Generalized Serret-Andoyer transformation and applications for the controlled rigid body

DOI10.1023/A:1008342708491zbMath0949.93016MaRDI QIDQ1283372

Kai-Yew Lum, Anthony M. Bloch

Publication date: 13 April 1999

Published in: Dynamics and Control (Search for Journal in Brave)

zbMATH Keywords

canonical transformationNoether's theoremcanonical coordinatesco-adjoint orbitclassical Lagrange-Dirichlet criterioncontrolled rigid bodyleft-invariant Hamiltonian functionsSerret-Andoyer transformationstability for relative equilibria

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Transformations (93B17) Canonical transformations in symplectic and contact geometry (53D22) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (3)

Hamiltonian and chaotic attitude dynamics of an orbiting gyrostat satellite under gravity-gradient torques ⋮ The Serret-Andoyer formalism in rigid-body dynamics. I. Symmetries and perturbations ⋮ The Serret-Andoyer formalism in rigid-body dynamics. II. Geometry, stabilization, and control

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