On action-minimizing solutions of the two-center problem

DOI10.1007/s10473-022-0615-9OpenAlexW4294439973MaRDI QIDQ2080985

Yanyan Li

Publication date: 12 October 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-022-0615-9

zbMATH Keywords

\(n\)-body problemvariational methodcollision singularitytwo-center problem

Mathematics Subject Classification ID

Two-body problems (70F05) Celestial mechanics (70F15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Collisions in celestial mechanics, regularization (70F16)

Cites Work

• Periodic solutions of the planar \(N\)-center problem with topological constraints
• Symbolic dynamics for the \(N\)-centre problem at negative energies
• Topologically distinct collision-free periodic solutions for the \({N}\)-center problem
• Integrable systems in celestial mechanics.
• Variational aspects of the two-center problem
• Variational construction for heteroclinic orbits of the \(N\)-center problem
• Syzygies in the two center problem
• Syzygy sequences of the -center problem
• Sharp Estimates for Complete Elliptic Integrals

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