Dynamics and mission design near libration points, vol. IV advanced methods for triangular points (World Scientific monograph series in mathematics, vol. 5)

The aim of this book is to explain, analyze and compute the kinds of motions that appear in an extended vicinity of the geometrically defined equilateral points of the Earth-Moon system, as a source of possible nominal orbits for future space missions. The methodology developed here is not specific to astrodynamics problems. The techniques are developed in such a way that they can be used to study problems that can be modeled by dynamical systems.

Global stability zones around the triangular libration points. The normal form around L5 in the 3-D RTBP. Normal form of the bicircular model and related topics. The quasiperiodic models. Nominal paths and stability properties. Transfer to orbits in a vicinity of the Lagrangian points. Global stability zones around the triangular libration points in the elliptic RTBP. Fourier analysis. Geometrical bounds for the dynamics. Codimension 1 manifolds.