About
motion of non-symmetric gyrostat in a resisting medium
D.D.
Leshchenko, S.G. Suksova
Odessa State Academy of Civil Engineering and Architecture
4, Didrikhson str., Odessa 65029, Ukraine
The motion of a
closed to dynamically symmetric rigid body about a center of mass is
considered. External resistance and spheroidal cavity containing a high
viscosity fluid are presented. The moment of the resistive forces is assumed to
be a linear function of the angular velocity. The system obtained after
averaging with respect to Euler-Poinsot motion is analyzed. It is equivalent to
the system of Volterra equations and describes dynamics of conflict between two
species of animals. The first integral for this system is defined and
investigated, phase trajectories are constructed.
