{
  "annotation_id": "e66b0d18-8d58-4520-84e2-f000f288d584",
  "date_created": "2026-03-02T18:01:11.504000Z",
  "date_modified": "2026-03-02T18:01:11.504000Z",
  "file_hash": "d10cda940ad21f358ab418aa072961215a7f772e1daa79f694a91b1a424a1b41",
  "private": false,
  "record": {
    "abstract": "Quite a few future high precision space missions for testing Special and\nGeneral Relativity will use optical resonators which are used for laser\nfrequency stabilization. These devices are used for carrying out tests of the\nisotropy of light (Michelson-Morley experiment) and of the universality of the\ngravitational redshift. As the resonator frequency not only depends on the\nspeed of light but also on the resonator length, the quality of these\nmeasurements is very sensitive to elastic deformations of the optical resonator\nitself. As a consequence, a detailed knowledge about the deformations of the\ncavity is necessary. Therefore in this article we investigate the modeling of\noptical resonators in a space environment. Usually for simulation issues the\nFinite Element Method (FEM) is applied in order to investigate the influence of\ndisturbances on the resonator measurements. However, for a careful control of\nthe numerical quality of FEM simulations a comparison with an analytical\nsolution of a simplified resonator model is beneficial. In this article we\npresent an analytical solution for the problem of an elastic, isotropic,\nhomogeneous free-flying cylinder in space under the influence of a tidal\ngravitational force. The solution is gained by solving the linear equations of\nelasticity for special boundary conditions. The applicability of using FEM\ncodes for these simulations shall be verified through the comparison of the\nanalytical solution with the results gained within the FEM code.",
    "arxiv_id": "physics/0606250",
    "authors": [
      "S. Scheithauer",
      "C. L\u00e4mmerzahl"
    ],
    "categories": [
      "physics.class-ph",
      "gr-qc"
    ],
    "doi": "10.1088/0264-9381/23/24/006",
    "journal_ref": "Class.Quant.Grav. 23 (2006) 7273-7296",
    "title": "Analytical Solution for the Deformation of a Cylinder under Tidal   Gravitational Forces",
    "url": "https://arxiv.org/abs/physics/0606250"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "79d6bd14-f6f9-486c-b630-9021e87e18b0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}