The Dynamics of Small Bodies in the Solar System

Section One: Asteroids and Trans-Neptunian Objects.- 2. Introduction.- 3. On High-Eccentricity Small-Amplitude Asteroidal Librations.- 4. A. Symplectic Mapping Approach for the Study of Stochasticity in Three Dimensional Asteroidal Resonances.- 5. Chaotic Diffusion in the 2/1, 3/2 and 4/3 Jovian Resonances.- 6. On the Similarities and Differences Between 3/2 and 2/1 Asteroidal Resonances.- 7. A Study of Chaos in the Asteroid Belt.- 8. Hopping in the Kuiper Belt and Significance of the 2:3 Resonance.- 9. The Solar System Beyond Neptune.- 10. Dynamical Study of Trans-Neptunian Objects at the 2:3 Resonance.- 11. Superosculating Intermediate Orbits and their Application in the Problem of Investigation of the Motion of Asteroids and Comets.- 12. Tests of General Relativity using Small Bodies of the Solar System.- Section Two: Near Earth Objects.- 13. Introduction.- 14. Dynamics of Planet-Crossing Asteroids.- 15. Asteroid and Comet Encounters with the Earth. Impact Hazard and Collission Probability.- 16. Optimal Low-Thrust Interception and Deflection of Earth-Crossing Asteroids.- 17. Secular Resonances: Transport Mechanism to Earth-Crossing Orbits.- 18. Meteoroid Streams and Meteor Showers.- 19. Planetary Close Encounters: The Engine of Cometary Orbital Evolution.- 20. Galactic Perturbations in the Motion of Comets.- Section Three: Natural and Artificial Satellites.- 21. Introduction.- 22. Orbits of Saturn’s Satellites: Some Aspects of Commensurabilities and Periodic Orbits.- 23. How Ideal is the Mimas-Tethys Resonance?.- 24. The Dynamics of Planetary Rings and Small Satellites.- 25. Long-Term Evolution of Coorbital Motion.- 26. Stability of Perturbed Coorbital Satellites.- 27. Instability and Chaotic Motion for Some Fictitious Satellites of Venus and Mars.- 28.Applications of a High Order Secular Perturbation Theory. The Uranian Satellites and Beyond.- 29. Non-Integrability of the Motion of a Point Mass around a Planet of Arbitrary Schape.- 30. Dynamics of Satellites with Multi-Day Periods.- 31. Translunar Halo Orbits in the Quasibicircular Problem.- 32. Problems Connected with the Rotational Dynamics of Celestial Bodies.- 33. Closed Form Expressions for Some Gravitational Potentials. Triangle, Rectangle, Pyramid and Polyhedron.- 34. Orbital Elements of a Satellite Moving in the Potential of a Hemispherical Shell.- Section Four: Few Body Systems.- 35. Introduction.- 36. Some Special Solutions of the Four-Body Problem..- 37. Some Equal Mass Four-Body Equilibrium Configurations: Linear Stability Analysis.- 38. The Finite-Time Stability Method Applied to Planets of Binary Stars.- 39. Dynamics and Stability of Three-Body Systems.- 40. New Numerical Method for Non-Conservative Systems.- 41. Tidal Friction in Triple Systems: A Means of Producing Close Stellar and Planetary Orbits.- 42. Special Version of the Three-Body Problem.- 43. Bifurcations in the Mass Ratio of the Planar Isosceles Three-Body Problem.- Section Five: Studies of Dynamical Systems.- 44. Introduction.- 45. Dynamical Spectra.- 46. Angular Dynamical Spectra and their Applications.- 47. Weak Chaos and Diffusion in Hamiltonian Systems. From Nekhoroshev to Kirkwood.- 48. On the Relationship between Local Lyapunov Characteristic Numbers, Largest Eigenvalues and Maximum Stretching Parameters.- 49. “Stickiness” in Dynamical Systems.- 50. Distribution of Periodic Orbits in 2-D Hamiltonian Systems.- 51. The Many Faces of Dynamical Instability I: The definition of “Chaos” and the (In)equivalence of Different Indicators.- 52. The Many Faces of Dynamical InstabilityII: The Sources “Chaos” in Dynamical Systems.- 53. Scale Relativity in the Solar System. A Review and Prospects.- 54. Possible Cosmological Origin of Counterrotating Galaxies.- 55. Gylden-like Systems and DEF-Mappings.- 56. Uniform Development of a TR-Transformation to Generalized Universal Variables.- Epilogue: The Shape of Things to Come.- 57. Future Planetary Missions.- Participants and Speakers.- Subject and Author Indexes.