{
  "id": "1907.10652",
  "version": "v1",
  "published": "2019-07-24T18:39:19.000Z",
  "updated": "2019-07-24T18:39:19.000Z",
  "title": "Electron-positron planar orbits in a constant magnetic field",
  "authors": [
    "M. A. Gonzalez Leon",
    "J. Mateos Guilarte",
    "M. de la Torre Mayado"
  ],
  "comment": "23 pages, 16 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The different types of orbits in the classical problem of two particles with equal masses and opposite charges on a plane under the influence of a constant orthogonal magnetic field are classified. The equations of the system are reduced to the problem of a Coulomb center plus a harmonic oscillator. The associated bifurcation diagram is fully explained. Using this information the dynamics of the two particles is described.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-24T18:39:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "constant magnetic field",
      "electron-positron planar orbits",
      "constant orthogonal magnetic field",
      "coulomb center plus",
      "harmonic oscillator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}