Chaotic Worlds: From Order to Disorder in Gravitational N-Body Dynamical Systems

Part I. Tools of Order

1. Canonical perturbation theory for nearly integrable systems
Antonio Giorgilli, Ugo Locatelli

2. Periodic orbits in gravitational systems
John D. Hadjedemetriou

3. Periodic solutions in Gravitational Problems and the Structure of Solution Space
P. J. Message

4. General properties of three-body systems with Hill-type stability
C. Marchal

Part II. Tools for investigation of Chaos and its sources

5. The fine structure of Hamiltonian systems revealed using the Fast Lyapunov Indicator
Claude Froeschlé, Elena Lega

6. Fourier analysis of chaotic motions and applications to Celestial mechanics
Massimiliano Guzzo

Part III. Sources of Chaos

7. Basics of regularization theory
Alessandra Celletti

8. Order and chaos in Satellite encounters
Jüorg Waldvogel

Part IV. Applications

9. Regular motions in extra-solar planetary systems
S. Ferraz-Mello, T. A. Micchtchenko, C. Beauge

10. Tides on Europa
Richard Greenberg

11. Numerical evaluation of Love's solution for Tidal amplitude
T. A. Hurford, S. Frey, R. Greenberg

12. On the general solutions of Hilbert-Einstein field equations in vacuum
C. Marchal

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Keywords: SCIENCE / Physics SCI055000