A family of stacked central configurations in the planar five-body problem
Cornelio, J. Lino (Universidad Juárez Autónoma de Tabasco (Mèxic). División Académica de Ciencias Básicas)
Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana-Iztapalapa (Mèxic). Departamento de Matemáticas)
Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques)

Additional title:	A special family of stacked central configurations: lagrange plus euler in one
Date:	2017
Abstract:	We study planar central configurations of the five-body problem where three bodies, m1,m2 and m3, are collinear and ordered from left to right, while the other two, m4 and m5, are placed symmetrically with respect to the line containing the three collinear bodies. We prove that when the collinear bodies form an Euler central configuration of the three-body problem with m1=m3, there exists a new family, missed by Gidea and Llibre (Celest Mech Dyn Astron 106:89-107, 2010), of stacked five-body central configuration where the segments m4m5 and m1m3 do not intersect.
Grants:	Ministerio de Economía y Competitividad MTM2013-40998-P Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Planar 5-body problem ; Central configuration ; Stacked central configuration
Published in:	Celestial Mechanics and Dynamical Astronomy, Vol. 129, Issue 3 (November 2017) , p. 321-328, ISSN 1572-9478

DOI: 10.1007/s10569-017-9782-8

Postprint 10 p, 419.0 KB

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