{
  "annotation_id": "7bb00e81-ca2e-48c7-8938-12a489831664",
  "date_created": "2026-03-02T18:01:03.542000Z",
  "date_modified": "2026-03-02T18:01:03.542000Z",
  "file_hash": "4c1ca4d1b3214a32bbab3d07e48bedf3c9e75989257ebc7f6df2a9db0e355505",
  "private": false,
  "record": {
    "abstract": "A classic problem of the motion of a point mass (projectile) thrown at an\nangle to the horizon is reviewed. The air drag force is taken into account with\nthe drag factor assumed to be constant. Analytic approach is used for\ninvestigation. Simple analytical formulas are used for the constructing the\nenvelope of the family of the point mass trajectories. The equation of envelope\nis applied for determination of maximum range of flight. The motion of a\nbaseball is presented as an example.",
    "arxiv_id": "physics/0511059",
    "authors": [
      "Peter Chudinov"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "title": "The Envelope of Projectile Trajectories in Midair",
    "url": "https://arxiv.org/abs/physics/0511059"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8cc1d227-e12b-4da8-ba3e-f3d0d37956ee",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}