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Science and Sensitivity Science & Computers PHY307/PHY607 Oct. 8, 2002. Proposals due Thursday, beginning of class. 39 SATELLITES, NOW ID’ed. Regularities?. Orbital period Time for satellite to orbit planet or planet or asteroid to orbit Sun. Rotational period Time to spin on its axis.
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Science and SensitivityScience & ComputersPHY307/PHY607Oct. 8, 2002 Proposals due Thursday, beginning of class. PHY307, Fall 2002
Regularities? • Orbital period • Time for satellite to orbit planet or planet or asteroid to orbit Sun. • Rotational period • Time to spin on its axis. PHY307, Fall 2002
Rotational period to orbital period Moon • Rotational period to orbital period Phobos • Rotational period to orbital period Deimos • Rotational period to orbital period Thebe • Rotational period to orbital period Io • Rotational period to orbital period Hyperion • Rotational period to orbital period Titania • Rotational period to orbital period Umbriel • Rotational period to orbital period Miranda • Rotational period to orbital period Tethys • Rotational period to orbital period Iapetus • Rotation period of Pluto to orbital period of Charon • Rotation period of Pluto to rotational period of Charon • Orbital period of Mimas to orbital period of Pandora • Orbital period of Mercury to rotational period of Mercury • Orbital period of Pluto to orbital period of Neptune • Orbital period of Cruithne to orbital period of Earth. • Orbital period of Hyperion to orbital period of Titan.
Mode locking • Requires friction • so can settle into stable situation • Requires “nonlinearity” • Response to perturbations or outside effects is not just the sum of the responses to individual perturbations or effects. • Kick twice as hard, doesn’t move twice as far. PHY307, Fall 2002
Examples • Moon. • Sun. • Walking. • Fireflies interested in reproducing. PHY307, Fall 2002
Stability of the Solar System • Some is quite regular. • Looks OK as far as anyone can tell. • BUT • There ARE chaotic elements. • Collisions of asteroids with one planet would be of interest. PHY307, Fall 2002