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I'm trying to understand gravity in General Relativity and I'm having some questions. I can understand that an object in orbit around another more massive object is free falling and simply following a geodesic. What I can't understand is, if those objects are standing still relative to each other, why would they ever "start moving" along a geodesic until they collide? My feeling is that the problem is somewhat related to my definition of "standing still", which in this case it would be that the objects pop up spontaneously out of nowhere without any force acting on them and they happen to be close.