{
  "id": "math/0304404",
  "version": "v1",
  "published": "2003-04-25T06:51:06.000Z",
  "updated": "2003-04-25T06:51:06.000Z",
  "title": "An existence of simple choreographies for N-body problem - a computer assisted proof",
  "authors": [
    "Tomasz Kapela",
    "Piotr Zgliczynski"
  ],
  "comment": "19 pages, 9 figures",
  "doi": "10.1088/0951-7715/16/6/302",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider a question of finding a periodic solution for the planar Newtonian N-body problem with equal masses, where each body is travelling along the same closed path. We provide a computer assisted proof for the following facts: local uniqueness and convexity of Chenciner and Montgomery Eight, an existence (and local uniqueness) for Gerver's SuperEight for 4-bodies and a doubly symmetric linear chain for 6-bodies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-04-25T06:51:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70F10",
      "37C80",
      "65G20"
    ],
    "keywords": [
      "computer assisted proof",
      "simple choreographies",
      "planar newtonian n-body problem",
      "local uniqueness",
      "doubly symmetric linear chain"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}