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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

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…

Solar and Stellar Astrophysics · Physics 2015-05-30 Hilding Neilson

We explore the sensitivity of limb darkening coefficients computed from stellar atmosphere models to different least-squares fitting methods. We demonstrate that conventional methods are strongly biased to fitting the stellar limb. Our…

Astrophysics · Physics 2008-11-26 David Heyrovsky

One of the main endeavors of the field of exoplanetary sciences is the characterization of exoplanet atmospheres on a population level. The current method of choice to accomplish this task is transmission spectroscopy, where the apparent…

Earth and Planetary Astrophysics · Physics 2024-09-09 Louis-Philippe Coulombe , Pierre-Alexis Roy , Björn Benneke

Model stellar atmospheres are fundamental tools for understanding stellar observations from interferometry, microlensing, eclipsing binaries and planetary transits. However, the calculations also include assumptions, such as the geometry of…

Solar and Stellar Astrophysics · Physics 2015-06-15 Hilding R. Neilson , John B. Lester

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

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

Although the main goal of the Transiting Exoplanet Survey Satellite (\textit{TESS}) is to search for new transiting exoplanets, its data can also be used to study in further detail already known systems. The \textit{TESS} bandpass is…

Earth and Planetary Astrophysics · Physics 2022-05-04 Jayshil A. Patel , Néstor Espinoza

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

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

The precise derivation of transit depths from transit light curves is a key component for measuring exoplanet transit spectra, and henceforth for the study of exoplanet atmospheres. However, it is still deeply affected by various kinds of…

Earth and Planetary Astrophysics · Physics 2020-02-26 Mario Morvan , Nikolaos Nikolaou , Angelos Tsiaras , Ingo P. Waldmann

Limb darkening is a fundamental ingredient for interpreting observations of planetary transits, eclipsing binaries, optical/infrared interferometry and microlensing events. However, this modeling traditionally represents limb darkening by a…

Solar and Stellar Astrophysics · Physics 2015-06-16 Hilding R. Neilson , John B. Lester

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…

Research into light curves from stars (temporal variation of brightness) has completely changed how exoplanets are discovered or characterised. This study including star light curves from the Kepler dataset as a way to discover exoplanets…

Earth and Planetary Astrophysics · Physics 2025-06-24 Krishna Chamarthy

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

Differences in the ingress and egress shapes of transit light curves can indicate morning-evening temperature contrasts on transiting planets. Here, we pinpoint an alternative mechanism that can introduce asymmetries in transit light…

Solar and Stellar Astrophysics · Physics 2025-07-23 N. Kostogryz , A. I. Shapiro , L. Carone , L. Gizon , Ch. Helling , S. Kiefer , S. Mercier , S. Seager , S. K. Solanki , Y. Unruh , J. de Wit , V. Witzke

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

We release a new grid of stellar limb-darkening coefficients (LDCs, using the quadratic, power-2 and claret-4 laws) and intensity profiles for the Kepler, U, B, V and R passbands, based on STAGGER model atmospheres. The data can be…

Earth and Planetary Astrophysics · Physics 2021-10-29 Giuseppe Morello , Andrea Chiavassa

Thanks to missions like Kepler and TESS, we now have access to tens of thousands of high precision, fast cadence, and long baseline stellar photometric observations. In principle, these light curves encode a vast amount of information about…

Solar and Stellar Astrophysics · Physics 2021-09-08 Rodrigo Luger , Daniel Foreman-Mackey , Christina Hedges , David W. Hogg

High-quality time series provided by space instrumentation such as CoRoT and Kepler, allow us to measure modulations in the light curves due to changes in the surface of stars related to rotation and activity. Therefore, we are able to…

Solar and Stellar Astrophysics · Physics 2013-07-17 R. A. Garcia , T. Ceillier , S. Mathur , D. Salabert