On the stability of the permanent rotations of an asymmetric heavy rigid body (Q1062479)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the stability of the permanent rotations of an asymmetric heavy rigid body |
scientific article; zbMATH DE number 3913737
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the stability of the permanent rotations of an asymmetric heavy rigid body |
scientific article; zbMATH DE number 3913737 |
Statements
On the stability of the permanent rotations of an asymmetric heavy rigid body (English)
0 references
1984
0 references
The stability of the rotations around the vertical axis of an asymmetric heavy rigid body with a fixed point are investigated on the basis of the Arnold-Moser stability theorems for a Hamiltonian system in the nonresonance case, and based on third- and fourth-order resonances investigated by \textit{A. P. Markeev} [ibid. 32, 738-744 (1968; Zbl 0184.119)]. It is shown that in the non-resonance case the stability of all except, perhaps, a finite number, permanent rotations is determined by the first approximation. Stability and instability conditions for resonance rotations are found.
0 references
rotations around the vertical axis
0 references
asymmetric heavy rigid body
0 references
Arnold- Moser stability theorems
0 references
nonresonance case
0 references
third- and fourth-order resonances
0 references
instability conditions
0 references
0 references
0 references
0.9506874
0 references
0.93926406
0 references
0.9335363
0 references
0.93156207
0 references
0.91636926
0 references
0.91454816
0 references
0.90713483
0 references
