Milky Way Mass Through Escape Velocity Curve from LAMOST K Giants

TL;DR

This study measures the Milky Way's escape velocity curve using high-velocity K giants from LAMOST and Gaia data, leading to a refined estimate of the galaxy's total mass and dark matter halo properties.

Contribution

First direct measurement of a continuous escape velocity curve extending to 50 kpc, improving Milky Way mass estimates with reduced uncertainty.

Findings

Escape velocity at solar position: 524 km/s

Milky Way total mass: ~0.9 x 10^12 solar masses

Consistent with lower mass dark matter halo models

Abstract

Escape velocity has long been used to constrain the mass of the Dark Matter (DM) halo in the Milky Way (MW). Here we present a study of the escape velocity curve using a sample of high-velocity K giants with full 6D phase-space information and relatively good quality, selected from LAMOST DR8 and cross-matched with Gaia DR3. To expand the high-velocity stars to larger distances, we used radius-dependent criteria of total velocity, that is, $v_{\rm GC}>300\;\rm{km s^{-1}}$ for the solar neighborhood; $v_{\rm GC}>v_{\rm min}\sim0.6\times v_{\rm esc}(r_{\rm GC})$ for outer region. We also selected halo stars based on $v_{\phi}-{\rm [Fe/H]}$ information to ensure that the sample is isotropic. We modeled the velocity distribution with traditional power-law models to determine the escape velocity in each radial bin. For the first time, we have directly measured a relatively continuous escape velocity curve that can extend to Galactocentric radii of $\sim 50$ kpc, finding a decline in agreement with previous studies. The escape velocity at the solar position yielded by our measurements is $523.74^{+12.83}_{-13.47}\;\rm{km s^{-1}}$. Combined with the local circular velocity, we estimated the mass of the MW assuming a Navarro-Frenk-White DM profile, which resulted in a total mass of $M_{200,\;\rm{total}}=0.90_{-0.07}^{+0.06}\times 10^{12}\;M_{\odot}$, with a concentration of $c_{200}=13.47_{-1.70}^{+1.85}$. The small uncertainty implies that including the escape velocities beyond the solar neighborhood can result in a more precise mass estimate. Our derived MW mass is consistent with some recent studies using the escape velocity as well as other tracers, which may support a lower mass of the DM halo than in the past.