Forming attainability sets in control of kinetic moment of rotating asymmetric solid body (special cases)

The controlled motion of the vector of the kinetic moment (KMV) of an asymmetric rigid body rotating about the center of mass is examined in the case where the control moment is directed along an axis fixed in the body. Attention is given to the case when this axis and the initial value of the KMV lie in a special plane-P, containing nonperiodic trajectories of the Euler equations of the free rotation of the body. In this case the controlled motion of the KMV occurs in the P-plane and is described by a two-dimensional nonlinear autonomus controlled system. Attainability manifolds for this system are constructed.