<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We present a brief survey on some classes of central configurations of the <italic>n</italic>-body problem. We put special emphasis on the central configurations of the 1+<italic>n</italic>-body problem also called the coorbital satellite problem, and on the nested central configurations formed by either regular <italic>n</italic>-gons, or regular polyhedra. We also present some conjectures.</p></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.

On the central configurations of the <italic>n</italic>-body problem

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On the central configurations of the -body problem

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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...

On the central configurations of the n-body problem

Publié en ligne: 02 déc. 2017

Pages: 509 - 518

Reçu: 07 juin 2017

Accepté: 02 déc. 2017

DOI: https://doi.org/10.21042/AMNS.2017.2.00042

Mots clés
-body problem, central configurations

© 2017 Jaume Llibre, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fig. 1

Fig. 2

j.AMNS.2017.2.00042.tab.001.w2aab3b7c16b1b6b1ab1b1c16Aa

On the central configurations of the n-body problem

Publié en ligne: 02 déc. 2017

Pages: 509 - 518

Reçu: 07 juin 2017

Accepté: 02 déc. 2017

DOI: https://doi.org/10.21042/AMNS.2017.2.00042

Mots clés-body problem, central configurations

© 2017 Jaume Llibre, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fig. 1

Fig. 2

j.AMNS.2017.2.00042.tab.001.w2aab3b7c16b1b6b1ab1b1c16Aa

Mots clés
-body problem, central configurations