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.

Symmetric solutions of the n-body problem: A numerical study of Floquet multipliers and Morse indices / Berti, Diego; Canneori, Gian Marco; Ciccarelli, Roberto; De Blasi, Irene; Introna, Margaux; Polimeni, Davide. - In: ASTRONOMY AND COMPUTING. - ISSN 2213-1345. - 55:(2026), pp. 1-12. [10.1016/j.ascom.2026.101085]

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

Polimeni, Davide
2026

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/3007996