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math.DS2025
Exploration of vertical self-resonant bifurcations from Distant Retrograde Orbits (DROs) in the Earth-Moon Circular Restricted Three-Body Problem (CR3BP)
Cengiz Aydin
The purpose of this paper is to investigate vertical self-resonant (VSR) bifurcations from the distant retrograde orbit (DRO) family in the framework of the Earth-Moon circular res…
math.DS2024
Studying network of symmetric periodic orbit families of the Hill problem via symplectic invariants
Cengiz Aydin, Alexander Batkhin
In the framework of the spatial circular Hill three-body problem we illustrate the application of symplectic invariants to analyze the network structure of symmetric periodic orbit…
math.DS2022
From Babylonian lunar observations to Floquet multipliers and Conley-Zehnder Indices
Cengiz Aydin
The lunar periods of our moon -- the companion of the Earth -- which date back to the Babylonians until around 600 BCE, are 29.53 days for the synodic, 27.55 days for the anomalist…