Method for determining maximum-likelihood distance moduli for groups of galaxies

Details Method for determining maximum-likelihood distance moduli for groups of galaxies Method for determining maximum-likelihood distance moduli for groups of galaxies

Feb 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976apj...203..557s&link_type=abstract

Astrophysical Journal, vol. 203, Feb. 1, 1976, pt. 1, p. 557-568.

Astronomy and Astrophysics

Astrophysics

53

Astrometry, Astronomical Photometry, Galactic Clusters, Maximum Likelihood Estimates, Distance, Luminous Intensity, Radiant Flux Density, Spatial Distribution, Tables (Data)

Scientific paper

Two procedures are presented for estimating distance moduli for groups of galaxies. The first procedure is a variant of Abell's (1962) 'luminosity-function break' method and is useful for both sparse groups and rich clusters. The second is useful only for rich clusters and is a generalization of Sandage's (1961) 'single brightest member' method. The maximum-likelihood equations are derived, the functions for calculating the characteristic apparent magnitude are given in numerical tables, and several tests of the procedures on observational data are discussed. A detailed numerical example, using a fictitious rich cluster modeled closely on data for Abell 1413, is provided as an illustration of the procedures.

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