A Hamiltonian study of the stability and bifurcations for the satellite problem
DOI10.1007/s00332-015-9257-6zbMath1378.70004arXiv1405.2714OpenAlexW1854285048MaRDI QIDQ897164
Miguel Rodríguez-Olmos, Miguel C. Muñoz-Lecanda, Miguel Teixidó-Román
Publication date: 17 December 2015
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.2714
Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Free motion of a rigid body (70E15) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)
Related Items
Cites Work
- Unnamed Item
- Steady motions of an axisymmetric satellite: an atlas of their bifurcations
- Hamiltonian dynamics of a rigid body in a central gravitational field
- Relative equilibria in Hamiltonian systems: The dynamic interpretation of nonlinear stability on a reduced phase space
- Singularities and groups in bifurcation theory. Volume II
- Stability of relative equilibria. I: The reduced energy-momentum method
- Relative equilibria of Hamiltonian systems with symmetry: Linearization, smoothness, and drift
- Lectures on Mechanics
- Stability of relative equilibria with singular momentum values in simple mechanical systems
- On the steady motions op a gyrostat satellite
- Bounds on the librations of a symmetrical satellite