A Natural Formalism for Microlensing
Andrew Gould
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, rE) and the underlying physical quantities (M,πrel) become immediately obvious. Here θE and rE 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 for microlensing.
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