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Courtney Dressing Advisor: David Charbonneau All Souls College, Oxford July 4, 2011

Howard et al. 2011: Planet Occurrence within 0.25 AU of Solar-Type Stars from Kepler. Courtney Dressing Advisor: David Charbonneau All Souls College, Oxford July 4, 2011. Kepler February Data Release. Number of target stars: 156,453 (58,041) Number of candidates: 1,235 (438)

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Courtney Dressing Advisor: David Charbonneau All Souls College, Oxford July 4, 2011

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  1. Howard et al. 2011: Planet Occurrence within 0.25 AU of Solar-Type Stars from Kepler Courtney Dressing Advisor: David Charbonneau All Souls College, Oxford July 4, 2011

  2. Kepler February Data Release • Number of target stars: 156,453 (58,041) • Number of candidates: 1,235 (438) • Orbiting 997 (375) stars Solar Subset: Teff = 4100-6100 K log g = 4.0-4.9 Kepmag < 15 Bright Dwarf Sample: Teff = 3600-7100 K

  3. Planet Candidates

  4. Planet Occurrence Rate • Within each grid cell, calculate: • Number of candidates • “Augmented” number of candidates • Number of stars searched • Planet occurrence rate

  5. Augmented Number of Candidates • Number of non-transiting planets with same radius and period as transiting candidates where =probability of transit

  6. Number of Stars Searched • Number of stars for which each transiting planet has SNR > 10

  7. Planet Occurrence Rate Planet Occurrence Rate Augmented # of Planets = # of Stars Searched

  8. Planet Occurrence Rate • Periods <50 days • Radii: 2-32 REarth

  9. Planet Occurrence Rate 2.8 REarth Planet Radius 2 REarth 10 Days 17 Days Period

  10. Dependence on Radius kR= 2.9 +0.5/-0.4 α = -1.92 ± 0.11

  11. Dependence on Period

  12. Dependence on Period Larger planets have shorter cutoff periods and sharper transitions.

  13. Dependence on Spectral Type

  14. Dependence on Spectral Type f0= 0.165±0.011 kT=-0.081±0.011

  15. Possible Explanations for the Trend in Occurrence Rate of Small Planets with Teff • Random errors? • Trend preserved for Teff = 4100-6100 K • Trend preserved after Monte Carlo applying gaussian random deviates to Teff and log g • Systematic stellar radius bias? • Would require log g error of 1.6 dex • Errors in KIC are ~0.25 dex • Systematic metallicity bias? • Errors on [Fe/H] in KIC are ≳0.2 dex (rms) • Cannot be ruled out

  16. Planet Density • More massive planets have more H/He gas • Change at 4.5 ME? Models from Fortney et al. 2007 Solar system Kepler Other surveys

  17. Planet Density • Assume planets with densities above 4 g/cm3 are primarily composed of refractory elements

  18. Mapping Kepler Radii to Masses • Toy density models • Constant density • Piece-wise constant density • Compared to Eta-Earth Survey • Volume-limited survey of 166 GK dwarfs • 35 planets detected around 24 stars • Keck-HIRES • See Howard et al. 2010

  19. Mapping Kepler Radii to Masses • Black: Kepler prediction • Red: Eta-Earth measurement Decreasing density

  20. Mapping Kepler Radii to Masses • Best models have ρ≳4g/cm3 for Rp≲3RE

  21. Summary • Planet occurrence increases with decreasing radius and increasing orbital period • Smaller planets (2-4 RE) are more common around cooler stars (metallicity effect?) • Larger planets have steeper cutoffs at shorter periods than smaller planets • There is a ridge of high planet occurrence from 3 days and 2 RE to 50 days and 4 RE.

  22. Questions?

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