At least one of our geocentrist posters has claimed that the Earth is immobile, neither rotating nor revolving around another body. To explain the observed movements of the Sun, Moon, planets, and stars, it is proposed that these bodies move around the Earth.
One peculiar thing though (out of many peculiar things). Looking at this from a geocentrist point of view, the only stars that could be described as moving around the Earth would be those on the celestial equator. When the paths of all other stars are examined, their centers of motion are positioned somewhere other than the Earth. As stars are located farther from the celestial equator, their diurnal motion becomes less and their centers of revolution are farther and farther from Earth. And in the case of stars near the north and south celestial poles, which show very little diurnal motion at all, their centers of revolution are very distant indeed.
Case in point. Let's look at the "orbit" of Polaris by examining a 6-hour time exposure of the "North Star". This star will describe an arc that is 1/4 of a circle whose diameter is 1 degree, 28 minutes. The center of Polaris's revolution is obviously 44 minutes from the diameter of this circle. And this center of revolution is a long way from anything on Earth, including Earth's center of mass.
Objects need to have at least one other mass in order to establish an orbit. Otherwise there's a translational velocity, but no orbit since there's no two-body system.
Therefore the paths of >99% of all stars demonstrate that the concept of the stars revolving around the Earth is false. And, for me, that's enough thought about geocentrism.
Note: crystal spheres are not allowed in this discussion.