Relative equilibria for the generalized rigid body

DOI10.1016/j.geomphys.2004.06.007zbMath1088.37024OpenAlexW2150671099MaRDI QIDQ556149

Antonio Hernández-Garduño, Jeffrey K. Lawson, Jerrold E. Marsden

Publication date: 13 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://authors.library.caltech.edu/19378/

zbMATH Keywords

Generalized rigid bodyRelative equilibriumSaari's Conjecture

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) (n)-body problems (70F10) Dynamics of multibody systems (70E55) Lagrange's equations (70H03) Motion of a rigid body with a fixed point (70E17)

Related Items

Saari's conjecture is true for generic vector fields, Saari's conjecture for the restricted three-body problem, Constant locked inertia tensor trajectories for simple mechanical systems with symmetry, Nonlinear dynamics of the 3D pendulum, On the \(n\)-body problem on surfaces of revolution, Relative equilibria of Lagrangian systems with symmetry

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reduction of symplectic manifolds with symmetry
• Note on the integration of Euler's equations of the dynamics of an \(n\)-dimensional rigid body
• Saari's conjecture for the planar three-body problem with equal masses
• A counterexample to a generalized Saari's conjecture with a continuum of central configurations
• Stability of relative equilibria. I: The reduced energy-momentum method
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Topology and mechanics. II: The planar \(n\)-body problem
• Computing the inertia operator of a rigid body
• The symmetric representation of the rigid body equations and their discretization
• Lectures on Mechanics
• Stability Analysis of Some Integrable Euler Equations for SO(n)
• Saari’s conjecture for the collinear $n$-body problem
• Some counterexamples to a generalized Saari’s conjecture