Analytic Approximations for Transit Light Curve Observables, Uncertainties, and Covariances

Details Analytic Approximations for Transit Light Curve Observables, Uncertainties, and Covariances Analytic Approximations for Transit Light Curve Observables, Uncertainties, and Covariances

2008-05-02

arxiv.org/abs/0805.0238v2

Astronomy and Astrophysics

Astrophysics

33 pages, 14 figures

Scientific paper

10.1086/592321

The light curve of an exoplanetary transit can be used to estimate the planetary radius and other parameters of interest. Because accurate parameter estimation is a non-analytic and computationally intensive problem, it is often useful to have analytic approximations for the parameters as well as their uncertainties and covariances. Here we give such formulas, for the case of an exoplanet transiting a star with a uniform brightness distribution. We also assess the advantages of some relatively uncorrelated parameter sets for fitting actual data. When limb darkening is significant, our parameter sets are still useful, although our analytic formulas underpredict the covariances and uncertainties.

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