[mannykannot]

What the church believed is neither here nor there.

Failure to observe stellar parallax is not scientific evidence for geocentricity, as there is an explanation, obvious to anyone who understands parallax (and, as it happens, correct), for the non-observation. Consequently, Occam's razor (which is a methodological assumption, not an axiom of either logic or the scientific method) does not apply.

Kepler had fixed the prediction issue.

I do not believe the center-of-gravity issue was considered at that time, and if not, could not be a reason for preferring geocentricity at that time (and by the time it was recognized, geocentricity was already scientifically untenable.)