Abstract: Recent advancements in extreme-precision spectroscopy now enable us to measure the minute accelerations (about 10 cm/s/decade) experienced by stars that live within the gravitational potential of our Galaxy by measuring their radial velocities (RVs). We are now able to perform time-series, extreme-precision observations of stars to measure Galactic accelerations, which provides the most direct probe of the mass distribution in the Galaxy. I present an analysis of empirically “quiet” RV stars observed with ESPRESSO, discussing how these sources may supplement existing methods of measuring Galactic acceleration such as pulsar timing, in addition to exploring the radial velocity technique’s role in other domains of astronomy such as exoplanet research.