English

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

Mathematical Physics 2016-02-11 v2 Dynamical Systems math.MP

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.

Keywords

Cite

@article{arxiv.1505.01452,
  title  = {Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2},
  author = {Luis C. García-Naranjo and Juan C. Marrero and Ernesto Pérez-Chavela and Miguel Rodriguez-Olmos},
  journal= {arXiv preprint arXiv:1505.01452},
  year   = {2016}
}

Comments

27 pages, 7 figures