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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.SG2024
Contact geometry of Hill's approximation in a spatial restricted four-body problem
Cengiz Aydin
It is well-known that the planar and spatial circular restricted three-body problem (CR3BP) is of contact type for all energy values below the first critical value. Burgos-García a…