A refined Tully-Fisher relationship and a new scaling law for galaxy discs

Details A refined Tully-Fisher relationship and a new scaling law for galaxy discs A refined Tully-Fisher relationship and a new scaling law for galaxy discs

2009-08-05

arxiv.org/abs/0908.0654v2

Astronomy and Astrophysics

Astrophysics

Galaxy Astrophysics

29 pages, three figures. The previous submission which this version replaces contained seriously misleading and repeated use o

Scientific paper

We show how the hypothesis that galaxy discs conform to self-similar dynamics leads to an objective identification, in the data, of an annular region of the optical disc which is such that, corresponding to the classical Tully-Fisher scaling law defined on the exterior annular boundary, there is a similar scaling law defined on the interior annular boundary. This result is confirmed at the level of statistical certainty over several large ORC samples. Furthermore, the same analysis provides insight into the uncertainties associated with the best way of defining Vmax, the rotation velocity used for the Tully-Fisher scaling law and Rmax, the galaxy radius at which Vmax is measured. Finally, as a direct consequence, we are led to a refined Tully-Fisher law which is largely insensitive to the means by which a galaxy's rotation velocity is defined.

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