Hi Therese: Here are some thoughts below and some running commentary too. Some will be stuff we already went over but a good refresher at certain points.
Therese Hamilton wrote:
K. S. Krishnamurti (KSK) left two pieces of information for his followers:
(1) ayanamsa tables calculated only to the arcminute published in KP (Krishnamurti Paddhdhati) Reader #1 (no arcseconds).
(2) a statement that the zero KP ayanamsa year is 291
We know that KSK himself used the arcminutes from this table for his personal work as examples are given in his books were he specifically notes the date and degree and minute of the ayanamsa he is using.
KSK does not give an exact date for his table which leaves an uncertainty of 50 arcseconds in his in ayanamsa. His ayanamsa table was not constructed by using, or correctly applying Newcomb's Precessional theory with 291 as zero year for the coincidence of the tropical and sidereal zodiac.
Or, using the precession rate of value 50.2388475" presented by himself on Reader No.1. Too complicated to go into here but that is incorrect per Newcomb's theory too.
Therese Hamilton wrote:The 292 date suggests that any effort to synchronize 291 with the KP table values is an exercise in futility. ...
With its current algorithm, The Swiss Ephemeris verifies 292 as the zero KP year with these Krishnamurti ayanamsa figures:...
This is confirmed using Newcomb's precessional theory (the only one available to KSK in his day) using the 291 zero year, as the values by the time you reach 1900 are about an arc minute too high. If you use a modern precessional model it's even worse.
KP Paddhati society keeps trying to keep KSKs original zero year though! I know they see it as given by 'Guruji' so it must have been divinely inspired, but facts are facts.
Therese Hamilton wrote:It’s also very interesting that the 1980s Astral11 Indian astrology program manual instructed users to add 5'47" to Lahiri to obtain the Krishnamurti ayanamsa.
The use of offsets to obtain values for your own ayanamsa against a rigorously calculated ayanamsa makes the best sense (and easiest) in the whirling confusion of the many Krishnamurti ayanamsas. It was known pretty early I think after KSKs death and even while he was alive that 291 just didn't work though there were before and since KSKs time complex arguments based on the Surya Siddhanta and other ancient texts what was the zero year. KSK perhaps picked up on one of these arguments for his assigning 291 as the zero.
Therese Hamilton wrote:Taking all this data together, and based on many years experience in using the KP Swiss Ephemeris ayanamsa values in my work, for me the SE ayanamsa is the perfect candidate for the 'true' KP ayanamsa, and 292 is the corrected year for the KP zero ayanamsa.
There are 5 or more KP ayanamsas that are currently available in some form either through software, online calculators, tables etc. and each KP user or other researcher is forced to use one based on their own conviction or faith even if it is the right one. I'll say again that none of them are correct per Newcomb's precessional theory. They all differ from a few seconds to 4 to 5 minutes of each other. In KP society there is no getting around KSKs zero year (291).
Which is the correct ayanamsa? This is beyond my original research. My goal was to bring awareness that the KP ayanamsa is not a settled 'given'.
I am glad that you have been able to come to a firm conclusion in this regard. The discussion will always be with us, that is, which is the right ayanamsa? Personally, as I have mentioned in our personal correspondence, I think SE or Solar Fire Krishnamurti ayanamsa, Lahiri and Chitrapaksha are pretty close. This is based on using sign ingresses (including Panoti Yoga), Vimshottari dasha, and vargas over many many years.
Note though, that KSK writes in his Reader No.1, the difference between CG Rajan’s and Lahiri’s ayanamsa to his own is ‘negligible’ (p. 57). Yet in the same paragraph extols his own ayanamsa as "...very correct..."
Here again is another juxtaposition by KSK that is a mystery throughout his works. He's writing this knowing that his table was only accurate to an arcminute, the other two were calculated to the arcsecond. On the one hand he seems unconcerned with the 'negligible' difference and then declares his is 'very correct'. Which is it? Is the accuracy of an ayanamsa okay within 5-6 minutes or not?
Since KSK didn't share any information with us we will never know. Perhaps when he wrote this he was overconfident that he would eventually settle the issue down to the second, who knows?
Maybe at the end of the day the accuracy issue wasn't that important. Martin presented some great ideas on this. See the previous threads.
Can we do astrology better than let's say Thrasyllus? who worked with what a degree of accuracy in the first century? Raman is said to have based his ayanamsa on a statement by the medieval astronomer Bhaskara and the accuracy of the information he started with was 11° in the year 1183.
What I think is important is KSKs students and devotees have spent over 4 decades trying to 'cut the mustard' to rigidly define the KP ayanamsa.
Therese Hamilton wrote:According to AstroSage, 291 is the zero ayanamsa year (02" arcseconds on 15 April) for the latest accepted KP standard ayanamsa in the KP community, ‘KP New’, but this value cannot match Krishnamurti’s published ayanamsa table in Reader #1. (AJ will know how this KP New ayanamsa was computed.)
There are still KP practitioners using others and even derivative systems that have their own ayanamsa too. Yes you are right KP New cannot really match 291, none of them can, it salvages the zero year of 291 by applying an offset to make it 'jive' exactly with the 291 year given by KSK. Yes, a 'fudge factor' if you will.
Well how close it is to KSKs Original ayanamsa (KPO) is hard to say. KPNew is 22-22-30 for 4/15/1900, and all we know is that KPO is 22-22. though it is very likely that KSK meant 4/15 when the sidereal Sun entered Misha. This is assuming a lot though, which years in KSKs table were on the whole minute for that year, maybe everyone taking the round figure of 1900 is one of the worst years? What if it was 22-21-31??? It all gets back to KSKs cloud of unknowing he left surrounding a lot of things.
Blessings.
~AJ