General relativity orbits

I understand general relativity is the warping of space time and thats why objects fall towards it. But how do planets or moons orbit each other and not fall in?

Centrifugal force, outward, due to the circular motion balances the inward force due to gravity.

Another way to look at it is: The moon starts out with a forward velocity which the attraction force of gravity modifies into a circle. The moon is always falling towards the central body, but the forward motion carries it forward enough so that it never hits.

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Those objects you mention have just enough velocity through the deformed spacetime warpage to prevent them from falling further into the warp. Think of a weight tied on a string that you twirl around your head. You can feel the weight trying to fly away from you due to its velocity, but at the same time the string (..gravity..) is trying to pull it in.