Urey Prize Lecture - Chaotic dynamics in the solar system

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Chaos, Solar Orbits, Solar System, Tumbling Motion, Asteroids, Eccentricity, Hyperion, Meteorites, Planetary Orbits, Pluto (Planet), Planets, Solar System, Dynamics, Rotation, Orbital Elements, Evolution, Saturn, Satellites, Hyperion, Kirkwood Gaps, Asteroids, Distribution, Trajectories, Eccentricity, Inclination, Pluto, Calculations, Shape, Mars, Deimos, Phobos, Diagrams, Hilda Asteroids, Giant Planets, Motion

Scientific paper

Newton's equations have chaotic solutions as well as regular solutions. There are several physical situations in the solar system where chaotic solutions of Newton's equations play an important role. There are examples of both chaotic rotation and chaotic orbital evolution. Hyperion is currently tumbling chaotically. Many of the other irregularly shaped satellites in the solar system have had chaotic rotations in the past. This episode of chaotic tumbling could have had a significant effect on the orbital histories of these satellites. Chaotic orbital evolution seems to be an essential ingredient in the explanation of the Kirkwood gaps in the distribution of asteroids. Chaotic trajectories at the 3/1 commensurability have the correct properties to provide a dynamical route for the transport of meteoritic material from the asteroid belt to Earth.

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