At one time, people believed that the Earth was the center of the universe, and that the planets and the sun orbited around it. Copernicus came along and challenged this idea, suggesting that the sun was the center. These are the only two sides of the debate that we ever hear about.
Heliocentrism vs. geocentrism is a false dichotomy. To get better science, we need to enumerate more theories. If I were alive at the time of Copernicus, I would offer the theory that Earth orbited the sun in even years, and the sun orbited the Earth in odd years. Something like this perhaps: