Hydrodynamic interpretation of the equations of motion of a heavy gyroscope
Abstract
Greenhill (1879) showed that the Euler equations of a solid rotating about a fixed point describe the vortex flows of an ideal incompressible fluid within an ellipsoid on a class of spatially linear velocity fields. In the present paper, Greenhill's result is extended to the case of motion in a uniform field of forces. It is shown that the EulerPoisson equations of motion of a heavy gyroscope describe the convective flows of an ideal incompressible slightly laminated fluid within an ellipsoid on a class of spatially linear velocity and temperature fields.
 Publication:

Akademiia Nauk SSSR Fizika Atmosfery i Okeana
 Pub Date:
 February 1977
 Bibcode:
 1977FizAO..13..201D
 Keywords:

 Boussinesq Approximation;
 Euler Equations Of Motion;
 Gyroscopes;
 Hydrodynamic Equations;
 Incompressible Fluids;
 Ideal Fluids;
 Matrices (Mathematics);
 Rotating Bodies;
 Temperature Distribution;
 Vectors (Mathematics);
 Fluid Mechanics and Heat Transfer