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The transit method is one of the most relevant exoplanet detection techniques, which consists of detecting periodic eclipses in the light curves of stars. This is not always easy due to the presence of noise in the light curves, which is…

In this paper we describe an algorithm and deduce the related mathematical formulae that allows the computation of observed fluxes in stellar and planetary systems with arbitrary number of bodies being part of a transit or occultation…

Earth and Planetary Astrophysics · Physics 2015-06-03 András Pál

We present the results of numerical experiments to assess degeneracies in lightcurve models of starspots. Using synthetic lightcurves generated with the Cheetah starspot modeling code, we explore the extent to which photometric light curves…

Instrumentation and Methods for Astrophysics · Physics 2015-06-12 Lucianne M. Walkowicz , Gibor S. Basri , Jeff A. Valenti

The transit method allows the detection and characterization of planetary systems by analyzing stellar light curves. Convolutional neural networks appear to offer a viable solution for automating these analyses. In this research, two 1D…

An optical imaging system forms an object image by recollecting light scattered by the object. However, intact optical information of the object delivered through the imaging system is deteriorated by imperfect optical elements and unwanted…

Optics · Physics 2017-03-28 SangYun Lee , Kyeoreh Lee , Seungwoo Shin , YongKeun Park

The presence of silicate material in known rings in the Solar System raises the possibility of ring systems existing even within the snow line -- where most transiting exoplanets are found. Previous studies have shown that the detection of…

Earth and Planetary Astrophysics · Physics 2019-10-29 Edan Rein , Aviv Ofir

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

Astronomical transients are stellar objects that become temporarily brighter on various timescales and have led to some of the most significant discoveries in cosmology and astronomy. Some of these transients are the explosive deaths of…

Machine Learning · Computer Science 2021-12-20 Daniel Muthukrishna , Kaisey S. Mandel , Michelle Lochner , Sara Webb , Gautham Narayan

Short-period planets suffer from extreme tidal forces from their parent stars causing them to deform and attain non-spherical shapes. The planet shapes, modeled here as triaxial ellipsoids, can have an impact on the observed transit light…

Earth and Planetary Astrophysics · Physics 2019-01-23 B. Akinsanmi , S. C. C. Barros , N. C. Santos , A. C. M. Correia , P. F. L. Maxted , G. Boué , J. Laskar

In this paper, we propose a novel, effective and fast method to obtain a color illumination invariant and shadow-free image from a single outdoor image. Different from state-of-the-art methods for shadow-free image that either need shadow…

Computer Vision and Pattern Recognition · Computer Science 2015-01-30 Liangqiong Qu , Jiandong Tian , Zhi Han , Yandong Tang

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

Shape from shading is a classical inverse problem in computer vision. This shape reconstruction problem is inherently ill-defined; it depends on the assumed light source direction. We introduce a novel mathematical formulation for…

Computer Vision and Pattern Recognition · Computer Science 2013-06-25 Benjamin Kunsberg , Steven W. Zucker

Rings around exoplanets (exorings) are one of the most expected discoveries in exoplanetary research. There is an increasing number of theoretical and observational efforts for detecting exorings, but none of them have succeeded yet. Most…

Earth and Planetary Astrophysics · Physics 2022-08-09 Jorge I. Zuluaga , Mario Sucerquia , Jaime A. Alvarado-Montes

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

It is known that the shape of a planet (oblateness, rings, etc.) slightly modifies the shape of the transit light curve. The forthcoming space missions (Corot, Kepler), able to detect the transit of Earth-like planets, could a fortiori also…

Astrophysics · Physics 2007-05-23 Luc Arnold

Occultation and microlensing are different limits of the same phenomena of one body passing in front of another body. We derive a general exact analytic expression which describes both microlensing and occultation in the case of spherical…

Astrophysics · Physics 2009-11-07 Eric Agol

There is a unique solution of the planet and star parameters from a planet transit light curve with two or more transits if the planet has a circular orbit and the light curve is observed in a band pass where limb darkening is negligible.…

Astrophysics · Physics 2009-11-07 Sara Seager , Gabriela Mallen-Ornelas

Transiting planet lightcurves have historically been used predominantly for measuring the depth and hence ratio of the planet-star radii, p. Equations have been previously presented by Seager & Mallen-Ornelas (2003) for the analysis of the…

Astrophysics · Physics 2009-11-13 David M. Kipping

This paper addresses the problem of reconstructing the surface shape of transparent objects. The difficulty of this problem originates from the viewpoint dependent appearance of a transparent object, which quickly makes reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2021-05-24 Kai Han , Kwan-Yee K. Wong , Miaomiao Liu

We address the novel task of jointly reconstructing the 3D shape, texture, and motion of an object from a single motion-blurred image. While previous approaches address the deblurring problem only in the 2D image domain, our proposed…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Denys Rozumnyi , Martin R. Oswald , Vittorio Ferrari , Marc Pollefeys