• Corpus ID: 3204703

Two-body problem on a sphere. Reduction, stochasticity, periodic orbits

@article{Borisov2005TwobodyPO,
  title={Two-body problem on a sphere. Reduction, stochasticity, periodic orbits},
  author={Alexey Vladimirovich Borisov and Ivan S. Mamaev and Alexander A. Kilin},
  journal={ArXiv},
  year={2005},
  volume={abs/nlin/0502027}
}
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. 

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