On the central configurations of the n-body problem

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 poly...

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Bibliographic Details
Author: Llibre, Jaume|||0000-0002-9511-5999
Format: article
Publication Date:2017
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:222631
Online Access:https://ddd.uab.cat/record/222631
https://dx.doi.org/urn:doi:10.21042/AMNS.2017.2.00042
Access Level:Open access
Keyword:N-body problem
Central configuration
Description
Summary: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.