Two-body problem on a sphere. Reduction, stochasticity, periodic orbits
混沌动力学
2009-09-29 v1 其他计算机科学
可精确求解与可积系统
摘要
We consider the problem of two interacting particles on a sphere. The potential of the interaction depends on the distance between the particles. The case of Newtonian-type potentials is studied in most detail. We reduce this system to a system with two degrees of freedom and give a number of remarkable periodic orbits. We also discuss integrability and stochastization of the motion.
引用
@article{arxiv.nlin/0502027,
title = {Two-body problem on a sphere. Reduction, stochasticity, periodic orbits},
author = {A. V. Borisov and I. S. Mamaev and A. A. Kilin},
journal= {arXiv preprint arXiv:nlin/0502027},
year = {2009}
}
备注
15 pages, 6 figures