Bifurcations of the Spatial Central Configurations in the 5-Body Problem

Martha Álvarez-Ramírez; Motserrat Corbera; Jaume Llibre

doi:https://doi.org/10.1007/978-3-319-22129-8-2

Bifurcations of the Spatial Central Configurations in the 5-Body Problem

Martha Álvarez-Ramírez, Motserrat Corbera, Jaume Llibre

Department of Mathematics

Research output: Chapter in Book › Chapter › Research › peer-review

Abstract

© 2015 Springer International Publishing Switzerland. A configuration of n particles is called central when the acceleration vector of each particle is a common scalar multiple of its position vector. One of the reasons why central configurations are interesting is that they allow us to obtain explicit homographic solutions of the n-body problem, that is, motions where the configuration of the system changes size but keeps its shape. Also, they are important in the study of total collisions.

Original language	English
Title of host publication	Trends in Mathematics
Pages	9-15
Number of pages	6
Volume	4
ISBN (Electronic)	2297-024X
DOIs	https://doi.org/10.1007/978-3-319-22129-8-2
Publication status	Published - 1 Jan 2015

Access to Document

https://doi.org/10.1007/978-3-319-22129-8-2

https://ddd.uab.cat/record/222103

Cite this

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