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With a handful of measurements of limb-darkening coefficients, galactic microlensing has already proven to be a powerful technique for studying atmospheres of distant stars. Survey campaigns such as OGLE-III are capable of providing ~ 10…

Astrophysics · Physics 2009-11-10 M. Dominik

In a line caustic crossing microlensing event, the caustic line moving across the surface of the source star provides a direct method to measure the integrated luminosity profile of the star. Combined with the enormous brightening at the…

Astrophysics · Physics 2007-05-23 Sun Hong Rhie , David P. Bennett

Although point caustics harbour a larger potential for measuring the brightness profile of stars during the course of a microlensing event than (line-shaped) fold caustics, the effect of lens binarity significantly limits the achievable…

Astrophysics · Physics 2009-11-10 M. Dominik

Observations of microlensing transit events can be used to measure the limb darkening of the lensed star. We discuss the advantages and drawbacks of several microlensing light curve inversion methods. The method of choice in this work is…

Astrophysics · Physics 2009-11-07 David Heyrovsky

Stars appear darker at their limbs than at their disk centers because at the limb we are viewing the higher and cooler layers of stellar photospheres. Limb darkening derived from state-of-the-art stellar atmosphere models systematically…

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

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

The ability to observe extrasolar planets transiting their stars has profoundly changed our understanding of these planetary systems. However, these measurements depend on how well we understand the properties of the host star, such as…

Solar and Stellar Astrophysics · Physics 2022-06-15 Hilding R. Neilson , John B. Lester , Fabien Baron

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

We have developed a code to compute multi-colour microlensing lightcurves for extended sources, including the effects of limb darkening and photospheric star spots as a function of spot temperature, position, size and lens trajectory. Our…

Astrophysics · Physics 2007-05-23 H M Bryce , M A Hendry

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

Characterization of the atmospheres of transiting exoplanets relies on accurate measurements of the extent of the optically thick area of the planet at multiple wavelengths with a precision $\lesssim$100 parts per million (ppm).…

Earth and Planetary Astrophysics · Physics 2017-09-06 Giuseppe Morello , Angelos Tsiaras , Ian D. Howarth , Derek Homeier

The transit method, employed by MOST, \emph{Kepler}, and various ground-based surveys has enabled the characterization of extrasolar planets to unprecedented precision. These results are precise enough to begin to measure planet atmosphere…

Earth and Planetary Astrophysics · Physics 2017-08-23 Hilding R. Neilson , Joseph T. McNeil , Richard Ignace , John B. Lester

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

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

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…

Solar and Stellar Astrophysics · Physics 2015-05-28 Ian D. Howarth

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 present a novel method for measuring the masses of evolved stars from their limb-darkening observations parameterized as a linear-plus-square-root function with two coefficients. The coefficients of the law are related to integrated…

Solar and Stellar Astrophysics · Physics 2010-11-22 Hilding R. Neilson , John B. Lester

Transiting exoplanets provide unparalleled access to the fundamental parameters of both extrasolar planets and their host stars. We present limb-darkening coefficients (LDCs) for the exoplanet hunting CoRot and Kepler missions. The LDCs are…

Earth and Planetary Astrophysics · Physics 2015-05-14 David K. Sing

Calculations are presented detailing the gravitational lens diffraction due to the steep brightness gradient of the limb of a stellar source. The lensing case studied is the fold caustic crossing. The limb diffraction signal greatly exceeds…

Astrophysics · Physics 2008-11-26 S. A. Zabel , J. B. Peterson
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