We use data from the Sydney-AAO Multi-object Integral-field spectroscopy
(SAMI) Galaxy Survey to study the dynamical scaling relation between galaxy
stellar mass M∗ and the general kinematic parameter SK=KVrot2+σ2 that combines rotation velocity Vrot and velocity dispersion
σ. We show that the logM∗−logSK relation: (1)~is linear above
limits set by properties of the samples and observations; (2)~has slightly
different slope when derived from stellar or gas kinematic measurements;
(3)~applies to both early-type and late-type galaxies and has smaller scatter
than either the Tully-Fisher relation (logM∗−logVrot) for late
types or the Faber-Jackson relation (logM∗−logσ) for early types;
and (4)~has scatter that is only weakly sensitive to the value of K, with
minimum scatter for K in the range 0.4 and 0.7. We compare SK to the
aperture second moment (the `aperture velocity dispersion') measured from the
integrated spectrum within a 3-arcsecond radius aperture
(σ3′′). We find that while SK and
σ3′′ are in general tightly correlated, the logM∗−logSK relation has less scatter than the logM∗−logσ3′′ relation.Comment: 14 pages, 8 figures, Accepted 2019 May 22. Received 2019 May 18; in
original form 2019 January