Scatter in the Richness-Velocity Dispersion Relation for SDSS Galaxy Clusters

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

While weak gravitational lensing can measure the average mass of a group of optically selected galaxy clusters, it cannot yet determine the scatter in mass of that group. We present new measurements of the scatter in the velocity dispersion vs. optical richness relation made using spectroscopic observations of galaxy clusters from the Sloan Digital Sky Survey. We characterize this scatter as lognormal with parameters that vary as a function of optical richness. The scatter is at most 8% in the logarithm of the velocity dispersion and decreases with increasing optical richness. Although velocity dispersion does not map directly to mass, we show that this work is a first step in estimating the total scatter in the mass vs. optical richness relation.

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