Qualitative and quantitative behaviour of planetary systems; Proceedings of the 3rd Alexander von Humboldt Colloquium on Celestial Mechanics, Ramsau, Austria, Mar. 29-Apr. 4, 1992

Mathematics – Dynamical Systems

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Conferences, Planetary Systems, Artificial Satellites, Asteroids, Binary Stars, Chaos, Computerized Simulation, Dynamical Systems, Hamiltonian Functions, Hyperion, Liapunov Functions, Meteorites, Orbital Resonances (Celestial Mechanics), Planetary Orbits, Satellite Orbits, Solar Orbits, Three Body Problem

Scientific paper

Topics addressed include planetary theories, the Sitnikov problem, asteroids, resonance, general dynamical systems, and chaos and stability. Particular attention is given to recent progress in the theory and application of symplectic integrators, a computer-aided analysis of the Sitnikov problem, the chaotic behavior of trajectories for the asteroidal resonances, and the resonant motion in the restricted three-body problem. Also discussed are the second order long-period motion of Hyperion, meteorites from the asteroid 6 Hebe, and least squares parameter estimation in chaotic differential equations.

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