{
  "id": "astro-ph/9404015",
  "version": "v1",
  "published": "1994-04-07T21:55:27.000Z",
  "updated": "1994-04-07T21:55:27.000Z",
  "title": "Adiabatic Invariants in Stellar Dynamics: I. Basic concepts",
  "authors": [
    "Martin D. Weinberg"
  ],
  "comment": "uuencoded compressed PostScript, Preprint 94-1",
  "doi": "10.1086/117161",
  "categories": [
    "astro-ph"
  ],
  "abstract": "The adiabatic criterion, widely used in astronomical dynamics, is based on the harmonic oscillator. It asserts that the change in action under a slowly varying perturbation is exponentially small. Recent mathematical results precisely define the conditions for invariance show that this model does not apply in general. In particular, a slowly varying perturbation may cause significant evolution stellar dynamical systems even if its time scale is longer than any internal orbital time scale. This additional `heating' may have serious implications for the evolution of star clusters and dwarf galaxies which are subject to long-term environmental forces. The mathematical developments leading to these results are reviewed, and the conditions for applicability to and further implications for stellar systems are discussed. Companion papers present a computational method for a general time-dependent disturbance and detailed example.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1994-04-07T21:55:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stellar dynamics",
      "basic concepts",
      "adiabatic invariants",
      "significant evolution stellar dynamical systems",
      "slowly varying perturbation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 390439
    }
  }
}