Geometric mechanics and the dynamics of asteroid pairs

DOI10.1080/1468936042000269578zbMath1161.70334OpenAlexW3123937564MaRDI QIDQ4651108

Jerrold E. Marsden, Hernan Cendra

Publication date: 21 February 2005

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/71527

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Celestial mechanics (70F15) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (7)

Nonlocal orientation-dependent dynamics of charged strands and ribbons ⋮ Minimum energy configurations in the \(N\)-body problem and the celestial mechanics of granular systems ⋮ Stability of the planar full 2-body problem ⋮ Stability of the planar synchronous full two-body problem -- the approach of periodic orbits ⋮ Dynamic limits on planar libration-orbit coupling around an oblate primary ⋮ Constraints on bounded motion and mutual escape for the full 3-body problem ⋮ A nonholonomic approach to isoparallel problems and some applications

Cites Work

• Reduction, relative equilibria and potential in the two rigid bodies problem
• Unrestricted planar problem of a symmetric body and a point mass. Triangular libration points and their stability
• Stability of relative equilibria. I: The reduced energy-momentum method
• Stability in the full two-body problem
• Locomotion of articulated bodies in a perfect fluid
• Variational time integrators
• Discrete mechanics and variational integrators
• Changes in rotational angular momentum due to gravitational interactions between two finite bodies

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