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Dynamics and Mission Design Near Libration Points - Vol Ii : Fundamentals.
It is well known that the restricted three-body problem has triangular equilibrium points. These points are linearly stable for values of the mass parameter, æ, below Routh's critical value, æ 1 . It is also known that in the spatial case they are nonlinearly stable, not for all the initial con...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Publishing Company,
2001.
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| Colección: | World Scientific monograph series in mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Llibre, J. | |
| 245 | 1 | 0 | |a Dynamics and Mission Design Near Libration Points - Vol Ii : |b Fundamentals. |
| 260 | |a Singapore : |b World Scientific Publishing Company, |c 2001. | ||
| 300 | |a 1 online resource (159 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a World Scientific Monograph Series in Mathematics | |
| 588 | 0 | |a Print version record. | |
| 520 | |a It is well known that the restricted three-body problem has triangular equilibrium points. These points are linearly stable for values of the mass parameter, æ, below Routh's critical value, æ 1 . It is also known that in the spatial case they are nonlinearly stable, not for all the initial conditions in a neighborhood of the equilibrium points L 4, L 5 but for a set of relatively large measures. This follows from the celebrated Kolmogorov-Arnold-Moser theorem. In fact there are neighborhoods of computable size for which one obtains "practical stability" in the sense that the massless partic. | ||
| 505 | 0 | |a Preface ; Chapter 1 Bibliographical Survey ; 1.1 Equations. The Triangular Equilibrium Points and their Stability ; 1.2 Numerical Results for the Motion Around L4 and L5 ; 1.3 Analytical Results for the Motion Around L4 and L5 ; 1.3.1 The Models Used. | |
| 505 | 8 | |a 1.4 Miscellaneous Results 1.4.1 Station Keeping at the Triangular Equilibrium Points ; 1.4.2 Some Other Results ; Chapter 2 Periodic Orbits of the Bicircular Problem and Their Stability ; 2.1 Introduction ; 2.2 The Equations of the Bicircular Problem. | |
| 505 | 8 | |a 2.3 Periodic Orbits with the Period of the Sun 2.4 The Tools: Numerical Continuation of Periodic Orbits and Analysis of Bifurcations ; 2.4.1 Numerical Continuation of Periodic Orbits for Nonautonomous and Autonomous Equations. | |
| 505 | 8 | |a 2.4.2 Bifurcations of Periodic Orbits: From the Autonomous to the Nonautonomous Periodic System 2.4.3 Bifurcation for Eigenvalues Equal to One ; 2.5 The Periodic Orbits Obtained by Triplication. | |
| 505 | 8 | |a Chapter 3 Numerical Simulations of the Motion in an Extended Neighborhood of the Triangular Libration Points in the Earth-Moon System 3.1 Introduction ; 3.2 Simulations of Motion Starting at the Instantaneous Triangular Points at a Given Epoch. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Three-body problem. | |
| 650 | 0 | |a Lagrangian points. | |
| 650 | 6 | |a Problème à trois corps. | |
| 650 | 6 | |a Points de Lagrange. | |
| 650 | 7 | |a Lagrangian points |2 fast | |
| 650 | 7 | |a Three-body problem |2 fast | |
| 776 | 0 | 8 | |i Print version: |z 9789810242749 |
| 830 | 0 | |a World Scientific monograph series in mathematics. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1679700 |z Texto completo |
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| 938 | |a YBP Library Services |b YANK |n 2915231 | ||
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