This paper deals with the performance of liquid-filled dampers for nutation damping of a spacecraft that uses a momentum wheel for attitude stabilization. The damper coupling factor is analyzed for toroidal and rectangular dampers completely filled with liquid, and for the same dampers containing a void, or bubble. Further analysis is made for a U-tube type of resonantly coupled liquid damper. In each case, the damper performance is evaluated relative to the completely filled toroidal liquid damper, illustrating the design regions wherein the damper effectiveness may be substantially improved by the presence of a void, or bubble, in the fluid path. Analysis of the performance of the U-tube resonant damper shows the potential for large gains in coupling factor, and increasingly better time-constant performance (the time constant being inversely proportional to the coupling factor).