Fitting the radial acceleration relation to individual SPARC galaxies
  Galaxies follow a tight radial acceleration relation (RAR): the acceleration
observed at every radius correlates with that expected from the distribution of
baryons. We use the Markov Chain Monte Carlo method to fit the mean RAR to 175
individual galaxies in the SPARC database, marginalizing over stellar
mass-to-light ratio ($\Upsilon_{\star}$), galaxy distance, and disk
inclination. Acceptable fits with astrophysically reasonable parameters are
found for the vast majority of galaxies. The residuals around these fits have
an rms scatter of only 0.057 dex ($\sim$13$\%$). This is in agreement with the
predictions of modified Newtonian dynamics (MOND). We further consider a
generalized version of the RAR that, unlike MOND, permits galaxy-to-galaxy
variation in the critical acceleration scale. The fits are not improved with
this additional freedom: there is no credible indication of variation in the
critical acceleration scale. The data are consistent with the action of a
single effective force law. The apparent universality of the acceleration scale
and the small residual scatter are key to understanding galaxies.
