Algorithmic problems of the flying vehicle motion mathematical modeling

The problems of mathematical model creation for space vehicle motion and elaboration of the corresponding calculating algorithms for modern computers on the basis of N.E. Zhukovsky’s approach are considered. It is taken into account that these models must reflect the physical peculiarities and comply with possibilities of the calculating algorithms structuring. The suggested ways for solving these problems are based on applying the differential equations in Euler-Lagrange form and Boltzmann three-index symbols calculation using the unified population of matrices equivalent to quaternion ones.