Applications of mechanics are inseparably linked with many different theories such as, e.g., that of stability and system one. This book is unique in its emphasis on developing the following topics: 1. axiomatics of Newtonian mechanics where all known mechanical systems are treated from the general viewpoint (namely, a material particle, a rigid body and a continuum); 2. construction of control forces ensuring preplanned behavior of finite-dimensional mechanical systems and their robustness; 3. satellite attitude control; 4. precession theory of time-varying gyro systems; 5. abstract...

There is given the complete exposition of a mathematical formalism and the working tools of mechanics of multibody systems based on methodology of the system analysis. Essentially in a new fashion the problem of designing of the differential equations of constraints of a general kind of multibody systems with environment bodies is represented. Two algorithms of direct analytical designing of a reverse matrix of kinetic energy of system are developed, passing stages of designing of the matrix and its subsequent reversing. The created algorithms are most numerically economic among known....