ONE ROW

......... .. ........ S. : . . . . . .! A .......................................................................................................... . .......................................................................................................................... ........... ...

8. TRAJ=ARRA Y (SCR/TRAJIT iTRAJ ITM, TRAJ).............. . R. .T ....... ............................................................... .... ......... .....

10. s RESTORE TRAJ TO ITS ORIGINAL FORM (ONE-DIMo ARRAY)

..1 . • .. ... ~. . . ...A S R R .. .. ... . * ........... ....... .. . ....

12 EN..... ... ...

7Tr . 1s + - -4 . A .. . . ... . -+ c.ot,

,, .. cAr c, <. , i,.o o,.-, . r.., . X., ,,- lu.

d C . .oL

- -" Tw ,P ),, a- T< r> .a o

3*. t '/. TSTJ .T.6.'

7. MACRFO INSTAGI2 ........... $- .........

3. $ INITITLIZES QOUNTITIES CHARACTERISTIC OF ROCKET STAGE4"Si'.. G ...$ F 'I R STE.. .S T.. . . . . . . ............................ .......... .. . ......... .......... ............. ............5. $6. $......7. ML.S=3.5E6

........ ... ..... BS WEIGHT OF ROKET9. MFUEL=2277400S.... $ .............................. .................................................. LBS .......... WE G HT OF F R ST ST AG F UELW...................

11. NENG=72".......... $ .... ... ...................................... ....................................................... ....... N U M B E R O F E N G I NE S .. . ............... .. . .................. ....... ...................................

13 T RENG= 80 OOOO14....... $ ... ........... S T RUS T PER - NGI N E .............................

15. TSEALEV=O6' $ ----------- - T V PCUUW THRUST GIVENTT FOR SEAEE

17 . MDOT=20 8118 . ........................... S!TSE. ............. WE IGHT F t W P ER ENGINE AT FU TROTTLE ........19. AREAOZ= 8 , 14

S..................... ........... FT 2 - NO ZZLE-EX IT AREA OF ONE ENGI N E .....

21. AREkPEF=11950"22 .......... $ . ................... ...... .. ......... FT 2 ............... REFERENCE AREA FOR DR G CALCU ATI NS23. THRUST= THr FENG' NENG24. ' GE (TEROTST-. F.A.7M S . . . . ........................-..............25. ISP=THRUS T/MDOT2 6 ........... E N ) ....................... .................................................................. ........ . ....... . .. ................ ........... .. .. . . ....... . .

lIASr4G i 6' 4 1At eb 4 a

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T.f . ,i , / l- C h+ , .c u / c7

Tw -tPat 8 vwt. > +6 t- 70 T-R

2. ; /

2 S----- -------------------------------- --- --- --------------------

3. ........ ----- ...---- --.......-- --...-.-.-- ......................... . . . . .........

4. $ INITIA.TES ALL VARIABLES FOR A FRESH LAUNCH

6. S

S...... ........ ........................ .................................... . .. . . . ... ....

9 RE'A'PTH 20 .925738E ....... ....... ..... .... ..... - ...........

10, $ FEET RADIUS OF THE EARTHl. O.EGA.. .Z................92.. . ................ .......

12. $ RAO ANGULAR VELOCITY OF EARTH-1 3 .......... P A V = 0 7 6 E 1 .. .... ... ...... .. .... ...... ....... .. ..... .....................................*- *.................................................................---.14. $ FEET**3/SEC' 2 GRAVITATIONAL CONST. V EARTH 'MASS15.2.. GZERFO 3 2..17t o 0.486........................................16 $ FT/SEC* 2 GRAVITATIONAL ACC ELERATION- $ ........ .......................................................... ........................................................ ............... ..................... . ................................. ..................... .............................................. .......................................................

18, $ THE 'ARRAY CONTaINING THE ATMOSPHERIC DENSITY SHOULD BE FILLED9 -$ +. TITH-TH E PROPER 7-VALUES FRO. A SUITA-BLE ATMOSPHERIC"MODELC.-.....

20. R W=ARRAY (20) 0-2 1 ~ .......... $ ............................ .................................... . ............. .................... ................................... ...........................................................................................................................................22. $ GEOMFTRY OF LAUNCH SITE

24. $2 5 ......... Z 4 7 P 8 .............. ........ ................. ............................................................. ............................... ........................2 5 .A Z T1 8................ .. .1 8.............26. LAT=28. 5 F'I/180.27.2" ~ THETAP T/2-LAT...........-..... . - . . ....28. $29. 4I? COS(A ? T STN(THETAr -...

30 A??2=COS (TFETA)31 . 3 -S N ZI ) S THETA) ......... ............ ............ .............. ................. ...........................32, $3 3,f -t P C C K T I T S -LF ............. ......................................................................................................... ............................................. ............ .................................

34. $

3 5.. .. . .................. ......... .. . ...................................................... ........................ .................................... ..................-....... ...................................... .....................................................

36 , O= 03 7 .......... .L T f-.10 . ...................................................... ......................................... ...................................................................................... ..................................................... ............ ...... ...................38. CALL INeSTGI-39. 1.-..$ --- - . .............. .. . . ... .... '40. $ INITIAL STATE OF THE INTEGRATION PROCESS.4 . ............. . ....... w. * s. .. ... . *Ww .. . . . ......................

42. $-43. .. ..... ................. ....- ..... -- .. ... ... ....................- .. ....

44. STATE=ARRAY(7)45. ST TE I) ~F EART O G.ST W(THTA .ST ZM............... ..........................46. STATE(2)=07" ........ T A T ( =T * G A N T H T AM .................................................................................... ..........................

48. STATE(4)=049 . STTE 5 EART........ . ........................... ............. ....

50, STA1E(6)=05 1 . S T (7 ) ........... ........................................................ S T.....T.. ... ............. ....... ................................. ..........................T..... ................ ..... ...........52. NSTATE=STATE5 3 IN P A S E = 0 ............................................. . ........... ............................................................................

54. SIGMA=O55 AL S E T V R . ........... ......................................................... ................ .............. ........... . . ............ .......... ............ .............

56, $................ 5 7 $ ......... . TRAJECTORYA NT STA R TI POIN TS OF EACH P HASE ...............................

59 -$ -60. TRAJITM=12-61" TR A ARAYTTR TT''- D62. P-ASE:ARAY (5 1;_1)

........... 63 $ SETTIM E-C C OtP TO I -" TOE RECO GNT ZE UNEN TER - PI ASES SEE REPH AS...64 . PHASE(, 7) =-1

66. $ CONTRCL OF LOGIC FLOW OF THE FLIGHT.. ..- -67 . --- --- .. .......... ....................... .. . .... ........... .68, $69........... TSTF100 ....................... ... ... ............................................................70, GMAX=371 -. .... AX .. ....... ................................... .................. ......... ......... .....................

72.o ALTMAX=200000.......... 7 3 $ ..... . ....... ...... . ........................................................................ .

74, TPHASE= ARRAY (5)7 5 T P H S E . ........................... ... . . . ................ ............ ....................... .............. . ................ ............... ...............................................................................76. TPH ASE(2) =50

............. 7 7 T ............................................................................... ....TP........ ............................................SE 3 3.............. ......... ....... .......................... ..... ....................... ..............78, TPHtAE(4) =4079. TPH.SE5 ... --.. . ... .......- ...-..........

80, $............. 8 ........... CH I O8 .......... ...............O T........... .................... ................................. ............. ...... ....................... .

82, $ RA DIANS RATE OF PITCHOVER IN PHASE TWO

84. $ RAD/SEC CONTROL TURN RATE857 SAVS'TEP 2 - ----.-.-.----8 5 -0 .........S A V T P = 2 ......................... ............. ................... ................. ............. . ........ . ....... ... . ...... .............. ........... . ...... ... .................86. NOWSTEP=D

. 7 $ .8..................- . .-.-------------------........................... ..... . ............... ....... .. ................... .......................... ....... ..... .........88. $ TEMPOFARY SETTINGS

........... 89" "''". ............ t-+++ -++ ++"++ ++ 4++' + ++++'4+++-+-++*+++ +i.4 + i+ . + -..

90, FAA=0............ 9 1 ; F A O ......... .................................................................................... . . ................................. . ............................. . -...... . -.................................92, $93 . CAtt S A VP AS ........................ -.-. -. - ............. . . .......... . ................. ...........................94. EN 0

-.i . .. . .... ....f~ Lc~ Srie"-14u.

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2. !.LEN(TH . -- --U... -.. -. .- - .- - - - --- -3. , .M A .. I. . ...................................................... . .................... .......... ........... ........ ...... .................... ..... .. .2. ---

4, $ INITIATES ALL VARIABLES FOR A FRESH LAUNCH

6- $

10. I FEET RADIUS OF THE EARTH......l ............O E G A Z . 2.e. . 1 . E .5 ............................................................................................... ...................................................................... ...................................... ........................... . ...........

11. DMEG-- 2 921 5 5 . -----------

12. $ RAD ANGULAR VELOCITY OF EARTH

14. $ FEET**3/SEC 2 GRAVITATIONAL CONST.* EARTH MASS..................... .G .Z E O.Z. . f ................ ..................... .................. .............. ..... ........................................................ .... ............................ .......... .................

...... . .... .......... .s .. .. ....... . ......... .. ..... I .... ... ..... .... .. ......... ... .... ... ...... . .. .. ................................ ..... ... .. ...... .. . ........................ ......................18. THF ARRAY CONTAINING THE ATMOSPHFRIC 0NSITY SHOULD BE FILLED.19. - ... 1 T.H.... .... PEOPER VALUES. . ERC ..A ..U....BL.E.A.S.HR C. ODEL...20. RON=ARPAY (2 0) D

24. !

26. LAT=28.5 P1.80 a27. .... T2...... APT2FL TAT-. .-P. . . . .. . . .

.. ......... . -.. .. ... .. .. .. .... ............................................... ............. ................. ............. ...... ................... ......... ... ... ........ ... ..... ...... .. ......................................... .. .. I..........

28. S29... Al?=C ( ZIMl*SIN(THFTA................... .. . . . ... . . . ............................. . ................................... .......... ........ ..... .....................30, A 2 ?=COS (.THE TA

32. $3 3 ........ ............ T H E ....R OC .. II EL .. ... . .. ........ ....................... . .................... ...................................... ..........................

...... s . ........................ ..... .......... ..........

36. Q=o

39. .

. , .......... A L . =- 0 .................................................................................................... .................. ..................................................................... ................................................................... ...............

38. CALL INSTAGI3q.. . .

.42. .4 3.... ...... .5

S......... ...4 S.T .TT .) , 1 t................... ....... .... ............................... .. .. . ....... ............................ ...... ...... . ..... .. .

4 o. STAT=ARPAY (7)

46. STATE (2): 0........... ............ E . .. E . . E A S...H. A .C S................................................................................ Z......................................

48. STATF ()=) 0............ . 4........... ................................ ......................... ........... ..................................... . . .. ......................................................

50. STAPTF(6)=............. .51., ........ ST.P.T

52. N!STATF=ST TE................ .. ........... . . A . . .. . .. .. ........................................ .................................. ...... ................. ... ....... ......................................... ......... ................ ................................................... .......................................... .

51. SIGMA-

.................. 5...... . ......... . .... R. T .................................. .... .. ....... . . . ....... .. ..... . . E ......................................... .......... .................................. ...........

5. ............... AND.............. ...... R.IN..... .. . ..P.CTNTS...OF EAC ASE58. -r Art A; V- -* V

60. TRAJTT!=1 26................. .. .T R J. A R RIR. . . .................................... . . . . ......................................... .. ......62. PHASE=ARP AY (5%11)

.............. SU........... ........ ........... .... .......... ECO..GNIZE... ..UN.E NER.ED ..... .ES.SEE ....RE.HAS64. PHASE(,7)=-1

........... .. ....... .. .. ............................. ................................ ........... ............66, $ CONTROL OF LOGIC FLOW OF THE FLIGHT

.......... ..... ....... .............. ......... .. ................................. ........ ... .... ......... . ........ ......................... .... ........ . ... ..... ...... ........................... ... ....... .............................................-.... ...............

68. S................ ............. IS. T .O P.. ........ ..... .................... ... ........... .............. ................................ ........................................................................................................... .........

70. GMAX=3

72. ALT AX= 2 0 0 0.. . ................................. ........ ........... . ..... ........... ........ .......... . ...................................

74. T P HIASE= ARRA Y (5)

76. TPHASE(2) 50................ 7 .7 . . . E... ..- 3 .................................................................................................... . .............................................. ................. .................. . .

78, TPHASE(4) 0. 79.. T............ ..... AS .E....5.......2.. ........... ............ . .. .................. ...............

80. .T.. 81 .......... i. . .. I. ....... ...................... ..................... C....... ....... .....................................82. RADIANS RATE OF PITCHOVER IN PHASE TWO

-A2 .:1 N I................. 3 ............. 2.. .. .. .. ....................................... ......................................................... . ..........................................................84. $ RADfSEC CONTROL TURN RATE8....... ... 5 ............................ -S-A-s T .E 2 .. ... ...............................86. NO STE=(

8, $ TE!4PORAPY SETTINGS89. $ + .+ +. - ++ ++T+ +-+++4++ 1++++ + + ±. + +-- -4 ++ ++

90. FAA=O..- 9 .... .- ............................................................................... ... ... ............ ..92. R

.. 93..... ........ CALL ...SA .P..HAS ........................ ........ ..... . ......... ....

94. END.................... - ... ............... ............... ... ... ..... ...... ....... ....

.................... ................ ......... .......... -- ......... ....... ............ .................... -7. MACRO TNSTA'1

......... 2.... ........ .... . . . . . . . . . . . . . . . . . . . .. . . .... . .. . .. ...-...................... ................................... . .. . ...2' - - - - ----- -- -- - - -- -- -- -- -- -3. $ INITIALIZES OUANTITIES CHA.ACTERISTIC OF ROCKET STAGE

...... ......... .......... ... . ..... ....................................... . ................. . ...... .... ................... .... ......5. $

......... ............... - ... .......... I .......................... .............................................................................. .................. ..................-.. .... . .. -. .. . ... . ........ . .. . ..........7. MLPS=3 , 5F 6

1 n' 11-Tri'T rr nfl"r--

10 N. $ t 7....... . L ........ WEIG . .. F..I.RSI. S.T.SAGE UEL.....L...i. NENG=72................. ... ................. ........... ........................................ ...... ........ -N U M E .R ...O E N G N S

13. THRENG(=80 0 0,3

15. TSEALEV=O.......... .. ............ ............ .. ........... .............................. ....... G. ........ ........ ......... .... \.PACU.UM...THRUST.. GIJEAN.,, 7 .CR SE.ALEXE

17. MDOT=2081... 18. $ --- ............ L.S/..... ........ H FLOW. L.PS..Lr E GINEG (AT FULL.. TROTTLE

19. ARFANOZ=q 8., 420.U- ." F 2 ... Z.. . -- N

21. ARFAREF=i 19 5f.............. -22... 2 ... ..................... E E .EN A E .... R. D AG CA LCULATION S ..........

23. T H R US T= THRE NG 1 NEN G. . .. ...... . . . . . . ...2.4..... ....... . ... ....S/ L...........S......................................25. ISr' =T HPUS T/MODCT

.................... 2 .. .......... E .. .......... ...................................... .......................... ...................................................................... ................... ..... ................................ ..............................................................................................8. $

10. $-------------------------------------------------- ------------

...... ... ... .......... .A LL .......... *.................... ................... ..................... ................. ..... .... ............................S .. ....................... ............. ......................... ---- - ---- --- -- ---- -- -- -- -- --- -----

........ . . . ........... . . . ..... . .. . .... . .............. . ......... .................................... ........... ............... ...................... ........................................................................................................... ...........

4. $ EXPECTS TFE CURRENT STATE VECTOR IN NSTA TE................. ... . . ............... .............

6. _W=?STATE! 1)........... ...... U S A .............................. ....... . ................. ............. .......... ..................... ............. .................. .

8, V=PSTATE( 3)........................ ........... .. . ................. .. .... . ................................. ................ . . ............................ ......................................................... ............... . ................... ...............

10. Y=IfSTATE(5)11.. . N....STATE.) ................ ... . . . .

12. T=NSTATE(7).................. 1 3 . . ......... ...... . . ........................... ................. ..................................... . ...................... ...................................... ....................... .................... ......................................................................

14. ALT=SQRT (X X+Y Y+Z Z)7 -REARTH................ ..... .. .. ...... $ .............................. ........... ..... .... . . ... .... . ... ...................... .........-............. . .. .... ..

16. WRFL=W-O4, GA ( A 2 2 k Z-A32 Y).. 17..... U...EL..E A2. . . ........... ..... ..............

18. VREL=V-O GA * (A12 Y-A22 X).................... 1.1-.. ......... .. .................... ....................................... ........... ........... .............. .... . .............. ............ ........... .................. ........................... ......................

20. VELREL=SCRT ( REL"WREL+UREL UREL+V R E L VRELVE

22. $................. 3.............CAL...... C .............................. . . ..................... .... ......

24. CALL NEWPRAG... . ... CALL .. .. ..S ....................................... .. ................ ............................................................. .......

26. $.............. 2 .......... . .............. .................... .. ................ .................... ..... ........... .............. ................ .......... .............. .............. ............... ...

12. ....... ....................... .................

14......._..5 .J.-...-M ------...1. -.RA.... .... __.._........_.... -..._................ -----------------------~.~~~~_~

2. $ --- ------- -- -- -- - - -- ----------------- --.. 3 .......... $ ..................................... .. ............ .......................... ..... ........- . .. ............. ....... . ................. .................... ............... ..................

4. S CALCULATES THE DRAG FORCES. . . . 5 . ........ . ........... . ................... ... .. ................. ....... A .......... I S...... . A.... X . D R A G ......................... . ......................................... ............... .................

6. $ FAN IS THE NORMAL DRA"............... ........ .... ...................... ........................................................ .... . . ... ........ ......... ................. .................. .................... ................ .......... ................. ................ ..

8. 0=0 . 7D En SITY (ALT) 'r (W*4 +U*U+ V V)

......................... 9.. ......... EA A A E CA. AC .(AL ).....................................................10. FAN=0

16. $1........... FNO ....... .. ...................-- -................. .............----------------------------------------------------.............. .................. .. , ........... - ...................... ...... .................................. -. 1................... . -.............................. ................. . ................................................... . ......................... . - .. - -... . .. .. .. .. ....... ...18. FUNCTION MAC H(ALT I TUD)

2 e . . . . . .

S.A....... UClI A.. .... E . .N. . .AVAILA.LE ...I. E /U....OR. ...... .. L...........5. ACH= 0O

....................................... E N D

.. ......... . --. -- -............................ - -................ --................................................-- - - -..........-- - - - - -. ........ ........... .... ......... ... .. -.. -- - ..-- - ..........21. FUNCTInN CA (MACHNUM)

... . .. . . .. . . . ...... .. . . . . .. .... . .. . . . . .. . . .. . . . .. . . . ..... ......... ..................... ........ 7" -- - - - ---.--..- - ...........................- -. ............

3. $ AGAIN A TABLE LOOKUP ON A TABLE UNAVAILABLE TO THE AUTHCR.... ....... .... .... 4 , .. ....... (.,.A ..... ...................... ............. ................ ......... ........................... ......... ....... .. .................................. ........ ................... ...... .... .. - . . . . .. .5. $.......................l..... ........ E N D _

22. $................. .. . ......................-......-- ..--_ .-- . .- . .. . . ... ..... .- ........... ... . .. .. .. . . . . . .

24. FUNCTION DENSITY(ALTITUD).................. 2 .............. S. .. ' .. .... ......................... .

3. $ LOOKS UP THE DENSITY IN A TABLE IN STEoS OF 10, 000 FEET............ ............ .. ... E . 0 .. D .....EE ...RE . UR S ZES. R.... PS EU I.S..... DE.I ... O.S ER

5. $........IE ALI UD..LE 0 ......... ........ ... ....... ....

7. DENSITY=P

. ..................... ....... ....

.I . .O TI U. . . ... ~-.... n ... i ................................. ... ..........11. GLOBAL POW,

.......... 12. .D ENSI.Y. YRN.ALT.IUD.1. ........ ...........................13. END

.... ... -..25.. ..... ". . .26. $

-2..---- --- ----- 6 __----------------------------------- - --

............. 27.......... .. .............. .. ..... . ....................3. TIFINPHA S NE 0) GOTO 1

.... ............ ............. ....... .. IA L . T. .......... .................. .... .. . ................... ...............................5. CHTP=

................. ......... C.H I . .................................. ................. . . . . . . . . . .

7. RETURNS......... 8. ........................ ........................................... ....................................... ..

9. 1 CONTINUE.... 10. .IE...INPHAS E.. E 11 GOTO 2 . ..... . ................ ... ..

11. , PHASE ONE12 ..... ..... ERTI..CA L. ... .I SE................ .....13i CHTP=0

_ _ I.,. CITY=..., E...................... . . ................. .......-..... ...... -.-.-.---.... --.---. . --. . . .- . . .15. RETURN...i..-. .... ....-... .- -...--. . --..-.---.--.....-....---.-.-. . . .- . - . - . . .

17. 2 CONTINUF8..... ....... F ..... . . . 2.)...G O T.Q 3 .................................. . ........ . . .................. ................... ............... ........... .. .....

19. $ PHA SE TWO..__2... ...... TL.-OY -1 STARTING TIME CF HAS N .. PHASE.INP ASE,7.............21. CHIP=CHIDOT ( T-PHASE (INPHASE, 7) )

.22. ..CH ... .... ............... ...23. RETURN

25. 3 CONTINUE

27. A PHASE THREE......... .... ...... ......... Gr VITY ............ .....u. .. .N.... ...

29. CHIP= AT AN2( WRE L ,UREL)........... CHI 3.0 - .......................

31. RETURN

33. 4 CO NTTfrdUE3.......PH...... ......... ......... AS.E .IF_.4 ) ......GO 5......35. ?. PHA SE FOUR7* pit r"T r - Tr- Ir-lfr e filT im nI e y a .

. * 'RtL I Uh'N-

39. 5 CONTINUE..... ............. I .. N.......E. .. E .. 5 .. I..1 AS....N RREC.

41. $ PHASF FIVE....... .......... .......... .. ..C N............... ... ................... ........OL N .............. . ...43. CHTP= Ai+A2? (T-PHASE (INPHASE,7))

................... 4 1 ........... W.. .Y.. . . . .. ............... ........... ................. ......................... .......................... ... ......................................................... .. . ......... . ............................. ...................... .................................................... .............................. .. .

29. $4.................. 3 .0 ........... T ............................ .... . . . . . ..................................................... ......................... ..... . .. ........................... .............. .............................................2. $

31. $-----'--------------- -- ---- ------

............... ...... .... .... RE.......UP ..NS ...- A U.S.E.R. S L . . .D.~. . . USL Y E I ERE......D .......-.................. ... .

32.. .............. .E........

2. s---- --

.................... 5 .... ....... R .......I... . ............... . .. . . .. ...... . . ............6. INPUT TlNPHA3E

...... 5............ .. .. ... A.NF..DI.A. N P . E ...._. E ...... N D....I. P A S E .. .., ................................5 ) ...... . ..................... . ............ .......................8. PRINT'YOU CAN ONLY CHOOSE PHASES I TO 5'

...... .N ........... ................. ............ . .......................................... . . . ......................... ... . ........................................ ........................ . .................. ...................10. $

.. ........ . ............................. ............ ........ ... . ................. ... . . . .............. ... ..... . ............................... . ...................... ...................... ....................... .... ................ ...................................12. 10 CONTINUE

......... 3 .......... I ...... .COLJ -. N. OF HAS E.. IS...P RESE..NEG ......... DICAIE....UNEt ER ED. HSE.......14. IF(PHASE(INPHASE,7) GE 0) GOTO 20

............. PR 1 U....... CA...NNE.R I . Y.U.. .R.EIUR.....I A ...U.NE.I.EPRED.. E.A.SE ....... .............................16. RETURN

... ... . . .. . . . . . . . . . . . . ... ..................18. $

.19... 20. O TINU. ..................

20. S A PRFVIOUSLY ENTERED PHASE HAS BEEN SELECTED.. 1.... .................... S I TE .H SE. S.E A RRA.. .. .................. .............. ......................................................

22. tALCS=PHASE( INPHASE, 8)23.......... ..... EUEL SE.I .HAS E,9.......................... .....................24. CHTP= PHASE(TNPHASE, 10)

................ 2.5.............. I US P. A S.. I. .AS E , ................................... ......................................................................... .. . .. .... .. ...... . . ........

26. TPPSTOPS TA TE (7)+TPHASE(INPHASE)... 2. NO.S...l.................. .................................. .. . ................

28. NSTATE=STATE................2.9 ...... CALL ....SE. A ..... ....... ..................................... ....................................

30, $ TO IDENTIFY REENTRY OF A PHASE PUT IN INPHASES TINE AND .77777....................3.1...........RA J RJ A.Y.. A S S A.E.. . ARR AY..RAJ -Z..Z.7 Z.Z ZZZ7........

32. $.......... ..... ........ AVOI .. ROSSIBLE... .OPARD....UPS, ...RESE... EAS..IN....II..................34. $ PUT FOR FCPWARD PHASES ONLY

...35.. N... AS ..E 5 .... G ........... ... .... ...........................36. SCP=5-INPHASE

38. PH ASE .H(I NF HA SiI I7)=-i39- 38 C. NIN ........ .. .......... . . ... . . . .....40. 40 CONTINUE41.42. CALL SAVTRAJ

................... 4 3 .. ....... E .N . ...... ................................................... .................. ........................ . . .......... ............ ........... .................. .................................... ............................ .................................... .................33. $

....................... .... S.. ..AVES . E.....E.....S TA .. E... .E...I. H.._. SY.STE M .... .I .... EG...... N ING . O, F ...... E... ACH .P . A .SE.....4. $ SO CALL REPHAS CAN RESTART TRAJECTORY FROM THIS POINT ONWARDS

. INPHA SF=T ND HASE i

o i j I a .. I U 1 , .. A O U I i. I ii.. U I MA Le 1.... ..... ...... I- . , SE. A .R ....... .A J . ......... ............................... ...... SCR=IN-fA SE .A.RAY t T R IJIT L....

10. SCR (7 )= STAT ( 7)

................................ . ................ ............ .. . . . . .............. ........................ ......................... ................................................................................. ....................................12. S SET CONST1,NT Al FOR CONTROL TURN IN PHASE FIVE13.. I.f.PI-$ E Q 5 A CHI.... ....... ! 3 .. 5......... f I !. I . P.._A 1.... .rH.. .............-C-H ............................................................. ........ ...... . .......................................................14. CALL SAVTRAJ................. .. ...... H S! .I E A A Y . . .= T AT E ................................... ................................ . . . . .16. PHP.SE (INPHA.SE, )=NLBS

................1 .7.. ....... .H E. . .! ). . ....... .............. . . . . .... . .. .... ...........................................18. PH A SF( I NP H ; o101 CHI

..... ..... . .. H A S E I N HAel l R U S T .............................. .............................................. ................ .. ..................... . ...................20. T P ST OP=-S TA T7 (7) +TPHASE (INPHASE)

................. . N . ................... ................................................................. ......................... .. .............................37. T

39!. 9- ------ -- ----- - ----- -- ---- ---- -- -- -------- ---- -- ----- --- --- ---- -

............... . . .......... A C .. ... E ! . . . ..................................................................... ............ .................................. .. ..................... ......... ........................................................2.. A ....

4. $ REDUCE DOT AND PECALCULATE THROTTLED THRUST

6. MDOT=THRUST/ISP....................... 7 ... E N ............................................................................................................................ .. .................

41. $................. ...2 .. .... ... ........................... ............................................................................................. .................. .......... ......... .................................. ............... ................. ............ .............................................. ...

4 3 . $ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

........... ... .......... . ... . ...................... .......................................................... . ................................... . .. ... . ....................................................... .................................................2. --- --

3. ......ON. STATE AND .DIVIDUL .. ARIA LES .S.O.ULD C........4. DURINT RUNGE STATE IS UNTOUCHED TILL THE END

5. .... ............ E.D..TAIE .IS UPDATED T..OGET.ER .R TH TIHDE..... .NDTI.DUAL VAR IA .L ES ..........6. $ NOTE THAT MLBS AND WHEN THROTTLED NDOT THRUST ARE FNS OF TINE

........................ .. ........ $ ..... .................. ............... ... ........................................................... ........................... . ..... ......... ........ . . ............. ............. ..................... ....... - .................................8. CALL NFWRHS

.... 11.. STAT.SA K .......... .......... .............

12. CALL SET AR...............1.3.. ., U S ....... ........M L.S.N..... .............. ....... . ..

14. CALL NEiPHS........... ... .........K 2 .H E HS.. ....... ...................... ........................................................................ ................ ..................

.7.......NSATE=.. T 2STAL +K22 ......2.................................. ............ ..

18. CALL SETVARS.......... .. ........ CAL L.....NEi_ .HS.. ...... ....... .... ........

20. K3= H" RHS... ......21. s .................................. .............. ............................................. .. ....... ........ ...................

22. Nf!S TATE=STAT E+ K3............ 2 3 .............. . C A L L S. ........ ................................... . ....... ............ . . ... ........... .... ....................

24. ML P S= Lr3S-N FN G* D OT H/2............. 5........CALL N........................ -....- ...

26. K4=HT-RHS

. 2............ ....... ....... .. ... .. ... . ............ .............29 ... TE..+/.3. ../3+.6.S.........30. NSTATE=STATE

...... 3 1..:......C AL L.... F.. ................. T... . ...................... ................... ....... .... .. .. .............. ............. ...............32. MFUEL MFUEL -N E N G M DOTV H

........ ..... .TH T AA)MILE BS ........-.... -....-.-.. .... .-. . -.......

34. FND

. .... ... ..... . . ............ . ........................--......... ..............8 . $ I

...................................... 77--2 --- -... .--

3. COSCHIP=('OS (CHIP).......................... .......... .. ........ I C .I . . IN .r .H .. .... .................................... . ................. ........................ ............ ..............

5. SIGMA=ATA N2 (VRfEL, WRFL vCOSCHTP-UREL kS1NCHIFP)...................... -. ......... GRAV I T. .U.sR.AVI L. (...X..Y.X .Y +~Z .- .51 .... . ..... ......... .. .

7. DW= (-CrnSCHIPFAN*COS(SIGA) +SINCtIP tTHRUST-FAA) )/ LD nsGERO-X '-GRAVi..................D............I:CH..IP..E .C. S.(SIG +C.. S I. ..( US . .)... L. S .... R ....

9. 0V=-FANS IN (SIGMA) /MLBS GZERO-Z GRAVIT... -................. ............. .......................................11. PHS=D1&DU&DV &WU &Vi

5.2.. .52. 1

............... .. ....... . .r. ..Y. . . . . . .. . .2. S----------------- -,-,- .3 .... ........ A E.............. .I R J E .C. O R.Y ......E.I . H E R ...B ...... 2. . S....... . I E R S I....... ... ... ..I.. ..... ....... . ......... .......................... i

4. $ THE USER SPECIFIED LIMITS IS EXCEEDED... ................ 5 .............. $ ............................................. ................................ .................................................................................................................................................................................. -

(6. DO 10 I=1,2CO.... . ENTEP A NEW.. PHASE AUIOMAICALLY WHEN i -CESSARY.. - . .. JIT EP. A -N E E P H A S E A ...... .. f.. ........... L .. t-...... ......... ........ S. ,. . . .. .& R .Y ........................ ............................... ........ ................C. .

8. TIFT LT TPHSTCP) GOTO 5. ......9 ....... A... T... OVER.-PHASE SIOPSA M AS,. HE S E ALL. V.A.. TANGE

10. CALL SAVPHAS............ .i1 i........ CA LL . . !CHI............ .......................... .................. ...*.... . ................ ............... ......

12. 5 CONTrIUE.....1 ....... IE . ... ...GE ..I S T.02 ........GOT O..... O. .. ............................ ... .. -14. IF(Q GT OMAX) GOTO 100

.............1 5 ........ E .I. A L T .....G I. ....A L T G .............................................................................................. ............................................................16. IFt(MFUEL LE 0) CALL NOFUEL

............. .7.. .... . .............. . ..... .............. ....................... .................. ......................... ............. ............ ................ .............. ...............18. CALL RULNGE.

............ 1 .......................... . . . ................................................. ... "20. NOWtSTEP=NONWSTEPfi

........... 2.1 ..... .....IF. MC SA .SIEP. EQ 1... ......CALL...S VIRAJ ..................................22. 10 CONTINUE

......2 3......... ..._ . . .".. . .

24. i........... 25 .... PR-INI -.YO-U.- -H.AVE COMPLrETD 20D STEPSW.IITHOUI.T REACHING N.Y LI I

21. 1$ CONTI-u

28. PRINT T,TSTOP,G,GMAX,Q, QMlAX,AL TALTMAXMFU L2 9 ....... C A L L .............. . .................. . .... ...... ......... .... ...... ................... . . ............. .........2.9. CALL I.PAJ SR 330. FND

. 5.......... .............. .......... ..5(. --------------------- ----------------------------

..........5.7 .... MACRO. ...- -OE UE. L....... ............. . ....2. ------------- -.. T .... .. -.. . ... . . .. .. .. .............. ....................................................................................................... .......

4. $ CORRECT HLnS FOR EXCESS FUEL SU6TRACTED TN LAST FUELED STEP......... L L.... ..... . * ...................... ........ ...D.. S- ML......U..

S......... ... .......... ...........

.... ......... .... . ....... .. . .....

1 .

10. MoT= rJ1.1. HRUST1 ........... . ... .. . ............. ....

1. G=n

1.3 .......END ............. .................................. ................. ...... . ..

58. - - - - - ---------------------

.......... SAVES TAJ I MS......... PE POINT IN AR C... ....4. S SA4VECS Tr A J I IM I T E P ER POIT NI'N A V;ECTR CALLED Fn~TR'AJ

. -,.t, c. -I- .- ,- i 41v.

ti TRAJ= TPAJ &S C R A C H& g&CHIP/PI 18 0J&MF UEL THRUS T F VELREL

..... .. ... ..... ................................................. .................. ...... ....... ................................ .................. ........................ ..................................................... ................ . ..........................

60. $

........... .. ....... . .. .................................................... ..........................................................................J S... ..... .................................................... ................... ...... .............. ...................

2. 8----------''"'-"

, $ GIVES A FIRST LOOK AT THE TRAJECTORY

................................................................... ................ .... .

c. ' PEST" UC TURF TRAJ AS 2-DIM ARRAY WITH EACH STEP IN ONE RCW

............... ................. . .C .p = ) ............................... ................. ... .... .......... .... ........ ..................... .................................................................................................... -................ ...

8. TRPJ=ARRAY( SC R / T R A J I T MI T R A J I T nM T R A J )

10. RESTORE TRAJ TO ITS ORIGINAIL FORM (ONE-DIM. ARRAY)

................. 11.. . RAJ-A..RP.Y. . ..1.R I.AJ).9 .... =....Y.J ......12, END

6. $

6 7 ......... . .... .- ........ ....

60 MACRO N.E DR G t-v+ A 4 LA ( ( {w <t l 1

0 ..i7r........ .e......... E S. . .3. .......... ..............T........ R .TR SE. ERE R ......... . ..

UEi 3. S LEAVES DRAG PRESET TO ZERO N .A..

S.. .. .. . . . . . ............. ........... ................ ............4 -' , d . ... ........ .L ................................................. .................. .............. ............... . ........ . ...............................

70. $.. ....................... ......... .. 7 .1 - .. . / . ... .

. ... . " ......................................................................................................................................... ..............................

72. CALL INI

74. H=2 ___ , - <.-r -

............. . 5 ......... LL ..... L. .... .............................................................................................................. ................... ......... ....... ...................................... ............................................... .........................

4000, STATEMFNTS EYECUTED.TYPE GO OR QUIT.. , -

................. S ATEMENTS...E ECUED. Y ...GO....OR .. ............... ....................

4 000,. STATE!ENTS EXECUTED.TYPE GO OR QUIT,. _ _ " o .o

T'1S 6C? 2 . 9.nl10 0 .. ..

TSTOP= 250.00000 'b.acW Styj. c- t .,~ <. .

GtIY .0 0 0,-0 0. .............. ...... ...... .. ...... ........GMAX= 3,001 O000T

... .... .... A L T... A V.=. .......... .............. .. ..... . . ....... ... ... .. ,.'...........

F U E L .......... 1 ...5 1 8... 7 . 7 ........ ........ .. .. ............ ... 1........ ..... . .... ... .............. ............

QMAX= 1 ,l 00000

AL TrA= 20000. 00 Zoo 000

NCO (TR AJ) 50 12 Vv V X ALT '

.-- .. G ... .F L ........ ..........................................

0. 0. 0 ,T i4 EtI L 0 0.

S...... . . . .. . . . ................ ........ ...... .............. . ................... .........................

TR A o 0, 0.

.00 00 1.0000000 1 i.00 00a0 1. 00000 1.0 9,00000

00 0 ..................... 3..... ....... i . L 0000 ..0......O ........ 0.........1. ......... ..0000000 1.0000000 .. . .. . .............. .............. .......

874. 4 7205 0. 10166676 0. 0." 0 ' 0, 1.68.00 0O.. 2Z.Zk ..0.. .......................... ..................... ....................................... ....... ..................................... ...... a ..........

5600000.0 .36379788E- II

874.46131 7 9 061470 1 .16.6551 3497.8739 157.64779

..... ...... 5 .3.6. .......... ... 0 0 0.......................... .. .6 2 . 8 ......................... 0 .. .... ...................................... 2 2 1 9 3 2 .

5 00000 .0 7 . 4 0544 4

874 07 161 .672 4 9 1 .6 176 695. 6618 639,97404

-) U I1U ij 0 j-L 6e 5bU 444 -

8 714. 3753 I 2,7 .96032 1016 .551 10493.278 1461.4289............ . .12 .99 ...5 1............. ......... ... . .O .0 o ............................ .. . ........... .......... ...........................2 5 6 . ..........5600000.0 248.99229

874.30014 338.058 97 1016.4677 13990.636 2636,984,1 62-5.6.5 1 . ........................... .............. 7 1 4 6............. .. .............. .... .... ,32 ..........5600000.0 339.43498

874.20347 432.10961 1016.3553 17487.650 4182,.1637........................ 2 03 .3 . .. ....... .......... ..... O D ... .......... 5 2 ..................... . . .................. ... 1 9 8 6..0 6 05600000.0 433.82973

2.00a0 0 2, 0000rH0 2.0000000 2.000000t1 2.00000002.0000000 IHIOO O.2.000000 2.0 0 2.0000000

... .. .. ..... .. ..... ........... -............. ... .. .. ..... ...... ...................... ... . .. ............................ - .- .... ......... . ............. .......................... ... ....... .................

884.39584 529.94866 1016.2180 20997.944 6112.7697.2.3...2........................ 2 ..2... O O 0.0 .1 .7... 55. . 5..2000000 1927 92.05600000.0 532.081455

915.61516 630.13889 1016.0557 24590.859 8441.5012................ .......... .......... ...............................................................56000000.0 6 S P3.00 283

968.39855 7 30.855f2 1015.8686 28351. 624 1117 4 .29 6............ 3252*.-87 Z 32. 00000.0 . ..i. 858358 15,600000 18.1.256..05600000.0 739.40775

1043.1377 830.19925 i15.6567 32367.329 14309.707

..................... .. ...... 0 ...... .. . ..... .......... ....... .

5600000.0 849.85856

1140.0714 926.20749 1015*.4199 36726.326 17838.636

1259.2780 1016.8642 1015.1584 41517.605 21744.11444 7i1...222 ..... OO..... .. i4..95--6 .912. 31.200 ... ....16 3....52.05610000.0 1090.0291

1400.6696 1100.1115 1014.8721 4630. 137 26 0001 122............... ....... 4 V .7 .1 - .2 9 1 .................... ........ ..O. - - -0.. ............. ............... ...., -9. -4 -..... ........ ............ ..... .. ... .. ......... .. . 8.... ... ..........

5600000.0 1222.1916.. ...... ........................... .... .. ....... ....... ......... . .......... ............... ...... .. ......................... . ....... ...............

156--3.9863 1173.8621 1014.5612 52752.203 30576.471.5 2 33 ........ .. 5.2..... ...............................1920...........1. ........... ........... ................5600000.0 1363.9391

5 .387 - .,8 .............. ........ . O. ...................... . .... . . ............................................ . . .. ..:.......1748.7916 1236.0108 1014.2257 59370,687 35428,726

.............. 6094 . 93 9 .............................. 0 . 2. 13. 2537 2 5................. o00......D 0 80....................... . .........5600000.0 1680. 1211...... " ................ . 2 ............................................................................ "...............

2180.?162 1317.0712 1013.4811 75033.205 45756.90464.9..61.................... . ................64.00000 .............18092.9...9 57.200, o .n. ... 1~.34.5112.04. . A o 6 ........... ............... 056 0 0 0 0 0 . 0 .. ......................1 8 2...................... .... .. .............. ..............

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PRICES SUBJECT TO CHINGE' - NASA · 90,000 0.7772 1.684 x10- 2.17 x 10- 0.8167: 100,000 0.8089...

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