2008/06/17 by Liliya L. R. Williams, Patrick Foley, Damon Farnsworth +1
Physics and Astronomy · #Astronomy and Astrophysical Research #Distribution (mathematics) #Feature (linguistics) #Galaxies: Formation, Evolution, Phenomena #Galaxy #Image plane #Lens (geology) #Mass distribution #Plane (geometry) #Statistical Mechanics and Entropy #Substructure #astro-ph
paper · pdf · doi:10.1086/591227
30 pg, incl. 12 figs; accepted to ApJ; PDF with full resolution figures available at http://webusers.astro.umn.edu/~llrw/anglespaper.pdf
arxiv created 2008/06/17 · openalex publication_date 2008/09/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We introduce a novel statistical way of analyzing the projected mass distribution in galaxy lenses based solely on the angular distribution of images in four-image systems ("quads") around the lens center. The method requires the knowledge of the lens center location, but the images' distances from the lens center are not used at all. If the images of a quad are numbered in order of arrival time, θ 1 through θ 4 , and θ ij is the angle between images i and j , then we define the "bisector" plane whose axes are linear combinations of θ 23 and θ 14 . The bisector plane of a given lens contains all the quads produced by the lens. We show empirically that all two-fold symmetric lenses with convex, i.e., nonwavy or petal-like, isodensity contours are identical in the bisector plane of their quads. We also study lenses with twisting isodensity contours, lumpy substructure, etc. Our results suggest that to reproduce the general characteristics of the observed quad population, kiloparsec-scale substructure must be a common feature of galaxy lenses.