Other
Scientific paper
Nov 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...436...56k&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-367X), vol. 436, no. 1, p. 56-66
Other
83
Dark Matter, Dynamic Models, Elliptical Galaxies, Galactic Structure, Gravitational Lenses, Halos, Luminosity, Anisotropy, Astronomical Photometry, Statistical Distributions
Scientific paper
We examine the dynamics of luminous galaxies in singular isothermal mass distributions by fitting the line-of-sight velocity dispersion profiles of 37 elliptical galaxies assuming that the galaxies are spherical, are non-rotating, and have a constant velocity anisotropy. We find that the observed central velocity dispersion, sigmac, is a good estimate for the velocity dispersion of the halo sigmaDM. If the sigmaDM are fitted with a power law of the luminosity, sigmaDM = sigmaDM* (L/L*) 1/gamma, we find sigmaDM* = 225 +/- 10 km/s and 1/gamma = 0.24 +/- 0.05, compared to sigmac* = 228 +/- 14 km/s and 1/gamma = 0.29 +/- 0.07 for the central velocity dispersions. The scatter about the power law is correlated with the central surface brightness and the effective radius (the 'fundamental plane') and is uncorrelated with ellipticity and rotation. The existence of a fundamental plane that causes intrinsic scatter about the power-law relations significantly modifies the number counts of galaxies as a function of velocity dispersion.
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