Josep J Masdemont

This book focuses on the Jet Transport (JT) technique and gives a systematic introduction on its theory development, algorithm implementation, and in particular, the applications in the field of astronautics including uncertainty propagation, filtering, as well as guidance and control. It features on the combination of mathematical theory and engineering applications, making the technique to be understood and mastered straightforwardly. Moreover, the JT-based methods proposed in the book offer a new and ingenious way to some classical problems. Given its breadth of coverage, the book offers a valuable reference guide for researchers and engineers interested in the JT methodology including theory and applications.

This book studies several problems related to the analysis of planned or possible spacecraft missions. It is divided into four chapters. The first chapter is devoted to the computation of quasiperiodic solutions for the motion of a spacecraft near the equilateral points of the Earth-Moon system. The second chapter gives a complete description of the orbits near the collinear point, L1, between the Earth and the Sun in the restricted three-body problem (RTBP) model. In the third chapter, methods are developed to compute the nominal orbit and to design and test the control strategy for the quasiperiodic halo orbits. In the last chapter, the transfer from the Earth to a halo orbit is studied.

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.