Mass segregation and the rank correlation of luminosity with projected distance in clusters of galaxies

Details Mass segregation and the rank correlation of luminosity with projected distance in clusters of galaxies Mass segregation and the rank correlation of luminosity with projected distance in clusters of galaxies

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985apj...288..117s&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 288, Jan. 1, 1985, p. 117-121.

Astronomy and Astrophysics

Astrophysics

2

Correlation Coefficients, Galactic Clusters, Galactic Radiation, Luminosity, Mass Distribution, Distance, Mass To Light Ratios, Rank Tests

Scientific paper

Simulated data from 64-body numerical experiments have been used to test the suitability of the rank correlation coefficient (r) of luminosity with projected distance as a measure of mass segregation. In situations in which the individual masses or mass-to-light ratios are known, (r) is a relatively sensitive indicator of mass segregation. However, in the more realistic situation in which there is an appreciable scatter of the individual values around the mean mass-luminosity relation, (r) loses much of its sensitivity. This is especially true if the mass-luminosity relation is of the form L proportional to M exp(alpha), with alpha less than 1. For this reason the absence of significant luminosity segregation is not necessarily a strong argument against a cluster's mass being contained entirely in its member galaxies. In particular, for the Coma Cluster the observed value of (r) is consistent with that from the N-body model reported by White (1976), taking into account the expected scatter in the mass-to-light ratio.

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