# Questions tagged [celestial-mechanics]

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

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

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This is a reference request for the following modern formulation of one of the central results of mathematical physics—Newton’s deduction of the inverse square law from Kepler’s description of the ...

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In the study of the Newtonian n-body problem, it seems that Von Zeipel's theorem and Saari's theorem concerning the improbability of collision singularities ought to lend themselves to a nice ...

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Is there a result showing that something along the lines of the three body problem is undecidable? Or are they known to be decidable or neither?
I mean problems along the lines of the following ...

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I am reading the book named "Analytical mechanics aerospaces systems" by Schaub and Junkins.
In section 7.2, the task is to control the spacecraft to track a specified angular velocity $w_r$ ...

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At the age of 16, Leonhard Euler defended his Master's Thesis, where he discussed and compared Descartes' and Newton's approaches to planet motion. I don't know anything else about it. In particular, ...

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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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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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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\...