Article Side

Online Article Directory!

Hello Guest! Login or Register to submit articles!

Reduction to Geocentric Coordinates

By G Kumar Subscribe to RSS | December 7th 2011 | Views:
loading
 
  



The Vedic astronomers never said like Kepler that planets traverse in elliptical orbits. But then they talked about Eccentric and Epicyclic theories. They said for the luminaries, the Sun and the Moon, reduction to the geocentric (Sheegra Kriya ) coordinate system was not necessary. But for the Tara Grahas, like Mercury, Venus, Jupiter, Mars and Saturn, both thejya samskaras ( trignometric corrections ) are necessary.

The Vedic astronomical texts say that the planets go in an epicycle, whose center moves along the mean circular orbit from west to east. This theory came to be known as the Epicyclic Theory. There is another theory called the Eccentric Theory, which states that a planet goes in a circle whose center is not the Earth, but a different point other than the Earth.

Bhaskara says " The Center of the Celestial Sphere coincides with the center of the Earth. The circle in which a planet goes does not have its center coinciding with the Center of the Earth". Hence the Vedic astronomers like Bhaskara, Brahmagupta and Aryabhata, prescribed bhujaphalam ( otherwise called Equation of Center for mandaphala, whereas in the case of the five Tara Grahas, this bhujaphala, despite connoting Equation of Center or mandaphala, also stands for corrections required to reduce their longitudes from the Heliocentric Coordinate System to the Geocentric Coordinate System ).

In the above diagram,

m is the Sheegra Anomaly

and the angle EJS is the Sheegra Phalam

where E = Earth, S = Sun and J = Jupiter

In order to get the geocentric longitude, the longitude of the Sun is deducted from the Ecliptic longitude and then we get the Sheegra Kendra, the angle between the planet and the Earth Sun plane.

Ecliptic longitude - Long Sun = Sheegra Kendra

Arka Sphutnoniham Kheda Manda Sphutamihodhitham

Sheegra Phalam is the angle EJS ( Earth, Jupiter, Sun ) and this Sheegra Phalam is deducted to get the true, geocentric longitude. ( Added if Sheegra Anomaly > 180 and deducted if Sheegra Anomaly < 180 ).

Like Kepler, the Indian astronomers may not have said that all planets move fastest at perihelion but this principle was known to them as they called perihelion Sheegrochha. Sheegra in Sanskrit means fast. Similarly they called Aphelion Mandochcha, manda meaning slow, and it implies that all planets move slowly at Aphelion !

In Indian Astronomy, Chara is the Ascensional Difference and is the difference between Right Ascension and Oblique Ascension.

And is calculated by the equation

Sin ( Chara ) = tan ( decl ) tan ( latitude ).

Here Theta is Chara.

Sin C is called Chara Jya

Right Ascension means the longitudes measured along the Celestial Equator, the Vishu vat Vritta.

Oblique Ascension means the longitudes measured along the Ecliptic, the Kranti Vritta.

Chara is used in the computation of Sunrise and Sunset.

The formula for Sunrise = 6 H + Equation of Time - Chara - Refraction Correction

The formula for Sunset = 18 H + Equation of Time + Chara + Refraction Correction.

G Kumar - About Author:
Article by G Kumar, astrologer, academician & programmer of
www.eastrovedica.com. He believes that Knowledge is the criterion for
Success and his ebooks are available at
http://www.astrognosis.com/html/Ebooks.htm
and he gives free tips at
http://www.astrologiavedica.com/HTML/diverseblogs.htm

Share on Facebook Tweet It Stumbleupon this post This post is delicious !

Article Source:
http://www.articleside.com/art-articles/reduction-to-geocentric-coordinates.htm

Related Art Articles Subscribe to RSS

Reward Greenandmore.com coupons to the consumers to lure more
Published by Gayathri Anjudevi on August 25th 2012 | Art
You should also determine when a person is eligible to earn a Greenandmore.com coupon or Greenandmor...
 
Reward Greenandmore.com coupons to the consumers to lure more
Published by Gayathri Anjudevi on August 25th 2012 | Art
You should also determine when a person is eligible to earn a Greenandmore.com coupon or Greenandmor...
 
Reward Greenandmore.com coupons to the consumers to lure more
Published by Gayathri Anjudevi on August 25th 2012 | Art
You should also determine when a person is eligible to earn a Greenandmore.com coupon or Greenandmor...
 
Bring the Beautiful Clip and Snap Frames
Published by Julia Roger on August 24th 2012 | Art
The wooden snap frames look authentic and traditional. These frames have the ability to transform th...
 
Bring the Beautiful Clip and Snap Frames
Published by Julia Roger on August 24th 2012 | Art
The wooden snap frames look authentic and traditional. These frames have the ability to transform th...
 
With these Cheapostay.com coupon codes shoppers can save huge amount of money
Published by Gayathri Kaanchanadevi on August 23rd 2012 | Art
Cheapostay.com Coupon sites are internet sites that are setup for the friendless reason of providing...