Resolving the Ayanamsha

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Resolving the Ayanamsha/Precession of equinoxes

 

Mahakaal, shashwat and eternal, the Lord of Time has guided me in

this attempt to resolve the issue of ayanamsha and the precession of

equinox. The blessings of Brihaspati, Jupiter and Sun have shown the

path in comprehending the natural patterns of time. I propose to

suggest a unique and clear solution to the Zero of the Zodiac for

Jyotish as also the rate of precession. It is based on the ancient

concept of drikaganita.

 

This study does not use any scriptural reference, fixed star or

constellation, historical reference or any other assumption but is

entirely based on an empirical search for patterns and data analysis

of the Swiss Ephemeris data available to me through Jagannath Hora

software. It suggests that the Zero of the Zodiac or the effect of

the precession/ ayanamsha value can be derived independently and

exactly from the data of the tropical ephemeris itself without any

external input.

 

The study proposes:

 

1. Like the Sun and Moon opposition and conjunctions form the

natural cycle for a month; similarly, Jupiter and Sun

conjunction/opposition create a natural cycle defining not only a

year but also the entire precessional cycle of 25800 years. The very

genesis of the Zero of the Zodiac and thus the beginning of

Aries/Mesh originates from this cycle.

2. The rate of precession over this cycle is at present 288

minutes (4 Degrees 48 minutes) per 344 years plus 5 days. This 344

year cycle comprises of 320 conjunctions of Sun/Jupiter and is being

termed as the Ujjayini Cycle.

3. A single Jupiter/Sun conjunction/opposition leads to a

precession of around 54 minutes.

4. 24000 conjunctions/oppositions of Sun/Jupiter lead to a full

360 degrees precession over a present period of 25800 years but this

could vary depending on the natural cycles of Sun/Jupiter over the

years.

5. The entire cycle would consist of 75 Ujjayini cycles of 344

years each with 25 cycles over 8600 years will lead to a 120 degree

precession.

6. Precession over a single rashi/sign would take 2150 years at

the present rate.

7. The most likely mathematical solution for Zero of the

ayanamsha with respect to the Tropical Zero is either at the Autumn

Equinox of 273 AD at a Sun/Jupiter conjunction at 29:13 Virgo

(Tropical value) or the Vernal Equinox of 321 AD with a Sun /Jupiter

opposition with Sun at 1 Aries and Jupiter at 1 Libra.

8. Without any reference to Chitra, the Chitrapaksha/ Lahiri

ayanamsha gets approximately validated. If the Zero is taken in

273, a correction of plus 9' 47'' is needed and if taken at 321 AD

vernal Equinox, the correction is minus 29'57''.

9. The correction would then be based on a progression of the

Zero by 4'48'' in every 320 Su/Ju cycles in 344 years.

10. This would suggest at a correction of Lahiri minus 29'57''

in 321 AD, the following ayanamsha values:

 

Year Proposed ayanamsha Lahiri ayanamsha Difference

22 March, 321 0-0-00 0-29-56.97 - 29-56.97

27 march, 665 4-48-00 5-16-8.2 -28-8.2

2 April, 1009 9-36-00 10-3-9.98 - 27-9.98

6 April, 1353 14-24-00 14-50-6.66 -26-6.66

11 April 1697 19- 12-00 19-38- 6.20 -26-6.20

16 April,2041 24-00-00 24-25-48.25 -25-48.25

21 April, 2385 28-48-00 29-14-47.60 -26-47.60

 

 

As is evident, the focus is on cycles regarding Sun/Jupiter

conjunctions/oppositions. These cycles need to be studied separately

in the Tropical Ephemeris and in any ayanamsha corrected ephemeris.

The integration of the two sets of data has brought these proposals

which stem from the following observations:

 

1. Jupiter moves at varying speeds in different signs/rashis in

different months. When conjunct with Sun its geocentric speed is

6:30/7 degrees/month. Slowing down till retrograde, then moving in

the opposite side and finally moving fast again at the next

conjunction. A key pointer is that the movement of Jupiter is

different in different Rashis/signs.

2. A full cycle of Jupiter conjunctions over 12 years shows the

key pattern of only 11 conjunctions with no conjunction in one of

the 12 signs. The synodic cycle of Jupiter is different and varying

when Jupiter is in different rashis.

3. In a tropical conjunction cycle the differential of the

progression of two consecutive conjunctions between two consecutive

signs varies over time in accordance with precessional effect, it

does not do so in the ayanamsha adjusted ephemeris and the

progressive differential is always minimal at the cusp of

Libra/Virgo.

4. An observation of the differential of progressions between

different signs in a multiple synodic cycle of Jupiter on the

Tropical Zodiac with 83 calendar years as the unit, spread over –

4700 BC to 5300 AD strikingly reveals the shifts over every

1075/2100 years. Simple graphs of this data show how simply the

various tropical signs are shifting according to the placement of

the Zero of the Zodiac and provide unique values not only at 285AD

in the conjunction cycle and 321 Ad in the opposition cycle but at

every 2100 year interval on both sides of the zero.

5. The patterns emerging are similar to a single one year cycle

of Jupiter. The elegance and simplicity of the macro linkage of a

Jupiter cycle of 25800 years with the micro one year cycle is

amazingly breathtaking.

6. Separately, in an ayanamsha adjusted ephemeris, observation

of the multiple long term cycles of Jupiter conjunctions/opposition

with Sun reveals that in every 344 years and five days or 319

conjunctions/oppositions; Jupiter and Sun return to nearly the same

point in the Zodiac. This natural cycle like the others which are

known, the Metonic cycle; the Saros cycle runs in a series. From any

date in a calendar and using an ayanamsha adjusted nirayaana

ephemeris, to any other date 344 years+4/5 days away will lead to

nearly the same position of Jupiter as well as Sun. This is the

cycle being termed as the Ujjayini Cycle being used to understand

the rate of precession. This 25800 year cycle at present suggests an

average 50.23 arc seconds of precession every year.

 

The data used for analyzing as well as the detailed illustrated

study is being posted as a file. The excel charts in themselves

reveal the story of the moving zodiac itself deriving the precession

from the equinox in any year uniquely.

The sheer simplicity of measuring the precessional values; the

elegant symphonic and synchronised movements of the cycles over

years is what nature has provided us and the Lord of Time,

Mahakaaleshwar has guided me.

 

Before, I conclude this; I must express my gratitude to Shri PVR

Narasimha Rao, the creator of Jagannath Hora, without which this

study could not have been possible. I am also grateful to Shri

Sanjay Rath whose lucid use of symbols in explaining Jyotisha

helped me. Finally, I need to convey my thanks and regards to Shri

Rohiniranjan, poet, philosopher, a veteran student of Jyotisha for

forty years and a human being par excellence with whom I interacted

on this project for many months and despite hopeless forays in many

blind alleys his constant encouragement was a source of inspiration

in this effort.

 

I remain votive to sunshine as always,

 

Rishi