Article Dans Une Revue Celestial Mechanics and Dynamical Astronomy Année : 2025

Really perverse periodic solutions of the planar N-body problem

Résumé

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.

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hal-04989158 , version 1 (13-03-2025)
hal-04989158 , version 2 (21-07-2025)
hal-04989158 , version 3 (06-08-2025)

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Dominique Bang, Alain Chenciner, Carles Simó. Really perverse periodic solutions of the planar N-body problem. Celestial Mechanics and Dynamical Astronomy, 2025, 137 (4), pp.26. ⟨10.1007/s10569-025-10256-0⟩. ⟨hal-04989158v3⟩
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