{
  "annotation_id": "65508e00-87cf-4ca1-b072-8da4e30fa971",
  "date_created": "2026-03-02T18:01:21.786000Z",
  "date_modified": "2026-03-02T18:01:21.786000Z",
  "file_hash": "698f446c64c59b578acfe00787182b78cc7185a93a376087a94b3be00d2bd0b7",
  "private": false,
  "record": {
    "abstract": "A new algorithm for numerical integration of the rigid-body equations of\nmotion is proposed. The algorithm uses the leapfrog scheme and the quantities\ninvolved are angular velocities and orientational variables which can be\nexpressed in terms of either principal axes or quaternions. Due to specific\nfeatures of the algorithm, orthonormality and unit norms of the orientational\nvariables are integrals of motion, despite an approximate character of the\nproduced trajectories. It is shown that the method presented appears to be the\nmost efficient among all known algorithms of such a kind.",
    "arxiv_id": "physics/9901027",
    "authors": [
      "Igor P. Omelyan"
    ],
    "categories": [
      "physics.comp-ph"
    ],
    "doi": "10.1103/PhysRevE.58.1169",
    "journal_ref": "Phys. Rev. E 58 No 1 (1998) 1169-1172",
    "title": "Algorithm for numerical integration of the rigid-body equations of   motion",
    "url": "https://arxiv.org/abs/physics/9901027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8fb6f15c-0019-42e6-be24-1a0309ee72ff",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}