The Co-circular Central Configurations of the 5-Body Problem

Jaume Llibre; Claudia Valls

doi:10.1007/s10884-015-9429-y

The Co-circular Central Configurations of the 5-Body Problem

Jaume Llibre, Claudia Valls

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)

Abstract

© 2015, Springer Science+Business Media New York. Chenciner in 2001 asked: Is the regular n-gon with equal masses the unique central configuration such that all the bodies lie on a circle, and the center of mass coincides with the center of the circle? This question has a positive answer for n=3. Hampton in 2003 proved that also this question has a positive answer for n=4. Here we provide a positive answer for n=5.

Original language	English
Pages (from-to)	55-67
Journal	Journal of Dynamics and Differential Equations
Volume	27
Issue number	1
DOIs	https://doi.org/10.1007/s10884-015-9429-y
Publication status	Published - 1 Jan 2015

Keywords

5-body problem
Central configuration
Co-circular central configuration
Regular n-gon

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