Mathematical aspects of modeling motions of a gyrostat with a fixed point.
G. V. Gorr, A. A. Ilyukhin, A. M. Kovalev
The report focuses on the study of mathematical approaches in modeling of complex mechanical systems class "gyrostat". Considered two problems of motion of a gyrostat with a fixed point. The first task deals with the modeling of motion of a gyrostat with constant virostaticski point in the gravity field. For it illustrates the methods of numerical integration of equations of motions using the first integrals. The second task is characterized by a variable gyrostatic momentum, due to the uneven rotation of the carried bodies. This method of research software (simulated) movements based on the theory of invariant ratios of no autonomous differential equations. Keywords: gyrostat, differential equations, integral energy.
