have you considered the adityas heliocentrically?
as an additional perspective, not replacing the tropical geocentric one?
it seems that the plane of the eartsh orbit is inclined 7.25 degrees with respect to the equatorial plane of the sun
so the earth has nodes...
so heliocentric is a sidereal system, but it would still need an anchor, the galactic center?
would the beginning of dhata precess if you viewed it heliocentrically? it seems like the exact position would change, but it would be more or less in the same spot, so, heliocentrically, the equinox would not precess
why about baryocentric?
seems like it could work, looking at the animations shown in this article:
here's the specific youtube link showing Sun, Jupiter and Saturn rotating around the barycenter
(of course the sun itself is spinning through space, i.e., the whole solar system as a whole is also rotating and around other things...expanding out to that level reminds of the traditional indian conceptions of the lengths of the yugas, where kali yuga last 432,000 years and satya yuga lasts 1,728,000 years. these numbers might make sense on the scale of the rotation of our galaxy as a whole...its not clear how that would directly impact adityas though)