Analytical Quasi-Optimal Solution of the Slew Problem for an Axially Symmetric Rigid Body with a Combined Performance Index

The results of the analytical and numerical solution of the problem of controlling the rotational motion of an axially symmetric rigid body with a combined performance index of the control process are presented using quaternions. The performance index includes the duration of the control, impulse of the squared angular momentum magnitude, and impulse of the magnitude of the control torque applied to the body. The control must take an axisymmetric rigid body from a state of rest to another state of rest.