And how would the fact that the distance varies uniquely support heliocentrism over geocentrism?
Surely you know.
Indeed I do. If you don't, on the other hand, you've just revealed that you haven't a clue about even the most elementary principles of physics. Why not just admit that your question is a bluff in an attempt to get me to help you make heads or tails of a topic you can't even begin to understand, but are attempting to "debate" anyway?