Questions tagged [celestial-mechanics]

The part of classical mechanics which deals with the motion of planets and satellites.

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restricted three body problem equations of motion using particle distances and one angle variable

If we solve numerically a three (or $N$) body planar problem, it's easy to calculate the distances of the bodies as function of time. Conversely if we know the interparticle distances as functions of ...
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Status of the three-body problem

I find many numerical results on the three-body problem, but what is rigorously proved? Especially I would be interested in the parameter domains for which we have rigorous lower bounds on the ...
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Precise form of the mean motion theorem

Consider an exponential polynomial $$f(t)=\sum_{k=1}^na_k\exp(i\lambda_kt),$$ where $a_k$ are complex and $\lambda_k, t$ real. The usual form of the Mean Motion Theorem says that the limit $$\lim_{t\...