{
  "id": "gr-qc/0702054",
  "version": "v2",
  "published": "2007-02-09T01:33:24.000Z",
  "updated": "2007-05-31T11:13:35.000Z",
  "title": "Adiabatic Evolution of three 'Constants' of Motion for Greatly Inclined Orbits in Kerr spacetime",
  "authors": [
    "Katsuhiko Ganz",
    "Wataru Hikida",
    "Hiroyuki Nakano",
    "Norichika Sago",
    "Takahiro Tanaka"
  ],
  "comment": "26pages, to be published in Progress of Theoretical Physics",
  "journal": "Prog.Theor.Phys.117:1041-1066,2007",
  "doi": "10.1143/PTP.117.1041",
  "categories": [
    "gr-qc"
  ],
  "abstract": "General orbits of a particle of small mass $\\mu$ around a Kerr black hole of mass $M$ are characterized by three parameters: the energy, the angular momentum and the Carter constant. The time-averaged rates of change of the energy and the angular momentum can be obtained by computing the corresponding fluxes of gravitational waves emitted by the particle. By contrast, the time-averaged rate of change of the Carter constant cannot be expressed as a flux of gravitational waves. Recently a method to compute this rate of change was proposed by Mino, and we refined it into a simplified form. In this paper we further extend our previous work to give a new formulation without the aid of expansion in terms of a small inclination angle.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-05-31T11:13:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "04.50.+h",
      "98.80.Cq"
    ],
    "keywords": [
      "greatly inclined orbits",
      "kerr spacetime",
      "adiabatic evolution",
      "carter constant",
      "angular momentum"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Progress of Theoretical Physics",
      "year": 2007,
      "month": "Jun",
      "volume": 117,
      "number": 6,
      "pages": 1041
    },
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 744250,
      "adsabs": "2007PThPh.117.1041G"
    }
  }
}