Nonintegrability of the two-body problem in constant curvature spaces II
Dynamical Systems
2011-11-09 v1 Mathematical Physics
math.MP
Abstract
We consider the reduced two-body problem with a central potential on the sphere and the hyperbolic plane . For two potentials different from the Newton and the oscillator ones we prove the nonexistence of an additional meromorphic integral for the complexified dynamic systems.
Keywords
Cite
@article{arxiv.math/0611373,
title = {Nonintegrability of the two-body problem in constant curvature spaces II},
author = {Alexey V. Shchepetilov},
journal= {arXiv preprint arXiv:math/0611373},
year = {2011}
}
Comments
10 pages