quote: The fact is that the relativity principle obviates the heliocentric model just as much as it supports that model. he argument is basically a two edged sword. The relativity argument cuts both ways. It can be used to argue for the moving earth, but then just as well against the moving earth. If all motion is relative, then the reference coordinate system is only a convention.
There's a big problem with that argument. Only inertial reference frames are equivalent. You can't treat an accelerating reference frame in the same way.
quote: My research thus far indicates that the idea of circular orbits for the Sun and the Earth in the copernican model have been ruled out.
Well you see that isn't the issue.
The issue is whether relativity undermines itself by making a stationary Earth equivalent to an orbiting Earth, as you claimed. It does not. And the reason is that an orbiting Earth is accelerating, and therefore a frame of reference that takes the Earth as stationary cannot be equivalent because of that acceleration.