Distance estimates for simple choreographic solutions of the three-body problem

DOI10.1007/s10114-022-2249-1zbMath1502.70020OpenAlexW4308433749MaRDI QIDQ2096934

Yanyan Li

Publication date: 11 November 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-022-2249-1

zbMATH Keywords

\(n\)-body problemvariational methodmutual distance

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (1)

Distance estimates for action-minimizing solutions of the \(N\)-body problem

Cites Work

• Variational proof of the existence of the super-eight orbit in the four-body problem
• On the variational approach to the periodic \(n\)-body problem
• On action-minimizing retrograde and prograde orbits of the three-body problem
• Binary decompositions for planar \(N\)-body problems and symmetric periodic solutions
• On the existence of collisionless equivariant minimizers for the classical \(n\)-body problem
• Simple choreographies of the planar Newtonian \(N\)-body problem
• Existence and minimizing properties of retrograde orbits to the three-body problem with various choices of masses
• Simple Choreographic Motions of N Bodies: A Preliminary Study
• A Minimizing Property of Keplerian Orbits
• Braids in classical dynamics
• A remarkable periodic solution of the three-body problem in the case of equal masses
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