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We present measurements of positions and relative proper motions in the 30Doradus region of the Large Magellanic Cloud (LMC). We detail the constructionof a single-epoch astrometric reference frame, based on specially-designedobservations obtained with the two main imaging instruments ACS/WFC andWFC3/UVIS onboard the Hubble Space Telescope (HST). Internal comparisonsindicate a sub milli-arc-second (mas) precision in the positions and thepresence of semi-periodic systematics with a mean amplitude of ~0.8 mas. Wecombined these observations with numerous archival images taken with WFPC2 andspanning 17 years. The precision of the resulting proper motions forwell-measured stars around the massive cluster R 136 can be as good as ~20microarcsec/yr, although the true accuracy of proper motions is generally lowerdue to the residual systematic errors. The observed proper-motion dispersionfor our highest-quality measurements is ~0.1 mas/yr. Our catalog of positionsand proper motions contains 86,590 stars down to V~25 and over a total area of~70 square arcmin. We examined the proper motions of 105 relatively brightstars and identified a total of 6 candidate runaway stars. We are able totentatively confirm the runaway status of star VFTS 285, consistent with thefindings from line-of-sight velocities, and to show that this star has likelybeen ejected from R 136. This study demonstrates that with HST it is nowpossible to reliably measure proper motions of individual stars in the nearestdwarf galaxies such as the LMC.

HST astrometry in the 30 Doradus region: measuring proper motions of individual stars in the Large Magellanic Cloud