Really perverse periodic solutions of the planar N-body problem

2025/03/11 by Bang, Dominique, Chenciner, Alain, Simó, Carles
#37N05 #70F10 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.08374

Abstract

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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