User:Syncategoremata/Elliptical orbits

There are various claims made on Wikipedia about the discovery that planets move in elliptical orbits (whether geocentric or heliocentric ones).

This is claimed mostly for

I have no particular expertise in the case of Āryabhaṭa, but I will discuss the other two cases here.

For more details on much of this area, see also Talk:History_of_astronomy/Common_misconceptions put together by SteveMcCluskey (talk · contribs). I also use some material from his sandbox.