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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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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) • 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
Planet Occurrence Rate • Within each grid cell, calculate: • Number of candidates • “Augmented” number of candidates • Number of stars searched • Planet occurrence rate
Augmented Number of Candidates • Number of non-transiting planets with same radius and period as transiting candidates where =probability of transit
Number of Stars Searched • Number of stars for which each transiting planet has SNR > 10
Planet Occurrence Rate Planet Occurrence Rate Augmented # of Planets = # of Stars Searched
Planet Occurrence Rate • Periods <50 days • Radii: 2-32 REarth
Planet Occurrence Rate 2.8 REarth Planet Radius 2 REarth 10 Days 17 Days Period
Dependence on Radius kR= 2.9 +0.5/-0.4 α = -1.92 ± 0.11
Dependence on Period Larger planets have shorter cutoff periods and sharper transitions.
Dependence on Spectral Type f0= 0.165±0.011 kT=-0.081±0.011
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
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
Planet Density • Assume planets with densities above 4 g/cm3 are primarily composed of refractory elements
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
Mapping Kepler Radii to Masses • Black: Kepler prediction • Red: Eta-Earth measurement Decreasing density
Mapping Kepler Radii to Masses • Best models have ρ≳4g/cm3 for Rp≲3RE
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.