Stability of and motion aboutL 4 at three-to-one commensurability

DOI10.1007/BF01230322zbMath0225.70013OpenAlexW1977526009MaRDI QIDQ5632189

Kyle T. Alfriend

Publication date: 1971

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01230322

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20)

Related Items (7)

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 ⋮ Determination of nonlinear stability for low order resonances by a geometric criterion ⋮ Lyapunov's center theorem for resonant equilibrium ⋮ The stability of the Lagrange triangular point and a theorem of Arnold

Cites Work

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• Stability by Liapunov's direct method. With applications
• Three-dimensional nonlinear stability analysis of the sun-perturbed earth-moon equilateral points.
• The stability of the triangular Lagrangian points for commensurability of order two
• Periodic orbits emanating from a resonant equilibrium
• Three-to-one resonances near the equilateral libration points

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