An Explicit Radial Velocity Relation for Galaxy Rotation Curves

Source abstract

Abstract An explicit radial velocity relation is evaluated numerically against a large sample of disk galaxies using directly measured rotation curve data. For each radial sample, the predicted circular velocity is computed from the baryonic velocity and radial distance using a fixed algebraic expression with explicitly defined numerical constants applied uniformly across all galaxies. Agreement between predicted and observed velocities is quantified using root mean squared error, Pearson correlation, and Lin’s concordance correlation coefficient computed directly from the paired numerical values across the full dataset [1,2].