Dynamics and mission design near libration points / G. Gomez ... [et al.].

Format:

Book

Contributor:

Gómez, G. (Gerard)

Series:

World Scientific monograph series in mathematics ; 5.

World scientific monograph series in mathematics ; 5

Language:

English

Subjects (All):

Three-body problem.

Lagrangian points.

Physical Description:

1 online resource (274 p.)

Edition:

1st ed.

Place of Publication:

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

Language Note:

English

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 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. <br><i>Contents:</i><ul><li>Global Stability Zones Around the Triangular Libration Points</li><li>The Normal Form Around <i>L</i>5 in the Three-dim

Contents:

Contents ; Preface ; Introduction ; 0.1 Detailed Objectives ; 0.2 Known Results About the Stability of L45 ; 0.3 Main Difficulties of the Problem ; Chapter 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 ; Chapter 2 The Normal Form Around L5 in the Three-dimensional RTBP

2.1 Checks of the Normal Form Chapter 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 Two-dimensional Tori ; 3.8 Big Tori and Stability Zones ; Chapter 4 The Quasi-periodic Model

4.1 The Lagrangian and the Hamiltonian 4.2 Some Useful Expansions ; 4.3 The Fourier Analysis ; Chapter 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

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9786611934576

9781281934574

1281934577

9789812794635

9812794638

OCLC:

262621383