Scaling Relations of Mass, Velocity and Radius for Disk Galaxies
  I demonstrate four tight correlations of total baryonic mass, velocity and
radius for a set of nearby disk galaxies: the Mass-Velocity relation $ Mt
\propto V^4$; the Mass-Radius relation $ Mt \propto R^2$; the Radius-Velocity
relation $R \propto V^2$; and the Mass-Radius-Velocity relation $ Mt \propto R
V^2$. The Mass-Velocity relation is the familiar Baryonic Tully-Fisher
relation(BTFR) and versions of the other three relations, using magnitude
rather than baryonic mass, are also well known. These four observed
correlations follow from a pair of more fundamental relations. First, the
centripetal acceleration at the edge of the stellar disk is proportional to the
acceleration predicted by Newtonian physics and secondly, this acceleration is
a constant which is related to Milgrom's constant. The two primary relations
can be manipulated algebraically to generate the four observed correlations and
allow little room for dark matter inside the radius of the stellar disk. The
primary relations do not explain the velocity of the outer gaseous disks of
spiral galaxies which do not trace the Newtonian gravitational field of the
observed matter.
