{
  "id": "1307.1606",
  "version": "v3",
  "published": "2013-07-05T13:18:11.000Z",
  "updated": "2014-01-01T09:42:01.000Z",
  "title": "Symmetric Reduction and Hamilton-Jacobi Equation of Rigid Spacecraft with a Rotor",
  "authors": [
    "Hong Wang"
  ],
  "comment": "21 pages. Revised some printed wrongs in section 4. arXiv admin note: substantial text overlap with arXiv:1305.3457, arXiv:1303.5840, arXiv:1202.3564",
  "journal": "J. Geom. Symm. Phys., 32 (2013), 87-111",
  "categories": [
    "math.DS",
    "math.SG"
  ],
  "abstract": "In this paper, we consider the rigid spacecraft with an internal rotor as a regular point reducible regular controlled Hamiltonian (RCH) system. In the cases of coincident and non-coincident centers of buoyancy and gravity, we give explicitly the motion equation and Hamilton-Jacobi equation of reduced spacecraft-rotor system on a symplectic leaf by calculation in detail, respectively, which show the effect on controls in regular symplectic reduction and Hamilton-Jacobi theory.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-01-01T09:42:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70H33",
      "70H20",
      "70Q05"
    ],
    "keywords": [
      "hamilton-jacobi equation",
      "rigid spacecraft",
      "symmetric reduction",
      "regular point reducible regular",
      "point reducible regular controlled hamiltonian"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.1606W"
    }
  }
}