Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2

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Title:	Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2
Author:	García Naranjo Ortiz de la Huerta, Luis Constantino; Marrero, Juan Carlos; Perez Chavela, Ernesto; Rodríguez Olmos, Miguel Andrés
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
Abstract:	We classify and analyze the stability of all relative equilibria for the two-body problem in the hyperbolic space of dimension 2 and we formulate our results in terms of the intrinsic Riemannian data of the problem.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Hyperbolic spaces -Differential equations -relative equilibria -non-linear stability -two-body problem -hyperbolic space -symmetry Lie group -Equacions diferencials
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Document type:	Article - Submitted version Article
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