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A Natural Formalism for Microlensing

© 2000. The American Astronomical Society. All rights reserved. Printed in U.S.A.
, , Citation Andrew Gould 2000 ApJ 542 785 DOI 10.1086/317037

0004-637X/542/2/785

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 (θE,E) and the underlying physical quantities (Mrel) become immediately obvious. Here θE and E are the angular and projected Einstein radii, M is the mass of the lens, and πrel 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.

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10.1086/317037