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• W2785157247 abstract "In (Fusco et. al., 2011) several periodic orbits of the Newtonian N-body problem have been found as minimizers of the Lagrangian action in suitable sets of T-periodic loops, for a given T>0. Each of them share the symmetry of one Platonic polyhedron. In this paper we first present an algorithm to enumerate all the orbits that can be found following the proof in (Fusco et. al., 2011). Then we describe a procedure aimed to compute them and study their stability. Our computations suggest that all these periodic orbits are unstable. For some cases we produce a computer-assisted proof of their instability using multiple precision interval arithmetic." @default.
• W2785157247 created "2018-02-02" @default.
• W2785157247 creator A5024188823 @default.
• W2785157247 creator A5029435548 @default.
• W2785157247 date "2018-10-05" @default.
• W2785157247 modified "2023-09-25" @default.
• W2785157247 title "On the stability of periodic <i>N</i>-body motions with the symmetry of Platonic polyhedra" @default.
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• W2785157247 doi "https://doi.org/10.1088/1361-6544/aad644" @default.
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