4 papers · 1 filter
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…
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…
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…