Statistics – Computation
Scientific paper
Sep 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986mnras.222..417l&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 222, Sept. 15, 1986, p. 417-426.
Statistics
Computation
13
Computational Astrophysics, Distance, Elliptical Galaxies, Galactic Clusters, Mass To Light Ratios, Electrophotometry, Luminosity, Regression Analysis, Root-Mean-Square Errors
Scientific paper
In a recent paper, Dressler (1984) derived the L versus log(σ) and L versus Mg2 relations for ellipticals in the Virgo and Coma clusters and used these relations to derive an accurate Coma-Virgo distance. Dressler adopted V26 magnitudes to represent the luminosities of the individual ellipticals. By using published photoelectric photometry the author has explored the consequences of using magnitudes derived from constant-size, relatively small (i.e. a few kpc) apertures in these relations. The root-mean-squares scatter about the L(aperture) relations is considerably smaller than that found for the L(V26) relations. The author shows how the L(aperture) relations can be used to measure relative cluster distances. By comparing the L(aperture) versus log(σ) relations of the Coma and Virgo ellipticals, he derives a relative distance modulus of 3.76±0.12 mag. The error in this determination is a factor of ≡1.7 lower than that obtained from the L(V26) versus log(σ) relations with the same set of galaxies.
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