# 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.

## 41 Citations

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