Algebraic proof of the non-integrability of Hill's problem

From MaRDI portal
Publication:5709835

DOI10.1017/S0143385704001038zbMath1078.70014MaRDI QIDQ5709835

Sergi Simon, Carles Simó, Juan J. Morales-Ruiz

Publication date: 30 November 2005

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)




Related Items (28)

Halo orbits around the collinear points of the restricted three-body problemDIFFERENTIAL GALOIS THEORY AND INTEGRABILITYOn the covering of a Hill's region by solutions in the restricted three-body problemNon-integrability of the dumbbell and point mass problemHill's approximation in a restricted four-body problemOn the polynomial integrability of the critical systems for optimal eigenvalue gapsOn the integrability of Hamiltonian 1:2:2 resonanceIntegrability of Hamiltonian systems and differential Galois groups of higher variational equationsComplex dynamics of some Hamiltonian systems: nonintegrability of equations of motionGaloisian obstruction to the integrability of general dynamical systemsRegular and irregular geodesics on spherical harmonic surfacesDifferential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its applicationFiberwise convexity of Hill’s lunar problemNon-integrability of geodesic flow on certain algebraic surfacesIntegrability analysis of the Shimizu-Morioka systemOn certain integrable and superintegrable weight-homogeneous Hamiltonian systemsIntegrability analysis of natural Hamiltonian systems in curved spacesNon-integrability of first order resonances in Hamiltonian systems in three degrees of freedomBifurcations of periodic solutions of a Hamiltonian system with a discrete symmetry groupNon-integrability of Hamiltonian systems through high order variational equations: summary of results and examplesA reduced form for linear differential systems and its application to integrability of Hamiltonian systemsLinearised higher variational equationsPicard-Vessiot theory and integrabilityWeb of families of periodic orbits of the generalized Hill problemGroup analysis of non-autonomous linear Hamiltonians through differential Galois theoryOn the periodic orbits and the integrability of the regularized Hill lunar problemNon-integrability of a class of Hamiltonian systemsDifferential Galois Theory and Integration




This page was built for publication: Algebraic proof of the non-integrability of Hill's problem