Really perverse periodic solutions of the planar N-body problem

Fuente: arXiv
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Autori principali: Bang, Dominique, Chenciner, Alain, Simó, Carles
Natura: Preprint
Pubblicazione: 2025
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author Bang, Dominique
Chenciner, Alain
Simó, Carles
author_facet Bang, Dominique
Chenciner, Alain
Simó, Carles
contents Examples are given of solutions of the planar N-body problem which remain the same for at least two systems of masses with the same sum and same center of mass. The least value of N achieved up to now with this property is 474, a number which had been announced in the first author's thesis.
format Preprint
id arxiv_https___arxiv_org_abs_2503_08374
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Really perverse periodic solutions of the planar N-body problem
Bang, Dominique
Chenciner, Alain
Simó, Carles
Dynamical Systems
37N05, 70F10
Examples are given of solutions of the planar N-body problem which remain the same for at least two systems of masses with the same sum and same center of mass. The least value of N achieved up to now with this property is 474, a number which had been announced in the first author's thesis.
title Really perverse periodic solutions of the planar N-body problem
topic Dynamical Systems
37N05, 70F10
url https://arxiv.org/abs/2503.08374