{
  "annotation_id": "2eb4ad16-bb2f-4739-b950-a7c26d75e76b",
  "date_created": "2026-03-02T18:01:03.549000Z",
  "date_modified": "2026-03-02T18:01:03.549000Z",
  "file_hash": "cb65db1a7f642f29e1c1f316179905a89e99669ec0bd93433ca4d49bb249964f",
  "private": false,
  "record": {
    "abstract": "The Lagrangian, the Hamiltonian and the constant of motion of the\ngravitational attraction of two bodies when one of them has variable mass is\nconsidered. The relative and center of mass coordinates are not separated, and\nchoosing the reference system in the body with much higher mass, it is possible\nto reduce the system of equations to 1-D problem. Then, a constant of motion,\nthe Lagrangian, and the Hamiltonian are obtained. The trajectories found in the\nspace position-velocity,($x,v$), are qualitatively different from those on the\nspace position-momentum,($x,p$).",
    "arxiv_id": "physics/0511086",
    "authors": [
      "Gustavo Lopez"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "title": "Constant of motion, Lagrangian and Hamiltonian of the gravitational   attraction of two bodies with variable mass",
    "url": "https://arxiv.org/abs/physics/0511086"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d0e3a24f-765c-4fe9-b56d-8200accb6bf5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}