Hexadecapole Approximation in Planetary Microlensing

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Title: Hexadecapole Approximation in Planetary Microlensing
Creators: Gould, Andrew
Keywords: gravitational lensing
methods: numerical
planetary systems
Issue Date: 2008-07-10
Publisher: American Astronomical Society
Citation: Andrew Gould, "Hexadecapole Approximation in Planetary Microlensing," The Astrophysical Journal 681, no. 2 (2010), doi:10.1086/588601, http://iopscience.iop.org/0004-637X/681/2/1593
DOI: 10.1086/588601
Abstract: The frequency of microlensing planet detections, particularly in difficult-to-model high-magnification events, is increasing. Their analysis can require tens of thousands of processor hours or more, primarily because of the high density and high precision of measurements whose modeling requires time-consuming finite-source calculations. I show that a large fraction of these measurements, those that lie at least one source diameter from a caustic or the extension from a cusp, can be modeled using a very simple hexadecapole approximation, which is one to several orders of magnitude faster than full-fledged finite-source calculations. Moreover, by restricting the regions that actually require finite-source calculations to a few isolated "caustic features," the hexadecapole approximation will, for the first time, permit the powerful "magnification map" approach to be applied to events for which the planet's orbital motion is important.
ISSN: 1538-3881
URI: http://hdl.handle.net/1811/47536
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