{
  "id": "2209.07457",
  "version": "v1",
  "published": "2022-09-15T17:00:21.000Z",
  "updated": "2022-09-15T17:00:21.000Z",
  "title": "Perturbation theory and canonical coordinates in celestial mechanics",
  "authors": [
    "Gabriella Pinzari"
  ],
  "comment": "48 pages",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "KAM theory owes most of its success to its initial motivation: the application to problems of celestial mechanics. The masterly application was offered by V.I.Arnold in the 60s who worked out a theorem, that he named the \"Fundamental Theorem\", especially designed for the planetary problem. This is the problem of 1+n point masses, one \"sun\" and n \"planets\", undergoing gravitational attraction. However, Arnold's Fundamental Theorem could be really used at that purpose only when, about 50 years later, the \"right\" canonical set was discovered. In these lectures I shall talk about the complex interplay between perturbation theories and canonical coordinates in problems of celestial mechanics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-15T17:00:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34C20",
      "70F10",
      "37J10",
      "37J15",
      "37J40",
      "34D10",
      "70F07",
      "70F15",
      "37J25",
      "37J35"
    ],
    "keywords": [
      "celestial mechanics",
      "perturbation theory",
      "canonical coordinates",
      "kam theory owes",
      "arnolds fundamental theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}