Stability of the uniform rotations of a heavy gyrostat about the main axis
Abstract
The Arnold-Moser theorem is used to study the stability of the uniform rotations of a heavy gyrostat about the main axis. It is shown that uniform rotations are stable for all values of parameters of the region in which the necessary conditions of stability are satisfied - except for a certain manifold of smaller dimensionality.
- Publication:
-
Prikladnaia Matematika i Mekhanika
- Pub Date:
- December 1980
- Bibcode:
- 1980PriMM..44..994K
- Keywords:
-
- Gyroscopic Stability;
- Hamiltonian Functions;
- Rotary Gyroscopes;
- Steady State;
- Angular Velocity;
- Equations Of Motion;
- Liapunov Functions;
- Moments Of Inertia;
- Perturbation Theory;
- Astrodynamics