The stability of the triangular Lagrangian points for commensurability of order two
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Publication:5578329
DOI10.1007/BF01231140zbMath0185.52401OpenAlexW2014626302MaRDI QIDQ5578329
Publication date: 1970
Published in: Celestial Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01231140
instabilityplanar restricted three-body problemtriangular equilibrium pointstwo variable expansion method
Related Items (12)
Analytical investigation of nonlinear stability of the Lagrangian point \(L_4\) around the commensurability 1:2 ⋮ Stability and motion in two degree-of-freedom hamiltonian systems for two-to-one commensurability ⋮ Stability of and motion aboutL 4 at three-to-one commensurability ⋮ A Coriolis force in an inertial frame ⋮ Non-linear stability in photogravitational non-planar restricted three body problem with oblate smaller primary ⋮ The elusive Liapunov periodic solutions ⋮ On quasi-periodic motions around the triangular libration points of the real Earth-Moon system ⋮ Three-dimensional regions of stability about the triangular equilibrium points ⋮ High-order solutions of motion near triangular libration points for arbitrary value of \(\mu\) ⋮ Position and velocity sensitivities at the triangular libration points ⋮ Lyapunov's center theorem for resonant equilibrium ⋮ The stability of the Lagrange triangular point and a theorem of Arnold
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