# Questions tagged [celestial-mechanics]

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

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### A.e. global existence of solution to 'encased' n-body problem already somewhere in the literature?

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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### Decidability of 3 body problem

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 ...
104 views

### Transport theorem in space craft control: tracking a reference angular velocity

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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### Euler's Master's Thesis

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, ...
123 views

### 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 ...
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\...