We have an N bodies which gravitates with another body. Only that one body is moving and all N bodies are static.
Is it possible to calculate analytically the moving body trajectory in this case?
2026-04-24 05:06:42.1777007202
Is it possible to solve N-body problem if only one body is moving and all other are static?
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Already Euler solved the problem of computing the orbit of a body moving in the gravitational field from two fixed masses; see for example Wikipedia.
With more than two fixed masses I don't know the answer, but I suspect that it's not an integrable system anymore (except perhaps for very particular configurations of the masses).