If the gravity effect we witness is due to objects travelling along geodesics, why is the geodesic different for objects with different velocities if there is no gravitational force as such?
For example, a fast asteroid may veer toward a planet and miss it whereas a slower asteroid may get closer to the planet and possibly hit it.
What would cause an object moving in a continuous direction (as it must) to take a different path because it is slower, unless there is another force acting on it?
Does space curve more dramatically for slower objects? If so, is this related to time dilation?