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It's strange how long it takes to grasp the main idea. 2Harik: Let's do a thought experiment. Let's create an ideal object – a stationary Sun around which Earth orbits. Then, let's place this system in a large chaos and make it move chaotically within that chaos, with additional rotation (who said the solar system doesn't have it?). The question is: how can a person living on planet Earth realize that Earth orbits a stationary Sun? There's no way. For this, you need to be an observer from the outside. And whether it's accelerated or not is a secondary matter. There is probably some mathematical equation for the movement of our Earth relative to the center of the Universe, and there is probably also an equation for the movement of the Sun. That's it. And to simplify calculations, scientists have come up with mathematical abstractions – a rotating Sun around Earth, or vice versa, which is essentially the same thing.