The Magnitude-Diameter Relation of Galaxies
Sidney van den Bergh

TL;DR
This study finds that the luminosity-diameter relation of galaxies within 10 Mpc is remarkably consistent across different environments, showing minimal dependence on local density or cluster membership, and revealing a near-universal linear correlation.
Contribution
It demonstrates that the luminosity-diameter relation of galaxies is nearly environment-independent, contrasting with expectations of environmental influence.
Findings
Luminosity-diameter relation is consistent across different environments.
Early-type galaxies are slightly more compact at a given luminosity.
Relation appears to be nearly environment-insensitive.
Abstract
We investigate the dependence of the luminosity-diameter relation of galaxies on the environment. This study is based on a comparison between the 80 galaxies in the Shapley-Ames Catalog that are located within a distance of 10 Mpc, and the luminosity-diameter relation for galaxies in great clusters such as Virgo and Coma. A relatively tight linear correlation is observed between the absolute magnitudes and the logarithms of the linear diameters of galaxies located within 10 Mpc. Surprisingly this observed power-law relationship appears to be almost independent of environment and local mass density as defined by Karachentsev & Malakov. However, at a given luminosity, early-type galaxies are (on average) slightly more compact than are objects of a later type. Unexpectedly the present results appear to indicate that the luminosity-diameter relation for the galaxies within 10 Mpc is…
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