As an ex-doctoral student in astrophysics, I can confirm that there are a lot of crackpots out there. The most common claim was that heliocentricity was correct, if you can believe it.
They believe heliocentricity is correct as in they believe the orbital mechanics work out only if you pick Sol as your inertial reference? They don't believe you can pick an arbitrary inertial reference and get the physics to work out, a la general relativity?