Symmetric solutions of the n-body problem: A numerical study of Floquet multipliers and Morse indices

Astronomy and Computing 2026 Open access

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Authors: Diego Berti, Gian Marco Canneori, Roberto Ciccarelli, Irene De Blasi, Margaux Introna, Davide Polimeni
DOI: 10.1016/j.ascom.2026.101085
Cited by: 0
References: 31

Abstract

In this paper, we consider periodic solutions of the n -body problem that satisfy symmetry constraints, expressed through invariance under finite group actions. We focus on their stability properties and present algorithms specifically designed for the computation of Floquet multipliers and Morse indices. Numerical results are provided to illustrate our methods in both two and three dimensional configuration spaces, and for different choices on the number of bodies.

Fields of Study & Subjects

Spacecraft Dynamics and Control Advanced Differential Equations and Dynamical Systems Mathematical Dynamics and Fractals

Publication details

Journal / source
Astronomy and Computing
Volume
55
Pages
101085–101085
Publication date
17 February 2026
Language
EN