The probability of arc lensing by clusters of galaxies

Statistics – Computation

Scientific paper

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Computational Astrophysics, Galactic Clusters, Gravitational Lenses, Brightness Distribution, Red Shift, Velocity Distribution

Scientific paper

The present examination of the probability that clusters of galaxies generate detectable arcs or unusually elongated images from distant sources by acting as gravitational lenses assumes that the clusters are isothermal spheres, while modeling the source galaxies as exponential disks. It is found that, for a cluster such as Abell 370, the probability of observing giant arcs is of the order of 1 in 200 for a maximum redshift of 0.72, and approaches 1 in 10 if the cluster is inspected down to a surface brightness of 26.5 mag/sq arcsec. Many additional clusters should exhibit distorted galaxy images that are usually elongated perpendicular to the radius vector to the cluster center.

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