Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 2, Issue 2


Published
on

December 2, 2017


Pages

509-518


DOI

Article

On the central configurations of the n-body problem

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Authors

Jaume Llibre Affiliation:
Departament de Matematiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain


Abstract

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.


Keywords

n-body problem, central configurations, 70F15, 70F10, 37N05


Citation

Llibre, J. (2017). On the central configurations of the n-body problem. Applied Mathematics and Nonlinear Sciences, 2(2), 509–518. https://doi.org/10.21042/AMNS.2017.2.00042

Published by: Engineering Journals

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