Periodic solutions and their stability for the problem of gyrostat

DOI10.1007/BF00637719zbMath0733.70002MaRDI QIDQ809639

F. M. F. El-Sabaa

Publication date: 1991

Published in: Astrophysics and Space Science (Search for Journal in Brave)

zbMATH Keywords

stabilityperiodic solutionsperturbation theoryHamiltonian functiongyrostatDeprit's transformLie's transform

Mathematics Subject Classification ID

Hamilton's equations (70H05) Perturbation methods for rigid body dynamics (70E20) Local and nonlocal bifurcation theory for dynamical systems (37G99) Motion of the gyroscope (70E05) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (2)

Integrable cases in the dynamics of axial gyrostats and adiabatic invariants ⋮ Hamiltonian and chaotic attitude dynamics of an orbiting gyrostat satellite under gravity-gradient torques

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