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On central configurations of the κn-body problem
Barrabés, Esther (Universitat de Girona)
Cors, Josep Maria (Universitat Politècnica de Catalunya)

Date: 2019
Abstract: We consider planar central configurations of the Newtonian κn-body problem consisting in κ groups of regular n-gons of equal masses, called (κ,n)-crown. We derive the equations of central configurations for a general (κ,n)-crown. When κ=2 we prove the existence of a twisted (2,n)-crown for any value of the mass ratio. Moreover, for n=3,4 and any value of the mass ratio, we give the exact number of twisted (2,n)-crowns, and describe their location. Finally, we conjecture that for any value of the mass ratio there exist exactly three (2,n)-crowns for n≥5.
Note: Número d'acord de subvenció MINECO/MTM2016-80117-P
Note: Número d'acord de subvenció MINECO/MTM2016-77278-P
Note: Número d'acord de subvenció AGAUR/2017/SGR-1374
Note: Número d'acord de subvenció AGAUR/2017/SGR-1617
Rights: Tots els drets reservats
Language: Anglès.
Document: article ; recerca ; submittedVersion
Subject: Celestial mechanics ; N-body problem ; Planar central configurations ; Twisted central configurations
Published in: Journal of mathematical analysis and applications, Vol. 476, Núm. 2 (August 2019) , p. 720-736, ISSN 1096-0813

DOI: 10.1016/j.jmaa.2019.04.010


Preprint
15 p, 488.5 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (scientific output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles

 Record created 2019-05-16, last modified 2019-06-13



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