Analytical solution of the optimal attitude maneuver problem with a combined objective functional for a rigid body in the class of conical motions

Abstract

The optimal attitude maneuver control problem without control constraints is studied in the quaternion statement for a rigid body with a spherical mass distribution. The performance criterion is given by a functional combining the time and energy used for the attitude maneuver. A new analytical solution in the class of conical motions is obtained for this problem on the basis of the Pontryagin maximum principle.