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This work describes a new version of the Fast Multipole Method for summing pairwise particle interactions that arise from discretizing integral transforms and convolutions on the sphere. The kernel approximations use barycentric Lagrange…

数值分析 · 数学 2026-04-01 Anthony Chen , Robert Krasny

We investigate the chance of detecting proto-planetary or debris disks in stars that induce microlensing events (lenses). The modification of the light curves shapes due to occultation and extinction by the disks as well as the additional…

地球与行星天体物理 · 物理学 2015-05-13 M. Hundertmark , F. V. Hessman , S. Dreizler

Gravitational microlensing is one of the methods to detect exoplanets; planets outside our solar system. Here we focus on theoretical modeling of three lens systems and in particular circumbinary systems. Circumbinary systems include two…

地球与行星天体物理 · 物理学 2021-09-30 Brett George , Eleni-Alexandra Kontou , Patrycja Przewoznik , Eleanor Turrell

The most successful method used so far to search for extrasolar planets is the radial velocity technique, where periodical shifts on the measured emission from a star provide evidence for an orbiting planet. This method has been used on…

天体物理仪器与方法 · 物理学 2013-08-15 Carlos Bacigalupo

In the advent of new large galaxy surveys, which will produce enormous datasets with hundreds of millions of objects, new computational techniques are necessary in order to extract from them any two-point statistic, the computational time…

天体物理仪器与方法 · 物理学 2013-06-21 David Alonso

An attempt to measure the Hubble constant with gravitational lens time delays is often limited by the strong degeneracy between radial mass profiles of lens galaxies and the Hubble constant. We show that strong gravitational lensing of type…

天体物理学 · 物理学 2009-11-07 Masamune Oguri , Yozo Kawano

Although many methods of detecting extra-solar planets have been proposed and successful implementation of some of these methods enabled a rapidly increasing number of exoplanet detections, little has been discussed about the method of…

天体物理学 · 物理学 2009-11-07 Cheongho Han , Wonyong Han

A fast and practical method is described for calculating the microlensed flux variance of an arbitrary source by uncorrelated stars. The required inputs are the mean convergence and shear due to the smoothed potential of the lensing galaxy,…

宇宙学与河外天体物理 · 物理学 2015-06-17 Jeremy Goodman , Ai-Lei Sun

We investigate microlensing in the case where the lens is considered as an extended object. We use a multipolar expansion of the lens potential and show that the time-varying nature of the quadrupole contribution allows to separate it from…

天体物理学 · 物理学 2008-11-26 Florian Dubath , Maria Alice Gasparini , Ruth Durrer

Recently, there have been two landmark discoveries of gravitationally lensed supernovae: the first multiply-imaged SN, "Refsdal", and the first Type Ia SN resolved into multiple images, SN iPTF16geu. Fitting the multiple light curves of…

宇宙学与河外天体物理 · 物理学 2019-05-27 Justin R. Pierel , Steven A. Rodney

The number of exoplanets detected using gravitational microlensing technique is currently larger than 200, which enables population studies. Microlensing is uniquely sensitive to low-mass planets orbiting at separations of several…

地球与行星天体物理 · 物理学 2024-06-05 P. Mroz , R. Poleski

Rapid and robust parameter estimation of gravitational-wave sources is a key component of modern multi-messenger astronomy. We present a novel and straightforward method for rapid parameter estimation of gravitational-wave sources that uses…

天体物理仪器与方法 · 物理学 2025-07-31 Alexander Harvey Nitz

In the companion paper we began the task of systematically studying the detection of planets in wide orbits ($a > 1.5 R_E$) via microlensing surveys. In this paper we continue, focusing on repeating events. We find that, if all planetary…

天体物理学 · 物理学 2009-10-31 Rosanne Di Stefano , Richard A. Scalzo

Near-diffraction limited imaging and spectroscopy in the visible on large (8-10 meter) class telescopes has proved to be beyond the capabilities of current adaptive optics technologies, even when using laser guide stars. The need for high…

天体物理仪器与方法 · 物理学 2015-05-19 Craig Mackay , Tim D. Staley , David King , Frank Suess , Keith Weller

An efficient proximal-gradient-based method, called proximal extrapolated gradient method, is designed for solving monotone variational inequality in Hilbert space. The proposed method extends the acceptable range of parameters to obtain…

最优化与控制 · 数学 2019-12-05 Xiaokai Chang , Sanyang Liu , Jianchao Bai , Jun Yang

Modern astronomy relies on massive databases collected by robotic telescopes and digital sky surveys, acquiring data in a much faster pace than what manual analysis can support. Among other data, these sky surveys collect information about…

天体物理仪器与方法 · 物理学 2018-10-29 Evan Kuminski , Lior Shamir

Two new algorithms are described for matching two dimensional coordinate lists of point sources that are signifcantly faster than previous methods. By matching rarely occurring triangles (or more complex shapes) in the two lists, and by…

天体物理学 · 物理学 2009-11-13 V. Tabur

To determine the magnification of an extended source caused by gravitational lensing one has to perform a two-dimensional integral over point-source magnifications in general. Since the point-source magnification jumps to an infinite value…

天体物理学 · 物理学 2011-05-23 M. Dominik