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2017ApJ...836..151S
Scaling Relations of Mass, Velocity, and Radius for Disk Galaxies
Schulz, Earl
Abstract. I demonstrate four tight correlations of total baryonic mass,
velocity, and radius for a set of nearby disk galaxies: the massvelocity
relation {M}_{{t_}} is proportional to {V}^4^; the massradius relation
{M}_{{t_}} is proportional to {R}^2^; the radiusvelocity relation R is
proportional to {V}^2^; and the massradiusvelocity relation {M}_{{t_}}
is proportional to {{RV}}^2^. The massvelocity relation is the familiar
Baryonic TullyFisher 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.
Key words: galaxies: fundamental parameters, galaxies: kinematics and
dynamics, gravitation
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