{
  "annotation_id": "c97340af-406c-4665-a8c0-c37d768c7c34",
  "date_created": "2026-03-02T18:01:07.277000Z",
  "date_modified": "2026-03-02T18:01:07.277000Z",
  "file_hash": "7794aa3e6eb83bcf2218d2037529479ccc3749f0878863e01a011b1ab105c995",
  "private": false,
  "record": {
    "abstract": "We analyse the motion of a sphere that rolls without slipping on a conical\nsurface having its axis in the direction of the constant gravitational field of\nthe Earth. This nonholonomic system admits a solution in terms of quadratures.\nWe exhibit that the only circular of the system orbit is stable and furthermore\nshow that all its solutions can be found using an analogy with central force\nproblems. We also discuss the case of motion with no gravitational field, that\nis, of motion on a freely falling cone.",
    "arxiv_id": "physics/0602160",
    "authors": [
      "I Campos",
      "J L Fern\u00e1ndez-Chapou",
      "A L Salas-Brito",
      "C A Vargas"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "doi": "10.1088/0143-0807/27/3/011",
    "title": "Sphere rolling on the surface of a cone",
    "url": "https://arxiv.org/abs/physics/0602160"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ddda24d2-4164-4032-b199-0b2dbbb8df60",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}