The unique astrometric capability of GRAVITY has already resulted in a serie of transformational results, from the study of the Galactic Center to the characterization of exoplanets. Nonetheless, these breakthroughs have not yet reached the ultimate noise limits of interferometric astrometry, and are currently limited by the systematics of the instrument. As part of the GRAVITY+ project, a major goal is to keep pushing the performances down to the precision of 10-30µas. In this talk, we present the on-going analysis of the precision limits of GRAVITY astrometry, and the potential solutions envisioned to overcome its systematics.
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