{
  "id": "1206.1757",
  "version": "v1",
  "published": "2012-06-08T13:41:23.000Z",
  "updated": "2012-06-08T13:41:23.000Z",
  "title": "Regularization of the Kepler problem on the Sphere",
  "authors": [
    "Shengda Hu",
    "Manuele Santoprete"
  ],
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "In this paper we regularize the Kepler problem on $S^3$ in several different ways. First, we perform a Moser-type regularization. Then, we adapt the Ligon-Schaaf regularization to our problem. Finally, we show that the Moser regularization and the Ligon-Schaaf map we obtained can be understood as the composition of the corresponding maps for the Kepler problem in Euclidean space and the gnomonic transformation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-08T13:41:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kepler problem",
      "gnomonic transformation",
      "moser-type regularization",
      "moser regularization",
      "ligon-schaaf map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.1757H"
    }
  }
}