Note on the Power-2 Limb Darkening Law
Donald R. Short, William F. Welsh, Jerome A. Orosz, Gur Windmiller and, P. F. L Maxted
TL;DR
This paper discusses the power-2 limb darkening law for exoplanet transit modeling, correcting an error, and proposing a parametrization to enhance numerical sampling efficiency.
Contribution
It corrects a minor error in the power-2 limb darkening law and introduces a new parametrization to improve sampling in numerical methods.
Findings
Power-2 law better matches spherical stellar atmosphere models.
Proposed parametrization enhances MCMC sampling efficiency.
Correction improves the accuracy of limb darkening modeling.
Abstract
Recently there has been a renewed interest in the power-2 limb darkening law for modeling exoplanet transits. This law provides a better match to the intensities generated by spherical stellar atmosphere models than other 2-parameter laws. To help facilitate a wider use of the power-2 law we correct a minor error and, expanding on previous work, suggest a parametrization that can improve the sampling required by some numerical methods such as MCMC.
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