The problem is described like this one Liberapedia:

There's yet another reason why modern geocentrism goes against science. There is a slight wobble in the earth's rotation. The earth speeds up and slows down its rotation a little and the point of the earth's axis changes just a bit too.

  1. Heliocentrists have no difficulty explaining this wobble, the earth moves.
  2. Geocentrists have to imagine that the stars and galaxies all

wobble together while the earth stays still. Each wobble started at a different time so the light from these different objects reaches us at the same time giving the appearance of synchrony.

    1. A star 9 Light years away wobbled 9 years ago,
    2. Stars 600 Light years away wobbled 600 years ago,
    3. Galaxies 6 billion Light years away wobbled 6 billion years ago. Galaxies that are very far away wobbled before the Solar system formed.
    4. The light from all these wobbles that really happened at

different times reaches us at exactly the same time so there's the illusion that the whole universe wobbles in synchrony.

Is all the wobbling in the whole universe centred round earth plausible? Consider Occam's razor. Isn't the simpler assumption that the earth wobbles?

But there are two solutions possible.

  • Wobble being actually observed is an urban legend. The quote gave no reference for its observation. Predicting it is no problem for a Newtonian Heliocentric.
  • Wobble is a dance in the stars, but this dance is actually less complex than assumed here, since stars are at a common, little varied distance, and much closer than light years. Its "mechanics" are due to Angelic Movers.