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Related papers: batman: BAsic Transit Model cAlculatioN in Python

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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…

Instrumentation and Methods for Astrophysics · Physics 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…

Earth and Planetary Astrophysics · Physics 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…

Solar and Stellar Astrophysics · Physics 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…

Earth and Planetary Astrophysics · Physics 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…

Earth and Planetary Astrophysics · Physics 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…

Earth and Planetary Astrophysics · Physics 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…

Earth and Planetary Astrophysics · Physics 2020-02-05 Giuseppe Morello , Antonio Claret , Marine Martin-Lagarde , Christophe Cossou , Angelos Tsiaras , Pierre-Olivier Lagage

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…

Earth and Planetary Astrophysics · Physics 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…

Astrophysics · Physics 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…

Astrophysics · Physics 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…

Earth and Planetary Astrophysics · Physics 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.…

Earth and Planetary Astrophysics · Physics 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…

Solar and Stellar Astrophysics · Physics 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…

Earth and Planetary Astrophysics · Physics 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…

Earth and Planetary Astrophysics · Physics 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…

Instrumentation and Methods for Astrophysics · Physics 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…

Solar and Stellar Astrophysics · Physics 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…

Earth and Planetary Astrophysics · Physics 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…

Earth and Planetary Astrophysics · Physics 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…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 D. Kjurkchieva , D. Dimitrov , A. Vladev , V. Yotov
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