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

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.

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Bibliographic Details
Published in:Journal of Differential Equations 2016-04, Vol.260 (7), p.6375-6404
Main Authors: García-Naranjo, Luis C., Marrero, Juan C., Pérez-Chavela, Ernesto, Rodríguez-Olmos, Miguel
Format: Article
Language:English
Subjects:
Differential equations
Equacions diferencials
Hyperbolic space
Hyperbolic spaces
Matemàtiques i estadística
Non-linear stability
Relative equilibria
Symmetry Lie group
Two-body problem
Àrees temàtiques de la UPC
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Description
Summary: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.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2015.12.044