{
  "id": "2101.03639",
  "version": "v1",
  "published": "2021-01-10T23:50:30.000Z",
  "updated": "2021-01-10T23:50:30.000Z",
  "title": "An introduction to the Kepler-Heisenberg problem",
  "authors": [
    "Corey Shanbrom"
  ],
  "comment": "Expository article for SIAM Dynamical Systems Magazine, 8 pages, 6 figures",
  "categories": [
    "math.DS",
    "cs.NA",
    "math-ph",
    "math.DG",
    "math.MP",
    "math.NA"
  ],
  "abstract": "Here we provide an overview of what is known, and what is not known, about an interesting dynamical system known as the Kepler-Heisenberg problem. The main idea is to pose a version of the classical Kepler problem of planetary motion, but in a sub-Riemannian setting. The result is system which is surprisingly rich and beautiful, mysterious in some ways but tame in others, offering a substantial number of questions which seem non-trivial yet tractable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-10T23:50:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70F05",
      "37N05",
      "53C17",
      "65P10",
      "70H12"
    ],
    "keywords": [
      "kepler-heisenberg problem",
      "introduction",
      "main idea",
      "classical kepler problem",
      "planetary motion"
    ],
    "tags": [
      "expository article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}