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The Dynamics of Small Bodies in the Solar System : A Major Key to Solar Systems Studies - B.A. Steves

The Dynamics of Small Bodies in the Solar System

A Major Key to Solar Systems Studies

By: B.A. Steves (Editor), Archie E. Roy (Editor)

Hardcover Published: 31st December 1998
ISBN: 9780792354666
Number Of Pages: 616

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The study of the nature and dynamics of asteroids, comets, meteor streams, natural satellites and ring systems currently provides a wealth of information on the history and dynamical evolution of the solar system as a whole. This state of the art textbook, based on the recent NATO ASI The Dynamics of Small Bodies in the Solar System and written by the invited lecturers and other participants, provides an invaluable reference volume for all students and researchers in these subjects. The contributions are introduced by specially written reviews from renowned experts in their fields. It is evident that the majority of dynamical astronomers and space researchers interested in solar system studies are currently involved with the study of small natural and artificial bodies in the solar system, and this volume presents them with an up-to-date, synoptic view of these subjects.

Prefacep. xi
In Memory of Victory Szebehelyp. xiii
Asteroids and Trans-Neptunian Objects
Introductionp. 1
On High-Eccentricity Small-Amplitude Asteroidal Librationsp. 7
A. Symplectic Mapping Approach for the Study of Stochasticity in Three Dimensional Asteroidal Resonancesp. 13
Chaotic Diffusion in the 2/1, 3/2 and 4/3 Jovian Resonancesp. 19
On the Similarities and Differences Between 3/2 and 2/1 Asteroidal Resonancesp. 25
A Study of Chaos in the Asteroid Beltp. 31
Hopping in the Kuiper Belt and Significance of the 2:3 Resonancep. 37
The Solar System Beyond Neptunep. 51
Dynamical Study of Trans-Neptunian Objects at the 2:3 Resonancep. 65
Superosculating Intermediate Orbits and their Application in the Problem of Investigation of the Motion of Asteroids and Cometsp. 71
Tests of General Relativity using Small Bodies of the Solar Systemp. 77
Near Earth Objects
Introductionp. 93
Dynamics of Planet-Crossing Asteroidsp. 95
Asteroid and Comet Encounters with the Earth. Impact Hazard and Collission Probabilityp. 127
Optimal Low-Thrust Interception and Deflection of Earth-Crossing Asteroidsp. 159
Secular Resonances: Transport Mechanism to Earth-Crossing Orbitsp. 171
Meteoroid Streams and Meteor Showersp. 179
Planetary Close Encounters: The Engine of Cometary Orbital Evolutionp. 187
Galactic Perturbations in the Motion of Cometsp. 197
Natural and Artificial Satellites
Introductionp. 203
Orbits of Saturn's Satellites: Some Aspects of Commensurabilities and Periodic Orbitsp. 207
How Ideal is the Mimas-Tethys Resonance?p. 227
The Dynamics of Planetary Rings and Small Satellitesp. 233
Long-Term Evolution of Coorbital Motionp. 257
Stability of Perturbed Coorbital Satellitesp. 277
Instability and Chaotic Motion for Some Fictitious Satellites of Venus and Marsp. 283
Applications of a High Order Secular Perturbation Theory. The Uranian Satellites and Beyondp. 289
Non-Integrability of the Motion of a Point Mass around a Planet of Arbitrary Schapep. 295
Dynamics of Satellites with Multi-Day Periodsp. 303
Translunar Halo Orbits in the Quasibicircular Problemp. 309
Problems Connected with the Rotational Dynamics of Celestial Bodiesp. 315
Closed Form Expressions for Some Gravitational Potentials. Triangle, Rectangle, Pyramid and Polyhedronp. 321
Orbital Elements of a Satellite Moving in the Potential of a Hemispherical Shellp. 341
Few Body Systems
Introductionp. 349
Some Special Solutions of the Four-Body Problemp. 351
Some Equal Mass Four-Body Equilibrium Configurations: Linear Stability Analysisp. 373
The Finite-Time Stability Method Applied to Planets of Binary Starsp. 379
Dynamics and Stability of Three-Body Systemsp. 385
New Numerical Method for Non-Conservative Systemsp. 393
Tidal Friction in Triple Systems: A Means of Producing Close Stellar and Planetary Orbitsp. 399
Special Version of the Three-Body Problemp. 407
Bifurcations in the Mass Ratio of the Planar Isosceles Three-Body Problemp. 413
Studies of Dynamical Systems
Introductionp. 425
Dynamical Spectrap. 429
Angular Dynamical Spectra and their Applicationsp. 455
Weak Chaos and Diffusion in Hamiltonian Systems. From Nekhoroshev to Kirkwoodp. 463
On the Relationship between Local Lyapunov Characteristic Numbers, Largest Eigenvalues and Maximum Stretching Parametersp. 503
"Stickiness" in Dynamical Systemsp. 509
Distribution of Periodic Orbits in 2-D Hamiltonian Systemsp. 535
The Many Faces of Dynamical Instability I: The definition of "Chaos" and the (In)equivalence of Different Indicatorsp. 545
The Many Faces of Dynamical Instability II: The Sources "Chaos" in Dynamical Systemsp. 551
Scale Relativity in the Solar System. A Review and Prospectsp. 557
Possible Cosmological Origin of Counterrotating Galaxiesp. 565
Gylden-like Systems and DEF-Mappingsp. 575
Uniform Development of a TR-Transformation to Generalized Universal Variablesp. 581
Epilogue: The Shape of Things to Come
Future Planetary Missionsp. 587
Participants and Speakersp. 595
Subject and Author Indexesp. 603
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780792354666
ISBN-10: 0792354664
Series: NATO SCIENCE SERIES SERIES C: MATHEMATICAL AND PHYSICAL SCIENCES
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 616
Published: 31st December 1998
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 24.77 x 17.78  x 3.81
Weight (kg): 1.11