Lagrangian relative equilibria for a gyrostat in the three-body problem: bifurcations and stability

DOI10.1088/1751-8113/43/19/195203zbMath1250.70010OpenAlexW2014166863MaRDI QIDQ3563994

Juan A. Vera, Juan Luis García Guirao

Publication date: 2 June 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/43/19/195203

zbMATH Keywords

contactconnectionsHamilton's principleLagrange's equationsPoissonsymplecticthree-body problemskinematics of a rigid bodyRiemanniandifferential-geometric methods (tensorsnonholonomic)

Mathematics Subject Classification ID

Three-body problems (70F07) Bifurcations and instability for nonlinear problems in mechanics (70K50)

Related Items (8)

Hamiltonian structures of dynamics of a gyrostat in a gravitational field ⋮ On sufficient conditions of stability of the permanent rotations of a heavy triaxial gyrostat ⋮ Periodic solutions induced by an upright position of small oscillations of a sleeping symmetrical gyrostat ⋮ Bifurcations of relative equilibria for one spheroidal and two spherical bodies ⋮ Equilibria, stability and Hamiltonian Hopf bifurcation of a gyrostat in an incompressible ideal fluid ⋮ Stability of equilibrium states in the Zhukovski case of heavy gyrostat using algebraic methods ⋮ Lagrangian Relative Equilibria in a Modified Three-Body Problem with a Rotationally Symmetric Ellipsoid ⋮ Sufficient conditions for a nondegenerate Hopf bifurcation in a generalized Lagrange–Poisson problem

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