4 papers
Generalization of the Hill problem as an application for the Trojan asteroids of the solar system
Jaime Burgos-Garcia, Marian Gidea
The restricted four body problem studies the dynamics of a massless particle under the gravitational force produced by three masses (primaries) in an equilateral configuration. One…
Transition map and shadowing lemma for normally hyperbolic invariant manifolds
Amadeu Delshams, Marian Gidea, Pablo Roldan
For a given a normally hyperbolic invariant manifold, whose stable and unstable manifolds intersect transversally, we consider several tools and techniques to detect trajectories w…
Diffusion along transition chains of invariant tori and Aubry-Mather sets
Marian Gidea, Clark Robinson
We describe a topological mechanism for the existence of diffusing orbits in a dynamical system satisfying the following assumptions: (i) the phase space contains a normally hyperb…
Geometry of Weak Stability Boundaries
Edward Belbruno, Marian Gidea, Francesco Topputo
The notion of a weak stability boundary has been successfully used to design low energy trajectories from the Earth to the Moon. The structure of this boundary has been investigate…