On sufficient conditions of stability of the permanent rotations of a heavy triaxial gyrostat

DOI10.1007/s12346-014-0128-6zbMath1338.70014OpenAlexW2086367482MaRDI QIDQ904877

Antonio Vigueras Campuzano, M. Teresa de Bustos Muñoz, Juan Antonio Vera López, Juan Luis García Guirao

Publication date: 14 January 2016

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-014-0128-6

zbMATH Keywords

Lyapunov stabilityenergy-Casimir methodheavy gyrostatpermanent rotations

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) Stability problems in rigid body dynamics (70E50) Motion of the gyroscope (70E05)

Related Items (5)

On analogs of the Bobylev-Steklov case for a gyrostat under the action of a moment of gyroscopic forces ⋮ On analogues of the Hess case for a gyrostat under the action of the moment of gyroscopic and circular forces ⋮ Stability of the permanent rotations of an asymmetric gyrostat in a uniform Newtonian field ⋮ On the stability of a class of permanent rotations of a heavy asymmetric gyrostat ⋮ On first integrals and stability of stationary motions of gyrostat

Cites Work

• Stationary solutions of a small gyrostat in the Newtonian field of two bodies with equal masses
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• On the stability and bifurcation of the steady state motions of a heavy gyrostat
• Two equivalent problems: Gyrostats in free motion and parametric quadratic Hamiltonians
• Equilibrium states of a gyrostat satellite in an annular configuration of \(N\) big bodies
• An integrable case of a rotational motion analogous to that of Lagrange and Poisson for a gyrostat in a Newtonian force field
• On the permanent axes of motion for a heavy gyrostat near an immovable point
• Semidirect Products and Reduction in Mechanics
• Attitude Motion of Asymmetric Dual-Spin Spacecraft
• Lagrangian relative equilibria for a gyrostat in the three-body problem: bifurcations and stability
• On the stability of permanent rotations of a heavy gyrostat
• Stability of Hamiltonian relative equilibria
• The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point
• On the permanent axes of rotation of a gyrostat with a fixed point

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