Acceleration in Modified Gravity (MOG) and the Mass-Discrepancy Baryonic
  Relation
  The equation of motion in the generally covariant modified gravity (MOG)
theory leads for weak gravitational fields and the non-relativistic limit to a
modification of the Newtonian gravitational acceleration law, expressed in
terms of two parameters $\alpha$ and $\mu$. The parameter $\alpha$ determines
the strength of the gravitational field and $\mu$ is the effective mass of the
vector field $\phi_\mu$, coupled with gravitational strength to baryonic
matter. The MOG acceleration law for weak field gravitation and
non-relativistic particles has been demonstrated to fit a wide range of
galaxies, galaxy clusters and the Bullet Cluster and Train Wreck Cluster
mergers. We demonstrate that the MOG acceleration law for a point mass source
is in agreement with the McGaugh et al., correlation between the radial
acceleration traced by galaxy rotation curves and the distribution of baryonic
matter for the SPARC sample of 153 rotationally supported spiral and irregular
galaxies.
