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Related papers: On stellar limb darkening and exoplanetary transit…

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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

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, particularly for high-precision light curves at optical wavelengths. The…

Solar and Stellar Astrophysics · Physics 2018-08-15 P. F. L. Maxted

Limb darkening laws are convenient parameterizations of the stellar intensity center-to-limb variation, and their use is ubiquitous in eclipse and transit modeling. But they are not "laws" in any sense -- they are simple approximations of…

Solar and Stellar Astrophysics · Physics 2020-11-04 Donald R. Short , Jerome A. Orosz , Gur Windmiller , William F. Welsh

We propose a new method for investigating atmospheric inhomogeneities in exoplanets through transmission spectroscopy. Our approach links chromatic variations in conventional transit model parameters (central transit time, total and full…

Earth and Planetary Astrophysics · Physics 2025-04-11 Shotaro Tada , Hajime Kawahara , Yui Kawashima , Takayuki Kotani , Kento Masuda

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

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…

Astrophysics · Physics 2009-11-07 Kaisey Mandel , Eric Agol

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

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.…

Solar and Stellar Astrophysics · Physics 2019-09-04 Donald R. Short , William F. Welsh , Jerome A. Orosz , Gur Windmiller , P. F. L Maxted

We derive analytic, closed-form solutions for the light curve of a planet transiting a star with a limb darkening profile which is a polynomial function of the stellar elevation, up to arbitrary integer order. We provide improved analytic…

Earth and Planetary Astrophysics · Physics 2020-03-04 Eric Agol , Rodrigo Luger , Daniel Foreman-Mackey

We present a solution for the light curve of two bodies mutually transiting a star with polynomial limb darkening. The term "mutual transit" in this work refers to a transit of the star during which overlap occurs between the two transiting…

Earth and Planetary Astrophysics · Physics 2022-08-31 Tyler A. Gordon , Eric Agol

Accurate limb-darkening models are needed for accurate characterisation of eclipsing binary stars and transiting exoplanets from the analysis of their light curves. The limb-darkening observed in solar-type stars from the analysis of light…

Solar and Stellar Astrophysics · Physics 2025-02-14 Jay Fitzpatrick , Pierre F. L. Maxted , Alix V. Freckelton , Amuary H. M. J. Triaud , David V. Martin , Alison Duck

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

We compare limb darkening laws derived from 3D hydrodynamical model atmospheres and 1D hydrostatic MARCS models for the host stars of the two transiting exoplanet systems HD 209458 and HD 189733. The surface brightness distribution of the…

Solar and Stellar Astrophysics · Physics 2017-08-30 W. Hayek , D. Sing , F. Pont , M. Asplund

In this paper we describe an algorithm and deduce the related mathematical formulae that allows the computation of observed fluxes in stellar and planetary systems with arbitrary number of bodies being part of a transit or occultation…

Earth and Planetary Astrophysics · Physics 2015-06-03 András Pál

The depth of an exoplanetary transit in the light curve of a distant star is commonly approximated as the squared planet-to-star radius ratio, (R_p/R_s)^2. Stellar limb darkening, however, results in significantly deeper transits. Here we…

Earth and Planetary Astrophysics · Physics 2019-03-22 René Heller

Multicolor photometric observations of a planetary transit in the system HD 209458 are analyzed. The observations, made in the Stromgren photometric system, allowed a recalculation of the basic physical properties of the star-planet system.…

Astrophysics · Physics 2009-10-31 H. J. Deeg , R. Garrido , A. Claret

We present extensive calculations of linear and non-linear limb-darkening coefficients as well as complete intensity profiles appropriate for modeling the light-curves of eclipsing white dwarfs. We compute limb-darkening coefficients in the…

Solar and Stellar Astrophysics · Physics 2015-06-12 A. Gianninas , B. D. Strickland , Mukremin Kilic , P. Bergeron

We study how the precision of the exoplanet radius determination is affected by our present knowledge of limb darkening in two cases: when we fix the limb darkening coefficients and when we adjust them. We also investigate the effects of…

Earth and Planetary Astrophysics · Physics 2012-12-12 Sz. Csizmadia , Th. Pasternacki , C. Dreyer , J. Cabrera , A. Erikson , H. Rauer

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

Point lens microlensing events with impact parameter close to the source stellar radius allow the observer to study the surface brightness profile of the lensed source. We have examined the effect of photospheric star spots on multicolour…

Astrophysics · Physics 2009-11-07 M. A. Hendry , H. M. Bryce , D. Valls-Gabaud