{
  "id": "1509.04189",
  "version": "v1",
  "published": "2015-09-14T16:39:18.000Z",
  "updated": "2015-09-14T16:39:18.000Z",
  "title": "Measuring the Number of M-Dwarfs per M-Dwarf Using Kepler Eclipsing Binaries",
  "authors": [
    "Yutong Shan",
    "John A. Johnson",
    "Timothy D. Morton"
  ],
  "comment": "17 pages, 10 figures, submitted to ApJ",
  "categories": [
    "astro-ph.SR"
  ],
  "abstract": "We measure the binarity of detached M-dwarfs in the Kepler field with orbital periods in the range of 1-90 days. Kepler's photometric precision and nearly continuous monitoring of stellar targets over time baselines ranging from 3 months to 4 years make its detection efficiency for eclipsing binaries nearly complete over this period range and for all radius ratios. Our investigation employs a statistical framework akin to that used for inferring planetary occurrence rates from planetary transits. The obvious simplification is that eclipsing binaries have a vastly improved detection efficiency that is limited chiefly by their geometric probabilities to eclipse. For the M-dwarf sample observed by the Kepler Mission, the fractional incidence of eclipsing binaries implies that there are $0.11 ^{+0.02} _{-0.04}$ close stellar companions per apparently single M-dwarf. Our measured binarity is higher than previous inferences of the occurrence rate of close binaries via radial velocity techniques, at roughly the 2$\\sigma$ level. This study represents the first use of eclipsing binary detections from a high quality transiting planet mission to infer binary statistics. Application of this statistical framework to the eclipsing binaries discovered by future transit surveys will establish better constraints on short-period M$+$M binary rate, as well as binarity measurements for stars of other spectral types.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-14T16:39:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "eclipsing binary",
      "kepler eclipsing binaries",
      "high quality transiting planet mission",
      "detection efficiency",
      "close stellar companions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}