Dynamics in the center manifold of the collinear points of the restricted three-body problem

DOI10.1016/S0167-2789(99)00042-1zbMath0942.70012OpenAlexW2087723889MaRDI QIDQ1809399

Àngel Jorba, Josep J. Masdemont

Publication date: 21 August 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(99)00042-1

zbMATH Keywords

power seriesphase spaceFourier seriescenter manifoldinvariant manifoldinvariant torireduced Hamiltoniancollinear equilibrium pointshalo orbitsnormally hyperbolic manifoldsspatial restricted three-body problemLindstedt-Poincaré procedureLissajous orbitsnormal form scheme

Mathematics Subject Classification ID

Three-body problems (70F07) Dynamical systems in classical and celestial mechanics (37N05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

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