Celletti A., Ferraz-Mello S. (Eds.) Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: Theory and Applications

Springer, 2006. — 434 p. — ISBN: 1-4020-5324-X.The book provides the most recent advances of Celestial Mechanics, as provided by high-level scientists working in this field. It covers theoretical investigations as well as applications to concrete problems. Outstanding review papers are included in the book and they introduce the reader to leading subjects, like the variational approaches to find periodic orbits, the stability theory of the N-body problem, the spin-orbit resonances and chaotic dynamics, the space debris polluting the circumterrestrial space.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
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
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
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