{
  "id": "1505.01452",
  "version": "v1",
  "published": "2015-05-06T18:40:07.000Z",
  "updated": "2015-05-06T18:40:07.000Z",
  "title": "Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2",
  "authors": [
    "Luis C. García-Naranjo",
    "Juan C. Marrero",
    "Ernesto Pérez-Chavela",
    "Miguel Rodríguez-Olmos"
  ],
  "comment": "27 pages, 7 figures",
  "categories": [
    "math-ph",
    "math.DS",
    "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-06T18:40:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70F05",
      "70F15",
      "70H14",
      "37J15"
    ],
    "keywords": [
      "two-body problem",
      "hyperbolic space",
      "relative equilibria",
      "classification",
      "intrinsic riemannian data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}