Abstract
It is a classical result of Euler that the rotation of a torque-free three-dimensional rigid body about the short or the long axis is stable, whereas the rotation about the middle axis is unstable. This result is generalized to the case of a multidimensional body.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1419-1443 |
| Number of pages | 25 |
| Journal | Nonlinearity |
| Volume | 27 |
| Issue number | 6 |
| DOIs | |
| State | Published - Jun 2014 |
| Externally published | Yes |
Keywords
- bi-Hamiltonian structures
- free rigid body
- multidimensional rigid body
- stability
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics