On the Dziobek configurations of the restricted \((N+1)\)-body problem with equal masses
type: Item
instance of: scholarly article
title: On the Dziobek configurations of the restricted \((N+1)\)-body problem with equal masses
zbMATH Open document ID: 1166.70010
author: Eduardo S. G. Leandro
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2009-03-20T00:00:00Z
review text: The author studies symmetry and finiteness of special central configurations. Namely, the author investigates an extention of \((N+1)\)-body central configurations with \(N\) bodies of equal masses, called Dziobek configurations. The results show that the extended configurations are highly symmetrical, and the proof is elementary in comparison with the previous results on the topic. By means of elementary methods, the author derives upper and lower bounds on the number of possible central configurations.
reviewed by: Angela Slavova
Mathematics Subject Classification ID: 70F10
zbMATH DE Number: 5530431
zbMATH Keywords: symmetry
zbMATH Keywords: finiteness
MaRDI profile type: Publication
full work available at URL: dcdss.2008.1.589
OpenAlex ID: W2033774879
DOI: 10.3934/DCDSS.2008.1.589
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description: scientific article; zbMATH DE number 5530431