{
  "id": "1612.09442",
  "version": "v1",
  "published": "2016-12-30T10:12:09.000Z",
  "updated": "2016-12-30T10:12:09.000Z",
  "title": "Padé approximant for the equation of motion of a supernova remnant",
  "authors": [
    "Lorenzo Zaninetti"
  ],
  "comment": "10 pages",
  "journal": "Journal of High Energy Physics, Gravitation and Cosmology,(2017),3, 78-86",
  "doi": "10.4236/jhepgc.2017.31011",
  "categories": [
    "astro-ph.GA"
  ],
  "abstract": "In this paper we derive three equations of motion for a supernova remnant (SNR) in the framework of the thin layer approximation using the Pad\\'e approximant. The circumstellar medium is assumed to follow a density profile of either an exponential type, a Gaussian type, or a Lane--Emden ($n=5$) type. The three equations of motion are applied to four SNRs: Tycho, Cas A, Cygnus loop, and SN~1006. The percentage error of the Pad\\'e approximated solution is always less than $10\\%$. The theoretical decrease of the velocity over ten years for SNRs is evaluated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-30T10:12:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "supernova remnant",
      "thin layer approximation",
      "pade approximant",
      "circumstellar medium",
      "pade approximated solution"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}