The Serret-Andoyer formalism in rigid-body dynamics. I. Symmetries and perturbations

DOI10.1134/S156035470704003XzbMath1229.37112arXivastro-ph/0607201MaRDI QIDQ655272

Michael Efroimsky, W. Tangren, Pini Gurfil, Antonio Elipe

Publication date: 3 January 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/astro-ph/0607201

zbMATH Keywords

Lyapunov controlnonlinear stabilizationHamiltonian control systems

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Free motion of a rigid body (70E15) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) Perturbation methods for rigid body dynamics (70E20)

Related Items (7)

The theory of canonical perturbations applied to attitude dynamics and to the Earth rotation. Osculating and nonosculating Andoyer variables ⋮ Long-term evolution of orbits about a precessing oblate planet. II: The case of variable precession ⋮ Corrections stemming from the non-osculating character of the Andoyer variables used in the description of rotation of the elastic Earth ⋮ Hamiltonian Perturbation Theory on a Lie Algebra. Application to a non-autonomous Symmetric Top ⋮ Andoyer construction for Hill and Delaunay variables ⋮ The Serret-Andoyer formalism in rigid-body dynamics. II. Geometry, stabilization, and control ⋮ Chaos analysis in attitude dynamics of a flexible satellite

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