Central configurations of the planar coorbital satellite problem

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Title:	Central configurations of the planar coorbital satellite problem
Author:	Cors Iglesias, Josep Maria; Llibre Saló, Jaume; Ollé Torner, Mercè
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	We study the planar central conﬁgurations of the 1 + n body problem where one mass is large and the other n masses are inﬁnitesimal and equal. We ﬁnd analytically all these central conﬁgurations when 2 ≤ n ≤ 4. Numerically, ﬁrst we provide evidence that when n ≥ 9 the only central conﬁguration is the regular n–gon with the large mass in its barycenter, and second we provide also evidence of the existence of an axis of symmetry for every central conﬁguration.
Subject(s):	-Dynamics -planar coorbital satellite problem -Partícules (Física nuclear) -Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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