Chandra Siddhanta II, Theory of Luna


In the Orient, Lalla contributed heavily to the Lunar Theory, as did Newton, Ptolemy & Brahe in the Occident !

Both are  great Civilizations and none plagiarized from the other !
 
Did not John Playfair,
The Scottiish mathematician,
Extoll the Eternians,
For their possession of a Calculus
Equivalent to Trignometry?
Let us analyse this Calculus.
 
(  Did not Einstein say
Indians taught us Maths ?
Or the great Laplace, that System Decimal
Is Indian in origin ? )
 
The multi step algorithms
Of mighty Hindu Astronomy
Is known as Graha Sphuta Ganita,
Base of all Panchang computations.


 
We have not defined Vipata Kendra,
The  Vipata Anomaly,
Vi means without
Patha means Node
Vipata Anomaly means Angle
Between Position and Node.
This is the Second Correction,
Position reduced to Ecliptic.
Manda Anomaly means Angle
Between Position and  Aphelion
Sheeghra Anomaly means Angle
Between Position and  Sun
By Position we mean
The Position of the Planet.
 
Of the Fourteen Kendras plotted
The First One deals with the Annual Equation
Moon accelerates during July
And decelerates during Jan !
First Kendra Sin ( Mr + 180 ) * 658

 
The Second dealt with Equation Parallactic
Sunís perturbing action on Luna
Creates inequalities in her motion
Second Kendra Sin ( Lc - Lr ) * 121

 
The Third dealt with Evection,
Moonís largest perturbation,
Moon seems to be carried away
By the Sunís celestial pull !
Third Kendra   Sin ( 2*T - Mc ) * 4467

 
The Fourth deals with The Variation
Moon accelerates at 0 and 180
And decelerates at 90 and 270
Fourth Kendra Sin ( 2*T + 6 Signs ) * 2145

All these Four
Are major perturbations.
Ten more are there
Needing corrections trignometric!

Anomaly is defined as the Angle
Between Position & Perihelion
There is no Eccentric Anomaly,
Auxiliary angle in Kepler's Equations
In Indian computations !
No M =E- e sin E !