Classification of periodic orbits in the planar equal-mass four-body problem

DOI10.3934/PROC.2015.1115zbMath1360.70017OpenAlexW2322698153MaRDI QIDQ260974

Tiancheng Ouyang, Zhifu Xie, Duokui Yan

Publication date: 22 March 2016

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

Full work available at URL: https://doi.org/10.3934/proc.2015.1115

zbMATH Keywords

four-body problemperiodic orbitvariational method

Mathematics Subject Classification ID

Newton-type methods (49M15) Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items (5)

A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses ⋮ Action minimizers under topological constraints in the planar equal-mass four-body problem ⋮ New periodic orbits in the planar equal-mass five-body problem ⋮ Exclusion of quadruple collisions in minimizers of the planar equal-mass N-body problem ⋮ The Broucke–Hénon orbit and the Schubart orbit in the planar three-body problem with two equal masses

Cites Work

• Unnamed Item
• Linear stability for some symmetric periodic simultaneous binary collision orbits in the four-body problem
• Existence and linear stability of the rhomboidal periodic orbit in the planar equal mass four-body problem
• Periodic solutions with singularities in two dimensions in the \(n\)-body problem
• On the existence of collisionless equivariant minimizers for the classical \(n\)-body problem
• Variational methods on periodic and quasi-periodic solutions for the N-body problem
• Action-minimizing orbits in the parallelogram four-body problem with equal masses

This page was built for publication: Classification of periodic orbits in the planar equal-mass four-body problem