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We present an approach to measure the Milky Way (MW) potential using theangular accelerations of stars in aggregate as measured by astrometric surveyslike Gaia. Accelerations directly probe the gradient of the MW potential, asopposed to indirect methods using e.g. stellar velocities. We show thatend-of-mission Gaia stellar acceleration data may be used to measure thepotential of the MW disk at approximately 3$\sigma$ significance and, if recentmeasurements of the solar acceleration are included, the local dark matterdensity at ~2$\sigma$ significance. Since the significance of detection scalessteeply as $t^{5/2}$ for observing time $t$, future surveys that includeangular accelerations in the astrometric solutions may be combined with Gaia toprecisely measure the local dark matter density and shape of the densityprofile.

The Galactic potential and dark matter density from angular stellar accelerations