Scaling relations of mass, velocity, and radius for disk galaxies.
Abstract (from CDS):
I demonstrate four tight correlations of total baryonic mass, velocity, and radius for a set of nearby disk galaxies: the mass-velocity relation Mt∝V4; the mass-radius relation Mt∝R2; the radius-velocity relation R∝V2; and the mass-radius-velocity relation Mt∝RV2. The mass-velocity relation is the familiar Baryonic Tully-Fisher relation, 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 second, this acceleration is a constant that 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.