Cargando…
Dynamics and mission design near libration points. Vol. IV, Advanced methods for triangular points /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; River Edge, NJ :
World Scientific,
2001.
|
| Colección: | World Scientific monograph series in mathematics ;
v. 5. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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 tree-dimensional 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 two-dimensional Tori. 3.8. Big Tori and stability zones
- ch. 4. The quasi-periodic 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.