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We present initial results from a new high-contrast imaging program dedicatedto stars that exhibit long-term Doppler radial velocity accelerations (or"trends"). The goal of the TRENDS (TaRgetting bENchmark-objects with DopplerSpectroscopy and) imaging survey is to directly detect and study the companionsresponsible for accelerating their host star. In this first paper of theseries, we report the discovery of low-mass stellar companions orbiting HD53665, HD 68017, and HD 71881 using NIRC2 adaptive optics (AO) observations atKeck. Follow-up imaging demonstrates association through common proper-motion.These co-moving companions have red colors with estimated spectral-types ofK7--M0, M5, and M3--M4 respectively. We determine a firm lower-limit to theirmass from Doppler and astrometric measurements. In the near future, it will bepossible to construct three-dimensional orbits and calculate the dynamical massof HD 68017 B and possibly HD 71881 B. We already detect astrometric orbitalmotion of HD 68017 B, which has a projected separation of 13.0 AU. Eachcompanion is amenable to AO-assisted direct spectroscopy. Further, eachcompanion orbits a solar-type star, making it possible to infer metallicity andage from the primary. Such benchmark objects are essential for testingtheoretical models of cool dwarf atmospheres.

The TRENDS High-Contrast Imaging Survey. I. Three Benchmark M-dwarfs Orbiting Solar-type Stars