Astronomy and Astrophysics – Astrophysics
Scientific paper
2008-06-17
Astronomy and Astrophysics
Astrophysics
30 pg, incl. 12 figs; accepted to ApJ; PDF with full resolution figures available at http://webusers.astro.umn.edu/~llrw/angle
Scientific paper
10.1086/591227
We introduce a novel statistical way of analyzing the projected mass distribution in galaxy lenses based solely on the angular distribution of images in 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, \theta_1 through \theta_4, and \theta_{ij} is the angle between images i and j, then we define the 'bisector' plane whose axes are linear combinations of \theta_{23} and \theta_{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. non-wavy 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, kpc-scale substructure must be a common feature of galaxy lenses.
Belter Jason
Farnsworth Damon
Foley Patrick
Williams Liliya L. R.
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