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

Preface     2
Periodic Orbits and Variational Methods
On the variational approach of the periodic n-body problem     25
On families of periodic solutions of the restricted three-body problem     54
Hip-hop solutions of the 2N-body problem     66
Double choreographical solutions the n-body type problems     80
From the circular to the spatial elliptic restricted three-body problem     99
Stability of axial orbits in galactic potentials     116
Perturbation Theory and Regularization
KAM tori for N-body problems: a brief history     139
Analysis of the chaotic behaviour of orbits diffusing along the Arnold web     153
The scattering map in the planar restricted three body problem     171
On final evolutions in the restricted planar parabolic three-body problem     200
Quaternions and the perturbed Kepler problem     212
Dynamics of Solar and Extrasolar Systems
The 3:2 spin-orbit resonant motion of Mercury     224
Symmetric and asymmetric librations in extrasolar planetary systems: a global view     244
The influence of mutual perturbations on the eccentricity excitation by jet acceleration in extra-solar planetary systems     257
Symmetric and asymmetric 3:1 resonant periodic orbits with an application to the 55Cnc extra-solar system     271
Estimations of orbital parameters of exoplanets from transit photometry by using dynamical constraints     285
Critical inclination in the main problem of a massive satellite     297
Long-term effects of the Galactic tide on cometary dynamics     326
Dependence on the observational time intervals and domain of convergence of orbital determination methods     344
Space Dynamics and Applications
Collision risk against space debris in earth orbits     356
On for Venus - set oriented computation of energy efficient low thrust trajectories     370
Weak stability boundary trajectories for the deployment of lunar spacecraft constellations     390
Aero-gravity assist maneuvers: controlled dynamics modeling and optimization     405
Analytical theory of a lunar artificial satellite with third body perturbations     423
Precise measurement of the solar gravitational red shift     437