jon_mx said:
Or they could be correct and the question is poor. From the perspective of someone on earth, the sun is revolving around us. From the perspective of other locations in our solar system, it would appear the sun is relatively stationary and the earth spins and orbits around the sun.
This doesn't work.
Under Einsteinian relativity, velocity is relative, but acceleration is not. Revolution means acceleration -- so we can't say that what revolves around what is all just a matter of perspective. It is true that the sun accelerates a tiny bit due to the earth's gravitational pull, but that is rather insignificant compared to how much the earth accelerates -- revolves -- due to the sun's gravitational pull.
Saying that the sun revolves around the earth if we use the earth as our point of reference is not really valid, because we're not supposed to use a point of reference that is being acted on by a force (as the earth is). From any neutral, non-accelerating point of reference, the earth revolves around the sun.
Hawking's statement is true: both Ptolemy's and Copernicus's models are consistent with our observations of planetary motion. But that doesn't mean that they're equally valid (even aside from considerations of Occam's Razor). Copernicus's model has the advantage of also being consistent with the theory of gravity, which must be considered a pretty solid theory at this point, at least in its basics. Ptolemy's model diverges quite sharply from our current theory of gravity, which is a major strike against it.