An analytical control law for reorienting a spacecraft that is based on Lyapunov stability theory is discussed. This method is chosen to reduce nutation by minimizing the kinetic energy of the spacecraft. Previous studies of Lyapunov-based control employ weighting coefficients to influence the steady state time; however none of the studies explicitly suggest how to select these values. This paper develops a method to determine the weighting coefficients in terms of known parameters and desired states of the system. The resulting analytical control solution is validated with previous published results, and then used to investigate spacecraft sensitivity to tank location.