We present a hydrodynamic, deterministic polishing tool (HyDRa) based on the fluid-jet polishing (FJP) principle. In contrast to other FJP methods, the polishing flux is accelerated with pressurized air and then expelled at high velocity, forming a radial, grazing abrasive pattern that exerts no net force of the tool on the surface to be polished, since the vacuum and thrust forces that are created at the tool's output balance each other out. The grazing effect minimizes microroughness, making it appropriate for finishing high-quality surfaces. The principle of operation as well as polishing results of a series of small etalon plates are presented.