Mathematics
Scientific paper
Dec 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981a%26a...104..280k&link_type=abstract
Astronomy and Astrophysics, vol. 104, no. 2, Dec. 1981, p. 280-287. Research supported by the Swiss National Science Foundation
Mathematics
40
Galactic Radiation, Radiant Flux Density, Stellar Luminosity, Virgo Galactic Cluster, Functions (Mathematics), Galactic Evolution, Galactic Structure, Radial Velocity, Red Shift, Spectral Energy Distribution, Spiral Galaxies
Scientific paper
The luminosity function of a complete sample of 176 Virgo cluster galaxies is derived. The 160 cluster members with known redshift yield a mean radial velocity of 967 + or - 53 km/sec with a dispersion of 668 km/sec. The Schechter function, used to approximate the empirical luminosity distribution, is discussed. The best solutions are fitted to 11 subsamples of different morphological types, and a maximum-likelihood method is used to find the best luminosity function parameters. The Schechter type luminosity function gives values of the parameters beta -0.25 and the absolute characteristic magnitude -21.3 m, which are in good agreement with the parameters of other clusters. These parameters differ considerably, however, for several morphological subsamples, particularly for the E and SO galaxies. These differences can be reduced for some samples if magnitude corrections for internal absorption are applied.
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