Milgrom Relation Models for Spiral Galaxies from Two-dimensional Velocity Maps

Using two-dimensional velocity maps and I-band photometry, we have created mass models of 40 spiral galaxies using the Milgrom relation (the basis of modified Newtonian dynamics) to complement previous work. A Bayesian technique is employed to compare several different dark matter halo models to Milgrom and Newtonian models. Pseudo-isothermal dark matter halos provide the best statistical fits to the data in a majority of cases, while the Milgrom relation generally provides good fits as well. We also find that Milgrom models give mass-to-light ratios that roughly correlate with galaxy color, as predicted by stellar population models. A subsample of galaxies in the Hydra cluster follows a tight relation between mass-to-light ratio and color, but one that is significantly different from relations found in previous studies. Ruling out the Milgrom relation with rotational kinematics is difficult due to systematic uncertainties in the observations, as well as underlying model assumptions. We discuss in detail two galaxies for which the Milgrom relation appears to fail and find that relaxing the assumption of constant stellar mass-to-light ratio can maintain Milgrom models' viability.