Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: Theory and Applications

Periodic Orbits and Variational Methods.- On the variational approach to the periodic n-body problem.- On families of periodic solutions of the restricted three-body problem.- Hip-hop solutions of the 2N-body problem.- Double choreographical solutions for n-body type problems.- From the circular to the spatial elliptic restricted three-body problem.- Stability of axial orbits in galactic potentials.- Perturbation Theory and Regularization.- KAM tori for N-body problems: a brief history.- Analysis of the chaotic behaviour of orbits diffusing along the Arnold web.- The scattering map in the planar restricted three body problem.- On final evolutions in the restricted planar parabolic three-body problem.- Quaternions and the perturbed Kepler problem.- Dynamics of Solar and Extrasolar Systems.- The 3:2 spin-orbit resonant motion of Mercury.- Symmetric and asymmetric librations in extrasolar planetary systems: a global view.- The influence of mutual perturbations on the eccentricity excitation by jet acceleration in extrasolar planetary systems.- Symmetric and asymmetric 3:1 resonant periodic orbits with an application to the 55Cnc extra-solar system.- Estimations of orbital parameters of exoplanets from transit photometry by using dynamical constraints.- Critical inclination in the main problem of a massive satellite.- Long-term effects of the Galactic tide on cometary dynamics.- Dependence on the observational time intervals and domain of convergence of orbital determination methods.- Space Dynamics and Applications.- Collision risk against space debris in Earth orbits.- On target for Venus - set oriented computation of energy efficient low thrust trajectories.- Weak stability boundary trajectories for the deployment of lunar spacecraft constellations.- Aero-gravity assist maneuvers: controlled dynamics modeling and optimization.- Analytical theory of a lunar artificial satellite with third body perturbations.- Precise measurement of the solar gravitational red shift.