Nine Planets (Navagraha) Quiz

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Page 1 of 42 The Navagraha (Nine Planets) Quiz What are these “planets”? http://www.dimensionsguide.com/wp-content/uploads/2009/11/Solar-System.jpg The meaning of Navagraha is discussed here, with reference to the recent reclassification of planets in the solar system. “Grahameans to hold, or be held. What is being held, by whom, and how? Now it becomes clear why the sun is called one of the “planets” in the ancient Hindu classification. We also discuss here, briefly, how Kepler discovered the famous laws of planetary motions. Hubble's law for the expanding universe and Kepler's laws were deduced based on careful observations and sound mathematics, coupled with bold conjectures. It is suggested that similar attempts to discover fundamental laws that describe the behavior of financial and economic systems must be made by finance, economics, and management science majors, especially in view of the near total collapse of the financial system (in the USA) in 2008 and the continuing turmoils being faced in Europe.

description

The meaning of Navagraha is discussed here, with reference to the recent reclassification of planets in the solar system. "Graha" means to hold, or be held. What is being held, by whom, and how? Now it becomes clear why the sun is called one of the "planets" in the ancient Hindu classification. We also discuss here, briefly, how Kepler discovered the famous laws of planetary motions. Hubble's law for the expanding universe and Kepler's laws were deduced based on careful observations coupled with bold conjectures. It is suggested that similar attempts to discover fundamental laws that describe the behavior of financial and economic systems must be made by finance, economics, and management science majors, especially in view of the near total collapse of the financial system (in the USA) in 2008 and the continuing turmoils being faced in Europe.

Transcript of Nine Planets (Navagraha) Quiz

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The Navagraha (Nine Planets) Quiz

What are these “planets”?

http://www.dimensionsguide.com/wp-content/uploads/2009/11/Solar-System.jpg

The meaning of Navagraha is discussed here, with reference to the recent

reclassification of planets in the solar system. “Graha” means to hold, or be

held. What is being held, by whom, and how? Now it becomes clear why the

sun is called one of the “planets” in the ancient Hindu classification. We also

discuss here, briefly, how Kepler discovered the famous laws of planetary

motions. Hubble's law for the expanding universe and Kepler's laws were

deduced based on careful observations and sound mathematics, coupled

with bold conjectures. It is suggested that similar attempts to discover

fundamental laws that describe the behavior of financial and economic

systems must be made by finance, economics, and management science

majors, especially in view of the near total collapse of the financial system

(in the USA) in 2008 and the continuing turmoils being faced in Europe.

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Table of Contents

Topic No. Topic Page No.

1. The Nine Planetary Gods – and the nine planets 3 2. Why is the sun considered a “planet”? 7 3. Kepler’s laws of planetary motions and Newton’s Big G 14 4. Eddington’s light bending experiments 22 5. The Universe prepares to receive Baby Krishna 25 6. Krishnaashtakam and brief comments 31

http://hinduism.about.com/od/lordkrishna/p/krishna_birth.htm

http://gosai.com/writings/sri-krsna-janmastami http://en.bestpicturesof.com/vasudeva

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Bhagavan appeared before Devaki and Vasudeva and first informed them about His appearance in Devaki’s womb. The baby Krishna then appeared in His four-armed form before His parents, with the full paraphernalia of shanka, gadaa, chakra, kirita, kundala, and peetambara, with lotus in hand and His Divine Consort, The Goddess Sri (Mahalakshmi) on His bosom (Sreevatsa-lakshmam, Srimad Bhagavatam, Canto 10, chapter 3, verse 9). Then, at Devaki’s request, He turned into an ordinary human baby. He was then carried by his father Vasudeva to Yasoda’s bedside and the baby daughter born to Yasoda was transported back to the prison. The baby girl transformed into Devi Durga and mocked Kamsa when he came to kill the eighth baby and warned Kamsa of his doom.

Baby Krishna with Vasudeva Baby Krishna in Gokula Crossing the Yamuna at night Bathing of baby Krishna

How did the Universe prepare to receive Baby Krishna?

Nine entities are described in the Srimad Bhagavatam Kaala, Dishaa, Prithvee, Jala, Agni, Vayu, Aaakaasha, Manas, and Atma

Time itself transformed when Krishna appeared and so did all the planets, the stars, and the whole earth.

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Dear All:

We all know there are nine planets in our solar system: Mercury, Venus, Earth,

Mars, Jupiter, Saturn, Uranus, Neptune, and Pluto.

Wait, wait. Not true! Not true, old man! There are only eight planets now.

Tiny Pluto, whose discovery, in 1930, was considered to be a landmark event for

the triumph of science, is no longer considered to be a planet according to the

vote taken some time back by astronomers, in 2006, at their "big" annual

meeting. Pluto has been demoted from its status of being the 9th planet.

http://www.space.com/2791-pluto-demoted-longer-planet-highly-controversial-

definition.html

http://www.universetoday.com/13573/why-pluto-is-no-longer-a-planet/

Neptune was discovered in 1846 and Uranus in 1781; thanks to the theory of

gravity, due to Newton, which was published in 1687 and which greatly

influenced these planetary discoveries. Uranus was actually observed as early

as 1690 but it was not realized that it was a new planet, see

http://library.thinkquest.org/28327/main/universe/solar_system/planets/uranus/ex

ploration/discovery_of_uranus.html ).

http://en.wikipedia.org/wiki/Pluto

http://www.spacestationinfo.com/uranus-discovery.htm

The discovery of the “outer planets” as they are called (Uranus, Neptune and

Pluto??), which were not known in ancient times (solar system only extended up

to Saturn) was considered to be the greatest triumph of 17th century Newtonian

science, until Einstein's General theory of Relativity replaced Newton’s theory of

the Universe in the 20th century.

According to our ancient Hindu traditions, we offer prayers to the Navagrahas

(nine "planetary gods") as a part of many poojas, such as the Satyanaryana

Pooja, usually performed on every full moon day.

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We just had the "Supermoon" day this weekend (May 5 and May 6, 2012) - with

the full moon coinciding with the closest distance of the moon in its orbit around

the earth, see http://ratnaveera.hubpages.com/hub/Nine-Planetary-Deities-of-

Hinduism.

The moon's orbit is not perfectly circular and so there are small variations in the

distance from the earth. The "Supermoon" was supposed to be roughly 14%

bigger than other full moons that we observe at other times in the year. The

moon is considered to be one of the nine "planets" in the Navagraha list. Ah, you

must be shaking your head already at the "foolishness" of all this.

To make matters worse, even the sun appears in the list of the nine "planets".

The other seven in the Hindu list are: Mercury (Budha), Venus (Shukra), Mars

(Mangala or Kuja), Jupiter (Guru or Bruhaspati), Saturn (Shani), Rahu and Ketu.

Lord Sun (Surya Bhagavan) Lord Moon (Shri Chandra Bhagavan)

Now, wait, what is this Rahu and Ketu?

Did not read about this in any of my science classes you say! Yes, you did not.

They are called the North Node (Rahu) and South Node (Ketu) and you find

them mentioned only in astrology books - not science or astronomy books.

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The nodes are the points where the moon's orbit cuts the earth's orbit. The earth

and all the other planets of the solar system lie in essentially in a single plane as

they move around the sun. The moon, on the other hand, does not orbit in the

same plane. Its orbit is almost at right angles to the plane in which all the other

planets orbit. Hence, the orbit of the moon is “above” and cuts the plane of orbit

of the earth. The points of intersection are called the “nodes”. If these "nodes"

are observed carefully, they appear to be moving in the sky, in a direction

opposite to the general direction in which the planets are seen to be moving.

Lord Mercury Lord Venus

Lord Mercury (Shri Budha Bhagavan) Lord Venus (Shri Sukra Bhagavan)

Anyway, for the "science" student and the "rational thinker", the BIGGEST insult

and NO NO is calling the sun itself a "planet". How utterly foolish our ancestors

must have been to think of the sun as a "planet"! Don't we all know that the sun

is "fixed" and all planets are moving around the sun?

So, a planet, by definition is a body that is moving (around the sun?). Or, maybe

there is more going on than we realize?

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The Sun’s Motion

After all the cosmology lessons of the last month or so (we did formally finish our

discussion of chapter 8 yesterday --- and now we are into chapter 9, where

Krishna continues some of the earlier discussion from chapter 7) let’s take a

look at what our sun is doing and its place in the "cosmos".

http://hypertextbook.com/facts/2001/AngelaChan.shtml

The following is taken verbatim from the link given above.

• Our galaxy is known as the Milky Way. The Sun is one of some 300 billion

stars that travel around the Milky Way, in a near circular orbit. These stars

are closer to the galactic center than the Sun.

• The distance from the center of our Galaxy to the Sun is about 26,000 light

years (a light year is about 6 trillion miles), which is approximately halfway

out on one of the Milky Way's curving arms.

• The Sun and its planets take a period of 225 million years to revolve

around the galactic center. The time it takes for each orbit is sometimes

referred to as a cosmic year or a galactic year. The Sun has completed

about 20 orbits since the solar system was formed. For each orbit, the Sun

traveled 150,000 light years of distance.

What we learned in our elementary "science" classes thus has to be modified.

The accepted view that the sun is fixed and that the planets move around it, is

the so-called heliocentric model for the solar system. But, the sun itself is

moving. Just like the earth-moon pair, taken together, moves around the sun,

the sun with its family of planets is moving around the “galactic center”.

May be "Navagraha" idea, which refers to heavenly moving objects, with sun

being one of the "planets", is not such a far fetched idea, after all !

Actually the word "graha" means that which is being held. What is being

held? And, by whom?

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As we learned in our "science" classes, gravity is "holding" the earth in its orbit

around the sun. The "sun" is the source of the force of gravity that the earth is

experiencing.

Is the "sun" also being held in some way, since it is moving around the galactic

center, as we just learned? Yes. There are billions of stars just in our Milky Way

galaxy. Many are far more massive than our own sun. Now, take a look at the

following explanation about the force of gravity experienced by the sun and how

"stars" in our galaxy move, also taken from the above.

Newton's explanation of the speed of stars in the Milky Way is as

follows. He showed that stars closer to the galactic center, including

the Sun, experience a gravitational pull equal to the pull created by the

mass that is equal to that of all the stars closer to the galactic center.

Hence, the mass of the galactic center is equal to the total mass of all

the stars closer to the center.

He also showed that stars farther from the center have a combined

gravitational force of zero. Those stars pull in all different and opposite

directions, canceling out one another. Therefore, the stars closer to the

center experience a gravitational pull towards the center and they

move at greater speeds, since there is more force acting upon them.

Conversely, more distant stars have less force acting upon them and in

turn, they travel at lower speeds. In addition, stars beyond this distance

have speeds that stop decreasing and eventually remain constant.

In conclusion, we have to be a bit more "liberal" and not get too "dogmatic"

about what "science" is teaching us about different things. Let us learn to be a

bit more generous and a bit more understanding when it comes to the teachings

of the Hindu scriptures.

In the very first document of this series, that is now available as a public

document, I said let’s use the term "non-science" (not NONSENSE) to describe

such studies where I also suggested that we make a sincere effort (means with

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all due humility) to understand what we learn from scriptures such as the

Bhagavad Gita and the Srimad Bhagavatam. There is a beautiful sloka in

chapter 15 of the Gita that I often remember when I think about all this "gravity"

stuff. It goes as follows.

Gaam aavishya ca bhootani

dharayaam-yaham ojasa l

PushaaNami coushadheeh sarva

SomO bhootva rasaatmakahaa ll 15.13 ll BG

गाम ् आविष्य च भतूावि धारयाम्यहम ् ओजसा l

पषु्णावम च औषध ीः सिावीः सोमो भूत्िा रसात्मकीः ll १५ .१३ ll

Chapter 15 is known as the Purushottama Yoga chapter (nature of the Supreme

Person, or Supreme Being, uttama meaning supreme, the best, most exalted,

etc.). Krishna says here in this verse, "And, I hold, dhaarayami aham, with My

Power, ojasa, all the beings, bhootani." He adds "gaam aavishya". What does

this mean?

The verb "ga-ma" yields the third person singular, gacchati, which means to go,

to move. Hence, "gaam aavishya" literally means "entering into the motion" – of

the objects that are moving.

In other words, Krishna is saying "I am responsible for the motion of the planet

earth. It is I who am holding all the beings that live on this earth."

"With My power, ojasaa" that Krishna talks about here, is the actually "force of

gravity" as defined by physicists, or scientists. When Kepler, who was a deeply

religious man, discovered the laws of planetary motions, in the 16th century (this

was before Newton, Kepler was a contemporary of Galileo), he said that he

could “feel” the “immense power” of the sun. This “power” is “ojas” of Krishna,

later to be called gravity by Newton and Einstein.

The second line of this verse is also interesting.

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Here Krishna says that He produces all the "taste" and "flavor" that we

experience, in all the fruits, vegetables, herbs, etc. He does this via the moon,

SomO bhootva. Krishna explains here that we call "moonshine" is what is

actually responsible for this "taste". It is not enough just to have "sunshine" to

grow our crops. We also need "moonshine".

So, here's a hint for those who wish to journey in search of some "exoplanet" in

the 21st century (assuming our economy recovers and we can afford such

luxuries). Look for a planet that has a nice moon, like our moon. Only such a

planet will be suitable for life as we know it. That is the "practical" lesson that I

draw from this beautiful sloka from chapter 15.

Very sincerely

V. Laxmanan

May 6, 2012

***********************************************************************

P. S. We also pray to 27 nakshatras - or stars - real stars that are observed in a

narrow belt called the zodiacal belt. As the moon moves around the earth, it is

seen to be associated with each of these 27 stars. These "stars" are called the

"nakshatra" devatas. Each one of us has a star called the "birthstar". It is one of

these 27 stars.

Actually, ancient texts talk about 28 stars. So, we think this list of 28 is more

"scientific". The 28th star is called Abhijit. It was considered to be a very

auspicious star. Embarking upon something important on the day when "Abhijit"

was the nakshtram was supposed to guarantee success. So, the Kauravas in

consultation with their gurus, named the date for the start of the Mahabharata

war to be the day when Abhijit was the nakshtram.

Not very good news really then for the Pandavas, right, whose side Krishna was

on. He was also the charioteer for Arjuna, after all.

Guess, what Krishna did to avoid defeat for the Pandavas! He took Abhijit away

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from the system and throw it away - very very far away (may be towards the

galactic center!). It does NOT exist anymore although some very wise people

still count 28 major stars in the zodiacal belt. Cheers!

Also, Krishna was born on "Ashtami", the 8th day of the fortnight. But, when He

arrived there was a full moon. How is this possible? With His baby toe Krishna

just gave the moon a gentle kick so that it turned into a full moon on the 8th day

itself. Actually, there is a very beautiful description of how the whole Universe

"prepared" itself to welcome the birth of Krishna.

And, we are worried about the "stupidity" called the full moon on ashtami day in

our scriptures! So much for "science". Let me formally announce now the

creation of the Department of Non-Science to study such topics, more logically;

see Cosmology Lesson, no. 7 in the list below.

**********************************************************************************

1. http://www.scribd.com/doc/92012419/Merging-With-The-Supreme-Let-s-

talk-BEC-and-Brahma Merging with the Supreme: Let's talk BEC and Brahma

2. http://www.scribd.com/doc/91712050/In-the-Beginning-Even-Before-

Brahma In the Beginning: Even Before Brahma

3. http://www.scribd.com/doc/91519004/Abandoning-Stree-Dharma-Rasa-Lila-

and-Surrender-by-the-Gopis Abandoning Stree Dharma: Rasa-Lila and

Surrender of the Gopis

4. http://www.scribd.com/doc/91224441/Rasa-Lila-In-Brief-Saptasloki-Rasa-

Lila Rasa-Lila in Brief: Saptasloki

5. http://www.scribd.com/doc/90582950/RasaLilaKrishnaCelibate Rasa-Lila:

Was Krishna Celibate?

6. http://www.scribd.com/doc/90505011/Duration-of-Rasa-Lila Duration of

Rasa-Lila

7. http://www.scribd.com/doc/89443432/Cosmology-Lessons-from-The-

Bhagavad-Gita Cosmology Lessons from The Bhagavad Gita

8. http://www.scribd.com/doc/92191620/Did-the-Universe-Start-in-a-Big-Bang-

How-did-we-arrive-at-this-idea Did the Universe Start in a Big Bang? How did

we arrive at this idea?

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Lord Mars Lord Jupiter

Lord Saturn

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Lord Rahu Lord Ketu

Navagraha Devatas

http://www.hindudevotionalblog.com/2008/10/pictures-of-navagrahas-nine-planets.html

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Kepler’s laws of planetary motions

In the 16th century, Kepler discovered the three important laws of planetary

motions that bear his name. This was in the generation before Newton; Kepler

was a contemporary of Galileo. Kepler’s laws were simple mathematical

formulae that he deduced to describe the huge tables of daily planetary

observations that were being compiled by astronomers, for centuries. Here is

the brief story of how this happened. It is being told here for a purpose that will

soon become obvious.

Tycho Brahe Johannes Kepler

http://csep10.phys.utk.edu/astr161/lect/history/brahe.html

http://www-history.mcs.st-and.ac.uk/Biographies/Kepler.html

http://kepler.nasa.gov/Mission/JohannesKepler/

http://www.pafko.com/tycho/index.html

The story begins with the Danish astronomer Tycho Brahe. When he was a

young teenager, Brahe noticed that a conjunction of the two major planets,

Jupiter and Saturn, did not occur, on the date predicted in August 1563, using

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the “old” astronomical tables. This conjunction could be determined, with the

naked eye, without requiring any precision instruments.

http://articles.adsabs.harvard.edu//full/1968JRASC..62..181S/0000182.000.html

The discrepancy between the time of the observed closest approach of the two planets and that

computed from the tables, about a month using the Alphonsine Tables and a few days by the Prutenic

Tables, greatly impressed Tycho. http://www.encyclopedia.com/topic/Tycho_Brahe.aspx

The old tables were called the Alphonsine and Prutenic tables. Brahe was

greatly intrigued by the discrepancy and decided to continue his observations

until the predicted conjunction actually occurred at a later date. He realized that

the tables were in error. He then dedicated himself to designing and building

new and improved observational instruments for astronomical studies.

http://articles.adsabs.harvard.edu//full/1968JRASC..62..181S/0000182.000.html

Being an influential nobleman, he also received a grant from the King Frederick

of Denmark. A whole island, off the shores of Denmark (called Uraniborg with all

the residents of the island), was granted to him. The residents of the island were

told to work for Brahe and all the taxes collected belonged to Brahe, who built

what we would now call a top notch astronomical research institute. He

personally continued his observations and maintained detailed record books

(that only he was allowed to see). After more than 20 years of such observations,

he decided to hire a young mathematician named Johannes Kepler to study the

observations in detail since the motion of the planet Mars could not be explained.

Sometimes Mars would appear to move “backwards” in the sky. This “retrograde”

motion was puzzling and a source of great interest and could not be readily

explained on the basis of the then prevailing “theories” of planetary motions. (In

Hindu, or Vedic, astrology/astronomy this is called “vakram”, which means

backwards, or even “crooked”. Retrograde motion (vakra-gati) of a planet is

generally not considered to be good or auspicious. Other major planets like

Jupiter and Saturn also show this behavior but Mars was the biggest culprit and

the most noticeable of all. Brahe could not explain this; see the visualization of

the motion of Mars at http://www.pafko.com/tycho/mars.html .)

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Kepler started his mathematical studies and was soon forced to abandon the

idea that planets orbit in perfect circles. Having worked with Brahe closely,

Kepler was so confident of Tycho Brahe’s very precise observations (Brahe was

the first to also provide an estimate of the potential ‘errors’, now a standard

scientific practice) that he was soon convinced that Mars does NOT orbit the

sun in a perfect circle.

Being a skilled mathematician, Kepler tried to fit the observations to the next

best mathematical curve – an ellipse - and thus also introduce the minimum of

complexity into the mathematical analysis. This was a revolutionary step. Galileo

refused to accept it since he believed that the heavens were perfect and so

heavenly orbits must be perfect circles. How could a “dirty” and “imperfect”

figure like the ellipse describe heavenly motions? Although a revolutionary

thinker himself, Galileo refused to acknowledge, all his life, Kepler’s major

contribution to astronomy.

Regardless, Kepler was able to show that ALL of Brahe’s observations, on all

the then known planets (Uranus and Neptune and poor Pluto had NOT yet been

discovered) could be explained very easily and simply by invoking the elliptical

shape for the orbit. A new law of planetary motions had been created – based

entirely on mathematical reasoning. The first two laws are as follows.

1. Planets orbit around the sun, in an elliptical path, with the sun at one of the

two foci of the ellipse. This is called the law of the ellipse. (The two foci of

the ellipse will merge with its center when the ellipse reduces to a circle. If

“a” and “b” are the semi-major and semi-minor axis, respectively, then we

have b2 = a2 (1 – e2), where “e” is the eccentricity of the ellipse. For a

perfect circle, b = a = r and the eccentricity e = 0.)

2. An imaginary line joining the planet to the sun, always sweeps equal areas

in equal intervals of time. This is true for all planets. This is called the law

of equal areas.

http://en.wikipedia.org/wiki/Kepler%27s_laws_of_planetary_motion

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Kepler’s third law represents the pinnacle of mathematical genius and combines

all of the observations on the planets, very elegantly, into a simple mathematical

law. Let T denote the period of the orbit and “a” the semi-major axis of the

planet’s elliptical orbit. Kepler showed that the square of the period of the orbit

(T2) is proportional to the cube of the semi-major axis of the ellipse (a3). Thus,

T2 = ka3

or T = K a3/2 where K or k is a constant.

This is the famous three-halves power law which was later eloquently confirmed

even after the planets Uranus, Neptune, and Pluto were discovered (see graph

in Cosmos by Carl Sagan).

Carl Sagan – who popularized astronomy and science, in the 20

th century, with his

Cosmos. He also convinced astronomers that Venus, a twin of the earth, shows a

“runaway” greenhouse gas effect due to the very high concentration of carbon dioxide.

The same value of K applies and the graph of T versus “a” can be extended to

new planets (which had higher and higher values of “a” and so higher and

higher values of T). It was also shown to apply to the moons orbiting a single

planet, for example, Jupiter’s moons. All the moons orbit a single central – in this

case Jupiter – which provides the gravitational pull, see

http://www.mrwaynesclass.com/Kepler/reading/kepler/index.html

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Kepler published his findings in two important books. The first two laws were

revealed in 1609 in his book Astronomia Nova. Then, on May 15, 1618 he

discovered The Third Law. This law was published in 1619 in his Harmonices

Mundi. It was Kepler’s third law, not an apple falling on Newton’s head, that

actually led Newton to his law of gravitation (the inverse square law).

Kepler can truly be called the founder of celestial mechanics.

Newton’s apple tree in 1998 (third pedigree)

http://www.york.ac.uk/physics/about/newtonsappletree/

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In the “Big Bang” document (see page 11, number 8), I had challenged finance,

business, and management science majors to pay attention to the attempts by

astronomers like Edwin Hubble, who were able to draw bold and far-reaching

conclusions by preparing x-y “scatter” graphs instead of just compiling tables of

data – such as the annual Fortune 500, Forbes 500, Business Week Quarterly

data and so on. Kepler’s analysis is another example from astronomy. Huge

volumes of tables upon tables of astronomical observations were reduced to

three simple laws that describe the behavior (or orbits) of all planets.

Perhaps, there are laws similar to Kepler’s laws, really simple laws, waiting to be

described that could explain the behavior of the financial and economical world.

With the financial and economic turmoil that we now face and the total collapse

of the financial system in 2008, it is time for some serious efforts along these

line to understand the fundamental workings of the financial system.

Yes, it may all seem like “chaos” today without any simple explanations. That is

what they thought before Galileo, Kepler, Newton arrived and changed our view

of the Universe. Then came Maxwell, Hubble, and Einstein. But, the first steps

were taken by Galileo and Kepler – with the law of falling bodies (Galileo) and

the three laws of planetary motions (Kepler). These laws were not based on

any theory. They were simply compact mathematical “expressions” to

describe large volumes of tabulated experimental observations. The

financial world now operates like astronomy did before Kepler.

http://csep10.phys.utk.edu/astr161/lect/history/brahe.html

http://www.scribd.com/doc/92191620/Did-the-Universe-Start-in-a-Big-Bang-

How-did-we-arrive-at-this-idea see page 11and some reference cited.

Newton’s Big G: The Gravitational Constant

To complete the story, Newton was greatly influenced by Kepler’s laws. As a first

step, Newton showed that his mathematical expression for the force of gravity

was consistent with Kepler’s laws – specifically his third law.

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The gravitational force between two bodies is always attractive. Each mass

attracts the other. Newton also gave the force of gravity a mathematical form.

First, it will vary as inversely as the square of the distance between the two

bodies. Let us say we have two bodies A and B, with masses m1 and m2

separated by some distance, r. The force will vary as 1/r2. Hence, it is called the

inverse square law. Second, Newton said that the force will be directly

proportional to the masses. The simplest mathematical form of this force of

gravity is, therefore, F (m1m2)/r2, where the symbol means ‘varies as’.

Hence, if the distance between the two bodies doubles, the force is reduced to

one-fourth. If the distance increases to 10 times, the force reduces to 1/100th the

value. Hence, objects which are near to us affect us much more by their

gravitational force. Hence, the moon affects the ocean tides when it is closest to

the earth. A new theory for why the luxury liner Titanic sank has recently been

advanced and is based on the idea that high tides, caused by an unusually

close presence of the moon 100 years ago, ripped the icebergs from the coast

of Greenland which then drifted into the shipping lanes of the Titanic!

To convert the “varies as” into an equality, we write F = G (m1m2)/r2 where G is a

constant called the gravitational constant. This must have exactly the same

value all over the Universe – if Newton’s law is valid. Thus far, this is more of a

deeply held assumption than a proven fact, with values of G being determined

first in the experiments by Cavendish. For example, no measurements of G,

going beyond earth-based measurements, seem to have been attempted. (The

simplest would be to study the orbits of hundreds of asteroids that orbit the earth,

whose periods and distances from the sun are well-known. The formula for the

period of an elliptical orbit, see below, can be tested to deduce the value of G.)

******************************************************************************************

Under standard assumptions the orbital period ( ) of a body traveling along an elliptic

orbit can be computed as: http://en.wikipedia.org/wiki/Elliptic_orbit

where:

is standard gravitational parameter,

http://en.wikipedia.org/wiki/Standard_gravitational_parameter

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is length of semi-major axis.

Conclusions:

The orbital period is equal to that for a circular orbit with the orbit radius equal to

the semi-major axis ( ),

For a given semi-major axis the orbital period does not depend on the eccentricity

(See also: Kepler's third law).

In astrodynamics, the standard gravitational parameter μ of a celestial body is the

product of the gravitational constant G and the mass M of the body.

Here G is the universal gravitational constant and M is the mass of the central body

providing the gravitational force, e.g, the sun for the asteroids, or Jupiter for its moons

and so on. Unfortunately, the independent values of G and M are not known, only the

product “GM”. Testing the formulae for the period in three different cases (planets and

the sun, asteroids and the sun, and moons and a planet like Jupiter should enable a

determination of the separate values, going beyond earth-based laboratory measurements

of G, as in the Cavendish experiment.

*******************************************************************************************

Also, it should be remembered that Einstein did not modify the force law

enunciated by Newton. Einstein’s theory only modifies the meaning of time.

Also, Einstein used non-Euclidean geometry to describe space. The basic force

laws of Newton (three in all), however, remain unchanged to this day.

The value of G determined from earth-based laboratory measurements has

since been used to test gravitational theories, including the most famous light

bending experiment of 1919, which confirmed Einstein’s predictions. When light,

from the distant stars, passes a massive body like our sun, it will be deflected

from its straight line path. In other words, gravity can bend even a light ray. The

angle by which it will bend, or deviate from its original direction, can be

calculated. Newton’s theory, it was shown, would yield exactly one-half the

bending of light compared to Einstein’s theory.

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Eddington’s Light Bending Experiments

to Confirm Einstein’s Relativity

Credit: Jose Wudka

Experimental tests of the light bending theories, starting with the most famous

test due to the British astronomer Eddington, supported Einstein’s prediction of

“twice” the bending. http://sunearthday.nasa.gov/2006/events/einstein.php .

What if the bending had turned out to be even higher than predicted theoretically

by Einstein? One can certainly conceive this. There is a famous joke about

Eddington that is often told in this context.

http://ircamera.as.arizona.edu/NatSci102/NatSci102/text/lightbend.htm

Eddington’s assistants were all told what their mission was. The light bending

experiment was to be conducted during a total eclipse of the sun, on May 29,

1919. Photographs to reveal the positions of the distant stars, near the sun,

would be taken during the eclipse, which was to be observed from two different

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islands on the earth – one near northern Brazil (at Sobral) and the other off the

coast of West Africa (Principe, in Gulf of Guinea). The bending of the light from

the stars, as it passed the sun, would be measured from the photographs.

Royal Observatory Greenwich

Albert Einstein and Arthur Eddington: the father of relativity and the man who proved him right.

Eddington got the support of the Royal Astronomical Society for the scientific

expeditions to these islands. Eddington’s assistants were told that they were

looking for twice the bending predicted by Newton’s theory.

Eddington really liked Einstein’s theory and also believed that only Einstein

and he understood the theory. There is another joke about this – about three

people understanding Einstein’s theory to which Eddington retorted ------ you

can look it up and do an internet search on your own, see also a 2008 report

http://www.scientificamerican.com/article.cfm?id=did-researchers-cook-data-

from-first-general-relativity-test

http://astro.berkeley.edu/~kalas/labs/documents/kennefick_phystoday_09.pdf

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Oh leave the Wise our measures to collate

One thing at least is certain, light has weight

One thing is certain and the rest debate

Light rays, when near the Sun, do not go straight.

-- Arthur Eddington

Anyway, Eddington’s assistant (Cottingham) asked the question posed earlier.

“What would happen if we get more than twice the bending?” The answer was

given by another famous astronomer, Dyson, who was then the Royal

Astronomer of England. He said, “Then Eddington will get mad, and will leave

you here on this remote island (in Brazil, near the jungles of Amazon area!

Cheers! Scientists are people too!)

http://jcdverha.home.xs4all.nl/scijokes/10.html The three people Eddington joke is here for sure. Now, you just have to find it.

Probably the most famous illustration of Eddington’s alleged bias in favor of Einstein’s theory is a story subsequently repeated by Eddington himself in which Dyson (photo on the left), in explaining the experiment to Cottingham before departure (of the expedition to Brazil), told the clockmaker that there were three theoretically plausible results: no deflection; half deflection, which would show that light had mass, and vindicate Newton; and full deflection, which would vindicate Einstein. Gathering that the greater the deflection the more theoretically exciting and novel the result, Cottingham asked what would happen if they obtained twice the Einstein deflection. “Then,” replied Dyson, “Eddington will go mad, and you will have to come home alone.” http://astro.berkeley.edu/~kalas/labs/documents/kennefick_phystoday_09.pdf

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The Universe at its Best

Preparing for Baby Krishna’s Arrival

Dear All:

I got the following mail today from Sundari Murthy, one of the regular attendees

of our Gita sessions and recipients of the emails.

there is a very beautiful description of how the whole Universe "prepared" itself

to welcome the birth of Krishna. Laxmanji, can you give the details of this or a

link/source that I can refer to?

This is indeed a very beautiful description.

I also received another nice comment from Mahadevan sir, which shows that

you are all (?? ) paying attention. So, let me add the beautiful description now.

It also makes a lot of sense, since "nine" different entities are mentioned in

the description of how the whole Universe "prepared" itself to welcome baby

Krishna. The nine mentioned in Srimad Bhagvatam, Canto 10, chapter 3, are:

Kaala (time), Dishaa (directions), Prithvee (the earth), Jala (water), Agni

(fire), Vaayu (air), Aakasha (sky), Manas (mind) and Aatma (the soul).

This beautiful description is found in Canto 10, chapter 3, verses 1 to 7. The

easiest source to consult is Srila Prabhupada's translation; the link is given

below. You can click on each verse and read the purports of each one.

http://srimadbhagavatam.com/10/3/en

In what follows here, I will also incorporate some comments from the acaryas

who have provided the Hindi translation of Srimad Bhagavatam, published by

Gorakhpur Press.

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The transformation of time (and time elements, stars, planets)

Atha sarvaguNopetah kaalah paramashobhanah l

YarhyEvaa-jana-janmarksham shaantarksha-graha-taarakam ll 10.3.1 ll SB

अथ सिवगणुोपतेीः कालीः परमशोभिीः l

यर्ह्यिेाजि जन्मर्क्ष ं शान्तर्क्षव ग्रह तारकम ् ll १०.३.१ ll

The first line of the first verse says, "Atha sarvaguNopetah kaalah

paramashobhanah". The very first word is "Atha" which is always used to

indicate auspicious beginnings. Thus, it is said, at the start of the Brahma Sutra,

or the Vedanta Sutra, “Athaato Brahma jijnaasa” And so, hereon, we begin our

enquiries down the path that might lead us to the understanding of Brahman -

the Absolute, the Supreme. The first word again is “Atha”; see links below.

http://www.sankaracharya.org/library/brahmasutra-analysis.pdf

http://www.adi-shankara.org/2008/03/brahma-sutra-shankara-bhashya-2.html

http://www.ramanuja.org/sv/bhakti/archives/nov99/0139.html

http://www.indiadivine.org/audarya/hare-krishna-forum/245064-question-athato-

brahma-jijnasa.html

http://sbsaraswati.multiply.com/journal/item/98?&show_interstitial=1&u=%2Fjour

nal%2Fitem

http://folknet.in/SS2008/html/index.php?option=com_content&view=article&id=6

40&Itemid=458

Likewise, here in the Srimad Bhagavatam we begin with “Atha”. The first line in

the verse describes “kaala” or time.

We all suffer from the ravages of time. Time is cruel, time is merciless, cares for

no one, is dispassionate and does what needs to be done, when it needs to be

done, in a "robotic" fashion. There was a time when Sita was to be married.

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There was a time when Sita was to be abducted. There was a time when Sita

was to see Hanuman, just as She was preparing to commit suicide. There was a

time when Sita was to be tested. There was a time when Rama was to be

exiled. There was a time when Rama was to be coronated. There was also a

time when Sita was to be banished, willfully, to the forest by Rama.

No one can escape the ravages of time.

But, here we are told that "time itself became embodied with all good gunas"

sarva guna upetahaa and became very very beautiful, parama shobhanahaa,

like a dear one dressing up to receive her beloved. Of course, the "male gender"

is used for time in the Sanskrit but I have tried to make the description more

enchanting in English by resorting to the female gender for kaala.

Indeed, the female gender is used for all that follows, so I am not really out of

line. Even Lord Shiva, who heard that Krishna was performing the Rasa-lila with

the gopis, wanted to join but was refused entry since he tried to enter as a male.

So, Lord Shiva instantly changed himself into a beautiful female to join the

Raasa-lila. Krishna saw him and smiled. (What a beautiful compliment to the

Mohini avataram, where Lord Shiva enjoyed Bhagavan as an enchanting

female, oblivious even to the presence of Parvati by his side!)

Indeed, in Vrindavan, we have a temple for Shiva and here he is known as

Gopeeshwara. We are all gopis, or must become gopis, or must surrender like

the gopis, to enjoy that Brahma Raatri - the lila that lasted for a night as long as

one night of Brahma.

So, here the whole Universe is preparing itself. It is again night. Krishna was

born at the stroke of midnight (Rama at the high noon, so Bhagavan honors the

night now). The description of the physical universe and how it prepared itself to

welcome the birth of Krishna is merely symbolic. We too must prepare ourselves

in the same way to receive Krishna in our hearts - in our soul - to merge with

Him like the gopis did during that Brahma Raatri.

The second line states that the One who really has no birth or death, the One

who is never really to be thought of as being born (ajana, why? no question,

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simple, always there!) is appearing. The entirety of space (antariksham) became

still and peaceful. It was as if the whole Universe stopped expanding and

became still to be as close to the earth as possible to see baby Krishna. Can

you imagine that? Yes, you can, if you are not Einstein, or Hubble, the

astronomer! That is what the whole Universe would want to do - stop expanding

and get as close as possible to Krishna. Even that mighty force of gravity will

momentarily cease to act and crush us all!

And so did all the constellation of stars, such as Rohini (the dearest of all the 27

stars, who are considered to be the wives of moon, Chandra Bhagavan),

appear. The moon was with his most dearest Rohini. Were the others not

present? Were they outdone, or missing? No, not at all. No single star is

mentioned by name and so all are actually mentioned.

Every one of the wives was present and every one of the stars (nakshatra

devatas) were at their best on that night (in other words, they blessed the whole

universe in their joy to receive Krishna). What about the billions of stars beyond

these 27 that are found in our zodiacal belt? They too were rejoicing and

blessing the denizens of this world and in their respective worlds (if there is alien

life! Did Krishna appear there too? Use your imagination and read about Raasa-

lila and what the gopis saw!).

What about all the planets around these stars, our own sun, all the navagraha

devatas? They too were feeling the arrival of the Divine. They too, like kaala,

transformed and manifested only their good self.

What does this mean? When you surrender to Him, the stars, the planets, will all

become subservient and bless you. There is no inauspiciousness. Everything is

auspicious - parama mangalam, everything is beautiful - parama shobhanam -

as they say. May be I will stop here now. Just enjoy this first sloka today. We

will continue with the remaining in tomorrow's email.

Very sincerely

V. Laxmanan

May 8, 2012

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The transformation of the directions and the earth Dear All: We will now continue our discussion of how the Universe itself seem to prepare

itself to welcome Baby Krishna. In the first verse we saw how Kaala (time)

transformed itself and became sarva-guNOpetah and parama-shobhanah. All

the other elements associated with time, all of space, all the stars, all the planets

all became extremely still and peaceful (shaanta). The next sloka describes how

all the directions (dishaah) and the earth (mahee) transformed.

Dishah prasedur-gaganam nirmalODu-ganO-dayam l

Mahee mangala bhooyishTaa pura-graama-vrajaa-karaa ll 10.3.2 ll SB

शीः स ेगुवगि विमवलो ु-गणो यम ् l

मह म गल-भूवय ा परु-ग्राम- जा-करा ll १० .३ .२ ll

According to our scriptures, the directions are considered to be goddess (devis)

and each dishaa therefore also has a swamin, or husband. For example, Indra

is the lord of the praacee (east) dishaa, VaruNa is the lord of prateecee (west)

and so on. Under Kamsa’s rules, these dishaas had been imprisoned by him

and had become enslaved. Hence, the appearance of Baby Krishna was a

source of great joy for them since their bondage would soon end, in a matter of

just a few days (by their reckoning). Their hearts were therefore filled with joy at

the mere thought of getting reunited with their beloved husbands.

Another meaning of dishaa is “aashaa”, meaning what one deeply desires or

wants. What we need is different from what we want. Even if we are blessed to

have what we need (for example, food, clothing, shelter, at the minimum), we

may not be blessed to have what we want. The sadhoos, pious souls, therefore

were rejoicing since Baby Krishna was arriving and He would protect them and

fulfill all of their desires.

Finally, the dishaas were rejoicing since they also represent the ‘ears’ of the

Viraat Purusha. Now, with Baby Krishna’s appearance, it was assured that the

Supreme Lord would be able to “hear” firsthand the cries and sorrows and

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wailings of those who were being tormented by the asuras (evil forces) and

asaadhoos (impious). I have borrowed here liberally from the Hindi

commentaries available in the Gorakhpur Press edition.

Thus, the joy felt by all the directions was felt throughout space (dishah

praseduh gaganam). The whole of space, the sky became crystal clear (nirmala)

without a trace of any dust or impurity. The word “udu” means stars and “gana”

means group, or constellation. All the constellations of star rose (udayam) and

shone brightly radiating a brilliance in all directions.

Mahee, Mother Earth is the Bhudevi. When Bhagavan is in Vaikunta, He is with

His consort Sridevi. When He descends to the earth, His other consort Bhudevi

is filled with joy at the very thought of His arrival. Sridevi resides in the bosom

(vaksha sthala) of Bhagavan but Bhudevi was rejoicing at the thought that the

lotus feet of Bhagavan would now be placed firmly on her bosoms, on a daily

basis. Bhudevi was also thinking , “As Vamana, He chose to be a Brahmacari.

And, as Rama, He was wedded to my dear daughter Sita. There was no

opportunity for me to enjoy Him in those incarnations. As Krishna, I will finally be

able to enjoy Him to my hearts content.”

And, thinking thus, Bhudevi, the Earth, became completely mangalamayee – the

very embodiment of all that is auspicious. There was not a trace of disturbance

(no earthquakes, no tornados, no storms, etc.) anywhere on the earth. The

whole environment everywhere on earth became filled with unparalleled serenity

and peace. Every city (pura), every village (graama), every hamlet (vrajaa,

literally where there are many cows) was rejoicing and eagerly awaiting the

arrival of Baby Krishna.

With this we will conclude the discussion of verse 2 of chapter 3 of Canto 10. Let

that same joy and peace fill all our hearts and all our homes and all our cities

and all places on earth where we live.

Very sincerely

V. Laxmanan

May 9, 2012

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Date: Tue, 8 May 2012 18:02:36 -0700

Subject: Fw: The Navagraha (Nine Planets) Quiz

there is a very beautiful description of how the whole Universe "prepared" itself

to welcome the birth of Krishna. Laxmanji, can you give the details of this or a

link/source that I can refer to?

*******************************************************************************************

Dear Laxmanan,

Your explanation of the navagrahas makes lot of sense. I knew that "graha" was

not a planet. Our elders were far more knowledgeable to make that error. Now

both moon and sun are also "held".

The thing about expelling Pluto also is interesting. A group of experts with

probably incomplete knowledge make this decision. In the future if a spacecraft

flying near Pluto or another object that looks like a candidate for planet, we will

have a ninth one again.

Mahadevan

***********************************************************************

Date: Wed, 9 May 2012 12:11:07 +0000

Subject: Re: The Navagraha (Nine Planets) Quiz

Dear Laxmanan Sir,

Did the whole universe 'prepare' for Rama's avataram too? Is there such description in

Ramayana?

Thanks,

Janaki

Dear Janaki:

I wish there was. The difference, I think, lies in the nature of the "avataram". Krishna is

Paramaatma Himself but Rama is one-half human and only one-half Divine (VishNor

ardham, as Valmiki states). So, yes, Valmiki also provides a beautiful description but

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one which more appropriate in this context.

For example, the entire horoscope for Rama is presented in a couple beautiful slokas that

describe His divinity as well. All planets are in their most exalted positions. No ordinary

human has such a horoscope.

One must understand basic astrology to appreciate that Valmiki has given the full

horoscope for Lord Rama. (He also mentions briefly the horoscopes for the other

brothers - all their nakshatrams are given - for Rama it is Punarvasu, for Bharata it is

Pushya, ..... now check out what this means and the nakshatrams for the other two!)

May be we will add this too to the Navagraha document, which is now uploaded for the

public with illustrations. I will slowly finish the translation of the verses from Srimad

Bhagavatam. Then add the Ramayanam verses. The link is given below.

http://www.scribd.com/doc/92883992/Navagraha-Nine-Planets-Quiz

Laxmanan

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KrishNaashtakam Eight verses on KrishNa

http://web.mit.edu/hsc/www/Shlokas/Krishna.pdf

http://www.prapatti.com/slokas/sanskrit/krishnamvande.pdf

Descriptions such as we find here provide us with a mental image of

Krishna. We can also form such a mental image by looking at deities in

a temple. Over a period of time, this is the image that we carry in our

heart, or mind’s eye, when we seek solace. Then, one day, we will be

able to see Him, magically, situated within our hearts!

Vasudeva-sutam devam Kamsa-chaaNoora-mardanam l

Devakee-paramaanandam KrishNam vande Jagad-gurum ll 1 ll

िस ुिेसतु िे क स चाणरू म विम ् l

िेकी-परमािन् कृष्ण िन् े जगद्गरु ll १ ll

This is the first of the eight verses, each ending with ‘KrishNam vande

Jagadgurum’, singing the glories of Krishna. Each verse describes Krishna

with simple words. It all starts with, “He is the son of Vasudeva”. All babies

are always referred to by the names of their fathers. But He is also the Divine

Himself, He is God (devam). He killed the demons named Kamsa and

ChaaNoora. Only two are mentioned here but many many more were killed.

He brings immense joy, the greatest joy, joy beyond all imagination,

exceeding the divine bliss itself to His Mother Devakee. So He is the Parama-

anandam for her. I bow to this Krishna, KrishNam vande, the guru of all the

worlds, Jagadgurum. (To this end, He preached to us the Immortal Bhagavad

Gita, the greatest gift to all mankind.

http://www.swami-krishnananda.org/disc/disc_92.html )

http://www.prapatti.com/slokas/sanskrit/krishnamvande.pdf this link provides the verses

in many different language fonts. Click on Stotras, pick Krishnashtakam, then language.

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Atasee-pushpa-sankasham Hara-noopura-shobhitam

Ratna-kankaNa-keyooram KrishNam vande Jagadgurum || 2 ||

अतस -पषु्प-स काश हार-िपूरु-शोवभतम ् |

रत्न-क कण-केयरू कृष्ण िन् े जगद्गरुम ् || २ ||

In each of these verses, the capital letter indicates the beginning of a new

compound word, or adjective, that describes Krishna. He is like the “atasee”

flower. The “atasee” is a humble flower, found in the wild, the flower that we

find with a humble weed-like plant (translated as linseed or hemp by some

authors). It is not a flower that we would grow in a garden, like the rose, or

tulips, or mums, or jasmine, etc. Yet, Krishna decided to honor this humble

flower by adopting a bodily hue that resembles the color of this flower.

This is the first adjective. He is beautifully decked with a garland of flowers

(haara). He has lovely anklets (noopura) on His legs. When a dancer dances,

or even walks, these noopuras, make a melodious sound. And, so we hear this,

when Baby Krishna walks around. (All babies wear this ornament.)

He is wearing lovely bangles, kankaNa, on His hands (lower arms), studded

with gems. He has beautiful arm bracelets (kayoora) gripping His lovely

upper arms. I bow to this Krishna, the guru for all the worlds.

Kutilaalaka-samyuktam PoorNa-chandra-nibhaananam l

Vilasat-kundala-dharam Krishnam vande Jagadgurum ll 3 ll

कु लालक-स य ु पणूव-चन् -विभाििम ् l

विलसत-्कु ल-धर कृष्ण िन् े जगद्गरुम ् ll ३ ll

He has beautiful curly (kutila) hair (alaka). Curly hairs are considered to be

especially beautiful. Women with curly hair are considered to be very

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beautiful. Curly hair is considered to be even more beautiful when present

with a baby boy, especially since they are so rare among males. His face

(aanana) is radiant and enchanting like the full (poorNa) moon (Chandra).

The full moon fills our hearts with joy. Children are mesmerized by the sight

of the full moon. And so, is the sight of Baby Krishna. Lord Rama was also

called Ramachandra, because He too had a lovely, enchanting, full moon-

like face. He is wearing ear-rings (kuNdala dharam) that glow, golden

obviously, and attract us all. I bow to this Krishna, who is indeed the guru

for all the worlds.

Mandaara-gandha-samyuktam Chaaru-haasam Chaturbhujam l

Barhi-picchaava-choodangam Krishnam vande Jagadgurum ll 4 ll

मन् ार-गन्ध-स य ु चारहास चतभुुवजम ् l

ह-वप ाि-चू ा ग कृष्ण िन् े जगद्गरुम ् ll ४ ll

Mandaara is a fragrant celestial flower, like Paarijata, found only in

swargaloka (Indra loka). In His presence the air is filled with the sweet

fragrance of this divine flower (because the garland around His neck has

mandaara flowers). He has a beautiful (chaaru) smile (haasa). He has four

lovely arms. He is adorned with the feathers (piccha) of a peacock (barhi) all

over His body. I bow to this Krishna, the guru for all the worlds.

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“AvachooDa” above means a long flowing dress which hangs over the shoulder down

(like the dupatta for women, and what we call angavastram for males). This is decorated

nicely with the feathers of a peacock.

Utphulla-Padma-patraaksham Neela-jeemoota-sannibham l

Yaadavaanam-shiroratnam Krishnam vande Jagadgurum ll 5 ll

त् ु ल-प -प ार्क्ष ि ल-ज मतू-स विभम ् l

या िािा वशरोरत्न कृष्ण िन् ेजगद्गरुम ् ll ५ ll

His eyes are like the fully blossomed lotus petal, His body has the hue of the

bluish rain bearing clouds, He is the crest jewel of the Yadu dynasty. I bow to

this Krishna, the guru of all the worlds.

RukmiNi-keli-samyuktam Peetaambara-sushobhitam l

Avaapta-tulasee-gandham Krishnam vande Jagadgurum ll 6 ll

रव मवण-केवल-स य ु प ता र- सशुोवभतम ् l

अिा -तलुस -गन्ध कृष्ण िन् ेजगद्गरुम ्ll ६ ll

He is enjoying the playfulness of His beloved Rukmini and is frolicking with

her, He looks so beautiful in His yellow silk dress, He is full of the aroma of

the tulasi (basil leaves) that are so dear to Him. I bow to this Krishna, who is

indeed the guru for all the worlds.

GopikAnAm-kuchadwandwa-kukumAnkita-vakshasam l

Shriniketam MahEshwasam Krishnam vande Jagadgurum ll 7 ll

गोवपकािा -कुच- न् -कुम्कुमवन्कत-िर्क्षसम ् l

विकेत महषे्िासम ् कृष्ण िन् ेजगद्गरुम ्ll ७ ll

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Both the breasts of the gopis are smeared with red kumkuma (saffron)

powder which in turn smears intimately on to His chest. He is the abode for

Sridevi (She resides within His bosom), He carries the mighty arrows in His

quiver. I bow to this Krishna, who is the guru for all the worlds.

The word, MahEshwaasam, which I have translated as “carries mighty

arrows..” is also found in chapter 1, verse 4 of the Gita, when Duryodhana

approaches his guru Dronacarya and describes the war scene. He says,

“Atra shooraah MahEshwaasaa Bheema-arjuna-samaa yudhi” to describe

the Pandava army. The word “ishu” means arrow. The plural of “ishu” is

“ishubhi”. It is used by Arjuna in chapter 2, verse 4, as he continues his

lamentation. Thus, Maha + ishu becomes MahEshu with sandhi and “aasa”

means resting place. The arrows rest in a quiver (the carrying bag for

arrows, like golf bag for golf clubs). We do not often see such warrior like

descriptions of Krishna.

One can also interpret this more philosophically as the arrows of Cupid

since the kuca-dwandwa of the gopis is mentioned here. His arrows are

mightier then the arrows of Cupid. One enslaves, the other liberates.

ShrivatsAnkam Mahoraskam VanamAlA-virAjitam l

Shankachakradharam Devam Krishnam vande Jagadgurum ll 8 ll

ित्सा क महोर क ििमाला-विरावजतम ् l

श क-च -धर िे कृष्ण िन् ेजगद्गरुम ्ll ८ ll

He is adorned with the Srivatsa jewel on His broad chest, He is decorated

with the garland of flowers from the wild (forests), He holds the shanka

(conch) and the chakra (sudarshana wheel), He is the Supreme God, He is

Krishna. I bow to Him, the guru for all the worlds.

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KrishnAshTakamidam puNyam prAtarutthAya yah paThet l

koTi-janma-krutam pApam smaraNaat tasya nashyati ll 9 ll

कृष्ण कवम प ुय ातरत्थाय यीः प ेत ् l

को -जन्म-कृत पाप मरणात ् त य ि यवत ll ९ ll

He (She) who recites these eight verses extolling Krishna, these highly

purifying verses, after waking up(utthaaya) in the early hours of the morning

(praatar), will be able to destroy all the sins of a koti (ten million) janmas.

The mere recollection of these verses is sufficient. From the memory alone

will ensue the destruction of the sins, i.e., the person will instantly destroy all

the sins owned by this person.

The last part is also chanted as “smaraNenaiva nashyati” which means the

same. Some also say “smaraNena vinashyati”. Again, meaning is the same.

The version given above using the “pancami” case of the noun smaraNa,

which is smaraNaat, which means “from the smaraNa”. This “pancami”

case is used for this purpose in many other stotrams as well. SmaraNena is

the “triteeya” case of the same noun, and means “by using the instrument of

smaraNam”, that is our tool – the big nuclear “bomb”- to destroy the sins.

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Other translations available on the Internet http://www.vediccenterofgreenville.org/pdfs/Bal_Vihar_Prayer_Book_Ver1.pdf http://stotraratna.sathyasaibababrotherhood.org/k33.htm atasee pushpa sankasham haranoopura shobhitam

ratnakankanakeyooram Krishnam vande jagadgurum || 2 ||

I bow to Krishna,

The One is brilliant with the atasee flower,

The One who shines with the garland and anklet,

The One who wears jeweled bangle and upper arm bracelet,

And who is Guru to the universe.

Vasudevasutam dEvam kamsaChaNooraMardhanam (1) DEvakeeParamAnandam Krishnam Vande Jagadgurum ataseePushpaSankAsham hAranoopuraShobhitam (2) ratnakankaNakeyooram Krishnam Vande Jagadgurum kutilAlakaSamyuktam PoorNaChandranibhAsanam (3) vilasatkundaladharam Krishnam Vande Jagadgurum mandAragandhasamyuktam chAruhAsam chaturbhujam (4) barhiPinchAvachoodangam Krishnam Vande Jagadgurum utphalaPadmaPatrAksham neelajeemootasannibham (5) yAdavAnam shiroratnam Krishnam Vande Jagadgurum rukmiNi Kelisamyuktam PeetAmbara Sushobhitam (6) avApta Tulasigandham krishnam Vande Jagadgurum gopikAnAm KuchadwandwakukumAnkitavakshasam (7) shriniketam MahEshwasam Krishnam Vande Jagadgurum shrivatsAnkam Mahoraskam VanamAlAvirAjitam (8) shankachakradharam Devam Krishnam Vande Jagadgurum krishnAshTakamidam puNyam prAtarutthAya yah paThet (9) koTiJanmaKrutam PApam SmaraNena Vinashyati.

http://www.orkut.com/Main#CommMsgs?na=3&nid=63444-5358557763115200712-5369726155553550536&nst=21&tid=5358557763115200712&cmm=63444&hl=en

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Krishanashtakam (Vasudeva sutham devam)

Translated by P.R.Ramachander

(This popular prayer is acribed to Adhi Shankara by some.)

Vasudeva sutham devam,

Kamsa Chanura Mardhanam,

Devaki paramaanandham ,

Krishnam vande Jagat Gurum. 1

I salute the world teacher Krishna,

Who is the son of Vasudeva,

Who killed Kamdsa and Chanura,

And the source of great joy to Devaki.

Athasee pushpa sangasam,

Hara noopura shobhitham,

Rathna kankana keyuram,

Krishnam vande Jagat Gurum. 2

I salute the world teacher Krishna,

Who is surrounded by hemp flowers,

Who shines in necklaces and anklets,

And who wears gem studded bangles and armlets.

Kutilalaka samyuktham ,

Poorna chandra nibhananam,

Vilasad kundala dharam,

Krishnam vande Jagat Gurum. 3

I salute the world teacher Krishna,

Who is with curly locks of hair,

Who resembles the full moon,

And who shines in his ear studs.

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Mandhaara gandha samyuktham,

Charu hasam, Chathur bhujam,

Barhi pinnchava choodangam,

Krishnam vande Jagat Gurum. 4

I salute the world teacher Krishna,

Who is with the smell of Mandhara flowers,

Who has a pretty smile and four hands,

And who wears the feather of peacock.

Uthphulla pathra padamaksham,

Neelaji mudha sannibham,

Yadavaanaam siro rathnam,

Krishnam vande Jagat Gurum. 5

I salute the world teacher Krishna,

Who has eyes like fully opened petals of lotus,

Who resembles the rich blue cloud,

And is the greatest gem among Yadavas.

Rukmani keli samyuktham,

Peetambara sushobhitham,

Avaptha thulasi gandham,

Krishnam vande Jagat Gurum. 6

I salute the world teacher Krishna,

Who is with the playuful Rukhmani,

And who shines in yellow silks,

And who has the scent of holy basil.

Gopeenaam Kucha dwanda,

Kunkumankitha vakshasam,

Sri niketham , maheshvasam,

Krishnam vande Jagat Gurum. 7

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I salute the world teacher Krishna,

Who is coated with the saffron powder,

From the two breasts of gopis,

And who is the home of Lakshmi and

In whom the great God lives.

Sri Vathsankam mahoraskam,

Vana maala virajitham,

Sankha chakra dharam devam,

Krishnam vande Jagat Gurum. 8

I salute the world teacher Krishna,

Who has Sri Vathsa on his chest,

Who is deorated by forest garland,

And is the God who holds conch and wheel.

Krishnashtakam mitham punyam , Prathar uthaya ya padteth,

Kodi janma krutham papam, Sathyameva vinasyathi. 9

If this blessed octet on Krishna,

Is sung as soon as one wakes up in the morning,

The sins done in billions of births,

Will truely be destroyed.

A different spelling scheme is adopted by this author for the transliteration. This

author, Sriman P. R. Ramachander, has provided transliterations and beautiful

simple translations such as this one for literally hundreds of such verses and many

important Sanskrit scriptural documents.