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Very precise measurements of exoplanet transit lightcurves both from ground and space based observatories make it now possible to fit the limb-darkening coefficients in the transit-fitting procedure rather than fix them to theoretical…

地球与行星天体物理 · 物理学 2016-01-29 Néstor Espinoza , Andrés Jordán

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…

Limb-darkening is fundamental in determining transit lightcurve shapes, and is typically modeled by a variety of laws that parametrize the intensity profile of the star that is being transited. Confronted with a transit lightcurve, some…

地球与行星天体物理 · 物理学 2015-05-04 Néstor Espinoza , Andrés Jordán

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.…

太阳与恒星天体物理 · 物理学 2019-09-04 Donald R. Short , William F. Welsh , Jerome A. Orosz , Gur Windmiller , P. F. L Maxted

Stellar limb darkening affects a wide range of astronomical measurements and is frequently modelled with a parametric model using polynomials in the cosine of the angle between the line of sight and the emergent intensity. Two-parameter…

太阳与恒星天体物理 · 物理学 2015-06-16 David M. Kipping

Modeling observations of transiting exoplanets or close binary systems by comparing the observations with theoretical light curves requires precise knowledge of the distribution of specific intensities across the stellar disk. We aim to…

太阳与恒星天体物理 · 物理学 2025-07-09 A. Claret , P. H. Hauschildt , G. Torres

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…

太阳与恒星天体物理 · 物理学 2022-08-31 A. Claret , J. Southworth

Limb-darkening is a fundamental constraint for modeling eclipsing binary and planetary transit light curves. As observations, for example from Kepler, CoRot, and Most, become more precise then a greater understanding of limb-darkening is…

太阳与恒星天体物理 · 物理学 2015-05-30 Hilding Neilson

Stellar limb-darkening impacts a wide range of astronomical measurements. The accuracy to which it is modelled limits the accuracy in any covariant parameters of interest, such as the radius of a transiting planet. With the ever growing…

太阳与恒星天体物理 · 物理学 2015-12-16 David M. Kipping

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…

地球与行星天体物理 · 物理学 2019-01-30 P. F. L. Maxted , S. Gill

We present a novel, iterative method using an empirical Bayesian approach for modeling the limb darkened WASP-121b transit from the TESS light curve. Our method is motivated by the need to improve $R_{p}/R_{\ast}$ estimates for exoplanet…

地球与行星天体物理 · 物理学 2021-06-09 Fan Yang , Richard J. Long , Ji-Feng Liu , Su-Su Shan , Rui Guo , Bo Zhang , Tuan Yi , Ling-Lin Zheng , Zhi-Chao Zhao

Users of the JKTEBOP code to solve the light curves of eclipsing binaries often confuse the gravity darkening coefficients, $y(\lambda)$, with the bolometric gravity darkening exponents, $\beta$. JKTEBOP requires the wavelength-dependent…

太阳与恒星天体物理 · 物理学 2021-11-03 Guillermo Torres

We compute the emergent stellar spectra from the UV to far infrared for different viewing angles using realistic 3D model atmospheres for a large range in stellar parameters to predict the stellar limb darkening. We have computed full 3D…

太阳与恒星天体物理 · 物理学 2014-12-24 Zazralt Magic , Andrea Chiavassa , Remo Collet , Martin Asplund

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…

太阳与恒星天体物理 · 物理学 2020-11-04 Donald R. Short , Jerome A. Orosz , Gur Windmiller , William F. Welsh

This paper examines how to compare stellar limb-darkening coefficients evaluated from model atmospheres with those derived from photometry. Different characterizations of a given model atmosphere can give quite different numerical results…

太阳与恒星天体物理 · 物理学 2015-05-28 Ian D. Howarth

We investigate a dynamical reconstruction of the dark energy equation of state parameter by assuming that it satisfies a law of motion described by an autonomous second-order differential equation, with the limit of the cosmological…

宇宙学与河外天体物理 · 物理学 2025-12-25 Andronikos Paliathanasis

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.…

地球与行星天体物理 · 物理学 2025-11-20 Farrukh A. Chishtie , Mohammad I. Saeed , Shaukat N. Goderya

We carried out numerical experiments on the evaluation of the possibilities of obtaining the information about brightness distributions for the components of eclipsing variables from the data of high-precision photometry expected for…

天体物理学 · 物理学 2009-11-11 M. B. Bogdanov , A. M. Cherepashchuk

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…

地球与行星天体物理 · 物理学 2020-03-04 Eric Agol , Rodrigo Luger , Daniel Foreman-Mackey

We have developed a universal approach to compute accurately the brightness of eclipsing binary systems during the transit of a planet in front of the stellar disk. This approach is uniform for all values of the system parameters and…

太阳与恒星天体物理 · 物理学 2015-06-15 M. K. Abubekerov , N. Yu. Gostev
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