Screen LibraryDynamics and mission design near libration points. Vol. 2, Fundamentals : the case of triangular libration points /
"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, , below Routh's critical value, 1. It is also known that in the spatial case they are nonlinearly stable, not for all the initial c...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
World Scientific Pub. Co.,
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| Publisher Address: | Singapore : |
| Publication Dates: | 2001. |
| Literature type: | eBook |
| Language: | English |
| Series: |
World scientific monograph series in mathematics ;
vol. 3 |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/4392#t=toc |
| Summary: |
"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, , below Routh's critical value, 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 L4, L5 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 particle rema |
| Carrier Form: | 1 online resource (xi,146pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9789812810649 |
| CLC: | P184.4-32 |
| Contents: | ch. 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. 1.4. Miscellaneous results -- ch. 2. Periodic orbits of the bicircular problem and their stability. 2.1. Introduction. 2.2. The equations of the bicircular problem. 2.3. Periodic orbits with the period of the Sun. 2.4. The tools: numerical continuation of periodic orbits and analysis of bifurcations. 2.5. The periodic orbits obtained by triplication -- ch. 3. Numerical simulations |