On the dynamics of a gyrostat on Lagrangian equilibria in the three body problem
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Publication:613128
DOI10.1007/s11044-009-9183-1zbMath1376.70027OpenAlexW2049274166MaRDI QIDQ613128
Publication date: 17 December 2010
Published in: Multibody System Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11044-009-9183-1
Hamilton's equations (70H05) (n)-body problems (70F10) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Motion of the gyroscope (70E05)
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Cites Work
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- Hamiltonian dynamics of a gyrostat in the \(n\)-body problem: relative equilibria
- Relative equilibria for general gravity fields in the sphere-restricted full 2-body problem
- Hamiltonian dynamics of a rigid body in a central gravitational field
- Two equivalent problems: Gyrostats in free motion and parametric quadratic Hamiltonians
- Reduction, relative equilibria and potential in the two rigid bodies problem
- On the stability of an equilibrium position and rotational motion of a gyrostat
- Equilibrium states of a gyrostat satellite in an annular configuration of \(N\) big bodies
- The Hamiltonian dynamics of the two gyrostats problem
- Semidirect Products and Reduction in Mechanics
- Attitude Motion of Asymmetric Dual-Spin Spacecraft
- Sur le probleme des trois corps solides (on the problem of three rigid bodies)
- About the problem of motion of n gyrostats: I. The first integrals
- Linear stability of symplectic maps
- Stability of Hamiltonian relative equilibria
- Complete analysis of bifurcations in the axial gyrostat problem
- The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point
- Existence and stability of libration points in the restricted three-body problem when the primaries are triaxial rigid bodies
