Mathematics – Probability
Scientific paper
May 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011aas...21822701d&link_type=abstract
American Astronomical Society, AAS Meeting #218, #227.01; Bulletin of the American Astronomical Society, Vol. 43, 2011
Mathematics
Probability
Scientific paper
In February 2011, the Kepler team announced the discovery of 1235 planet candidates. The majority of the candidates have radii smaller than Neptune and orbital periods less than fifty days. Although these data are preliminary and some candidates may prove to be astrophysical false positives, this sample of planet candidates is large enough to probe the underlying distribution of planets as a function of planetary radius, semimajor axis, and host star spectral type. We approach this problem by considering a variety of underlying distributions and assigning planets according to those distributions to the stars listed in the Kepler Input Catalog. We simulate the likelihood of detecting a transit of each planet around its assigned host star, accounting for the geometric probability of transit, the transit duration, and the number of transits that would be observed during the first year of the Kepler mission assuming square root of N improvement with the number of transits. We require a signal to noise ratio of 7 for detection as required by the Kepler team for inclusion in the list of Kepler Objects of Interest in the February data release, and we reject any underlying distribution of planets that differs significantly from the Kepler data. CDD acknowledges support from the National Science Foundation Graduate Research Fellowship Program.
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