On the fixed homogeneous circle problem
classification
🧮 math.DS
keywords
circledynamicsfixedhomogeneousresultsanalyticconcerncontains
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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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