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The dynamics around the collinear point L3 of the RTBP [Presentation]
We consider the Restricted Three Body Problem (RTBP), and we restrict our attention to the equilibrium point L3. Our aim is centered in the description, as global as possible, of the dynamics around this equilibrium point. ...
J2 effect and the collision restricted three–body problem [Presentation]
The existence of a new class of inclined periodic orbits of the collision restricted three–body problem is shown. The symmetric periodic solutions found are perturbations of elliptic kepler orbits and they exist only for ...
Qualitative features of Hamiltonian systems through averaging and reduction [Presentation]
In this work we analyze the existence and stability of periodic solutions to a Hamiltonian vector field which is a small perturbation of a vector field tangent to the fibers of a circle bundle. By averaging the perturbation ...