Abstract
The problem of axisymmetric rigid body angular velocity vector maneuvering in the body-fixed frame is considered. Control actuators are provided by two pairs of reactive jets with constant torque directions, and with possibly unequal jet characteristics. The transfer time from the initial to endpoint in the body-fixed frame of angular velocities is not specified. Both the initial and endpoint are arbitrary and given in advance. The problem is solved in a closed analytical form, using sufficient conditions of optimality.
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Ioslovich, I. Optimal Control of Rigid Body Rotation Around Center of Mass. Journal of Dynamical and Control Systems 9, 549–562 (2003). https://doi.org/10.1023/A:1025648419125
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DOI: https://doi.org/10.1023/A:1025648419125