The stability of certain Riemann ellipsoids
Abstract
The stability of the S-type Riemann ellipsoids belonging to the lower boundary self-conjugate sequence is analyzed using an exact formulation. The stability analysis is carried out on the basis of the Routh theorem assuming ellipsoidal perturbations. It is shown that the ellipsoids are stable, without any constraints imposed on the oscillation frequency.
- Publication:
-
Prikladnaia Mekhanika
- Pub Date:
- March 1983
- Bibcode:
- 1983PriM...19..112D
- Keywords:
-
- Ellipsoids;
- Flow Stability;
- Riemann Manifold;
- Rotating Liquids;
- Angular Velocity;
- Boundary Value Problems;
- Fluid Mechanics and Heat Transfer