The Dynamics of Small Bodies in the Solar System

Front Cover
B.A. Steves, Archie E. Roy
Springer Science & Business Media, Dec 31, 1998 - Science - 616 pages
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.
 

Contents

On HighEccentricity SmallAmplitude Asteroidal Librations
7
A Symplectic Mapping Approach for the Study
13
Chaotic Diffusion in the 21 32 and 43 Jovian Resonances
19
On the Similarities and Differences Between 32
25
A Study of Chaos in the Asteroid Belt
31
3 Resonance
37
The Solar System Beyond Neptune
51
3 Resonance
65
Problems Connected with the Rotational Dynamics
315
Closed Form Expressions for Some Gravitational Potentials
321
Orbital Elements of a Satellite Moving in the Potential of
341
Few Body Systems
349
The FiniteTime Stability Method Applied to Planets of Binary Stars
379
Dynamics and Stability of ThreeBody Systems
385
New Numerical Method for NonConservative Systems
393
A Means of Producing Close
399

Superosculating Intermediate Orbits and their Application in
71
Tests of General Relativity using Small Bodies of the Solar System
77
Near Earth Objects
93
Asteroid and Comet Encounters with the Earth Impact Hazard
127
Optimal LowThrust Interception and Deflection of Earth
159
Transport Mechanism to EarthCrossing Orbits
171
Meteoroid Streams and Meteor Showers
179
The Engine of Cometary
187
Galactic Perturbations in the Motion of Comets
197
Natural and Artificial Satellites
203
How Ideal is the MimasTethys Resonance?
227
The Dynamics of Planetary Rings and Small Satellites
233
LongTerm Evolution of Coorbital Motion
257
Stability of Perturbed Coorbital Satellites
277
Instability and Chaotic Motion for Some Fictitious Satellites
283
Applications of a High Order Secular Perturbation Theory
289
NonIntegrability of the Motion of a Point Mass around a Planet
295
Dynamics of Satellites with MultiDay Periods
303
Translunar Halo Orbits in the Quasibicircular Problem
309
Special Version of the ThreeBody Problem
407
Bifurcations in the Mass Ratio of the Planar Isosceles
413
Studies of Dynamical Systems
425
Angular Dynamical Spectra and their Applications
455
Weak Chaos and Diffusion in Hamiltonian Systems From
463
On the Relationship between Local Lyapunov Characteristic Numbers
503
Stickiness in Dynamical Systems
509
Distribution of Periodic Orbits in 2D Hamiltonian Systems
535
The definition
545
The Sources
551
Scale Relativity in the Solar System A Review and Prospects
557
Possible Cosmological Origin of Counterrotating Galaxies
565
Gyldenlike Systems and DEFMappings
575
Uniform Development of a TRTransformation to Generalized
581
The Shape of Things to Come
587
Participants and Speakers
595
Subject and Author Indexes
603
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