Geocentrism is basically the notion that the earth is the center of the universe and thus stationary and everything revolves around the earth.
Motion of Sun, Earth, and Mars according to heliocentrism (left) and to geocentrism (right), before the Copernican-Galilean-Newtonian revolution. Note the retrograde motion of Mars
on the right. Yellow dot, Sun; blue, Earth; red, Mars. (In order to get a smooth animation, it is assumed that the period of revolution of Mars is exactly 2 years, instead of the actual value, 1.88 years). The orbits are assumed to be circular, in the heliocentric case.
Following a Timeline concerning Geocentrism