Classification of four-body central configurations with three equal masses
type: Item
instance of: scholarly article
title: Classification of four-body central configurations with three equal masses
zbMATH Open document ID: 1301.70008
author: Junping Shi
author: Zhifu Xie
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-12-22T00:00:00Z
full work available at URL: https://scholarworks.wm.edu/cgi/viewcontent.cgi
Mathematics Subject Classification ID: 70F10
Mathematics Subject Classification ID: 70F15
zbMATH DE Number: 5651208
zbMATH Keywords: central configuration
zbMATH Keywords: \(N\)-body problem
zbMATH Keywords: convex and concave central configuration
zbMATH Keywords: bifurcation
zbMATH Keywords: implicit function theorem
MaRDI profile type: Publication
OpenAlex ID: W2063338513
cites work: Q4853150
cites work: Q4718286
cites work: Symmetry of planar four-body convex central configurations
cites work: Q3621476
cites work: The central configurations of four masses \(x, - x, y, - y\)
cites work: Finiteness of relative equilibria of the four-body problem
cites work: Finiteness and bifurcations of some symmetrical classes of central configurations
cites work: On the central configurations of the planar restricted four-body problem
cites work: Four-body central configurations with some equal masses
cites work: Admissible Shapes of 4-Body Non-collinear Relative Equilibria
cites work: Bifurcations of relative equilibria in the 4- and 5-body problem
cites work: On central configurations
cites work: Collinear central configuration in four-body problem
cites work: Regularization of simultaneous binary collisions and solutions with singularity in the collinear four-body problem
cites work: Measure of degenerate relative equilibria. I
cites work: Convex four-body central configurations with some equal masses
cites work: Topology and mechanics. II: The planar \(n\)-body problem
cites work: Collinear central configurations in the n-body problem with general homogeneous potential
cites work: Convex central configurations for the \(n\)-body problem
cites work: Inverse problem of central configurations and singular curve in the collinear 4-body problem
DOI: 10.1016/J.JMAA.2009.09.040
description: scientific article; zbMATH DE number 5651208