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The Dynamical Behaviour of our Planetary System

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Cover of 'The Dynamical Behaviour of our Planetary System'

Table of Contents

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    Book Overview
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    Chapter 1 Scattering By Resonances
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    Chapter 2 Non-Integrability in Hamiltonian Mechanics
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    Chapter 3 Regular and Irregular Periodic Orbits
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    Chapter 4 Universal Properties of Escape in Dynamical Systems
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    Chapter 5 Mapping and Dynamical Systems
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    Chapter 6 A New Fast Fourier Method for Evaluating Fourier Spectra at Arbitrary Frequencies
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    Chapter 7 On the use of Analytical Theories in the Calculation of Precession-Nutation
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    Chapter 8 The Nekhoroshev Theorem and the Asteroid Belt Dynamical System
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    Chapter 9 Frequency Modified Fourier Transform and its Application to Asteroids
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    Chapter 10 The Trojan Problem
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    Chapter 11 Dynamical Transport to Planet-Crossing Orbits
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    Chapter 12 Review of the Dynamics in the Kirkwood Gaps
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    Chapter 13 Open Problems on the Eve of the Next Millennium
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    Chapter 14 Limits of Comprehension, Reference Frames and General Relativity
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    Chapter 15 Stable Chaos: A First Model
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    Chapter 16 Transport in Perturbed Integrable Hamiltonian Systems and the Fractality of Phase Space
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    Chapter 17 Equilibria Bifurcations of Satellite Orbits
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    Chapter 18 Fast Lyapunov Indicators Comparison with other Chaos Indicators Application to Two and Four Dimensional Maps
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    Chapter 19 Asteroid Motion Near the 2:1 Resonance: A Symplectic Mapping Approach
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    Chapter 20 Symplectic Integrators for Hill’s Lunar Problem
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    Chapter 21 Rotation Number and Global Stability of Symplectic Integrator
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    Chapter 22 On a Global Expansion of the Planar Disturbing Function
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    Chapter 23 Links Between Time Scales Using Barycentric Relativistic Ephemerides
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    Chapter 24 Orbital Stability of Planetary Quasi-Satellites
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    Chapter 25 Alternative Derivations of Perturbations with Use of a Mixed Reference-Plane System: Application to the Motion of the Orbit Plane of Hyperion
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    Chapter 26 Astrodynamic Study of the Earth Rotation
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    Chapter 27 Orbital Evolution of Asteroids in the Hecuba Gap
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    Chapter 28 A Study of the Local Lyapunov Numbers for Orbits in the Outer Solar System
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    Chapter 29 On the Influence of Supernova Shockfronts on the Stability of the Solar System
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    Chapter 30 Henri Poincaré: A Decisive Contribution to Special Relativity
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    Chapter 31 Periodic Orbits in the Sitnikov Problem
Attention for Chapter 14: Limits of Comprehension, Reference Frames and General Relativity
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Chapter title
Limits of Comprehension, Reference Frames and General Relativity
Chapter number 14
Book title
The Dynamical Behaviour of our Planetary System
Published by
Springer Netherlands, January 1997
DOI 10.1007/978-94-011-5510-6_14
Book ISBNs
978-9-40-106320-3, 978-9-40-115510-6
Authors

Heinrich Eichhorn

Editors

R. Dvorak, J. Henrard