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Integrability of the generalised Hill problem
Authors:Combot  Thierry  Maciejewski  Andrzej J.  Przybylska  Maria
Affiliation:1.Université de Burgogne, 9 Avenue A. Savary, BP 47870, 21078, Dijon Cedex, France
;2.Janusz Gil Institute of Astronomy, University of Zielona Góra, Licealna 9, 65-417, Zielona Góra, Poland
;3.Institute of Physics, University of Zielona Góra, Licealna 9, 65-417, Zielona Góra, Poland
;
Abstract:Nonlinear Dynamics - We consider a certain two-parameter generalisation of the planar Hill lunar problem. We prove that for nonzero values of these parameters the system is not integrable in the...
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