Linear stability of double-double orbits in the parallelogram four-body problem
type: Item
instance of: scholarly article
title: Linear stability of double-double orbits in the parallelogram four-body problem
zbMATH Open document ID: 1353.37160
author: Hao Peng
author: Duokui Yan
author: Tiancheng Ouyang
author: Shi-Jie Xu
published in: Journal of Mathematical Analysis and Applications
publication date: 2015-09-30T00:00:00Z
Mathematics Subject Classification ID: 37N05
Mathematics Subject Classification ID: 70F15
Mathematics Subject Classification ID: 70F10
zbMATH DE Number: 6487283
zbMATH Keywords: double-double orbit
zbMATH Keywords: four-body problem
zbMATH Keywords: linear stability
zbMATH Keywords: variational method
MaRDI profile type: Publication
full work available at URL: j.jmaa.2015.08.014
OpenAlex ID: W1126445505
cites work: Linear stability for some symmetric periodic simultaneous binary collision orbits in the four-body problem
cites work: Variational methods on periodic and quasi-periodic solutions for the N-body problem
cites work: Action-minimizing periodic and quasi-periodic solutions in the \(n\)-body problem
cites work: A remarkable periodic solution of the three-body problem in the case of equal masses
cites work: A family of periodic solutions of the planar three-body problem, and their stability
cites work: Linear stability analysis of the figure-eight orbit in the three-body problem
cites work: Existence of the Broucke periodic orbit and its linear stability
cites work: Existence and linear stability of the rhomboidal periodic orbit in the planar equal mass four-body problem
cites work: Q3451004
DOI: 10.1016/J.JMAA.2015.08.014
Recommended article: Linear stability for some symmetric periodic simultaneous binary collision orbits in the four-body problem
Recommended article: Linear stability analysis of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem
Recommended article: Instability for a family of homographic periodic solutions in the parallelogram four body problem
Recommended article: Existence and linear stability of the rhomboidal periodic orbit in the planar equal mass four-body problem
Recommended article: Linear stability of elliptic relative equilibria of restricted four-body problem
Recommended article: Linear stability of elliptic relative equilibria of four-body problem with two infinitesimal masses
Recommended article: Linear instability of elliptic rhombus solutions to the planar four-body problem
Recommended article: Existence of prograde double-double orbits in the equal-mass four-body problem
Recommended article: Exploring the Location and Linear Stability of the Equilibrium Points in the Equilateral Restricted Four-Body Problem
Recommended article: Stability of Equilibrium Positions in the Spatial Circular Restricted Four-Body Problem
description: scientific article; zbMATH DE number 6487283