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A special family of stacked central configurations : lagrange plus euler in one
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)

Date: 2019
Abstract: We show the existence of a family of stacked central configurations in the planar five-body problem with a special property. Three bodies m1 , m2 and m3 , ordered from left to right, are collinear and form an Euler central configuration, and the other two bodies m4 and m5 , together with m2 are at the vertices of an equilateral triangle and form a Lagrange central configuration.
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: Journal of dynamics and differential equations, Vol. 31, Issue 2 (June 2019) , p. 711-718, ISSN 1572-9222

DOI: 10.1007/s10884-018-9647-1


Postprint
10 p, 418.4 KB

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

 Record created 2020-04-15, last modified 2022-04-27



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