{
  "annotation_id": "a4ff3b63-0c22-4441-85fc-e330e42a7e4c",
  "date_created": "2026-03-02T18:00:35.991000Z",
  "date_modified": "2026-03-02T18:00:35.991000Z",
  "file_hash": "8705b0f904ab36e7e4329213b7679d1b852e878bfaff21533b2952d8187bdc4c",
  "private": false,
  "record": {
    "abstract": "The regular-geometric-figure solution to the $N$-body problem is presented in\na very simple way. The Newtonian formalism is used without resorting to a more\ninvolved rotating coordinate system. Those configurations occur for other kinds\nof interactions beyond the gravitational ones for some special values of the\nparameters of the forces. For the harmonic oscillator, in particular, it is\nshown that the $N$-body problem is reduced to $N$ one-body problems.",
    "arxiv_id": "physics/0107004",
    "authors": [
      "Antonio S. de Castro",
      "Cristiane A Vilela"
    ],
    "categories": [
      "physics.class-ph",
      "physics.gen-ph"
    ],
    "doi": "10.1088/0143-0807/22/5/304",
    "title": "On the regular-geometric-figure solution to the N-body problem",
    "url": "https://arxiv.org/abs/physics/0107004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ac7d6832-eb8f-4e82-9e0e-3606f1762133",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}