Figure-eight choreographies of the equal mass three-body problem with Lennard-Jones-type potentials

DOI10.1088/1751-8121/aa5741zbMath1398.70028arXiv1606.08760OpenAlexW2473211805MaRDI QIDQ2975037

Hiroshi Ozaki, Hiroshi Fukuda, Toshiaki Fujiwara

Publication date: 11 April 2017

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

Full work available at URL: https://arxiv.org/abs/1606.08760

zbMATH Keywords

three-body problemfigure-eight choreographiesLennard-Jones type potentials

Mathematics Subject Classification ID

Three-body problems (70F07) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (5)

Morse index and bifurcation for figure-eight choreographies of the equal mass three-body problem ⋮ Results on equality of masses for choreographic solutions of n-body problems ⋮ A numerical method for fractional Schrödinger equation of Lennard-Jones potential ⋮ Morse index for figure-eight choreographies of the planar equal mass three-body problem ⋮ A restricted four-body problem for the figure-eight choreography

Cites Work

• Unnamed Item
• Convexity of the figure eight solution to the three-body problem
• Periodic solutions of theN-body problem with Lennard-Jones-type potentials
• Choreographic three bodies on the lemniscate
• Braids in classical dynamics
• A remarkable periodic solution of the three-body problem in the case of equal masses

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