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The LCO/Palomar 10,000 km s − 1 Cluster Survey. I. Properties of the Tully-Fisher Relation 1

The ﬁrst results from a Tully-Fisher (TF) survey of cluster galaxies are presented. The galaxies are drawn from ﬁfteen Abell clusters that lie in the redshift range ∼ 9000–12,000 km s − 1 and are distributed uniformly around the celestial sky. The data set consists of R -band CCD photometry and long-slit H α spectroscopy. The rotation curves (RCs) are characterized by two parameters, a turnover radius r t and an asymptotic velocity v a , while the surface brightness proﬁles are characterized in terms of an eﬀective exponential surface brightness I e and scale length r e . The TF scatter is minimized when the rotation velocity is measured at r = (2 . 0 ± 0 . 2) r e ; a signiﬁcantly larger scatter results when the rotation velocity is evaluated at > ∼ 3 or < ∼ 1 . 5 scale lengths. This eﬀect demonstrates that RCs do not have a universal form, speciﬁed only by luminosity, as suggested by Persic, Salucci, & Stel. The scatter minimum at r = 2 r e is interpreted in terms of a thin stellar disk plus spherical dark halo mass model. Variations in halo mass and size at ﬁxed disk mass and size can produce extra TF scatter at arbitrary radii, but no additional scatter at the special radius r = 2 r e provided ρ h ∝ M − 0 . 7 h . In contrast to previous studies, a modest but statistically signiﬁcant surface-brightness dependence of the TF relation is found, v ∝ L 0 . 28 I 0 . 14 e . This indicates a stronger parallel between the TF relation and the corresponding Fundamental Plane relations of elliptical galaxies than has previously been recognized. The scatter of the optimized TF