7 papers
Comet-type periodic motions and their out-of-plane bifurcations in the Earth-Moon CR3BP: a computational symplectic analysis
Cengiz Aydin
Comet-type periodic orbits of the circular restricted three-body problem (CR3BP) are periodic solutions that are generated from very large retrograde and direct circular Keplerian…
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…
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…
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…
Symplectic geometry and space mission design
Cengiz Aydin, Urs Frauenfelder, Otto van Koert +2
Using methods from symplectic geometry, the second and fifth authors have provided theoretical groundwork and tools aimed at analyzing periodic orbits, their stability and their bi…
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…
Non-fillability of overtwisted contact manifolds via polyfolds
Wolfgang Schmaltz, Stefan Suhr, Kai Zehmisch
We prove that any weakly symplectically fillable contact manifold is tight. Furthermore we verify the strong Weinstein conjecture for contact manifolds that appear as the concave b…