Geocentric model the geocentric view than Newtonian physics does, relativity is not geocentric. Rather, relativity states that the Sun, the Earth, the Moon, Jupiter, or any other point for that matter could be chosen as a center of the solar system with equal validity. For this reason Robert Sungenis, a modern geocentrist, spent much of Volume I of his book "Galileo Was Wrong: The Church Was Right" critiquing and trying to unravel the Special and General theories of Relativity. Relativity agrees with Newtonian predictions that regardless of whether the Sun or the Earth are chosen arbitrarily as the center of the coordinate
Geocentric model not appear to a noticeable extent when the eccentricity is less than 5%, but the offset distance of the "center" (in fact the focus occupied by the sun) is very noticeable even with low eccentricities as possessed by the planets. To summarize, Ptolemy devised a system that was compatible with Aristotelian philosophy and managed to track actual observations and predict future movement mostly to within the limits of the next 1000 years of observations. The observed motions and his mechanisms for explaining them include: The geocentric model was eventually replaced by the heliocentric model. The earliest heliocentric model, Copernican heliocentrism,