A Lower Limit on the Mass of Our Galaxy from the H3 Survey
  The timing argument provides a lower limit on the mass of the Milky Way. We
find, using a sample of 32 stars at $R > 60$ kpc drawn from the H3
Spectroscopic Survey and mock catalogs created from published numerical
simulations, that M$_{200} > 0.91\times 10^{12}$ M$_\odot$ with 90% confidence.
We recommend using this limit to refine the allowed prior mass range in more
complex and sophisticated statistical treatments of Milky Way dynamics. The use
of such a prior would have significantly reduced many previously published
uncertainty ranges. Our analysis suggests that the most likely value of
M$_{200}$ is $\sim 1.4 \times 10^{12}$ M$_\odot$, but establishing this as the
Milky Way mass requires a larger sample of outer halo stars and a more complete
analysis of the inner halo stars in H3. The imminent growth in the sample of
outer halo stars due to ongoing and planned surveys will make this possible.
