Acceleration Relations in the Milky Way as Differentiators of Modified
  Gravity Theories
  The dynamical mass of galaxies and the Newtonian acceleration generated from
the baryons have been found to be strongly correlated. This correlation is
known as 'Mass-Discrepancy Acceleration Relation' (MDAR). Further
investigations have revealed a tighter relation - 'Radial Acceleration
Relation' (RAR) - between the observed total acceleration and the (Newtonian)
acceleration produced by the baryons. So far modified gravity theories have
remained more successful than $\Lambda$CDM to explain these relations. However,
a recent investigation has pointed out that, when RAR is expressed as a
difference between the observed acceleration and the expected Newtonian
acceleration due to baryons (which has been called the 'Halo acceleration
relation or HAR'), it provides a stronger test for modified gravity theories
and dark matter hypothesis. Extending our previous work \citep{kt2018}, we
present a case study of modified gravity theories, in particular Weyl conformal
gravity and Modified Newtonian Dynamics (MOND), using recent inferred
acceleration data for the Milky Way. We investigate how well these theories of
gravity and the RAR scaling law can explain the current observation.
