The linear symmetries of Hill's lunar problem

DOI10.1007/s00013-022-01822-1OpenAlexW4316661467MaRDI QIDQ2697455

Cengiz Aydin

Publication date: 12 April 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-022-01822-1

zbMATH Keywords

symmetrythree body problemHill lunar problem

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

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From Babylonian lunar observations to Floquet multipliers and Conley–Zehnder indices ⋮ The Conley-Zehnder indices of the spatial Hill three-body problem

Cites Work

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• Hill's problem: Families of three-dimensional periodic orbits (Part I)
• The restricted three-body problem and holomorphic curves
• A family of periodic orbits in the three-dimensional lunar problem