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Gravitational microlensing provides a unique opportunity to probe the mass distribution of stars, black holes, and other objects in the Milky Way. Population simulations are necessary to interpret results from microlensing surveys. The…

Solar and Stellar Astrophysics · Physics 2025-01-08 Natasha S. Abrams , Jessica R. Lu , Casey Y. Lam , Michael S. Medford , Matthew W. Hosek, , Sam Rose

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

The influence of rotating binary systems on the light curves of galactic microlensing events is studied. Three different rotating binary systems are discussed: a rotating binary lens, a rotating binary source, and the motion of the earth…

Astrophysics · Physics 2014-10-10 M. Dominik

We introduce MulensModel, a software package for gravitational microlensing modeling. The package provides a framework for calculating microlensing model magnification curves and goodness-of-fit statistics for microlensing events with…

Instrumentation and Methods for Astrophysics · Physics 2019-01-08 Radoslaw Poleski , Jennifer Yee

We present a rigorous, detailed study of the generic, quantitative properties of gravitational microlensing near cusp catastrophes. We derive explicit formulas for the total magnification and centroid of the images created for sources…

Astrophysics · Physics 2008-11-26 B. Scott Gaudi , A. O. Petters

Since the first observation of triple-lens gravitational microlensing in 2006, analyses of six more events have been published by the end of 2018. In three events the lens was a star with two planets; four involved a binary star with a…

Earth and Planetary Astrophysics · Physics 2019-07-30 Kamil Danek , David Heyrovsky

We show that dust absorption in disk galaxies leads to a color- and orientation-dependent centroid shift which is expected to be observable in multi-band imaging surveys. This centroid shift is an interesting new probe which contains…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Petchara Pattarakijwanich , Fabian Schmidt

Coded apertures, traditionally employed in x-ray astronomy for imaging celestial objects, are now being adapted for micro-scale applications, particularly in studying microscopic specimens with synchrotron light diffraction. In this paper,…

Signal Processing · Electrical Eng. & Systems 2024-05-22 Doğa Gürsoy , Dina Sheyfer , Michael Wojcik , Wenjun Liu , Jonathan Tischler

Gravitational microlensing is a powerful tool that can be used to find and measure the mass of isolated and dark compact objects. In many microlensing events, the lens, the source, or both may be a binary system. In this work, we introduce…

Solar and Stellar Astrophysics · Physics 2026-03-30 T. Dex Bhadra , J. R. Lu , Natasha S. Abrams , Andrew Scharf , Edward Broadberry , Casey Lam , Macy J. Huston

As cosmology rapidly approaches the data-dominated phase of stage IV large scale structure surveys, the modelling of nonlinear scales has become a serious challenge that faces the community, particularly when analysing models beyond $w$CDM.…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-14 Sankarshana Srinivasan , Shreya Prabhu , Kai Lehman , Ajiv Krishnan V. , Jochen Weller

Timing analysis is a powerful tool used to determine periodic features of physical phenomena. Here we review two applications of timing analysis to gravitational microlensing events. The first one, in particular cases, allows the estimation…

Solar and Stellar Astrophysics · Physics 2017-04-26 Mosè Giordano , Achille Nucita , Francesco De Paolis , Gabriele Ingrosso

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

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

The method devised by Lewis et al. (1993) for calculating the light curve of a microlensed point source is expanded to two dimensions to enable the calculation of light curves of extended sources. This method is significantly faster than…

Astrophysics · Physics 2009-10-31 J. S. B. Wyithe , R. L. Webster

A small fraction of all quasars are strongly lensed and multiply imaged, with usually a galaxy acting as the main lens. Some, maybe all of these quasars are also affected by microlensing, the effects of stellar mass objects in the lensing…

Astrophysics · Physics 2009-11-10 Marie Treyer , Joachim Wambsganss

The delensing procedure is an effective tool for removing lensing-induced $B$-mode polarization in the Cosmic Microwave Background to allow for deep searches of primordial $B$-modes. However, the delensing algorithm existing in the…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-01 Wei-Hsiang Teng , Chao-Lin Kuo , Jiun-Huei Proty Wu

This paper presents first results on the line profile shapes from a circumstellar envelope in bulk motion as modified by a microlensing event. Only geometrically and optically thin spherical shells in uniform expansion or rotation are…

Astrophysics · Physics 2007-05-23 R. Ignace , M. A. Hendry

We study accuracy, robustness and self-consistency of pixel-domain simulations of the gravitational lensing effect on the primordial CMB anisotropies due to the large-scale structure of the Universe. In particular, we investigate dependence…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-09 Giulio Fabbian , Radek Stompor

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

The uncertainty of the lens mass can be substantially reduced if it is determined from the lens proper motion obtained from astrometric measurements of the source image centroid shifts, $\vdelta\vtheta_c$, by using high precision…

Astrophysics · Physics 2007-05-23 Cheongho Han , Kyongae Chang
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