Stationary configurations for co-orbital satellites with small arbitrary masses
type: Item
instance of: scholarly article
title: Stationary configurations for co-orbital satellites with small arbitrary masses
zbMATH Open document ID: 1160.70326
DOI: 10.1023/B:CELE.0000023420.80881.67
author: Stéfan Renner
author: Bruno Sicardy
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2005-03-01T00:00:00Z
review text: The plane \((N+1)\)-body problem (\(N\) co-orbital satellites orbiting a much more massive central planet) is considered. Some planar stationary configurations (called some times as relative equilibria) are studied. The existence of the stationary configurations depends on the parity the numbers \(N\) (odd or even). It is shown that for the \(N\) odd and for a given angular configuration there is always a set of satellite masses which achieve stationary. For \(N\) even, on the contrary, there is in general no combinations of masses which ensure stationary for a given angular configurations.
reviewed by: Sergei Georgievich Zhuravlev
Mathematics Subject Classification ID: 70F10
zbMATH DE Number: 2140042
zbMATH Keywords: celestial mechanics
zbMATH Keywords: \(n\)-body problem
zbMATH Keywords: central configurations
zbMATH Keywords: co-orbital satellites
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2140042