The central velocity dispersion in elliptical and lenticular galaxies as an extragalactic distance indicator

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Distance, Elliptical Galaxies, Galactic Structure, Lenticular Bodies, Velocity Distribution, Astronomical Photometry, Brightness, Color, Dispersion, Magnitude, Red Shift, Spiral Galaxies, Virgo Galactic Cluster, Wavelengths

Scientific paper

The Faber-Jackson relation between absolute magnitude MT0 and central velocity dispersion συ is reexamined for a sample of 157 normal, noninteracting galaxies, 82 ellipticals (T = -5, -4), and 75 lenticulars (T = - 3, - 2, -1). The values of συ are weighted means from various sources reduced to a uniform system (Table 1).
Absolute magnitudes are calculated from corrected apparent magnitudes BT0 and distance moduli μ0 which are weighted means of a variety of independent determinations (from optical tertiary indicators and from revised versions of the Tully-Fisher relation) for spirals associated with ellipticals or lenticulars in our sample; group distance moduli derived from redshifts were also used in some cases. The slope and zero point of the one-parameter F-J relation, MT0 (log συ), were derived by Jefferys's generalized least-squares technique for differentsamples (E vs. L, lower vs. higher redshifts, Virgo cluster).
The best-fit slope (8-9) is generally less than the canonical value (10) and varies slightly with wavelength from ∼8.5 in the U, B, and V bands to ∼10 in the infrared (Appendix A). The zero point is not significantly different for the E and L classes in the red and infrared, but lenticulars are ∼0.2-0.3 mag brighter in the U and B bands. Alternative expressions in the B and V bands are approximately
-MT0(B) =A+9(logσυ-2.3),
with A = 19.4 (E) or 19.6 (L), and, more precisely,
-MT0(V) = 20.35+8.5(logσυ-2.3)
for both classes. These expressions give absolute magnitudes with mean errors of∼ 0.5 mag (E) and ∼0.6-0.7 mag (L). The effects of second-order parameters including color index, surface brightness, and apparent axis ratio are investigated. Small but significant effects of the first two are indicated. Generalized expressions of the F-J relation including such terms are given. Weighted mean distance moduli in the range 29 ≤ μw0 (συ) ≤ 35 calculated by one-, two-, and three-parameter expressions are given for the 157 galaxies in our sample. The mean errors of these distance moduli from all sources are of the order ∼0.5 mag (E) and ∼0.6 mag (L), depending on the precision of the input parameters. Comparison of the distance moduli derived from συ for E, L galaxies and from other indicators for spirals in the same groups indicates no appreciable systematic scale difference in the range 29 < μ0 lt; 35 and, possibly, 24 < μ0 < 35.

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