{
  "annotation_id": "77993416-e580-45ef-af1a-f9f050487be2",
  "date_created": "2026-03-02T18:00:36.429000Z",
  "date_modified": "2026-03-02T18:00:36.429000Z",
  "file_hash": "2287056a142a79c6fb0fa6828da802836c756e69086332ca9e17fd7909e6cbb4",
  "private": false,
  "record": {
    "abstract": "We discuss two applications of Riccati equation to Newton\u0027s laws of motion.\nThe first one is the motion of a particle under the influence of a power law\ncentral potential $V(r)=k r^{\\epsilon}$. For zero total energy we show that the\nequation of motion can be cast in the Riccati form. We briefly show here an\nanalogy to barotropic Friedmann-Robertson-Lemaitre cosmology where the\nexpansion of the universe can be also shown to obey a Riccati equation. A\nsecond application in classical mechanics, where again the Riccati equation\nappears naturally, are problems involving quadratic friction. We use methods\nreminiscent to nonrelativistic supersymmetry to generalize and solve such\nproblems",
    "arxiv_id": "physics/0110066",
    "authors": [
      "M. Nowakowski",
      "H. C. Rosu"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "doi": "10.1103/PhysRevE.65.047602",
    "journal_ref": "Phys.Rev. E65 (2002) 047602",
    "title": "Newton\u0027s laws of motion in form of Riccati equation",
    "url": "https://arxiv.org/abs/physics/0110066"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7aa0237c-573a-4309-82dd-0aa44c1a9a3f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}