On the spatial central configurations of the 5--body problem and their bifurcations | Zendy

Martha Alvarez | Zendy; Joaquı́n Delgado | Zendy; Jaume Llibre | Zendy

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On the spatial central configurations of the 5--body problem and their bifurcations

Author(s) -

Martha Alvarez,

Joaquı́n Delgado,

Jaume Llibre

Publication year - 2008

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 34

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2008.1.505

Subject(s) - infinitesimal , mathematics , n body problem , three body problem , geometry , mathematical analysis , classical mechanics , physics

Central configurations provide special solutions of the general $n$--body problem. Using the mutual distances between the $n$ bodies as coordinates we study the bifurcations of the spatial central configurations of the $5$--body problem going from the problem with equals masses to the $1+4$-- body problem which has one large mass and four infinitesimal equal masses. This study is made by giving a computer--aided proof.

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