Dynamics and mission design near libration points. Volume 3, Advanced methods for collinear points / G. Gomez ... [et al.].

Format:

Book

Contributor:

Gómez, G. (Gerard)

Series:

World Scientific monograph series in mathematics ; 4.

World scientific monograph series in mathematics ; 4

Language:

English

Subjects (All):

Three-body problem.

Lagrangian points.

Physical Description:

1 online resource (203 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; River Edge, NJ : World Scientific, c2001.

Language Note:

English

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 Earth-Moon system. The second chapter gives a complete description of the orbits near the collinear point, <i>L</i>1, 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 t

Contents:

Contents ; Preface ; Chapter 1 Quasi-periodic 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 Quasi-periodic Solution ; 1.9 Problems and Extensions ; Chapter 2 Global Description of the Orbits Near the L1 Point of the Earth-Sun 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 ; Chapter 3 Quasi-periodic 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 Program ; 3.8 Numerical Results

Chapter 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

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9786611934569

9781281934567

1281934569

9789812794628

981279462X

OCLC:

262620003