I was having trouble making sense of the geosynchronous orbits from a relativistic point of view. Correct me if I am wrong, but in a geosynchronous orbit the object appears to hover over a certain place on the Earth, from the point of view of the Earth, which can be said to be at rest according to the principle of relativity, the object is at rest above the Earth. Therefore, should the general pinciple of relativity hold true, the object should begin to fall towards the Earth in a straight line relative to an observer on the Earth's surface. This obviously doesn't happen, but I have good faith that there exist a solution somewhere in the theory, which is why I have addressed my troubles here. Thank-you.