Non-integrability of Hill's lunar problem.

DOI10.1023/A:1011946725249zbMath1033.70007OpenAlexW4231366710MaRDI QIDQ5955274

Simos Ichtiaroglou, Fabian Josef Winterberg, Efi Meletlidou

Publication date: 18 March 2003

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011946725249

zbMATH Keywords

angular velocitysmall parameterembeddinganalytic functionHamiltonian systemintegrable two-body problemPoincaré methodrotating framesecond first integral

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)

Related Items (7)

On the covering of a Hill's region by solutions in the restricted three-body problem ⋮ Hill's approximation in a restricted four-body problem ⋮ Fiberwise convexity of Hill’s lunar problem ⋮ Stability of orbits around a spinning body in a pseudo-Newtonian Hill problem ⋮ The invariant manifold structure of the spatial Hill's problem ⋮ Newtonian and pseudo-Newtonian Hill problem ⋮ On the periodic orbits and the integrability of the regularized Hill lunar problem

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