About the realization of monoaxial and triaxial orientations of composition body of two-body system

In the work the problem about monoaxial and triaxial orientations of a two-body system concerning Kenigov and random not inertial coordinate system is put. The solution is gained by construction of active control which is realized by a feedback principle. Stabilizing controls are synthesized and conditions under which the desirable asymptotically stable orientation is possible. The assigned task is solved on the basis of modified method of Lyupanov's functions, which allows to use Lyupanov's functions with sign fixed derivatives.