The study analyzes the use of technological methods of attitude control of an engineering object inside possible environments of the earth and outer cosmic space. The effects of independent power sources including mechanical, aerodynamic, reactive ones on the object are neglected. The proposed method for the orientation controlling and monitoring of an object in space uses the accumulated kinetic energy by counter rotating paired flywheels as well as a gyroscopic effect. The assessment of the limiting power dynamic characteristics of flywheels is carried out.