Gravitational lens inversions of CL 0024+1654

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Galactic Clusters, Gravitational Lenses, Interacting Galaxies, Inversions, Error Functions, Mass Distribution, Mathematical Models, Statistical Analysis

Scientific paper

We present a series of models for the triple arc in Cl 0024+1654 based on reconstructions using lens models with a smooth cluster potential and two perturbing galaxies. The algorithm makes no assumptions about the structure of the source, and it uses an objective error measure. We produce very good inversions of the arc structure. The velocity dispersion of the cluster is not uniquely determined because of a parameter degeneracy between the core radius of the cluster and the asymptotic bending angle of the cluster. Typical solutions give cluster velocity dispersions of 1100-1400 km/s for source redshifts between zs = 2 and zs = 1, consistent with dynamical estimates for this system, and cluster core radii of 10 sec - 20 sec or (30-60)/h kpc. Acceptable models need the two perturbing galaxies near the middle arc segment, and we estimate that the two galaxies have critical radii of bA = 1.3 sec and bB = 1 sec, respectively. Such critical radii are typical for L approximately L* galaxies if zs greater than or approximately equal to 2. Elliptical models for the perturbing galaxies do not significantly reduce the residuals from the results for spherical galaxies.

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