The vicinity of Earth-Moon \(L_1\) and \(L_2\) in the Hill restricted 4-body problem

DOI10.1016/j.physd.2023.133889OpenAlexW4385973053MaRDI QIDQ6090637

Luke T. Peterson, Daniel J. Scheeres, José J. Rosales

Publication date: 17 November 2023

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

Full work available at URL: https://doi.org/10.1016/j.physd.2023.133889

zbMATH Keywords

center manifold Sun-Earth-Moon system Hamiltonian dynamical system non-autonomous normal form quasi-periodic invariant torus existence

Mathematics Subject Classification ID

(n)-body problems (70F10) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Normal forms for nonlinear problems in mechanics (70K45)

Cites Work

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Canonical transformations depending on a small parameter
The dynamics around the collinear equilibrium points of the RTBP
Invariant manifolds near \(L_1\) and \(L_2\) in the quasi-bicircular problem

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