{
  "annotation_id": "3e0a643f-d6a8-4a9a-a8f9-53c2a15919e7",
  "date_created": "2026-03-02T18:01:00.915000Z",
  "date_modified": "2026-03-02T18:01:00.915000Z",
  "file_hash": "269249007f7513ac76427cd4d835730c9ff5c15f5f0ca211a7adb0abaf683f66",
  "private": false,
  "record": {
    "abstract": "In textbooks of geophysical fluid dynamics, the Coriolis force and the\ncentrifugal force in a rotating fluid system are derived by making use of the\nfluid parcel concept. In contrast to this intuitive derivation to the apparent\nforces, more rigorous derivation would be useful not only for the pedagogical\npurpose, but also for the applications to other kinds of rotating geophysical\nsystems rather than the fluid. The purpose of this paper is to show a general\nprocedure to derive the transformed equations in the rotating frame of\nreference based on the local Galilean transformation and rotational coordinate\ntransformation of field quantities. The generality and usefulness of this\nEulerian approach is demonstrated in the derivation of apparent forces in\nrotating fluids as well as the transformed electromagnetic field equation in\nthe rotating system.",
    "arxiv_id": "physics/0509004",
    "authors": [
      "Akira Kageyama",
      "Mamoru Hyodo"
    ],
    "categories": [
      "physics.geo-ph"
    ],
    "doi": "10.1029/2005GC001132",
    "journal_ref": "Geochem. Geophys. Geosys., 7 (2006) Q02009",
    "title": "Eulerian Derivation of the Coriolis Force",
    "url": "https://arxiv.org/abs/physics/0509004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c9148b2a-84c9-4787-84a6-00d203e899a5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}