Cluster luminosity function and n$^{th

Details Cluster luminosity function and n$^{th Cluster luminosity function and n$^{th

Sep 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998a%26a...337...31r&link_type=abstract

Astronomy and Astrophysics, v.337, p.31-38 (1998)

Astronomy and Astrophysics

Astrophysics

27

Cosmology: Distance Scale, Cosmology: Large-Scale Structure Of Universe, Galaxies: Clusters, Galaxies: Luminosity Function

Scientific paper

We define here a standard candle to determine the distance of clusters of galaxies and to investigate their peculiar velocities by using the n(th) rank galaxy (magnitude m_n). We address the question of the universality of the luminosity function for a sample of 28 rich clusters of galaxies (cz =~ 20000 km.s(-1) ) in order to model the influence on m_n of cluster richness. This luminosity function is found to be universal and the fit of a Schechter profile gives alpha =-1.50+/-0.11 and Mbj*=-19.91 +/-0.21 in the range [-21,-17]. The uncorrected distance indicator m_n is more efficient for the first ranks n. With n=5, we have a dispersion of 0.61 magnitude for the (m_n,5log(cz)) relation. When we correct for the richness effect and subtract the background galaxies we reduce the uncertainty to 0.21 magnitude with n=15. Simulations show that a large part of this dispersion originates from the intrinsic scatter of the standard candle itself. These provide upper bounds on the amplitude sigma_v of cluster radial peculiar motions. At a confidence level of 90 %, the dispersion is 0.13 magnitude and sigma_v is limited to 1200 km.s(-1) for our sample of clusters.

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