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Symmetric periodic orbits for the n-body problem: some preliminary results

Davide L. Ferrario
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Abstract

We show the existence of some infinite families of periodic solutions of the planar Newtonian n-body problem --with positive masses-- which are symmetric with respect to suitable actions of finite groups (under a strong--force assumption, or just numerically). The method is by minimizing a discretization of the action functional under symmetry constraints.

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Davide L. Ferrario. 2002-08-23. Symmetric periodic orbits for the n-body problem: some preliminary results. https://arxiv.org/abs/math/0208188

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