{
  "id": "math/0201278",
  "version": "v2",
  "published": "2002-01-29T11:18:01.000Z",
  "updated": "2002-04-17T16:06:48.000Z",
  "title": "Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - A Computer Assisted Proof",
  "authors": [
    "D. Wilczak",
    "P. Zgliczynski"
  ],
  "comment": "40 pages, 11 figures",
  "doi": "10.1007/s00220-002-0709-0",
  "categories": [
    "math.DS",
    "math.NA"
  ],
  "abstract": "The restricted circular three-body problem is considered for the following parameter values $C=3.03$, $\\mu=0.0009537$ - the values for {\\em Oterma} comet in the Sun-Jupiter system. We present a computer assisted proof of an existence of homo- and heteroclinic cycle between two Lyapunov orbits and an existence of symbolic dynamics on four symbols built on this cycle.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-04-17T16:06:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65P20",
      "65P10"
    ],
    "keywords": [
      "computer assisted proof",
      "planar restricted circular",
      "heteroclinic connections",
      "periodic orbits",
      "restricted circular three-body problem"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2003,
      "volume": 234,
      "number": 1,
      "pages": 37
    },
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003CMaPh.234...37W"
    }
  }
}