Mathematics – Probability
Scientific paper
Mar 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...370....1m&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 370, March 20, 1991, p. 1-14.
Mathematics
Probability
122
Galactic Clusters, Gravitational Lenses, Mass Distribution, Astronomical Models, Ellipticity, Probability Distribution Functions, Red Shift
Scientific paper
The possibility of placing constraints on the mass distribution of a cluster of galaxies by analyzing the cluster's gravitational lensing effect on the images of more distant galaxies is investigated theoretically in the limit of weak distortion. The steps in the proposed analysis are examined in detail, and it is concluded that detectable distortion can be produced by clusters with line-of-sight velocity dispersions of over 500 km/sec. Hence it should be possible to determine (1) the cluster center position (with accuracy equal to the mean separation of the background galaxies), (2) the cluster-potential quadrupole moment (to within about 20 percent of the total potential if velocity dispersion is 1000 km/sec), and (3) the power law for the outer-cluster density profile (if enough background galaxies in the surrounding region are observed).
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