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Inaccurate limb-darkening models can be a significant source of error in the analysis of the light curves for transiting exoplanet and eclipsing binary star systems. To test the accuracy of published limb-darkening models, I have compared…

Earth and Planetary Astrophysics · Physics 2023-01-04 P. F. L. Maxted

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…

Astrophysics · Physics 2009-11-13 Joshua A. Carter , Jennifer C. Yee , Jason Eastman , B. Scott Gaudi , Joshua N. Winn

I introduce batman, a Python package for modeling exoplanet transit light curves. The batman package supports calculation of light curves for any radially symmetric stellar limb darkening law, using a new integration algorithm for models…

Earth and Planetary Astrophysics · Physics 2015-11-18 Laura Kreidberg

(Abridged) Context. Stellar limb darkening, I({\mu} = cos{\theta}), is an important constraint for microlensing, eclipsing binary, planetary transit, and interferometric observations, but is generally treated as a parameterized curve, such…

Solar and Stellar Astrophysics · Physics 2015-05-28 Hilding R. Neilson , John B. Lester

The power-2 law, $I_{\lambda}(\mu)=1- c (1 - \mu^{\alpha})$, accurately represents the limb-darkening profile for cool stars. It has been implemented in a few transit models to-date using numerical integration but there is as-yet no…

Earth and Planetary Astrophysics · Physics 2019-01-30 P. F. L. Maxted , S. Gill

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…

Astrophysics · Physics 2009-11-13 Joshua A. Carter , Jennifer C. Yee , Jason Eastman , B. Scott Gaudi , Joshua N. Winn

The detection of the first exoplanet paved the way into the era of transit photometry space missions with a revolutionary photometric precision that aim at discovering new exoplanetary systems around different types of stars. With this high…

Solar and Stellar Astrophysics · Physics 2022-10-12 N. M. Kostogryz , V. Witzke , A. I. Shapiro , S. K. Solanki , P. F. L. Maxted , R. L. Kurucz , L. Gizon

A transiting extrasolar planet sequentially blocks off the light coming from the different parts of the disk of the host star in a time dependent manner. Due to the spin of the star, this produces an asymmetric distortion in the line…

Astrophysics · Physics 2009-11-10 Yasuhiro Ohta , Atsushi Taruya , Yasushi Suto

This paper is part of an effort to correct the transmission spectra of a transiting planet orbiting an active star. In Paper I (Cracchiolo et al. 2020) we have demonstrated a methodology to minimize the potential bias induced by unocculted…

Earth and Planetary Astrophysics · Physics 2021-09-15 G. Cracchiolo , G. Micela , G. Morello , G. Peres

I present an homogeneous analysis of the transit light curves of 14 well-observed transiting extrasolar planets. The light curves are modelled using JKTEBOP, random errors are measured using Monte Carlo simulations, and the effects of…

Astrophysics · Physics 2009-11-13 John Southworth

Limb darkening is an important stellar phenomenon and must be accounted for in the study of stellar spectra, eclipsing binaries, transiting planetary systems, and microlensing events. The power-2 limb-darkening law provides a good match to…

Solar and Stellar Astrophysics · Physics 2022-08-31 A. Claret , J. Southworth

The properties of a transiting planet's host star are written in its transit light curve. The light curve can reveal the stellar density and the limb darkening profile in addition to the characteristics of the planet and its orbit. For…

Earth and Planetary Astrophysics · Physics 2017-11-29 Emily Sandford , David Kipping

Stellar limb darkening must be properly accounted for to accurately determine the radii of exoplanets at various wavelengths. The standard approach to address limb darkening involves either using laws with coefficients from modelled stellar…

We present the first exact analytical solutions for exoplanet transit light curves under arbitrary real power-law limb darkening, $I(\mu) = I_0\mu^\alpha$ with $\alpha > -2$, removing the two-decade restriction to integer-polynomial forms.…

Earth and Planetary Astrophysics · Physics 2025-11-20 Farrukh A. Chishtie , Mohammad I. Saeed , Shaukat N. Goderya

Stellar limb darkening is the observed variation in brightness of a star between its centre and edge (or limb) when viewed in the plane of the sky. Stellar brightness is maximal at the centre and then decreases radially and monotonically…

Instrumentation and Methods for Astrophysics · Physics 2024-08-21 David Grant , Hannah R. Wakeford

We present a Python package LDTk that automates the calculation of custom stellar limb darkening (LD) profiles and model-specific limb darkening coefficients (LDC) using the library of PHOENIX-generated specific intensity spectra by Husser…

Earth and Planetary Astrophysics · Physics 2015-08-12 Hannu Parviainen , Suzanne Aigrain

One of the biggest problems we can encounter while dealing with the limb-darkening coefficients for stellar atmospheric models with spherical symmetry is the difficulty of adjusting both the limb and the central parts simultaneously. In…

Solar and Stellar Astrophysics · Physics 2018-10-10 Antonio Claret

We derive solutions to transit light curves of exoplanets orbiting rapidly-rotating stars. These stars exhibit significant oblateness and gravity darkening, a phenomenon where the poles of the star have a higher temperature and luminosity…

Earth and Planetary Astrophysics · Physics 2022-02-16 Shashank Dholakia , Rodrigo Luger , Shishir Dholakia

We investigate the feasibility of reconstructing the radial intensity profile of extended stellar sources by inverting their microlensed light curves. Using a simple, linear, limb darkening law as an illustration, we show that the intensity…

Astrophysics · Physics 2009-10-30 M. A. Hendry , I. J. Coleman , N. Gray , A. M. Newsam , J. F. L. Simmons

Context. Limb darkening is an important tool for understanding stellar atmospheres, but most observations measuring limb darkening assume various parameterizations that yield no significant information about the structure of stellar…

Solar and Stellar Astrophysics · Physics 2015-06-05 Hilding R. Neilson , John B. Lester