Brightest members of clusters of galaxies

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Photometry, Galactic Clusters, Luminous Intensity, Statistical Analysis, Astrophysics, Luminosity, Magnitude, Mathematical Models, Milky Way Galaxy, Radio Scattering, Standard Deviation

Scientific paper

Two opposing interpretations of the small dispersio in the absolute magnitudes of the brightest members of rich clusters of galaxies measured by Sandage (1976) are considered, and an analysis which removes an objection to the statistical model is presented. In this model, it is assumed that there is a universal cluster luminosity function and that the value of the dispersion is a consequence of the statistical result of drawing the brightest member from a set of clusters obeying this function. When the variation in absolute magnitudes is measured to a fixed isophote rather than to a fixed radius, as was done by Sandage, a larger dispersion is obtained, which obviates the need to posit a luminosity function steeper than any directly observed.

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