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When exoplanets pass in front of their stars, they imprint a transit signature on the stellar light curve which to date has been assumed to be symmetric in time, owing to the planet being modelled as a circular area occulting the stellar…

天体物理仪器与方法 · 物理学 2021-07-01 Kathryn Jones , Néstor Espinoza

I present RoadRunner, a fast exoplanet transit model that can use any radially symmetric function to model stellar limb darkening while still being faster to evaluate than the analytical transit model for quadratic limb darkening by Mandel…

地球与行星天体物理 · 物理学 2020-09-24 Hannu Parviainen

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

We present a fast and user friendly exoplanet transit light curve modelling package PyTransit, implementing optimised versions of the Gimen\'ez and the Mandel & Agol transit models. The package offers an object-oriented Python interface to…

地球与行星天体物理 · 物理学 2015-04-29 Hannu Parviainen

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…

地球与行星天体物理 · 物理学 2015-08-12 Hannu Parviainen , Suzanne Aigrain

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 present here the first release of the open-source python package ExoTETHyS, which aims to provide a stand-alone set of tools for modeling spectro-photometric observations of the transiting exoplanets. In particular, we describe: (1) a…

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

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…

天体物理学 · 物理学 2009-11-13 Joshua A. Carter , Jennifer C. Yee , Jason Eastman , B. Scott Gaudi , Joshua N. Winn

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…

天体物理学 · 物理学 2009-11-13 Joshua A. Carter , Jennifer C. Yee , Jason Eastman , B. Scott Gaudi , Joshua N. Winn

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…

地球与行星天体物理 · 物理学 2017-08-23 Hilding R. Neilson , Joseph T. McNeil , Richard Ignace , John B. Lester

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 have added to the Chroma+ suite of stellar atmosphere and spectrum modelling codes the ability to synthesize the exo-planet transit lightcurve for planets of arbitrary size up to 10% of the host stellar radius, and arbitrary planetary…

太阳与恒星天体物理 · 物理学 2020-06-26 C. Ian Short

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…

地球与行星天体物理 · 物理学 2019-03-22 René Heller

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…

地球与行星天体物理 · 物理学 2022-08-31 Tyler A. Gordon , Eric Agol

We present CONAN (COde for exoplaNet ANalysis), an open-source Python package for comprehensive analyses of exoplanetary systems. It provides a unified Bayesian framework to simultaneously analyze diverse exoplanet datasets to derive global…

天体物理仪器与方法 · 物理学 2025-08-29 Babatunde Akinsanmi , Monika Lendl , Andreas Krenn

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

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

A simple transit model is described along with tests of this model against published results for 4 exoplanet systems (Kepler-1, 2, 8, and 77). Data from the Kepler mission are used. The Markov Chain Monte Carlo (MCMC) method is applied to…

地球与行星天体物理 · 物理学 2017-06-28 Yi Ji , Timothy Banks , Edwin Budding , Michael Rhodes

We present a new solution of the direct problem of planet transits based on transformation of double integrals to single ones. On the basis of our direct problem solution we created the code TAC-maker for rapid and interactive calculation…

天体物理仪器与方法 · 物理学 2015-06-15 D. Kjurkchieva , D. Dimitrov , A. Vladev , V. Yotov
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