# Potentials allowing integration of the perturbed two-body problem in regular coordinates

@article{Poleshchikov2013PotentialsAI, title={Potentials allowing integration of the perturbed two-body problem in regular coordinates}, author={S. Poleshchikov}, journal={arXiv: Exactly Solvable and Integrable Systems}, year={2013} }

The problem of separation of variables in some coordinate systems obtained with the use of $L$-transformations is studied. Potentials are shown that allow separation of regular variables in a perturbed two-body problem. The potential contains two arbitrary smooth functions. An example of a potential is considered allowing explicit solution of the problem in terms of elliptic functions. The cases of bounded and unbounded motion are shown. The results of numerical experiments are given.

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