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

Authors :: García-Naranjo, Luis C.
Marrero, Juan C.
Pérez-Chavela, Ernesto
Rodriguez-Olmos, Miguel
Source :: Journal of Differential Equations, Vol. 260, No. 7, pp 6375-6404, 2016
Publication Year :: 2015
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.<br />Comment: 27 pages, 7 figures

Subjects :: Mathematical Physics
Mathematics - Dynamical Systems
70F05, 70F15, 70H14, 37J15

Database :: arXiv
Journal :: Journal of Differential Equations, Vol. 260, No. 7, pp 6375-6404, 2016
Publication Type :: Report
Accession number :: edsarx.1505.01452
Document Type :: Working Paper
Full Text :: https://doi.org/10.1016/j.jde.2015.12.044

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