{
  "id": "2406.19210",
  "version": "v1",
  "published": "2024-06-27T14:33:57.000Z",
  "updated": "2024-06-27T14:33:57.000Z",
  "title": "The Maclaurin spheroid in disguise. New figures of equilibrium with external magnetic support",
  "authors": [
    "Jean-Marc Huré",
    "Clément Staelen"
  ],
  "comment": "Accepted for publication in Phys. Rev. D (8 pages, 6 figures)",
  "categories": [
    "astro-ph.GA"
  ],
  "abstract": "We show that a rigidly rotating, homogeneous ellipsoid of revolution threaded by a uniform, coaxial magnetic field is a possible figure of equilibrium. While the spheroidal shape is fully preserved, the rotation rate is modified. Accordingly, we extend the fundamental formula by Maclaurin. In contrast with the non-magnetic case, prolate shapes are permitted, but there are critical states in the form of maximum elongations, depending on ionisation fraction, ion/electron drift, magnetic field and mass-density. As checked from numerical simulations based on the Self-Consistent-Field method, prolate states survive to gas compressibility. The relevance to interstellar clouds is outlined.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-27T14:33:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "external magnetic support",
      "maclaurin spheroid",
      "equilibrium",
      "coaxial magnetic field",
      "interstellar clouds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}