New approach for modeling of transiting exoplanets for arbitrary limb-darkening law

Abstract

We present a new solution of the direct problem of planet transits based on transformation of double integrals to single ones. On the basis of our direct problem solution we created the code TAC-maker for rapid and interactive calculation of synthetic planet transits by numerical computations of the integrals. The validation of our approach was made by comparison with the results of the wide-spread Mandel & Agol (2002) method for the cases of linear, quadratic and squared root limb-darkening laws and various combinations of model parameters. For the first time our approach allows the use of arbitrary limb-darkening law of the host star. This advantage together with the practically arbitrary precision of the calculations make the code a valuable tool that faces the challenges of the continuously increasing photometric precision of the ground-based and space observations.

10 pages, 10 figures, 1 table. Accepted for publication in MNRAS

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Cited by in corpus (6)

• batman: BAsic Transit Model cAlculatioN in Python
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• Limb darkening and exoplanets: testing stellar model atmospheres and identifying biases in transit parameters
• Transit timing of TrES-2: a combined analysis of ground- and space-based photometry
• Efficient, uninformative sampling of limb-darkening coefficients for a three-parameter law
• Accurate Computation of Light Curves and the Rossiter-McLaughlin Effect in Multi-Body Eclipsing Systems