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Related papers: A Mathematical Treatment of the Offset Microlensin…

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We analyze the microlensing event KMT-2019-BLG-0797. The light curve of the event exhibits two anomalous features from a single-lens single-source model, and we aim to reveal the nature of the anomaly. It is found that a model with two…

We investigate the degeneracy of the central configuration formed by a regular $n$-gon of equal masses together with an additional mass at the center. While degeneracy of such configurations has traditionally been studied through direct…

Dynamical Systems · Mathematics 2026-04-20 Tingjie Zhou , Zhihong Xia

Extended source effects can be seen in gravitational lensing events when sources cross critical lines. Those events probe the stellar intensity profile and could be used to measure limb darkening coefficients to test stellar model…

Instrumentation and Methods for Astrophysics · Physics 2019-08-14 Hans J. Witt , F. Atrio-Barandela

The lensing information provided by multiple images, arclets, and statistical distortions can all be formulated as linear constraints on the arrival-time surface, and hence on the mass distribution. This reduces cluster lens reconstruction…

Astrophysics · Physics 2007-05-23 Prasenjit Saha , Liliya L. R. Williams , Hanadi AbdelSalam

The fraction of quasar's and gamma-ray burst (GRB) afterglows that vary due to microlensing by the stellar populations of intervening elliptical/S0 galaxies is computed by combining the joint distribution of effective microlensing…

Astrophysics · Physics 2009-11-07 J. S. B. Wyithe , E. L. Turner

The extension of the singular perturbative approach to the second order is presented in this paper. The general expansion to the second order is derived. The second order expansion is considered as a small correction to the first order…

Astrophysics of Galaxies · Physics 2016-07-06 C. Alard

A planetary microlensing signal is generally characterized by a short-term perturbation to the standard single lensing light curve. A subset of binary-source events can produce perturbations that mimic planetary signals, thereby introducing…

In this article we review the astrophysical application of gravitational microlensing. After introducing the history of gravitational lensing, we present the key equations and concept of microlensing. The most frequent microlensing events…

Instrumentation and Methods for Astrophysics · Physics 2016-03-21 Sohrab Rahvar

Flux ratio `anomalies' in quadruply-imaged gravitational lenses can be explained with galactic substructure of the sort predicted by CDM, but the strength and uniqueness of that hypothesis needs to be further assessed. A good way to do that…

Astrophysics · Physics 2009-11-10 Gregory Dobler , Charles R. Keeton

This study commenced by cross-matching data from the GAIA and OGLE telescopes with the aim of resolving the source star, long after microlensing is finished. The aim is breaking degeneracy between parameters of the microlensing equation,…

Instrumentation and Methods for Astrophysics · Physics 2024-05-28 Saeed Mozaheb , Sohrab Rahvar

The first investigations of the response of the microlensing magnification pattern (at an optical depth of order unity) to the mass function of the microlenses found that the resulting statistics depend only on the mean microlens mass <m>.…

Astrophysics · Physics 2009-10-31 J. S. B. Wyithe , E. L. Turner

We review five often used quad lens models, each of which has analytical solutions and can produce four images at most. Each lens model has two parameters, including one that describes the intensity of non-dimensional mass density, and the…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-09 Zhe Chu , G. L. Li , W. P. Lin

Quasar microlensing serves as a unique probe of discrete objects within galaxies and galaxy clusters. Recent advancement of the technique shows that it can constrain planet-scale objects beyond our native galaxy by studying their induced…

Astrophysics of Galaxies · Physics 2020-01-08 Saloni Bhatiani , Xinyu Dai , Eduardo Guerras

Planetary formation theories and, more specifically, migration models predict that planets can be captured in mean-motion resonances (MMRs) during the disc phase. The distribution of period ratios between adjacent planets shows an…

Earth and Planetary Astrophysics · Physics 2022-06-22 Carolina Charalambous , Jean Teyssandier , Anne-Sophie Libert

Light deflection in the post-linear gravitational field of two bounded point-like masses is treated. Both the light source and the observer are assumed to be located at infinity in an asymptotically flat space. The equations of light…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Michael H. Brügmann

A planetary microlensing event is characterized by a short-lived perturbation to the standard Paczy\'nski curve. Planetary perturbations typically last from a few hours to a day, and have maximum amplitudes, $\dmax$, of $5-20%$ of the…

Astrophysics · Physics 2007-05-23 B. Scott Gaudi

Highly magnified stars residing in caustic crossing lensed galaxies at z ~ 0.7-1.5 in galaxy cluster lensing fields inevitably exhibit recurrent brightening events as they traverse a micro caustic network cast down by foreground…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-14 Xu Han , Liang Dai

Although some of the properties of the caustics in planetary microlensing have been known, our understanding of them is mostly from scattered information based on numerical approaches. In this paper, we conduct a comprehensive and analytic…

Astrophysics · Physics 2009-11-13 Cheongho Han

Mapping the small-scale structure of the universe through gravitational lensing is a promising tool for probing the particle nature of dark matter. Curved Arc Basis (CAB) has been proposed as a local lensing formalism in galaxy clusters,…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-10 Nino Ephremidze , Chandrika Chandrashekar , Atınç Çağan Şengül , Cora Dvorkin

We compile a sample of 38 galaxy clusters which have both X-ray and strong lensing observations, and study for each cluster the projected offset between the dominant component of baryonic matter center (measured by X-rays) and the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 HuanYuan Shan , Bo Qin , Bernard Fort , Charling Tao , Xiang-Ping Wu , HongSheng Zhao