{
  "id": "1409.7814",
  "version": "v1",
  "published": "2014-09-27T15:03:16.000Z",
  "updated": "2014-09-27T15:03:16.000Z",
  "title": "Determination of Characteristics of Eclipsing Binaries with Spots: Phenomenological vs Physical Models",
  "authors": [
    "Mariia G. Tkachenko",
    "Ivan L. Andronov"
  ],
  "comment": "12 pages, 10 figures, conference \"RAGTime 16\", Prague, October 11-19, 2014",
  "categories": [
    "astro-ph.SR",
    "astro-ph.IM"
  ],
  "abstract": "We discuss methods for modeling eclipsing binary stars using the \"physical\", \"simplified\" and \"phenomenological\" models. There are few realizations of the \"physical\" Wilson-Devinney (1971) code and its improvements, e.g. Binary Maker, Phoebe. A parameter search using the Monte-Carlo method was realized by Zola et al. (2010), which is efficient in expense of too many evaluations of the test function. We compare existing algorithms of minimization of multi-parametric functions and propose to use a \"combined\" algorithm, depending on if the Hessian matrix is positively determined. To study methods, a simply fast-computed function resembling the \"complete\" test function for the physical model. Also we adopt a simplified model of an eclipsing binary at a circular orbit assuming spherical components with an uniform brightness distribution. This model resembles more advanced models in a sense of correlated parameter estimates due to a similar topology of the test function. Such a model may be applied to detached Algol-type systems, where the tidal distortion of components is negligible.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-27T15:03:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "eclipsing binary",
      "physical model",
      "test function",
      "determination",
      "characteristics"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.7814T"
    }
  }
}