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Anyone who gets their Indian cosmological understanding of Trepidation, or anything to do with ancient cosmology, from Wikipedia deserves to believe what they are reading.
Of course modern physical astronomy rejects the idea of Trepidation. It also rejects, well... all of astrology, be it tropical, sidereal, the idea of the zodiac, the influence of planets onto human affairs, it rejects the idea of an Ascendant having anything to do with your life. It knows for one, that the poor folks born above the polar circle can have an ascendant that is several months old.
I know modern astrologers want to be vindicated by science. This will be a wild goose chase as long as science is a purely material pursuit.
There was in siddhantic times the notion of 2 movements of the ayanas. To quote V J : ' precession was known to ancients, but this precession was Trepidation of Bhachakra (=Dol??yana) as mentioned in all siddhantas and Narada Pur??na, and not the modern concept of Chakr??yana (circular motion of equinoxes or solstices). But the latter was also known to ancients, as shown in the section on Bhaskara-ii above.'
These ideas of dolayana and chakrayana are not for the casual observer. They are found in the motions of Veethees described in several Puranas,which are calculated from Divine (Divya) Equinoxes and Solstices, themselves siddhantic and puranic concepts, based on Dolayana (meaning of trepidation) idea from Siddhantas and Puranas. In Puranas for ex. the equinoxes and solsices are always 3 nakshatras removed from the vernal point or tropical solstices. This obviously supports Trepidation, and not a modern precession theory. The ayanamsa motion is more involved than mere precession of the equinox.
I have written an article on these, as well as the trepidation ayanamsa from Surya Siddhanta, on my site. And readers are refered to the VJ article.
http://vedicastrology.wikidot.com/ayana ... ssion#toc4
My article on the ayanamsa in english
https://pjtou.github.io/ayanamsa.html
An article on solstices and equinoxes, in french for now.
https://pjtou.github.io/SolsticesJyotish.pdf.html
These notions are not exclusive to Vinay Jha, and many traditional astrologers base their charts on siddhantic principles, like Bimala Prasada Siddhanta Saaraswati did (the Guru of A.C. Bhaktivedanta, founder of the Hare Krishna movement). He actually did translate the Surya Siddhanta and S Siromani, and advocated their use for astrology. He was the most famous astronomer and astrologer in the late 19th century. But this will be too much work for most people.