Did the Babylonians believe in the Heliocentric version?
In 150 BC a babylonian heliocentric model is documented. Heliocentric models were not uncommon historically, but Ptolemaios geocentric model was actually better at predicting the movements of the planets until Kepler came up with the idea of elliptic rather than circular orbits in the early 1600s. In the 1500s Copernicus hesitated to publish his heliocentric ideas because they did not improve predictions.