"All of which brings up the point -- this is evidence of a helio-centric solar system . . ."
If you haven't been reading the other posts on this topic in the thread, you might want to go back and do that. We are way past this argument.
If you have read them and still think this is evidence, then there is nothing else that I can say that will be meaningful to you.
Well, I read your other posts, and they didn't make sense. At one point you even specifically contradict yourself, and say something nonsensical like, "Observed evidence is not evidence". So I was hoping you'd discuss it with me, on the specifics, so we could avoid the language that seems to be confusing.
You observe the locations and movements of the sun and the earth. No matter what coordinate system you use, you notice that the movements seem to follow the two bodies rotating around the center of the mass of gravity of the two bodies. You then observere that due to the difference in mass, this center is in the Sun.
All observed, real data. All pointing to a specific gravitational system. A system in which the center of rotation is the Sun.
This is evidence, agreed?