The Dynamical Behaviour of Our Planetary System : Proceedings of the 4th Alexander von Humboldt Colloquium on Celestial Mechanics, Ramsau, Austria, 1996

Proceedings of the 4th Alexander von Humboldt Colloquium on Celestial Mechanics, Ramsau, Austria, 1996

By: Jacques Henrard (Editor), R. Dvorak (Editor)

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Hardcover | 1 April 1997

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444 Pages

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The papers in this volume cover a large range of questions concerning the dynamics of objects of the Solar System, from theoretical Hamiltonian mechanics to the study of the dynamical behaviour of specific objects, with a strong emphasis on the detection, causes and effects of chaotic behaviour. Several papers describe the very latest contributions in two very lively and recent topics which are considered as a major breakthrough in numerical dynamics: symplectic methods of numerical integration of Hamiltonian systems, and methods for spectral analysis of numerically computed orbits leading to refined tools for the detection and evaluation of chaos. The dynamics of the asteroid belt and other small objects, a fast-moving topic with important implications for the origin and evolution of the Solar System, is also extensively covered. The volume will be of interest to mathematicians and physicists interested in Hamiltonian mechanics and in the dynamics of the Solar System.

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Preface
Scattering by Resonances	p. 1
Non-Integrability in Hamiltonian Mechanics	p. 21
Regular and Irregular Periodic Orbits	p. 33
Universal Properties of Escape in Dynamical Systems	p. 57
Mapping and Dynamical Systems	p. 69
A New Fast Fourier Method for Evaluating Fourier Spectra at Arbitrary Frequencies	p. 85
On the Use of Analytical Theories in the Calculation of Precession-Nutation	p. 95
The Nekhoroshev Theorem and the Asteroid Belt Dynamical System	p. 107
Frequency Modified Fourier Transform and its Application to Asteroids	p. 137
The Trojan Problem	p. 149
Dynamical Transport to Planet-Crossing Orbits	p. 165
Review of the Dynamics in the Kirkwood Gaps	p. 175
Open Problems on the Eve of the Next Millennium	p. 205
Limit of Comprehension, Reference Frames. Reference Frames and General Relativity	p. 213
Stable Chaos: A First Model	p. 223
Transport in Perturbed Integrable Hamiltonian Systems and the Fractality of Phase Space	p. 233
Equilibria Bifurcations of Satellite Orbits	p. 243
Fast Lyapunov Indicators. Comparison with Other Chaos Indicators. Application to Two and Four Dimensional Maps	p. 257
Asteroid Motion near the 2:1 Resonance: A Symplectic Mapping Approach	p. 277
Symplectic Integrators for Hill's Lunar Problem	p. 291
Rotation Number and Global Stability of Symplectic Integrator	p. 307
On a Global Expansion of the Planar Disturbing Function	p. 321
Links between Time Scales Using Barycentric Relativistic Ephemerides	p. 333
Orbital Stability of Planetary Quasi-Satellites	p. 345
Alternative Derivations of Perturbations with Use of a Mixed Reference-Plane System: Application to the Motion of the Orbit Plane of Hyperion	p. 357
Astrodynamic Study of the Earth Rotation	p. 365
Orbital Evolution of Asteroids in the Hecuba Gap	p. 377
A Study of the Local Lyapunov Numbers for Orbits in the Outer Solar System	p. 385
On the Influence of Supernova Shockfronts on the Stability of the Solar System	p. 393
Henri Poincare: A Decisive Contribution to Special Relativity	p. 403
Periodic Orbits in the Sitnikov Problem	p. 415
Table of Contents provided by Blackwell. All Rights Reserved.

The Dynamical Behaviour of Our Planetary System : Proceedings of the 4th Alexander von Humboldt Colloquium on Celestial Mechanics, Ramsau, Austria, 1996

Proceedings of the 4th Alexander von Humboldt Colloquium on Celestial Mechanics, Ramsau, Austria, 1996

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Hardcover

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