What happens when an immovable object meets an unstoppable force?
According to physics, nothing, as the paradox negates itself. I.e., "an irresistible force cannot exist because it would require an infinite amount of energy which is not possible in a finite universe. An immovable object cannot exist because everything is constantly moving and an object that large would collapse under its own weight and create a black hole" (according to Wikipedia, anyway).
Which is weird, because that's both true and false, here. It takes infinite energy to keep moving in every direction and creates a terrible weight to be so goddamn sure all the time. But that doesn't stop our orbit, nope. Not even for one fucking minute.