On the stability of the permanent rotations of a charged rigid body-gyrostat
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Publication:1696614
DOI10.1007/s00707-017-1927-zzbMath1427.70015OpenAlexW2739285132MaRDI QIDQ1696614
Publication date: 14 February 2018
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-017-1927-z
Lyapunov stabilityenergy-Casimir methodlinear approximation methodsufficient conditions for stabilitysufficient conditions for instability
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Cites Work
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- New integrable problems in the dynamics of particle and rigid body
- New integrable problems in rigid body dynamics with quartic integrals
- Hamiltonian dynamics of a gyrostat in the \(n\)-body problem: relative equilibria
- Two equivalent problems: Gyrostats in free motion and parametric quadratic Hamiltonians
- On the stability of motion of a gyrostat about a fixed point under the action of non-symmetric fields
- Stability of the permanent rotations of an asymmetric gyrostat in a uniform Newtonian field
- Equilibria, stability and Hamiltonian Hopf bifurcation of a gyrostat in an incompressible ideal fluid
- Equilibrium states of a gyrostat satellite in an annular configuration of \(N\) big bodies
- Hamilton-Poisson formulation for the rotational motion of a rigid body in the presence of an axisymmetric force field and a gyroscopic torque
- The gyrostat with a fixed point in a Newtonian force field: relative equilibria and stability
- Nonlinear stability of fluid and plasma equilibria
- New conditional integrable cases of motion of a rigid body with Kovalevskaya's configuration
- On the stability of rotation of a rigid body with one point fixed in the euler case
- On the stability of permanent rotations of a rigid body with a fixed point under the action of a Newtonian central force field
- On the stability of motion of gyrostats
- Attitude Motion of Asymmetric Dual-Spin Spacecraft
- On the stability of permanent rotations of a heavy gyrostat
- Spinup dynamics of gyrostats
- A new integrable problem with a quartic integral in the dynamics of a rigid body
- Spin Rotor Stabilization of a Dual-Spin Spacecraft with Time Dependent Moments of Inertia
- The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point
- On the stability of permanent rotations of a quasi-symmetrical gyrostat
- CHAOS IN THE REORIENTATION PROCESS OF A DUAL-SPIN SPACECRAFT WITH TIME-DEPENDENT MOMENTS OF INERTIA
- On the problem of stability of steady motions of a rigid body in a potential force field
- Attitude stability of a gravity-stabilized gyrostat satellite