Generalized motion equations and its solutions. (Q2734674)

The generalized Euler-Poisson equations which were obtained by \textit{A. Ya. Savchenko} et al. [Mat. Model. 7, No. 5, 99 (1995; Zbl 1002.35507)] are considered. The characteristic property of these equations is represented as the fact that the inertia tensor of the body is variable. For the considered equations the problem on conditions for the existence of the first integral of Euler type is solved. On the base of the determined conditions, the two-parametric solution of the motion equations is investigated.