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In the process of analyzing an observed light curve, one often confronts various scenarios that can mimic the planetary signals causing difficulties in the accurate interpretation of the lens system. In this paper, we present the analysis…

Lensing of one member of a binary by its companion is studied for several classes of binaries. For binaries in which at least one member is an ordinary (non-compact) star, the optical depths to lensing is extremely low, $\tau\lsim…

Astrophysics · Physics 2009-10-22 Andrew Gould

To maximize the number of planet detections by increasing efficiency, current microlensing follow-up observation experiments are focusing on high-magnification events to search for planet-induced perturbations near the peak of lensing light…

Astrophysics · Physics 2009-11-10 Cheongho Han

The current modelling of single microlensing light curves neglects the possibility that only a fraction of the light is due to the lensed star, the remaining being due to a close, unresolved blend, which may be related or unrelated to the…

Astrophysics · Physics 2009-10-30 Przemyslaw Wozniak , Bohdan Paczynski

Gravitational and plasma lensing share the same mathematical formalism in the limit of geometrical optics. Both phenomena can be effectively described by a projected, two-dimensional deflection potential whose gradient causes an…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-01 Jenny Wagner , Xinzhong Er

Gravitational lensing is the phenomenon arising when light rays are deflected by the mass between the source and the observer. Largely magnified and highly distorted images of background galaxies are formed by these angular deflections if…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-02 Atınç Çağan Şengül

A fraction of Galactic stars have compact companions which could be white dwarfs (WDs), neutron stars (NSs) or stellar-mass black holes (SBHs). In a detached and edge-on binary system including a main-sequence star and a compact object…

Solar and Stellar Astrophysics · Physics 2024-09-20 Sedighe Sajadian , Niayesh Afshordi

Blended light is an important source of degeneracy in the characterization of microlensing events, particularly in binary-lens and high magnification events. We show how the techniques of image subtraction can be applied to form an image of…

Astrophysics · Physics 2007-05-23 Andrew Gould , Jin H. An

A microlensing event may exhibit a second brightening when the source and/or the lens is a binary star. Previous study revealed 19 such repeating event candidates among 4120 investigated microlensing light curves of the Optical…

Solar and Stellar Astrophysics · Physics 2009-01-20 M. Jaroszynski , J. Skowron

Current microlensing follow-up observations focus on high-magnification events because of the high efficiency of planet detection. However, central perturbations of high-magnification events caused by a planet can also be produced by a very…

Earth and Planetary Astrophysics · Physics 2015-06-04 Sun-Ju Chung , Kyu-Ha Hwang , Yoon-Hyun Ryu , Chung-Uk Lee

Gravitational microlensing is a unique method for discovering cold planets across a broad mass range. Reliable statistics of the microlensing planets require accurate sensitivity estimates. However, the impact of the degeneracies in…

Earth and Planetary Astrophysics · Physics 2025-11-24 Yuxin Shang , Hongjing Yang , Jiyuan Zhang , Shude Mao , Andrew Gould , Weicheng Zang , Qiyue Qian , Jennifer C. Yee

(abridged) Some difficulties in determining the physical properties that lead to observed anomalies in microlensing light curves, such as the mass and separation of extra-solar planets orbiting the lens star, or the relative source-lens…

Astrophysics · Physics 2009-11-13 M. Dominik

Gravitational lensing offers a competitive method to measure $H_0$ with the goal of 1% precision. A major obstacle comes in the form of lensing degeneracies, such as the mass sheet degeneracy (MSD), which make it possible for a family of…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-01 Matthew R. Gomer , Liliya L. R. Williams

The offset microlensing degeneracy, recently proposed by Zhang et al. (2022), has been shown to generalize the close-wide and inner-outer caustic degeneracies into a unified regime of magnification degeneracy in the interpretation of 2-body…

Earth and Planetary Astrophysics · Physics 2022-09-13 Keming Zhang , B. Scott Gaudi

When a source star is microlensed by one stellar component of a widely separated binary stellar components, after finishing the lensing event, the event induced by the other binary star can be additionally detected. In this paper, we…

Solar and Stellar Astrophysics · Physics 2011-02-11 Sun-Ju Chung , Byeong-Gon Park , Yoon-Hyun Ryu , Andrew Humphrey

Binaries containing compact objects, if viewed close to edge on, can produce periodic brightening events under certain conditions on the masses, radii, and binary separation. Such flares are caused by one object gravitational lensing the…

Solar and Stellar Astrophysics · Physics 2023-11-27 Guy Nir , Joshua S. Bloom

We present three different theoretically foreseen, but unusual, astrophysical situations where the gravitational lens equation ends up being the same, thus producing a degeneracy problem. These situations are (a) the case of gravitational…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Margarita Safonova , Diego F. Torres

We give a physical interpretation of the formalism intrinsic degeneracies of the gravitational lensing formalism that we derived on a mathematical basis in part IV of this series. We find that all degeneracies occur due to the partition of…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-19 Jenny Wagner

The light curve of the microlensing event KMT-2021-BLG-0240 exhibits a short-lasting anomaly with complex features near the peak at the 0.1~mag level from a single-lens single-source model. We conducted modeling of the lensing light curve…