{
  "id": "0811.0227",
  "version": "v3",
  "published": "2008-11-03T06:25:04.000Z",
  "updated": "2010-02-09T05:37:40.000Z",
  "title": "Periodic Solutions with Singularities in Two Dimensions in the $n$-body Problem",
  "authors": [
    "Tiancheng Ouyang",
    "Skyler C. Simmons",
    "Duokui Yan"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "Analytical methods are used to prove the existence of a periodic, symmetric solution with singularities in the planar 4-body problem. A numerical calculation and simulation are used to generate the orbit. The analytical method easily extends to any even number of bodies. Multiple simultaneous binary collisions are a key feature of the orbits generated.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-02-09T05:37:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70F10"
    ],
    "keywords": [
      "body problem",
      "periodic solutions",
      "singularities",
      "dimensions",
      "multiple simultaneous binary collisions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.0227O"
    }
  }
}