Phase flow of an axially symmetrical gyrostat with one constant rotor

DOI10.1063/1.531867zbMath0907.70004OpenAlexW2009522639MaRDI QIDQ4352175

Victor Lanchares, Antonio Elipe

Publication date: 28 August 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531867

zbMATH Keywords

Hamiltoniangeneral solutionangular momentumJacobi elliptic functionsattitude dynamicsparametric bifurcations

Mathematics Subject Classification ID

Hamilton's equations (70H05) Motion of the gyroscope (70E05) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (5)

Behavior of a free dual-spin gyrostat with different ratios of inertia moments ⋮ Exact solution of a triaxial gyrostat with one rotor ⋮ 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 ⋮ CHAOS IN THE REORIENTATION PROCESS OF A DUAL-SPIN SPACECRAFT WITH TIME-DEPENDENT MOMENTS OF INERTIA

Cites Work

• Hamiltonian chaos in nonlinear optical polarization dynamics
• Biparametric quadratic Hamiltonians on the unit sphere: Complete classification
• Chaotic motion of an asymmetric gyrostat in the gravitational field
• Quadratic Hamiltonians on the unit sphere
• Lie-Poisson structures, dual-spin spacecraft and asymptotic stability
• On the stability of motion of gyrostats
• Attitude Motion of Asymmetric Dual-Spin Spacecraft
• A mechanical system with a ‘‘wild’’ horseshoe
• About the problem of motion of n gyrostats: I. The first integrals
• Bifurcations in biparametric quadratic potentials
• Bifurcations in biparametric quadratic potentials. II
• Effects of an internal angular momentum on the rotation of a symmetrical top

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