Non-continuation of integrals of the rotating two-body problem in Hill's lunar problem

DOI10.1023/B:CELE.0000009381.03246.2BzbMath1131.70305OpenAlexW2071090349MaRDI QIDQ1769090

Fabian Josef Winterberg, Efi Meletlidou

Publication date: 17 March 2005

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

Full work available at URL: https://doi.org/10.1023/b:cele.0000009381.03246.2b

zbMATH Keywords

nonintegrabilityDelaunay variablesLaplace-Runge-Lenz vectorHill's lunar problem

Mathematics Subject Classification ID

Celestial mechanics (70F15) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (3)

Hill's approximation in a restricted four-body problem ⋮ The invariant manifold structure of the spatial Hill's problem ⋮ On the periodic orbits and the integrability of the regularized Hill lunar problem

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