From Babylonian lunar observations to Floquet multipliers and Conley–Zehnder indices

DOI10.1063/5.0156959zbMath1520.70007arXiv2206.07803OpenAlexW4385879865MaRDI QIDQ6138693

Cengiz Aydin

Publication date: 5 September 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.07803

Mathematics Subject Classification ID

Three-body problems (70F07) Two-body problems (70F05) Index theory for dynamical systems, Morse-Conley indices (37B30) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Cites Work

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• A family of periodic orbits in the three-dimensional lunar problem
• The linear symmetries of Hill's lunar problem
• Morse Theory. (AM-51)
• A History of Ancient Mathematical Astronomy
• Periodic solutions of hamiltonian systems
• Slow volume growth for Reeb flows on spherizations and contact Bott–Samelson theorems
• Regularization of kepler's problem and the averaging method on a manifold
• The Conley-Zehnder indices of the spatial Hill three-body problem

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