| Description |
1 online resource (1 volume) : illustrations. |
| Series |
World scientific monograph series in mathematics ; vol. 5 |
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World Scientific monograph series in mathematics ; v. 5.
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| Bibliography |
Includes bibliographical references. |
| Note |
Print version record. |
| 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. Contents: Global Stability Zones Around the Triangular Libration Points; The Normal Form Around L 5 in the Three-dimensional RTBP; Normal Form of th. |
| Contents |
Introduction. 0.1. Detailed objectives. 0.2. Known results about the stability of L4,5. 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 tree-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. 5.6. The neighbourhood of the almost planar nominal paths -- chapter 6. Transfer to orbits in a vicinity of the Lagrangian points. 6.1. Computations of the transfer orbits. 6.2. Summary of the results. |
| Subject |
Three-body problem.
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Lagrangian points.
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SCIENCE -- Astronomy.
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Lagrangian points. (OCoLC)fst00990779
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Three-body problem. (OCoLC)fst01150315
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Sistemas dinâmicos.
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Problemas de n-corpos.
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Estabilidade.
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Sistemas hamiltonianos.
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Métodos de perturbação (sistemas dinâmicos)
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| Added Author |
Gómez, G. (Gerard)
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| Other Form: |
Print version: Dynamics and mission design near libration points. Vol. IV, Advanced methods for triangular points. Singapore ; River Edge, NJ : World Scientific, 2001 9810242107 9789810242107 (DLC) 00043633 (OCoLC)44594017 |
| ISBN |
9789812794635 (electronic bk.) |
|
9812794638 (electronic bk.) |
|
