# Two-body Problem on a Sphere in the Presence of a Uniform Magnetic Field

@article{Balabanova2021TwobodyPO, title={Two-body Problem on a Sphere in the Presence of a Uniform Magnetic Field}, author={Nataliya A. Balabanova and James Montaldi}, journal={Regular and Chaotic Dynamics}, year={2021} }

We investigate the motion of one and two charged non-relativistic particles on a sphere in the presence of a magnetic field of uniform strength. For one particle, the motion is always circular, and determined by a simple relation between the velocity and the radius of motion. For two identical particles, interacting via a cotangent potential, we show there are two families of relative equilibria, called Type I and Type II. The Type I relative equilibria exist for all strengths of the magnetic…

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