Equation for Saturn in the great Jup-Sat perturbation

We will now deal with the equation for Saturn in the Jupiter- Saturn inequality.

3102 is added to the Year of Birth and then 4660 is deducted from it. Then that value is subtracted by 918 and multiplied by 360. Then that value is mulitplied by 2873 seconds and then the resultant value is minussed from Saturn's longitude ( if his longitude is less than 180 ) and added ( if his longitude is greater than 180 ).

Mathematically,

KY ( kali year ) = Year ( Date of Birth ) +3102
kyb = KY - 4660

x, bhujamsa = ( kyb )/918 * 360
y, bhujajya = sin (x )

satvalue = sin (x ) * 2873

If Mean Longitude of Saturn < 180
Sat's corrected Long = Sat's long - satvalue

If Longitude of Saturn > 180
Sat's corrected Long = Sat' long + satvalue


Western Astronomy gives the perturbation amplitude as .812 degrees which is similar to the Indian value of 2873 seconds. Similar values are not exactly the same and hence neither borrowed from each other !

Computation of Ayanamsa

In India, Chaitra Paksheeya Ayanamsa is widely followed. The Indian Govt gave the job of standardising the Almanacs to the great N C Lahiri. It is also known as Lahiri's Ayanamsa.

The Year of Coincidence of the Tropical and the Sidereal Zodiacs was at 285 AD, according to Chaitra Paksheeya Ayanamsa. There are 13 other Ayanamsas, with different scholars differing as to the dates. The great Dr B V Raman opined that the two Zodiacs coincided at 398 ACE, but the followers of Chaitra Paksha Ayanamsa are more.

According to Cheiro, the Precession was one degree in every 72 years.

According to C P A, the precession is 50.24645 secs per year.

Mathematically

y = year(xdate)-Year of Epoch

x = 50.25645+(.00022229)*y + ((0.00000000027)*y^2)

Chaitra Paksha Ayanamsa = 22.436+ (x/3600)*y