{
  "annotation_id": "9c01e3aa-2c4b-43d0-9a52-ecd8e8376aa2",
  "date_created": "2026-03-02T18:00:39.609000Z",
  "date_modified": "2026-03-02T18:00:39.609000Z",
  "file_hash": "bf50d6837a72fba8bd54118a0373f87f0a4a617ffece0d488b5bab60e8c50d78",
  "private": false,
  "record": {
    "abstract": "In a previous paper (physics/0203061) \u0027\u0027Floating bodies of equilibrium I\u0027\u0027 I\nhave shown that there exist two-dimensional non-circular cross-sections of\nbodies of homogeneous densities rho not equal 1/2 which can float in any\norientation in water, which have a p-fold rotation axis. For given p they exist\nfor p-2 different densities. However, this was found only in a Taylor-expansion\nin a parameter which describes the distortion from the circular shape up to\nseventh order. Here a differential equation for the boundary curve is given and\nthe non-circular boundary curve can be expressed in terms of an elliptic\nintegral.",
    "arxiv_id": "physics/0205059",
    "authors": [
      "Franz Wegner"
    ],
    "categories": [
      "physics.class-ph",
      "physics.gen-ph"
    ],
    "title": "Floating Bodies of Equilibrium II",
    "url": "https://arxiv.org/abs/physics/0205059"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b8f17182-a10b-4aa0-bfbd-21a1b72f7f19",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}