A Natural Formalism for Microlensing
By A. Gould. 2000
185 citations recorded by the source corpus.
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 (M,πrel) 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.
Subfields: Astronomy and Astrophysics
View Paper: https://www.semanticscholar.org/paper/b32067cf4cb69b3489ae81cb4c1e376291a06642
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In Astronomy and Astrophysics
Citations in the corpus
- FREQUENCY OF SOLAR-LIKE SYSTEMS AND OF ICE AND GAS GIANTS BEYOND THE SNOW LINE FROM HIGH-MAGNIFICATION MICROLENSING EVENTS IN 2005–2008 (2010, background): “For 5 of the events, both the angular Einstein radius θE and the “microlens parallax” πE are measured, which together permits a mass measurement M = θE/κπE, where κ ≡ 4G/(c2AU) ∼ 8.1 masM−1⊙ (Gould 2000b).”
- Resolution of the MACHO-LMC-5 Puzzle: The Jerk-Parallax Microlens Degeneracy (2003, unknown): “See also Gould (2000).”
- Microlensing Surveys for Exoplanets (2012, methodology): “Adapted from Gould (2000a), reproduced by permission of the AAS.”
- MOA-2009-BLG-387Lb: a massive planet orbiting an M dwarf (2011, background): “Roughly half of all microlensing events toward the Galactic bulge stem from stars with mass ∼0.5 M (Gould 2000).”