Central configurations of the planar coorbital satellite problem
type: Item
instance of: scholarly article
title: Central configurations of the planar coorbital satellite problem
zbMATH Open document ID: 1145.70318
author: Jaume Llibre
author: Josep M. Cors
author: M. Ollé
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2005-03-01T00:00:00Z
review text: The planar Newtonian \((n+1)\)-body problem where one of the masses is large and the other n masses are infinitesimal and equal is considered. The so-called central configurations are studied. One of the reasons why central configurations are interesting (since Laplace times) is that they allow to obtain explicit homographic solutions of the \(n\)-body problem. Here, the all known central configurations for the cases \(2 \leq n \leq 4 \) are found analytically. The known central configurations for \(n=2,\dots, 9\) are checked numerically and then the investigations are continued to the values of \(n\) up to 15. A short review of the papers (since \textit{F. R. Moulton}, Ann. Math. (2) 12, 1--17 (1910; JFM 41.0794.02)]) on the subject is given. There are 41 references.
reviewed by: Sergei Georgievich Zhuravlev
Mathematics Subject Classification ID: 70F15
Mathematics Subject Classification ID: 70F10
zbMATH DE Number: 2140058
zbMATH Keywords: celestial mechanics
zbMATH Keywords: planar co-orbital satellite problem
zbMATH Keywords: central configurations
zbMATH Keywords: \((n+1)\)-body problem
MaRDI profile type: Publication
full work available at URL: b:cele.0000043569.25307.ab
OpenAlex ID: W2086840144
DOI: 10.1023/B:CELE.0000043569.25307.AB
description: scientific article; zbMATH DE number 2140058