2013 Astronomy Events Of

Astronomy Events Of

astronomy events of

 

To the Western scholars, Indian Astronomy is mysterious. Let us see what astro scholars have said about IA. 

Dennis Duke, of Florida State University suggests that Indian Astronomy predates Greek Astronomy

“The planetary models of ancient Indian mathematical astronomy are described in several texts.1 These texts invariably give algorithms for computing mean and true longitudes of the planets, but are completely devoid of any material that would inform us of the origin of the models. One way to approach the problem is to compare the predictions of the Indian models with the predictions from other models that do have, at least in part, a known historical background. Since the Indian models compute true longitudes by adding corrections to mean longitudes, the obvious choices for these latter models are those from the Greco-Roman world. In order to investigate if there is any connection between Greek and Indian models, we should therefore focus on the oldest Indian texts that contain fully described, and therefore securely computable, models. We shall see that the mathematical basis of the Indian models is the equant model found in the Almagest, and furthermore, that analysis of the level of development of Indian astronomy contemporary to their planetary schemes strongly suggests, but does not rigorously prove, that the planetary bisected equant model is pre-Ptolemaic” says he.

The earliest Indian Planetary Models are two sets from the writer Aryabhata, both dating from 6th Century AD. 

1) The Sunrise System , after the Epoch, which is taken from the sunrise of 18th Feb 3102 (Arya Paksha ). It appears first in Aryabhatiya 

2) The Midnight System, after the Epoch, which is taken from the midnight of 17/18 FEB 3102 ( Ardha Ratri Paksha ). It appears first in Latadeva’s Soorya Siddhanta 

The Local Meridien is taken as Lanka, Longitude 76 degrees, Latitude 0 degrees.
 
Different equations have been given for superior planets ( Mars, Jupiter and Saturn ) and inferior planets ( Mercury and Venus ) in Astronomia Indica.

In the case of Mercury, an inferior planet in the diagram above, the center of the Sheegra Epicycle is located on the straight line running through the Sun and the observer, on the geographical parallel of the observer.

The above diagram is by courtesy of Jean-Pierre Lacroix and Robert Baywater,www.ancientcartography.net

The Sheegra Phalam, x, in the equation 1/2 Tan ( A -x ), where A is the Elongation or Sheegra Kendra, obtained is deducted from the Sun’s longitude, to get the geocentric longitudes of Mercury and Venus.
 
In the diagram above, the geocentric distance, EQ called X here , the distance of the planet from the Earth is calculated by the equation

X^2 = EQ^2(EP+PL)^2 + QL^2 

or = EN^2 + QN^2 

In a trignometric correction, called Sheegra Sphashteekarana, this equation is given by Bhaskara.

where 

E = Earth
P = Planet in its Orbit
Q = Planet on the Epicycle 
QL = Sin
PL = Cos 

We have said that Sheegra Kriya reduces the heliocentric postions to the geocentric. 

According to this oscillating Epicyclic Model of Bhaskara, EP = R ( Called Thrijya ), PQ is theSheegra Phala, QL is the Bhujaphala and PL is Kotiphala. 

The Hindu algorithms for the computation of mean and true celestial longitudes seems to be totally different from the Western, from the methods adopted by Kepler, Laplace and Co. Hence the Hindu Planetary Model is original and not influenced by Greco Roman sources, as some Western scholars believe.
 
This diagram is by courtesy of Jean-Pierre Lacroix and Robert Baywater,www.ancientcartography.net

We have the Double Epicyclic Model – that of Manda Epicycle and Sheegra Epicycles – in Indian Astronomy, which explain the Zodiacal and Solar anomalies. One Epicycle explains the Zodiacal Anomaly and the other the Solar Anomaly. 

( Zodiacal Anomaly – That all planets move slower at Aphelion and faster at Perihelion.
Solar Anomaly – The astronomical phenomenon of Retrogression. Backward Motion. When a planet changes its course from perihelion to aphelion, it retrogrades in order to gain the Sun’s celestial gravity ) 

Dennis Duke, of Florida State University, says ” We have only to conclude that Ptolemy did not invent the equant. ” If Ptolemy did not invent the equant, as Westerners widely believe, then who did ? 

“The bisected Indian equant model is pre-Ptolemaic’ says he. Other Greek books, prior to Ptoemy, may have influenced Indian Astronomy,says he. Then what are those books, prior to the Almagest, which had influenced the Indian system? The answer is “unknown sources”. 

Remarks Duke ” Indeed, since the very earliest investigation of the Indian models by Western scholars it has been presumed that the models are somehow related to a double epicycle system, with one epicycle accounting for the zodiacal anomaly, and the other accounting for the solar anomaly (retrograde motion) This perception was no doubt reinforced by the tendency of some Indian texts to associate the manda and sighra corrections with an even older Indian tradition of some sort of forceful cords of air tugging at the planet and causing it to move along a concentric deferent . Since our goal in this paper is to investigate the nature of any connection with ancient Greek planetary models, it is only important to accept that the models appear in Indian texts that clearly pre-date any possible Islamic influences, which could, at least in principle, have introduced astronomical elements that Islamic astronomers might have derived from Greek sources. ( “The Equant in India: the Mathematical Basis of Ancient Indian Planetary Models” By Dennis Duke, Florida State University ).
 

 

 

Have you ever finally just gave in to the temptation and read your horoscope in the newspaper on Sunday morning? Sure, we all have. For most of us, astrological readings are a curiosity, an amusement to see what they say our day will be like based on the sign of the zodiac that we were born under. Sometimes we forget that this little diversion is actually part of an ancient science called astrology that has had a powerful effect on many cultures dating back to centuries before Christ.

That is not to say that astrology is a dead art today. It is easy to find astrologists in every town, advertising in the newspaper and on television trying to convince us that they can tell our fortune, our future and help cure our ills by exploring the mysteries of astrology.

When you are a lover of astronomy, the confusion between astronomy and astrology by those who dont really understand the differences can get pretty aggravating.

Probably the biggest point of diversion between a student of astrology and astronomy is the belief that the position of the stars has meaning over the events on our lives. Of course, we do know that the weather and tides and other important aspects of our lives are affected by the stars, planets and heavenly bodies, particularly the moon. But these things are happening because of completely explainable scientific laws in motion, not because of mystical forces at work.

What can we, as devotees of astronomy conclude about the close relationship between astrology and astronomy? Well, for sure we want to be able to explain to anyone who is confused by the similarity in the words what the differences are. We do not want to see the two approaches to the stars and planets to become confused again. But we should do all we can do to keep that distinction clear without becoming skeptical or demeaning towards those who may still hold to the teachings of astrology.

It is important to remember that what is part of a persons religious life has a level of sacred belief to the one holding it. And it is not respectful to scoff at such things. If for no other reason than out of respect for the ancient origins of astronomy, we should give courtesy who still are exploring whether astrology has any validity for them.

If we can treat each discipline with respect but maintain the separation that must exist between astrology and astronomy, there is no reason both approaches to our admiration of the galaxies cannot coexist in peace and harmony. And for our purposes as astronomers, that harmony will allow us plenty of freedom to enjoy our quest for knowledge for many more centuries to come. And who knows, you might still like to read the horoscope on Sunday morning every so often.

 

To the Western scholars, Indian Astronomy is mysterious. Let us see what astro scholars have said about IA. 

Dennis Duke, of Florida State University suggests that Indian Astronomy predates Greek Astronomy

“The planetary models of ancient Indian mathematical astronomy are described in several texts.1 These texts invariably give algorithms for computing mean and true longitudes of the planets, but are completely devoid of any material that would inform us of the origin of the models. One way to approach the problem is to compare the predictions of the Indian models with the predictions from other models that do have, at least in part, a known historical background. Since the Indian models compute true longitudes by adding corrections to mean longitudes, the obvious choices for these latter models are those from the Greco-Roman world. In order to investigate if there is any connection between Greek and Indian models, we should therefore focus on the oldest Indian texts that contain fully described, and therefore securely computable, models. We shall see that the mathematical basis of the Indian models is the equant model found in the Almagest, and furthermore, that analysis of the level of development of Indian astronomy contemporary to their planetary schemes strongly suggests, but does not rigorously prove, that the planetary bisected equant model is pre-Ptolemaic” says he.

The earliest Indian Planetary Models are two sets from the writer Aryabhata, both dating from 6th Century AD. 

1) The Sunrise System , after the Epoch, which is taken from the sunrise of 18th Feb 3102 (Arya Paksha ). It appears first in Aryabhatiya 

2) The Midnight System, after the Epoch, which is taken from the midnight of 17/18 FEB 3102 ( Ardha Ratri Paksha ). It appears first in Latadeva’s Soorya Siddhanta 

The Local Meridien is taken as Lanka, Longitude 76 degrees, Latitude 0 degrees.
 
Different equations have been given for superior planets ( Mars, Jupiter and Saturn ) and inferior planets ( Mercury and Venus ) in Astronomia Indica.

In the case of Mercury, an inferior planet in the diagram above, the center of the Sheegra Epicycle is located on the straight line running through the Sun and the observer, on the geographical parallel of the observer.

The above diagram is by courtesy of Jean-Pierre Lacroix and Robert Baywater,www.ancientcartography.net

The Sheegra Phalam, x, in the equation 1/2 Tan ( A -x ), where A is the Elongation or Sheegra Kendra, obtained is deducted from the Sun’s longitude, to get the geocentric longitudes of Mercury and Venus.
 
In the diagram above, the geocentric distance, EQ called X here , the distance of the planet from the Earth is calculated by the equation

X^2 = EQ^2(EP+PL)^2 + QL^2 

or = EN^2 + QN^2 

In a trignometric correction, called Sheegra Sphashteekarana, this equation is given by Bhaskara.

where 

E = Earth
P = Planet in its Orbit
Q = Planet on the Epicycle 
QL = Sin
PL = Cos 

We have said that Sheegra Kriya reduces the heliocentric postions to the geocentric. 

According to this oscillating Epicyclic Model of Bhaskara, EP = R ( Called Thrijya ), PQ is theSheegra Phala, QL is the Bhujaphala and PL is Kotiphala. 

The Hindu algorithms for the computation of mean and true celestial longitudes seems to be totally different from the Western, from the methods adopted by Kepler, Laplace and Co. Hence the Hindu Planetary Model is original and not influenced by Greco Roman sources, as some Western scholars believe.
 
This diagram is by courtesy of Jean-Pierre Lacroix and Robert Baywater,www.ancientcartography.net

We have the Double Epicyclic Model – that of Manda Epicycle and Sheegra Epicycles – in Indian Astronomy, which explain the Zodiacal and Solar anomalies. One Epicycle explains the Zodiacal Anomaly and the other the Solar Anomaly. 

( Zodiacal Anomaly – That all planets move slower at Aphelion and faster at Perihelion.
Solar Anomaly – The astronomical phenomenon of Retrogression. Backward Motion. When a planet changes its course from perihelion to aphelion, it retrogrades in order to gain the Sun’s celestial gravity ) 

Dennis Duke, of Florida State University, says ” We have only to conclude that Ptolemy did not invent the equant. ” If Ptolemy did not invent the equant, as Westerners widely believe, then who did ? 

“The bisected Indian equant model is pre-Ptolemaic’ says he. Other Greek books, prior to Ptoemy, may have influenced Indian Astronomy,says he. Then what are those books, prior to the Almagest, which had influenced the Indian system? The answer is “unknown sources”. 

Remarks Duke ” Indeed, since the very earliest investigation of the Indian models by Western scholars it has been presumed that the models are somehow related to a double epicycle system, with one epicycle accounting for the zodiacal anomaly, and the other accounting for the solar anomaly (retrograde motion) This perception was no doubt reinforced by the tendency of some Indian texts to associate the manda and sighra corrections with an even older Indian tradition of some sort of forceful cords of air tugging at the planet and causing it to move along a concentric deferent . Since our goal in this paper is to investigate the nature of any connection with ancient Greek planetary models, it is only important to accept that the models appear in Indian texts that clearly pre-date any possible Islamic influences, which could, at least in principle, have introduced astronomical elements that Islamic astronomers might have derived from Greek sources. ( “The Equant in India: the Mathematical Basis of Ancient Indian Planetary Models” By Dennis Duke, Florida State University ).
 

 

 

Have you ever finally just gave in to the temptation and read your horoscope in the newspaper on Sunday morning? Sure, we all have. For most of us, astrological readings are a curiosity, an amusement to see what they say our day will be like based on the sign of the zodiac that we were born under. Sometimes we forget that this little diversion is actually part of an ancient science called astrology that has had a powerful effect on many cultures dating back to centuries before Christ.

That is not to say that astrology is a dead art today. It is easy to find astrologists in every town, advertising in the newspaper and on television trying to convince us that they can tell our fortune, our future and help cure our ills by exploring the mysteries of astrology.

When you are a lover of astronomy, the confusion between astronomy and astrology by those who dont really understand the differences can get pretty aggravating.

Probably the biggest point of diversion between a student of astrology and astronomy is the belief that the position of the stars has meaning over the events on our lives. Of course, we do know that the weather and tides and other important aspects of our lives are affected by the stars, planets and heavenly bodies, particularly the moon. But these things are happening because of completely explainable scientific laws in motion, not because of mystical forces at work.

What can we, as devotees of astronomy conclude about the close relationship between astrology and astronomy? Well, for sure we want to be able to explain to anyone who is confused by the similarity in the words what the differences are. We do not want to see the two approaches to the stars and planets to become confused again. But we should do all we can do to keep that distinction clear without becoming skeptical or demeaning towards those who may still hold to the teachings of astrology.

It is important to remember that what is part of a persons religious life has a level of sacred belief to the one holding it. And it is not respectful to scoff at such things. If for no other reason than out of respect for the ancient origins of astronomy, we should give courtesy who still are exploring whether astrology has any validity for them.

If we can treat each discipline with respect but maintain the separation that must exist between astrology and astronomy, there is no reason both approaches to our admiration of the galaxies cannot coexist in peace and harmony. And for our purposes as astronomers, that harmony will allow us plenty of freedom to enjoy our quest for knowledge for many more centuries to come. And who knows, you might still like to read the horoscope on Sunday morning every so often.

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