Beyond Natural Sciences
Applied Mathematics and Nonlinear Sciences

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Available online: December 02, 2017

On the central configurations of the $n$-body problem

Jaume Llibre
Volume 2 - Issue 2.     Year 2017.     Pages 509–518.

DOI: 10.21042/AMNS.2017.2.00042


We present a brief survey on some classes of central configurations of the $n$--body problem. We put special emphasis on the central configurations of the $1+n$-body problem also called the coorbital satellite problem, and on the nested central configurations formed by either regular $n$-gons, or regular polyhedra. We also present
some conjectures.

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Applied Mathematics, Nonlinear Sciences


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