{
  "id": "1510.06822",
  "version": "v1",
  "published": "2015-10-23T04:31:49.000Z",
  "updated": "2015-10-23T04:31:49.000Z",
  "title": "Maslov-type indices and linear stability of elliptic Euler solutions of the three-body problem",
  "authors": [
    "Qinglong Zhou",
    "Yiming Long"
  ],
  "comment": "37 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1206.6162; text overlap with arXiv:1308.4745 by other authors",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP",
    "math.SG"
  ],
  "abstract": "In this paper, we use the central configuration coordinate decomposition to study the linearized Hamiltonian system near the elliptic Euler solutions. Then using the Maslov-type \\omega-index theory of symplectic paths and the theory of linear operators we compute the \\omega-indices and obtain certain properties of linear stability of the Euler elliptic solutions of the classical three-body problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-23T04:31:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58E05",
      "37J45",
      "34C25"
    ],
    "keywords": [
      "elliptic euler solutions",
      "linear stability",
      "maslov-type indices",
      "central configuration coordinate decomposition",
      "euler elliptic solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151006822Z"
    }
  }
}