Description 
1 online resource (1 volume) : illustrations 
Series 
World scientific monograph series in mathematics ; vol. 5 

World Scientific monograph series in mathematics ; v. 5.

Contents 
Introduction. 0.1. Detailed objectives. 0.2. Known results about the stability of L4,5. 0.3. Main difficulties of the problem  ch. 1. Global stability zones around the triangular libration points. 1.1. Equations of motion. 1.2. Results for the restricted circular problem. 1.3. Simulations for the bicircular problem. 1.4. Results for the simulations using the JPL model. 1.5. Discussion and tentative explanations  ch. 2. The normal form around L5 in the treedimensional RTBP. 2.1. Checks of the normal form  ch. 3. Normal form of the bicircular model and related topics. 3.1. The equations of the bicircular problem. 3.2. Expansion of the Hamiltonian. 3.3. Cancelling the terms of order one. 3.4. Normal form to order two. 3.5. Normal form of terms of order higher than two. 3.6. A test concerning the normal form around the small periodic orbit near l5 in the bicircular problem. 3.7. On the computation of unstable twodimensional Tori. 3.8. Big Tori and stability zones  ch. 4. The quasiperiodic model. 4.1. The Lagrangian and the Hamiltonian. 4.2. Some useful expansions. 4.3. The fourier analysis  ch. 5. Nominal paths and stability properties. 5.1. Introduction. 5.2. Idea of the resolution method. 5.3. The algebraic manipulator. 5.4. Results with the algebraic manipulator. 5.5. Numerical refinement. 5.6. The neighbourhood of the almost planar nominal paths  ch. 6. Transfer to orbits in a vicinity of the Lagrangian points. 6.1. Computations of the transfer orbits. 6.2. Summary of the results 
Summary 
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 EarthMoon 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. Contents: Global Stability Zones Around the Triangular Libration Points; The Normal Form Around L 5 in the Threedimensional RTBP; Normal Form of th 
Bibliography 
Includes bibliographical references 
Notes 
Print version record 
Subject 
Threebody problem.


Lagrangian points.


SCIENCE  Astronomy.


Lagrangian points.


Threebody problem.


Sistemas dinâmicos.


Problemas de ncorpos.


Estabilidade.


Sistemas hamiltonianos.


Métodos de perturbação (sistemas dinâmicos)

Form 
Electronic book

Author 
Gómez, G. (Gerard)

ISBN 
9789812794635 

9812794638 
