Analytic Lightcurves for Planetary Transit Searches

Kavli Affiliate: Kaisey Mandel

| First 5 Authors: Kaisey Mandel, Eric Agol, , ,

| Summary:

We present exact analytic formulae for the eclipse of a star described by
quadratic or nonlinear limb darkening. In the limit that the planet radius is
less than a tenth of the stellar radius, we show that the exact lightcurve can
be well approximated by assuming the region of the star blocked by the planet
has constant surface brightness. We apply these results to the HST observations
of HD 209458, showing that the ratio of the planetary to stellar radii is
0.1207+-0.0003. These formulae give a fast and accurate means of computing
lightcurves using limb-darkening coefficients from model atmospheres which
should aid in the detection, simulation, and parameter fitting of planetary

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