Morse index for figure-eight choreographies of the planar equal mass three-body problem

DOI10.1088/1751-8121/aab06dzbMath1398.70029arXiv1710.04834OpenAlexW3101302264MaRDI QIDQ4639425

Toshiaki Fujiwara, Hiroshi Ozaki, Hiroshi Fukuda

Publication date: 9 May 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04834

zbMATH Keywords

three-body problemMorse indexLennard-Jones type potentialfigure-eight choreography

Mathematics Subject Classification ID

Related Items (1)

Morse index and bifurcation for figure-eight choreographies of the equal mass three-body problem

Cites Work

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• Morse index and stability of elliptic Lagrangian solutions in the planar three-body problem
• Index and stability of symmetric periodic orbits in Hamiltonian systems with application to figure-eight orbit
• Figure-eight choreographies of the equal mass three-body problem with Lennard-Jones-type potentials
• Periodic solutions of theN-body problem with Lennard-Jones-type potentials
• Braids in classical dynamics
• A remarkable periodic solution of the three-body problem in the case of equal masses
• Morse index and linear stability of the Lagrangian circular orbit in a three-body-type problem via index theory

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