Potentials allowing integration of the perturbed two-body problem in regular coordinates
Exactly Solvable and Integrable Systems
2013-03-26 v1 Mathematical Physics
math.MP
Abstract
The problem of separation of variables in some coordinate systems obtained with the use of -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.
Cite
@article{arxiv.1303.6037,
title = {Potentials allowing integration of the perturbed two-body problem in regular coordinates},
author = {Sergey M. Poleshchikov},
journal= {arXiv preprint arXiv:1303.6037},
year = {2013}
}
Comments
27 pages, 8 figures