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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