General configurations of the symmetric restricted 4-body problem
type: Item
instance of: scholarly article
title: General configurations of the symmetric restricted 4-body problem
zbMATH Open document ID: 1106.70325
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2005-02-23T00:00:00Z
review text: The authors consider a symmetric four-body problem where the primaries \(m_1\), \(m_2\) and \(m_3\) are situated at the vertices of an equilateral triangle (the masses are \(m_1=m_2=1\), \(m_3=\mu\)), and the fourth infinitesimal mass \(m_4 = \varepsilon\) is situated on an axis of symmetry of the triangle. The authors examine the number of central configurations in the restricted case \(\varepsilon = 0\) when the primaries remain in the equilateral triangle configuration and the mass \(m_4=\mu\) is taken as bifurcation parameter. It is found that the number of central configurations varies from 1 to 4.
reviewed by: Sergei Georgievich Zhuravlev
Mathematics Subject Classification ID: 70F10
zbMATH DE Number: 2138064
zbMATH Keywords: central configurations
zbMATH Keywords: bifurcation parameter
author: Martha Alvarez-Ramírez
author: Joaquin Delgado
MaRDI profile type: Publication
full work available at URL: b:cele.0000006766.98587.d1
OpenAlex ID: W2000896643
DOI: 10.1023/B:CELE.0000006766.98587.D1
description: scientific article; zbMATH DE number 2138064