spherical hydrodynamic suspension, viscous incompressible fluid, hybrid dynamic systems, frequency stability criterion, boundary value problems.

The stability of a spherical hydrodynamic suspension is investigated with full consideration of the dependence of the fluid velocity distribution profile on the radial coordinate in the supporting layer. A suspension with a light internal body is stable over a large range of changes in relative eccentricity, and when the overloads change by an amount of about a dozen accelerations of free fall, it moves from one equilibrium state to another. Suspension with a heavy internal body is unstable.

Andreichenko Dmitry Konstantinovich, Doctor of Physical and Mathematical Sciences, Professor, Saratov State University, Saratov, Russia

Andreichenko Konstantin Petrovich, Doctor of Technical Sciences, Professor, Yuri Gagarin State Technical University of Saratov, Saratov, Russia

Melnichuk Dmitry Vadimovich, Assistant Professor, Saratov State University, Saratov, Russia