Just small remarks: technically it's not East and West, it changes.
Well, according to the basic physics laws: also yes. Yes because it depends on the observer. No, because it depends on the observer. The Copernicus book was about a theoretical model of an observer outside the planetary system (he didn't even claim that it was true "it was just a theory" - that's why he had no problems with the funny Catholic guys who burnt people for less).
But back to the point: both claims a true: Sun travels in space around Earth... and at the same time Earth does the same around Sun. All depends on the observer.
Maybe with the software it's the same?