{
  "id": "math-ph/0512032",
  "version": "v1",
  "published": "2005-12-10T07:29:25.000Z",
  "updated": "2005-12-10T07:29:25.000Z",
  "title": "Asymptotic Hamiltonian reduction for the dynamics of a particle on a surface",
  "authors": [
    "V. L. Golo",
    "D. O. Sinitsyn"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider the motion of a particle on a surface which is a small perturbation of the standard sphere. One may qualitatively describe the motion by means of a precessing great circle of the sphere. The observation is employed to derive a subsidiary Hamiltonian system that has the form of equations for the top with a 4-th order Hamiltonian, and provides the detailed asymptotic description of the particle's motion in terms of graphs on the standard sphere.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-10T07:29:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymptotic hamiltonian reduction",
      "standard sphere",
      "subsidiary hamiltonian system",
      "small perturbation",
      "precessing great circle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.ph..12032G"
    }
  }
}