The Perturbations of the Moon
(Ms – Mean Anomaly of the Sun; Mm – Mean Anomaly of the Moon; Ls – Mean Longitude of the Sun; Lm – Mean Longitude of the Moon; D = Lm – Ls ( Thidhi); Nm – Node of the Moon. These values are Sidereal or Nirayana )
14 Kendras are to be made and 14 trignometric corrections are to be given, according to astronomical savants. These 14 reductions are mandatory and only after these reductions can we get the true longitude of the Moon.
| First Kendra | Sin ( Ms + 180 ) * 658 |
| Second Kendra | Sin ( Lm – Ls ) * 121 |
| Third Kendra | Sin ( 2*D – Mm ) * 4467 |
| Fourth Kendra | Sin ( 2*D + 6 Signs ) * 2145 |
| Fifth Kendra | Sin 1* 85 |
| Ninth Kendra | Sin ( 2*Ls – Nm ) * 81 |
| Tenth Kendra | Sin ( Mm – Ms )* 73 |
| Eleventh Kendra | Sin ( 2*D + Mm ) * 60 |
| Twelfth Kendra | Sin ( 2*Mm – 2 D + 180 ) * 42 |
| Thirteenth Kendra | Sin ( 4*D – Mm ) * 35 |
| Fourteenth Kendra | Sin ( 4*D – 2*Mm +180)* 30 |
- 2*D – Mm -Ms ) + 180)* 198
Sixth Kendra Sin ( 2*D – Ms ) * 155 Seventh Kendra Sin ( Mm- Ms + 180 ) *112 Eighth Kendra Sin ( 2( Lm – Nm- Mm +180[↩] LOVE is greater than Wisdom New Page 7
https://ajiio.in/woslXgVThe Equation of Centre for Saturnine perturbations !
First Kendra Sin ( Lj – 2 Ls ) -14.66 )*418 Second Kendra Sin ( 2 Lj – 4 Ls + 56.90 )* 667 Third Kendra Sin ( 3Ls – Lj + 77.38 )* 48 These values are to be added if the Kendra is Thuladi ( after the First Point of Libra ) and deducted if it is Meshadi ( after the First Point of Aries ). In Sanskrit it is called Meshadi Rinam & Thuladi Dhanam. Meshadi is the beginning of the Northern Celestial Hemisphere and Thuladi the begining of the Southern Celestial Hemisphere.
There are other minor perturbations which may affect only the Vikala ( second ) of the planet’s longitude and hence can be ignored.
Jupiterian Perturbations ……………( Lj = Mean Longitude of Jupiter; Ls – Mean Longitude of Saturn. These longitudes are Tropical or Sayana. ).
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The Perturbations of Saturn
The Great Jupiter Saturn Perturbation. ( Amplitude 2783 sec, Duration, Laplace Period = 918 years )
The English Era + 3102 gives the Kali Era, the Era of the Vedic Calender. Add 3102 to the Year of Birth to get the Kali Year of Birth. From that value 4660 is deducted and the value is divided by 918. This gives the Beeja Kendra. Find out the Sin ( Bhuja ) of that, multiply it with 2783 seconds and add it to Saturn’s longitude if the Kendra is in NCH and subtract it if it is in SCH.
The differential equation for that is
If Kali Year of birth is xyear
m = 2783 secs*( Sin ( xyear -4660) * 360/918)
If m is in SCH, M = M – m
If m is in NCH, M = M +m , where M is the Mean Longitude of Saturn
The Great Jupiter Saturn Perturbation. ( Amplitude .332 degrees, Duration, Laplace Period = 918 years )Â
The English Era + 3102 gives the Kali Era, the Era of the Hindu Calender. Add 3102 to the Year of Birth to get the Kali Year of Birth. From that value 4660 is deducted and the value is divided by 918. This gives the Beeja Kendra. Find out the Sin ( Bhuja ) of that, multiply it with 1187 seconds and add it to Jupiter’s longitude if the Kendra is in NCH and subtract it if it is in SCH.
The differential equation for that is
If Kali Year of birth is xyear
m = 1187 secs*( Sin ( xyear – 4660) * 360/918)
If m is in SCH, M = M – m
If m is in NCH, M = M +m , where M is the Mean Longitude of Jupiter
There are other minor perturbations which can be ignored.
( Lj = Mean Longitude of Jupiter; Ls – Mean Longitude of Saturn. These longitudes are Tropical or Sayana. ).
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