The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Maratea-Acquafredda, Italy, between June 29 and July 12, 1997, entitledTHE DYNAMICS OF SMALL BODIES IN THE SOLAR SYSTEM: A MAJOR KEY TO SOLAR SYSTEM STUDIES . This Advanced Study Institute was the latest in the 'Cortina' series of NATO ASI's begun in the early 1970's firstly under the directorship of Professor Victor Szebehely and subsequently under Professor Archie Roy. All, except the latest, were held at the Antonelli Institute, Cortina d'Ampezzo, Italy. Many of those now active in the field…mehr
The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Maratea-Acquafredda, Italy, between June 29 and July 12, 1997, entitledTHE DYNAMICS OF SMALL BODIES IN THE SOLAR SYSTEM: A MAJOR KEY TO SOLAR SYSTEM STUDIES . This Advanced Study Institute was the latest in the 'Cortina' series of NATO ASI's begun in the early 1970's firstly under the directorship of Professor Victor Szebehely and subsequently under Professor Archie Roy. All, except the latest, were held at the Antonelli Institute, Cortina d'Ampezzo, Italy. Many of those now active in the field made their first international contacts at these Institutes. The Institutes bring together many of the brightest of our young people working in dynamical astronomy, celestial mechanics and space science, enabling them to obtain an up-to-date synoptic view of their subjects delivered by lecturers of high international reputation. The proceedings from these institutes have been well-received in the internationalcommunity of research workers in the disciplines studied. The present institute included 15 series of lectures given by invited speakers and some 45 presentations made by the other participants. The majority of these contributions are includedinthese proceedings.
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.
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.
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