A Natural Formalism for Microlensing

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Title: A Natural Formalism for Microlensing
Creators: Gould, Andrew
Keywords: astrometry
gravitational lensing
Issue Date: 2000-10-20
Publisher: American Astronomical Society
Citation: Andrew Gould, "A Natural Formalism for Microlensing," The Astrophysical Journal 542, no. 2 (2000), doi:10.1086/317037
DOI: 10.1086/317037
Abstract: If the standard microlensing geometry is inverted so that the Einstein ring is projected onto the observer plane rather than the source plane, then the relations between the observables (θ_E,r_E) and the underlying physical quantities (M,πrel) become immediately obvious. Here θ_E and r_E are the angular and projected Einstein radii, M is the mass of the lens, and π_rel is the lens-source relative parallax. I recast the basic formalism of microlensing in light of this more natural geometry and in terms of observables. I then find that the relations between observable and physical quantities assume an exceptionally simple form. In an appendix, I propose a set of notational conventions.
ISSN: 1538-4357
URI: http://hdl.handle.net/1811/47964
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