publication . Preprint . 2016

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

Cavalcanti, Anete Soares;
Open Access English
  • Published: 12 May 2016
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.
Subjects
free text keywords: Mathematics - Dynamical Systems
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