Cited by 749Stellar, planetary, and galactic studiesSpace Science and Extraterrestrial LifeAstronomy and Astrophysical Research

THE OCCURRENCE RATE OF SMALL PLANETS AROUND SMALL STARS

Open access
Dressing, Courtney D., Charbonneau, David·2013·The Astrophysical Journal

Abstract

We use the optical and near-infrared photometry from the Kepler Input Catalog to provide improved estimates of the stellar characteristics of the smallest stars in the Kepler target list. We find 3897 dwarfs with temperatures below 4000 K, including 64 planet candidate host stars orbited by 95 transiting planet candidates. We refit the transit events in the Kepler light curves for these planet candidates and combine the revised planet/star radius ratios with our improved stellar radii to revise the radii of the planet candidates orbiting the cool target stars. We then compare the number of observed planet candidates to the number of stars around which such planets could have been detected in order to estimate the planet occurrence rate around cool stars. We find that the occurrence rate of 0.5–4 R ⊕ planets with orbital periods shorter than 50 days is planets per star. The occurrence rate of Earth-size (0.5–1.4 R ⊕ ) planets is constant across the temperature range of our sample at Earth-size planets per star, but the occurrence of 1.4–4 R ⊕ planets decreases significantly at cooler temperatures. Our sample includes two Earth-size planet candidates in the habitable zone, allowing us to estimate that the mean number of Earth-size planets in the habitable zone is planets per cool star. Our 95% confidence lower limit on the occurrence rate of Earth-size planets in the habitable zones of cool stars is 0.04 planets per star. With 95% confidence, the nearest transiting Earth-size planet in the habitable zone of a cool star is within 21 pc. Moreover, the nearest non-transiting planet in the habitable zone is within 5 pc with 95% confidence.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1088/0004-637x/767/1/95

Cites

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

No citation lists for this paper

No citation lists for this paper yet — checked again daily.

References 71 · Cited by 749

Research works printed but not linked: 75

  1. Anglada-Escudé, G., Arriagada, P., Vogt, S. S., et al. 2012, ApJL, 751, L16 · DOI
  2. Apps, K., Clubb, K. I., Fischer, D. A., et al. 2010, PASP, 122, 156 · DOI
  3. Barnes, J. R., Jenkins, J. S., Jones, H. R. A., et al. 2012, MNRAS, 424, 591 · DOI
  4. Batalha, N. M., Borucki, W. J., Bryson, S. T., et al. 2011, ApJ, 729, 27 · DOI · Paper page
  5. Batalha, N. M., Borucki, W. J, Koch, D. G., et al. 2010, ApJL, 713, L109 · DOI
  6. Batalha, N. M., Rowe, J. F., Bryson, S. T., et al. 2013, ApJS, 204, 24 · DOI · Paper page
  7. Berta, Z. K., Irwin, J., Charbonneau, D., Burke, C. J., & Falco, E. E. 2012, AJ, 144, 145 · DOI
  8. Bonfils, X., Delfosse, X., Udry, S., et al. 2011, A&A, submitted (arXiv:1111.5019) · arXiv
  9. Borucki, W. J., Koch, D. G., Basri, G., et al. 2011, ApJ, 736, 19 · DOI · Paper page
  10. Bowler, B. P., Liu, M. C., Shkolnik, E. L., et al. 2012, ApJ, 753, 142 · DOI
  11. Boyajian, T. S., von Braun, K., van Belle, G., et al. 2012, ApJ, 757, 112 · DOI
  12. Brown, T. M., Latham, D. W., Everett, M. E., & Esquerdo, G. A. 2011, AJ, 142, 112 · DOI
  13. Buccino, A. P., Lemarchand, G. A., & Mauas, P. J. D. 2006, Icar, 183, 491 · DOI
  14. Butler, R. P., Johnson, J. A., Marcy, G. W., et al. 2006, PASP, 118, 1685 · DOI
  15. Butler, R. P., Vogt, S. S., Marcy, G. W., et al. 2004, ApJ, 617, 580 · DOI
  16. Casagrande, L., Flynn, C., & Bessell, M. 2008, MNRAS, 389, 585 · DOI
  17. Castelli, F., & Kurucz, R. L. 2004, arXiv:astro-ph/0405087 · arXiv
  18. Catanzarite, J., & Shao, M. 2011, ApJ, 738, 151 · DOI
  19. Chabrier, G. 2003, PASP, 115, 763 · DOI · Paper page
  20. Christiansen, J. L., Jenkins, J. M., Caldwell, D. A., et al. 2012, PASP, 124, 1279 · DOI
  21. Claret, A., & Bloemen, S. 2011, A&A, 529, A75 · DOI · Paper page
  22. Cox, A. N. (ed.) 2000, Allen's Astrophysical Quantities (New York: Springer)
  23. Cumming, A., Butler, R. P., Marcy, G. W., et al. 2008, PASP, 120, 531 · DOI · Paper page
  24. Delfosse, X., Bonfils, X., Forveille, T., et al. 2012, A&A, submitted (arXiv:1202.2467) · arXiv
  25. Demarque, P., Woo, J.-H., Kim, Y.-C., & Yi, S. K. 2004, ApJS, 155, 667 · DOI
  26. Dotter, A., Chaboyer, B., Jevremović, D., et al. 2008, ApJS, 178, 89 · DOI
  27. Endl, M., Cochran, W. D., Kürster, M., Paulson, D. B., et al. 2006, ApJ, 649, 436 · DOI
  28. Endl, M., Cochran, W. D., Tull, R. G., & MacQueen, P. J. 2003, AJ, 126, 3099 · DOI
  29. Fabrycky, D. C., Ford, E. B., Steffen, J. H., et al. 2012a, ApJ, 750, 114 · DOI
  30. Fabrycky, D. C., Lissauer, J. J., Ragozzine, D., et al. 2012b, ApJ, submitted (arXiv:1202.6328) · arXiv
  31. Feiden, G. A., Chaboyer, B., & Dotter, A. 2011, ApJL, 740, L25 · DOI
  32. France, K., Froning, C. S., Linsky, J. L., et al. 2013, ApJ, 763, 149 · DOI · Paper page
  33. Fressin, F., Torres, G., Charbonneau, D., et al. 2013, arXiv:1301.0842 · arXiv
  34. Fressin, F., Torres, G., Rowe,, et al. 2012, Natur, 482, 195 · DOI · Paper page
  35. Gaidos, E., Fischer, D. A., Mann, A. W., & Lépine, S. 2012, ApJ, 746, 36 · DOI
  36. Gautier, T. N., III, Charbonneau, D., Rowe, J. F., et al. 2012, ApJ, 749, 15 · DOI
  37. Giacobbe, P., Damasso, M., Sozzetti, A., et al. 2012, MNRAS, 424, 3101 · DOI
  38. Gilliland, R. L., Chaplin, W. J., Dunham, E. W., et al. 2011, ApJS, 197, 6 · DOI
  39. Hauschildt, P. H., Allard, F., & Baron, E. 1999a, ApJ, 512, 377 · DOI
  40. Hauschildt, P. H., Allard, F., Ferguson, J., Baron, E., & Alexander, D. R. 1999b, ApJ, 525, 871 · DOI
  41. Henry, T. J., Jao, W.-C., Subasavage, J. P., et al. 2006, AJ, 132, 2360 · DOI
  42. Howard, A. W., Marcy, G. W., Bryson, S. T., et al. 2012, ApJS, 201, 15 · DOI · Paper page
  43. Ida, S., & Lin, D. N. C. 2005, ApJ, 626, 1045 · DOI
  44. Johnson, J. A., Butler, R. P., Marcy, G. W., et al. 2007, ApJ, 670, 833 · DOI
  45. Johnson, J. A., Gazak, J. Z., Apps, K., et al. 2012, AJ, 143, 111 · DOI
  46. Joshi, M. M., Haberle, R. M., & Reynolds, R. T. 1997, Icar, 129, 450 · DOI
  47. Kennedy, G. M., & Kenyon, S. J. 2008, ApJ, 673, 502 · DOI
  48. Koch, D. G., Borucki, W. J., Basri, G., et al. 2010, ApJL, 713, L79 · DOI
  49. Koppen, J., & Vergely, J.-L. 1998, MNRAS, 299, 567 · DOI
  50. Laughlin, G., Bodenheimer, P., & Adams, F. C. 2004, ApJL, 612, L73 · DOI
  51. Law, N. M., Kraus, A. L., Street, R., et al. 2012, ApJ, 757, 133 · DOI
  52. Leggett, S. K. 1992, ApJS, 82, 351 · DOI
  53. Lépine, S., Rich, R. M., & Shara, M. M. 2007, ApJ, 669, 1235 · DOI
  54. Mandel, K., & Agol, E. 2002, ApJL, 580, L171 · DOI
  55. Mann, A. W., Gaidos, E., Lépine, S., & Hilton, E. J. 2012, ApJ, 753, 90 · DOI
  56. Morton, T. D., & Johnson, J. A. 2011, ApJ, 738, 170 · DOI
  57. Mould, J. R., & Hyland, A. R. 1976, ApJ, 208, 399 · DOI
  58. Muirhead, P. S., Hamren, K., Schlawin, E., et al. 2012a, ApJL, 750, L37 · DOI
  59. Muirhead, P. S., Johnson, J. A., Apps, K., et al. 2012b, ApJ, 747, 144 · DOI
  60. Nutzman, P., & Charbonneau, D. 2008, PASP, 120, 317 · DOI
  61. Pierrehumbert, R. T. 2011, ApJL, 726, L8 · DOI
  62. Pinsonneault, M. H., An, D., Molenda-Żakowicz, J., et al. 2012, ApJS, 199, 30 Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. 2002, Numerical Recipes in C++: The Art of Scientific Computing (Cambridge: Cambridge Univ. Press) · DOI
  63. Rojas-Ayala, B., Covey, K. R., Muirhead, P. S., & Lloyd, J. P. 2012, ApJ, 748, 93 · DOI
  64. Salpeter, E. E. 1955, ApJ, 121, 161 · DOI
  65. Schlaufman, K. C., & Laughlin, G. 2011, ApJ, 738, 177 · DOI
  66. Selsis, F., Kasting, J. F., Levrard, B., et al. 2007, A&A, 476, 1373 · DOI · Paper page
  67. Steffen, J. H., Fabrycky, D. C., Agol, E., et al. 2013, MNRAS, 428, 1077 · DOI
  68. Steffen, J. H., Fabrycky, D. C., Ford, E. B., et al. 2012, MNRAS, 421, 2342 · DOI
  69. Swift, J. J., Johnson, J. A., Morton, T. D., et al. 2013, ApJ, 764, 105 · DOI
  70. Tenenbaum, P., Jenkins, J. M., Seader, S., et al. 2012, arXiv:1212.2915 · arXiv
  71. Traub, W. A. 2012, ApJ, 745, 20 · DOI
  72. von Bloh, W., Bounama, C., Cuntz, M., & Franck, S. 2007, A&A, 476, 1365 · DOI
  73. Xie, J.-W. 2012, ApJ, submitted (arXiv:1208.3312) · arXiv
  74. Youdin, A. N. 2011, ApJ, 742, 38 · DOI
  75. Zechmeister, M., Kürster, M., & Endl, M. 2009, A&A, 505, 859 · DOI

Authors
Dressing, C. D., & Charbonneau, D.
Affiliations
Harvard University (US)
Corresponding author
Dressing, Courtney D.
Venue
The Astrophysical Journal
Published
2013-03-28
Volume
767
Issue
1
Pages
95
ISSN
  • 0004-637X (ISSN-L)
  • 1538-4357
OpenAlex
W2095900443
Cited by
749
References
71
Citations by year
2026: 17 · 2025: 29 · 2024: 33 · 2023: 35 · 2022: 32 · 2021: 42 · 2020: 65 · 2019: 62 · 2018: 77 · 2017: 52 · 2016: 80 · 2015: 94 · 2014: 88 · 2013: 39 · 2012: 1
FWCI
54.35
Type
journal article
Language
en
Open access
Locations
  • The Astrophysical Journal (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Digital Access to Scholarship at Harvard (DASH) (Harvard University) (submittedVersion, cc-by)
  • arXiv (Cornell University)
Funders
  • National Science Foundation
  • National Aeronautics and Space Administration (NNX09AF08G, NAS 526555)
  • California Institute of Technology
  • Space Telescope Science Institute (NAS5- 26555, 26555)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Stellar, planetary, and galactic studies
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Space Science and Extraterrestrial Life
  • Physical Sciences › Physics and Astronomy › Instrumentation › Astronomy and Astrophysical Research
Keywords
planet occurrence rate, cool stars, M dwarfs, transiting planet candidates, Earth-sized planets, habitable zone, Kepler Input Catalog, stellar radii, Kepler light curves, near-infrared photometry, exoplanet detection

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review