Description 
1 online resource (1 volume) : illustrations 
Series 
World scientific monograph series in mathematics ; vol. 4 

World Scientific monograph series in mathematics ; v. 4.

Contents 
Ch. 1. Quasiperiodic solutions near the equilateral points of the Earth  Moon system. 1.1. Introduction. 1.2. Idea of the resolution method. 1.3. The algebraic manipulator. 1.4. The Newton method. 1.5. The program. 1.6. Results of the algebraic manipulator. 1.7. Numerical refinement. 1.8. The neighbourhood of the computed nearly quasiperiodic solution. 1.9. Problems and extensions  ch. 2. Global description of the orbits near the L1 point of the EarthSun system in the RTBP. 2.1. Introduction. 2.2. The equations of motion. 2.3. Formal series solutions. 2.4. On the convergence of the series. 2.5. Towards a description of the neighbourhood of L1. 2.6. Discussion on the use of Lissajous orbits. 2.7. Effective reduction to the central manifold. 2.8. Conclusions  ch. 3. Quasiperiodic halo orbits. 3.1. Numerical refinement. 3.2. Main program and basic routines. 3.3. The equations of motion for the simulations of the control. 3.4. The effect of errors. 3.5. When a control is applied. 3.6. Magnitudes related to the control. 3.7. Description of the pogram. 3.8. Numerical results  ch. 4. Transfer from the earth to a halo orbit. 4.1. Introduction. 4.2. Local approximation of the stable manifold. 4.3. Globalization of the manifold. 4.4. Selecting passages near the earth. 4.5. Ranges in the manifold suited for the transfer. 4.6. Characteristics of the orbits near the Earth. 4.7. Conclusions 
Summary 
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 EarthMoon system. The second chapter gives a complete description of the orbits near the collinear point, L 1, between the Earth and the Sun in the restricted threebody 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 qua 
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 
9789812794628 

981279462X 
