We have used the Palomar Testbed Interferometer to perform very high precision differential astrometry on the 025 separation binary star HD 171779. In 70 minutes of observation, we achieve a measurement uncertainty of ≈9 μas in one axis, consistent with theoretical expectations. Night-to-night repeatability over four nights is at the level of 16 μas. This method of very narrow angle astrometry may be extremely useful for searching for planets with masses as small as 0.5MJ around a previously neglected class of stars—so-called speckle binaries. It will also provide measurements of stellar parameters such as masses and distances, useful for constraining stellar models at the 10-3 level.
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