New periodic orbits in the planar equal-mass three-body problem

DOI10.3934/dcds.2018090zbMath1439.70017OpenAlexW2782650775MaRDI QIDQ1661058

Jiangyuan Li, Duokui Yan, Rongchang Liu

Publication date: 16 August 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2018090

zbMATH Keywords

three-body problemperiodic orbitvariational methodtopological constraint

Mathematics Subject Classification ID

Three-body problems (70F07) Variational methods applied to PDEs (35A15) (n)-body problems (70F10)

Related Items (1)

Geometric properties of minimizers in the planar three-body problem with two equal masses

Cites Work

• Unnamed Item
• On action-minimizing retrograde and prograde orbits of the three-body problem
• How the method of minimization of action avoids singularities
• Simple choreographies of the planar Newtonian \(N\)-body problem
• Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem
• Existence and minimizing properties of retrograde orbits to the three-body problem with various choices of masses
• Multiple periodic orbits connecting a collinear configuration and a double isosceles configuration in the planar equal-mass four-body problem
• A family of periodic solutions of the planar three-body problem, and their stability
• Periodic orbits in the Planar General Three-Body Problem
• A Minimizing Property of Keplerian Orbits
• A remarkable periodic solution of the three-body problem in the case of equal masses

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