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

Ernesto P\'erez-Chavela; Juan C. Marrero; Luis C. Garc\'ia-Naranjo; Miguel Rodriguez-Olmos

arxiv: 1505.01452 · v2 · pith:5K54YB4Tnew · submitted 2015-05-06 · 🧮 math-ph · math.DS· math.MP

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

Luis C. Garc\'ia-Naranjo , Juan C. Marrero , Ernesto P\'erez-Chavela , Miguel Rodriguez-Olmos This is my paper

classification 🧮 math-ph math.DSmath.MP

keywords problemdimensionequilibriahyperbolicrelativespacestabilitytwo-body

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

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