{
  "id": "1609.07620",
  "version": "v1",
  "published": "2016-09-24T13:37:53.000Z",
  "updated": "2016-09-24T13:37:53.000Z",
  "title": "Galaxies with Supermassive Binary Black Holes: (III) The Roche Lobes and Jiang-Yeh Lobe in a Core System",
  "authors": [
    "Li-Chin Yeh",
    "Ing-Guey Jiang"
  ],
  "comment": "accepted for publication in Astrophysics and Space Science",
  "categories": [
    "astro-ph.GA"
  ],
  "abstract": "Three-dimensional equi-potential surfaces of a galactic system with supermassive binary black holes are discussed herein. The conditions of topological transitions for the important surfaces, i.e. Roche Lobes and Jiang-Yeh Lobe, are studied in this paper. In addition, the mathematical properties of the Jacobi surfaces are investigated analytically. Finally, a numerical procedure for determining the regions of the Roche Lobes and Jiang-Yeh Lobe is suggested.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-24T13:37:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "supermassive binary black holes",
      "roche lobes",
      "jiang-yeh lobe",
      "core system",
      "three-dimensional equi-potential surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}