A new calibration of the log D(n)-log sigma relation

Details A new calibration of the log D(n)-log sigma relation A new calibration of the log D(n)-log sigma relation

Dec 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...240....1w&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 240, no. 1, Dec. 1990, p. 1-10.

Astronomy and Astrophysics

Astrophysics

5

Astronomical Models, Astronomical Photometry, Cosmology, Elliptical Galaxies, Galactic Clusters, Gravitational Effects, Iterative Solution, Optimization, Spatial Distribution, Virial Theorem

Scientific paper

An iterative calibration procedure based on a self-consistent maximum-likelihood statistical model is introduced which considerably reduces the scatter in the log D(n)-log sigma relation for estimating relative distances of elliptical galaxies. An optimal search radius is determined and used to study the dependence of the mean group virial mass on search radius. It is found that near the optimal value of the search radius, the mean virial mass of groups also has a local maximum which, in contrast to the calibration of Lynden-Bell et al. (1988), is in reasonable agreement with estimates of the known masses of groups of galaxies. These results give an independent physical basis for interpreting the consequences of the otherwise purely statistical optimization procedure given here.

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