I've had quite a few conversations with geocentrists, and not a one has been able to do any of the math. They are great at saying "according to relativity, X must be true"; but when someone else or I do that math it turns out that X is false. This has been especially true when discussing the role of relativity in GPS. Alas, most of it is gone with the Theology Web crash. But I remember most of it.
Especially I remember Bob Bennet's alleged answer to the issue of "Ether Wind" in relation to the Foucalt pendulum and the fact that rockets launched towards the East get a speed boost. He said there were two ether winds; one electromagnetic blowing wets to east and one inertial blowing west-east. The inertial wind accounts for the rocket, the electromagnetic wind accounts for the pendulum by differences in the wind force between when the pendulum is at the north half of its swing and when it's at the south half of its swing (what happens when the pendulum is swinging in the east-west plane?). (Some geocentrists think that the electromagnet used to keep a Foucalt pendulum swinging is an integral part of the apparatus.) Obviously those are very select winds. It's hard to believe that someone with an earned PhD in physics could actually say something so stupid, but it was secondhand.
Some especially interesting takedowns of geocentrists other than GPS are:
None of your synopses contain any evidence. This is an evidence-based forum; whether or not you can post your synopses is up to others, but everyone is going to expect you to defend the claims you are making with evidence, and that means doing the math.
If you are not going to defend your claims with calculations, you are wasting everyone's time.
Just how fast would stars have to move in order to orbit the earth in one day? Alpha Centauri is about 4.2 light years from earth. Tau Ceti is just under 12 light years away. Does your research indicate that faster than light motion in a circle is possible
It's pretty obvious that you won't get an answer from her, but there is an "answer". Just as space itself is expanding in mainstream astronomy, space itself is rotating and the stars do not move faster than light within that space.