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

Martha Álvarez-Ramírez, Motserrat Corbera, Jaume Llibre

Research output: Chapter in BookChapterResearchpeer-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 languageEnglish
Title of host publicationTrends in Mathematics
Pages9-15
Number of pages6
Volume4
ISBN (Electronic)2297-024X
DOIs
Publication statusPublished - 1 Jan 2015

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