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What you're describing is called the "Three-body problem" in Physics. Since Newton

wrote his law of gravity, the problem has been studied by every big name in Physics

and Math, including Newton himself. Now, in 2013, it's still far from being completely

understood, and there's no general solution, so you shouldn't feel so bad.

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Q: How can you determine the path of an object being affected by forces that vary according to position Like a comet moving between earth and the moon feeling gravity from both objects?
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