{
  "annotation_id": "8005f1fa-6f17-4108-82e8-b22fae45d50a",
  "date_created": "2026-03-02T18:01:21.512000Z",
  "date_modified": "2026-03-02T18:01:21.512000Z",
  "file_hash": "ee32951d2e565577b2c4bbf0d90a04267b66f6abe18a52fe97ee9e0113438a09",
  "private": false,
  "record": {
    "abstract": "The classical two-body system with Lorentz-invariant Coulomb interaction\nV=-k/rho is solved in 3+1 dimensions using the manifestly covariant Hamiltonian\nmechanics of Stueckelberg. Particular solutions for the reduced motion are\nobtained which correspond to bound attractive, unbound attractive, and\nrepulsive scattering motion. A lack of perihelion precession is found in the\nbound attractive orbit, and the semi-classical hydrogen spectrum subsequently\ncontains no fine structure corrections. It is argued that this prediction is\nindicative of the correct classical special relativistic two-body theory for\nthe limit of no magnetic interaction.",
    "arxiv_id": "physics/9805032",
    "authors": [
      "M. A. Trump",
      "W. C. Schieve"
    ],
    "categories": [
      "physics.class-ph",
      "physics.plasm-ph"
    ],
    "title": "Perihelion Precession in the Special Relativistic Two-Body Problem",
    "url": "https://arxiv.org/abs/physics/9805032"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cc5f180f-8e8e-46fc-ab44-07561bd796b6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}