most citedOn the fixed homogeneous circle problem

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math.CA2005

On the Existence of Periodic Orbits for the Fixed Homogeneous Circle Problem

C. Azevedo, P. Ontaneda

We prove the existence of some types of periodic orbits for a particle moving in Euclidean three-space under the influence of the gravitational force induced by a fixed homogeneous…

math.CA2003

Continuous Symmetric Perturbations of Planar Power Law Forces

C. Azevedo, P. Ontaneda

We show the existence of periodic solutions for continuous symmetric perturbations of certain planar power law problems.