New periodic orbits in the planar equal-mass five-body problem
type: Item
instance of: scholarly article
title: New periodic orbits in the planar equal-mass five-body problem
author: Shaoqi Han
author: Anping Huang
author: Tiancheng Ouyang
author: Duokui Yan
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2020-10-07T00:00:00Z
Mathematics Subject Classification ID: 70-XX
Mathematics Subject Classification ID: 74-XX
zbMATH DE Number: 7257657
zbMATH Keywords: five-body problem
zbMATH Keywords: variational method
zbMATH Keywords: periodic orbit
zbMATH Keywords: free boundary value problem
MaRDI profile type: Publication
full work available at URL: j.cnsns.2017.01.015
OpenAlex ID: W2576574024
cites work: A remarkable periodic solution of the three-body problem in the case of equal masses
cites work: Q4549204
cites work: Action-minimizing orbits in the parallelogram four-body problem with equal masses
cites work: Variational methods on periodic and quasi-periodic solutions for the N-body problem
cites work: Removing collision singularities from action minimizers for the \(N\)-body problem with free boundaries
cites work: Existence and minimizing properties of retrograde orbits to the three-body problem with various choices of masses
cites work: Action-minimizing periodic and quasi-periodic solutions in the \(n\)-body problem
cites work: On the existence of collisionless equivariant minimizers for the classical \(n\)-body problem
cites work: How the method of minimization of action avoids singularities
cites work: Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem
cites work: Linear stability analysis of the figure-eight orbit in the three-body problem
cites work: Q4408029
cites work: Linear stability for some symmetric periodic simultaneous binary collision orbits in the four-body problem
cites work: Existence and linear stability of the rhomboidal periodic orbit in the planar equal mass four-body problem
cites work: Classification of periodic orbits in the planar equal-mass four-body problem
cites work: Linear stability of double-double orbits in the parallelogram four-body problem
cites work: Q3451004
cites work: New Phenomena in the Spatial Isosceles Three-Body Problem with Unequal Masses
cites work: New periodic solutions for Newtonian \(n\)-body problems with dihedral group symmetry and topological constraints
DOI: 10.1016/J.CNSNS.2017.01.015
description: scientific article; zbMATH DE number 7257657