Abstract

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 MM_* and the general kinematic parameter SK=KVrot2+σ2S_K = \sqrt{K V_{rot}^2 + \sigma^2} that combines rotation velocity VrotV_{rot} and velocity dispersion σ\sigma. We show that the logMlogSK\log M_* - \log S_K 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 (logMlogVrot\log M_* - \log V_{rot}) for late types or the Faber-Jackson relation (logMlogσ\log M_* - \log\sigma) for early types; and (4)~has scatter that is only weakly sensitive to the value of KK, with minimum scatter for KK in the range 0.4 and 0.7. We compare SKS_K to the aperture second moment (the `aperture velocity dispersion') measured from the integrated spectrum within a 3-arcsecond radius aperture (σ3\sigma_{3^{\prime\prime}}). We find that while SKS_{K} and σ3\sigma_{3^{\prime\prime}} are in general tightly correlated, the logMlogSK\log M_* - \log S_K relation has less scatter than the logMlogσ3\log M_* - \log \sigma_{3^{\prime\prime}} relation.Comment: 14 pages, 8 figures, Accepted 2019 May 22. Received 2019 May 18; in original form 2019 January

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