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arXiv:1505.01452 [math-ph]AbstractReferencesReviewsResources

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

Luis C. García-Naranjo, Juan C. Marrero, Ernesto Pérez-Chavela, Miguel Rodríguez-Olmos

Published 2015-05-06Version 1

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.

Comments: 27 pages, 7 figures
Categories: math-ph, math.DS, math.MP
Subjects: 70F05, 70F15, 70H14, 37J15
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