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arXiv · 1605.03816

An existence proof of a symmetric periodic orbit in the octahedral six-body problem

Anete Soares Cavalcanti
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Abstract

We present a proof of the existence of a periodic orbit for the Newtonian six-body problem with equal masses. This orbit has three double collisions each period and no multiple collisions. Our proof is based on the minimization of the Lagrangian action functional on a well chosen class of symmetric loops.

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Anete Soares Cavalcanti. 2016-05-12. An existence proof of a symmetric periodic orbit in the octahedral six-body problem. https://arxiv.org/abs/1605.03816

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