{
  "annotation_id": "1085015c-88be-4f08-b901-91e213351bbc",
  "date_created": "2026-03-02T18:01:24.836000Z",
  "date_modified": "2026-03-02T18:01:24.836000Z",
  "file_hash": "953ed31ba653a14762a827c5b47335e3aa22bf3c37efafe388a3c077c6d44ea1",
  "private": false,
  "record": {
    "abstract": "The internal space for a molecule, atom, or other n-body system can be\nconveniently parameterised by 3n-9 kinematic angles and three kinematic\ninvariants. For a fixed set of kinematic invariants, the kinematic angles\nparameterise a subspace, called a kinematic orbit, of the n-body internal\nspace. Building on an earlier analysis of the three- and four-body problems, we\nderive the form of these kinematic orbits (that is, their topology) for the\ngeneral n-body problem. The case n=5 is studied in detail, along with the\npreviously studied cases n=3,4.",
    "arxiv_id": "physics/9910001",
    "authors": [
      "Kevin A. Mitchell",
      "Robert G. Littlejohn"
    ],
    "categories": [
      "physics.chem-ph",
      "physics.atom-ph"
    ],
    "doi": "10.1088/0305-4470/33/7/309",
    "title": "Kinematic Orbits and the Structure of the Internal Space for Systems of   Five or More Bodies",
    "url": "https://arxiv.org/abs/physics/9910001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3dbbc25d-5c26-45f4-81c0-c56a52cb3d13",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}