{
  "id": "1509.04999",
  "version": "v1",
  "published": "2015-09-16T19:05:34.000Z",
  "updated": "2015-09-16T19:05:34.000Z",
  "title": "Simple choreography solutions of the Newtonian N-body Problem",
  "authors": [
    "Guowei Yu"
  ],
  "comment": "36pages, 7 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "In $N$-body problem, a simple choreography solution is a periodic solution in which all the masses chase each other on a single loop. In this paper we prove that for the Newtonian $N$-body problem, $N \\ge 3$, there are at least $2^{N-2}$ different main simple choreography solutions. As a result this confirms a conjecture given by Chenciner and etc.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-16T19:05:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70F07",
      "37N05"
    ],
    "keywords": [
      "newtonian n-body problem",
      "main simple choreography solutions",
      "periodic solution",
      "masses chase",
      "single loop"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}