On the fixed homogeneous circle problem

Details On the fixed homogeneous circle problem On the fixed homogeneous circle problem

2003-07-25

arxiv.org/abs/math/0307329v5

Mathematics

Dynamical Systems

Scientific paper

We give some results about the dynamics of a particle moving in Euclidean
three-space under the influence of the gravitational force induced by a fixed
homogeneous circle. Our main results concern (1) singularities and (2) the
dynamics in the plane that contains the circle. The study presented here is
purely analytic.

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