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High-precision astrometry throughout the Local Group is a unique capabilityof the Hubble Space Telescope (HST), with potential for transformative science,including constraining the nature of dark matter, probing the epoch ofreionization, and understanding key physics of galaxy evolution. While Gaiawill provide unparalleled astrometric precision for bright stars in the innerhalo of the Milky Way, HST is the only current mission capable of measuringaccurate proper motions for systems at greater distances (> 80 kpc), whichrepresents the vast majority of galaxies in the Local Group. The nextgeneration of proper-motion measurements will require long time baselines,spanning many years to decades and possibly multiple telescopes, combining HSTwith the James Webb Space Telescope (JWST) or the Wide-Field Infrared SurveyTelescope (WFIRST). However, the current HST allocation process is notconducive to such multi-cycle/multi-mission science, which will bear fruitprimarily over many years. We propose an HST astrometry initiative to enablelong-time-baseline, multi-mission science, which we suggest could be used toprovide comprehensive kinematic measurements of all dwarf galaxies and highsurface-density stellar streams in the Local Group with HST's Advanced Camerafor Surveys (ACS) or Wide Field Camera 3 (WFC3). Such an initiative not onlywould produce forefront scientific results within the next 5 years of HST'slife, but also would serve as a critical anchor point for future missions toobtain unprecedented astrometric accuracy, ensuring that HST leaves a uniqueand lasting legacy for decades to come.

A Hubble Astrometry Initiative: Laying the Foundation for the Next-Generation Proper-Motion Survey of the Local Group