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Chaos, Resonance and Collective Dynamical Phenomena in the Solar System : International Astronomical Union Symposia - Sylvio Ferraz-Mello

Chaos, Resonance and Collective Dynamical Phenomena in the Solar System

International Astronomical Union Symposia

By: Sylvio Ferraz-Mello (Editor)

Hardcover Published: 31st May 1992
ISBN: 9780792317814
Number Of Pages: 432

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This symposium was devoted to a new celestial mechanics whose aim has become the study of such `objects' as the planetary system, planetary rings, the asteroidal belt, meteor swarms, satellite systems, comet families, the zodiacal cloud, the preplanetary nebula, etc. When the three-body problem is considered instead of individual orbits we are, now, looking for the topology of extended regions of its phase space. This Symposium was one step in the effort to close the ties between two scientific families: the observationally-oriented scientists and the theoretically-oriented scientists.

Introduction
List of Participants
The Planetary System
A Few Points on the Stability of the Solar Systemp. 1
Long Term Evolution of the Solar Systemp. 17
Numerical Experiments on the Motion of the Outer Planetsp. 25
Numerical Simulations of Planetary Systems of the Jupiter-Saturn Typep. 33
General Theory for the Outer Planetsp. 37
A Planetary Theory with Elliptic Functions and Elliptic Integrals Exhibiting no Small Divisorsp. 43
Secular Variations in Optical Observations of Planetsp. 49
Planetary Rings
Looking for Changes in the Saturnian System Between Voyager and Cassinip. 53
Puzzles and Prospects in Planetary Ring Dynamicsp. 65
Collisional, Collective and Resonance Phenomena in Planetary Ringsp. 75
Planetary Rings: Observational Constraints and Collision Dynamicsp. 83
Collisional Simulations of Isolated Lindblad Resonancesp. 97
Numerical Simulations of Dense Collisional Systems with Extended Distribution of Particle Sizesp. 103
A Collisional and Self-Gravitational Model to Simulate Numerically the Dynamics of Planetary Disksp. 109
The Asteroidal Belt
Stability of Asteroid Motionsp. 115
The Locations of Secular Resonances and the Evolution of Small Solar System Bodiesp. 123
Proper Elements of the Asteroids. A Semi-Analytical Methodp. 133
The Qualitative Explanation of Observed Peculiarities of Hecuba and Hilda Asteroids Distribution by a Common Investigationp. 139
New Results on the Motions of Asteroids in Resonancesp. 145
Very-High-Eccentricity Liberations at Some Higher-Order Resonancesp. 153
Application of Wisdom's Perturbative Method for 5:2 and 7:3 Resonancesp. 159
Corotations in Some Higher-Order Resonancesp. 167
A Catalogue of Periodic Orbits in the Elliptic Restricted 3-body Problemp. 171
The Possible Orbital Evolution of Near-Earth Asteroidsp. 175
A Determination of the Mass of (704) Interamnia from Observations of (993) Moultonap. 179
Binary Asteroids: Secular Perturbationsp. 183
The Principle of Equivalence and the Trojan Asteroids. Part IIp. 185
Planetary Satellites
Chaotic Layers in Resonance Problemsp. 189
A Synthetic Theory of Motion for Titan-Hyperionp. 209
Cross-Tidal Effects and Orbit-Orbit Resonancesp. 215
About the Secular Acceleration of Mimasp. 219
Hori Auxiliary System for Mimas-Tethysp. 223
An Integrable Model for Helenep. 227
Periodic Solutions for the Eccentricity and Inclination First Order Resonancep. 231
Resonance p:p+q in Satellite Orbitsp. 233
Generalized Canonical Systems. Formal Solutions and the Main Problem of Satellite Theoryp. 235
Comets
Comet Showersp. 239
Dynamics of Cometsp. 255
The Evolution of Jupiter Family Comets over 2000 Yearsp. 269
The Long-Term Dynamical Behavior of Small Bodies in the Kuiper Beltp. 275
Splitting of Periodic Cometsp. 281
The Solar Motion, the Galaxy and the Aphelia Distribution of Long Period Cometsp. 287
Rotational Behavior of Cometary-type Bodiesp. 291
Chaotic Alfven Waves in Solar and Cometary Plasmasp. 297
Meteors, Zodiacal Cloud, Nebulae
The Dynamics of Meteoroid Streamsp. 299
Dynamical Aspects of the Taurid Meteor Complexp. 315
On the Relationship Between Comet P/Maccholz and the Quadrantid Meteor Streamp. 325
The Quadrantid Stream, Chaos or Not?p. 329
Dynamics of the Zodiacal Cloudp. 333
Some Aspects of Particle's Dynamicsp. 349
Corotation Solutions in the Elliptic Asteroidal Problem with Stokes Dragp. 355
The Effect of Non-stationary Action on the Motion of Particles in the Protoplanetary Nebulaep. 359
Dynamical Systems. Maps. Integrators
New Developments in Dynamics: Hyperbolicity and Chaotic Dynamicsp. 363
Krein Stability in the Disturbed Two-body Problemp. 369
Mappings in Astrodynamicsp. 375
Mappings for the First-Order Asteroidal Resonancep. 391
New Methods for Long-Time Numerical Integration of Planetary Orbitsp. 395
Symplectic Integrators for Hamiltonian Systems: Basic Theoryp. 407
Subject Indexp. 413
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792317814
ISBN-10: 0792317815
Series: International Astronomical Union Symposia
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 432
Published: 31st May 1992
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 1.69