Bayesian priors for the eccentricity of transiting planets

  title={Bayesian priors for the eccentricity of transiting planets},
  author={David M. Kipping},
  journal={Monthly Notices of the Royal Astronomical Society},
  • D. Kipping
  • Published 6 August 2014
  • Geology, Physics
  • Monthly Notices of the Royal Astronomical Society
Planets on eccentric orbits have a higher geometric probability of transiting their host star. By application of Bayes' theorem, we reverse this logic to show that the eccentricity distribution of transiting planets is positively biased. Adopting the flexible Beta distribution as the underlying prior for eccentricity, we derive the marginalized transit probability as well as the a-priori joint probability distribution of eccentricity and argument of periastron, given that a planet is known to… 

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