Samuelbilner,
First of all the planets move because of gravity the sun has the biggest gravatational pull in the solar system and causes all the other planets to move it is therefore more meaningfull to say that the sun is in the center and the earth moves around it since the sun causes the other planets to move as they do (the fact that the sun is what causes the other planets to move has been proven as a fact and we can make predictions based on it how the planets will move and how comets flying by will travel.)
second of all: even according to what you said the theory of relativity would say that niether is circling the other and the achronim argued that with such arguments as “if the earth was moving we would feel the wind” and that the earth revolving around the sun went against storis in tanach such as yehoshua stopping the sun (and not the earth) and not that niether view is true or false