Sizing from the Smallest Scales: The Mass of the Milky Way

M. K. Rodriguez Wimberly, M. C. Cooper, D. C. Baxter, M. Boylan-Kolchin, J. S. Bullock, S. P. Fillingham, A. P. Ji, L. V. Sales, J. D. Simon

Published 2021-09-01Version 1

As the Milky Way and its satellite system become more entrenched in near field cosmology efforts, the need for an accurate estimate of the Milky Way dark matter halos mass is increasingly critical. With the second and early third data releases of stellar proper motions from $Gaia$, several groups calculated full 6D phase-space information for the population of Milky Way satellite galaxies. Utilizing these data in comparison to subhalo properties drawn from the Phat ELVIS simulations, we constrain the Milky Way dark matter halo mass to be $\sim 1-1.2 \times 10^{12}$ M$_{\odot}$. We find that the kinematics of subhalos drawn from more- or less-massive hosts (i.e. $> 1.2 \times 10^{12}$ M$_{\odot}$ or $< 10^{12}$ M$_{\odot}$) are inconsistent with the observed velocities of the Milky Way satellites. The preferred host halo mass for the Milky Way is largely insensitive to the exclusion of systems associated the Large Magellanic Cloud, changes in galaxy formation thresholds, and variations in observational completeness. As more Milky Way satellites are discovered, their velocities (radial, tangential, and total) plus Galactocentric distances will provide further insight into the mass of the Milky Way dark matter halo.