{
  "id": "2204.08812",
  "version": "v1",
  "published": "2022-04-19T11:26:56.000Z",
  "updated": "2022-04-19T11:26:56.000Z",
  "title": "The number of relative equilibria in the PCR4PB",
  "authors": [
    "Jordi-Lluís Figueras",
    "Warwick Tucker",
    "Piotr Zgliczynski"
  ],
  "comment": "-",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The aim of this paper is to present a new, analytical, method for computing the exact number of relative equilibria in the planar, circular, restricted 4-body problem of celestial mechanics. The new approach allows for a very efficient computer-aided proof, and opens a potential pathway to proving harder instances of the n-body problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-19T11:26:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "relative equilibria",
      "proving harder instances",
      "potential pathway",
      "efficient computer-aided proof",
      "exact number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}