This work carried out high resolution numerical calculations of gas interacting with binaries on a wide range of possible binary orbits. The response of the binary orbit was measured over this range providing a way to model how the binary grows in mass and how its orbit decays, expands, or becomes more or less eccentric as it interacts with gas. A major result for this work is that binaries tend to be driven to a specific orbital eccentricity, which may be detectable in present (and future) observations of populations of binary systems. The numerical calculations also allowed a measure of the rate at which gas falls onto each component of the binary, hence providing a way to simulate the modulation of light coming from putative binary black hole systems as they accrete gas. The former, binary orbital response, was used to model populations and compare to data on binary star populations. The latter, simulated accretion rates, were paired with other models for emission from accreting binaries to model some observed systems. Results of the numerical calculations are continuing to be exploited for rather study and modelling. The work was disseminated in six published papers as well as 10 scientific talks.