Long Term Evolution of Planetary Systems - Rudolf Dvorak

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Résumé :
Session on Planetary Dynamics (Chairman: J. Henrard).- Integration Error over Very Long Time Spans.- Alternative Representation of Planetary Perturbations (abstract only).- Fitting a Line to a Sine.- Stable Planetary Orbits Around One Component in Nearby Binary Stars.- Planet X - The Current Status.- Session on Resonance Problem (Chairman: J. Schubart).- On Resonance.- The 3/2 Resonance.- Sweeping Through a Second Order Resonance.- Secular Resonances: New Results.- Normal Co-Ordinates and Asymptotic Expansions in Resonance Cases in Celestial Mechanics.- The Critical Inclination Problem: 30 Years of Progress.- Limils of Predictability of Gravitational Systems.- Session on General Dynamical Systems (Chairman: R. Dvorak).- Short and Long Period Orbits.- Stability of Particle Orbits.- A Small Example of Arnold Diffusion.- Area-preserving Poincar? Mappings of the Unit Disk.- Two-Body Motion in the Post-Newtonian Approximation.- The General Kepler Equation and Its Solutions.- Integration Theory for the Restricted Three-Body Problem with Application to P-Type Orbits.- Physical Time and Astronomical Time.- Session on Comets and Asteroids (Chairman: V. Szebehely).- Cometary Dynamics.- Monte Carlo Modelling of Cometary Dynamics.- Orbital Evolution Studies of Planet-Crossing Asteroids.- Long Periodic Perturbations of Trojan Asteroids.- Resonant Asteroids Between the Main Belt and Jupiter's Orbit.- On the Past Orbital History of Comet P/Halley.- Long Term Evolution of Comet Halleys Orbit (abstract).- On the Stochasticity of Halley Like Comets.- Session on Satellites (Chairman: S. Ferraz-Mello).- Long-Term Evolution of the Orbits of Natural Satellites.- Elliptical Hill's Problem (Large and Small Impact Parameters).- New Results on the Possible Chaotic Motion ofEnceladus.- Session on Periodic Orbits (Chairman: C. Froeschl?).- Periodic Orbits of the Planetary Type and Their Stability.- Stability of Periodic Resonance-Orbits in the Elliptic Restricted 3-Body Problem.- Bounded Orbits in the Elliptic Restricted Three-Body Problem.- Reports on Evening Discussions.- Discussion of Current Status of Planet X.- Relation Between Small Bodies: Discussion.- Predictability in Dynamical Systems.- Call for Papers....

Sommaire:
Session on Planetary Dynamics (Chairman: J. Henrard).- Integration Error over Very Long Time Spans.- Alternative Representation of Planetary Perturbations (abstract only).- Fitting a Line to a Sine.- Stable Planetary Orbits Around One Component in Nearby Binary Stars.- Planet X ? The Current Status.- Session on Resonance Problem (Chairman: J. Schubart).- On Resonance.- The 3/2 Resonance.- Sweeping Through a Second Order Resonance.- Secular Resonances: New Results.- Normal Co-Ordinates and Asymptotic Expansions in Resonance Cases in Celestial Mechanics.- The Critical Inclination Problem: 30 Years of Progress.- Limils of Predictability of Gravitational Systems.- Session on General Dynamical Systems (Chairman: R. Dvorak).- Short and Long Period Orbits.- Stability of Particle Orbits.- A Small Example of Arnold Diffusion.- Area-preserving Poincar? Mappings of the Unit Disk.- Two-Body Motion in the Post-Newtonian Approximation.- The General Kepler Equation and Its Solutions.- Integration Theory for the Restricted Three-Body Problem with Application to P-Type Orbits.- Physical Time and Astronomical ?Time?.- Session on Comets and Asteroids (Chairman: V. Szebehely).- Cometary Dynamics.- Monte Carlo Modelling of Cometary Dynamics.- Orbital Evolution Studies of Planet-Crossing Asteroids.- Long Periodic Perturbations of Trojan Asteroids.- Resonant Asteroids Between the Main Belt and Jupiter?s Orbit.- On the Past Orbital History of Comet P/Halley.- Long Term Evolution of Comet Halleys Orbit (abstract).- On the Stochasticity of Halley Like Comets.- Session on Satellites (Chairman: S. Ferraz-Mello).- Long-Term Evolution of the Orbits of Natural Satellites.- Elliptical Hill?s Problem (Large and Small Impact Parameters).- New Results on the Possible Chaotic Motion of Enceladus.- Session on Periodic Orbits (Chairman: C. Froeschl?).- Periodic Orbits of the Planetary Type and Their Stability.- Stability of Periodic Resonance-Orbits in the Elliptic Restricted 3-Body Problem.- Bounded Orbits in the Elliptic Restricted Three-Body Problem.- Reports on Evening Discussions.- Discussion of Current Status of Planet X.- Relation Between Small Bodies: Discussion.- Predictability in Dynamical Systems.- Call for Papers.