The ability of a moving-mass trajectory control system to control a spinning vehicle is investigated. The nonlinear equations of system motion with two internal moving elements are provided, and the influence to the system of moving-mass movements with respect to the vehicle's body is described. For the complexity of the nonlinear moving-mass control system, the effectiveness of each element of governing equations is analyzed to indicate the controllability of system in theory. For the parameter search capacity of genetic algorithm, the hybrid trajectory control scheme, which calculates the desired offset of the center of mass of system to realize the corrections of the vehicle's trajectory, is produced to improve the dynamic performance of the system. A nonlinear eight-degree-of-freedom simulation of a typical mission profile demonstrates the ability of the hybrid controller to effectively control the vehicle's trajectory
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