A Natural Formalism for Microlensing

Details A Natural Formalism for Microlensing A Natural Formalism for Microlensing

2000-01-25

arxiv.org/abs/astro-ph/0001421v1

Astronomy and Astrophysics

Astrophysics

8 pages, 1 figure tells all. Interested parties are requested to vote on a proposed standard for microlensing notation given i

Scientific paper

10.1086/317037

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 (\theta_E,\tilde r_E) and the underlying physical quantities (M,\pi_rel) become immediately obvious. Here \theta_E and \tilde r_E are the angular and projected Einstein radii, M is the mass of the lens, and \pi_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 for microlensing.

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