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PHY2048_11-06-09 - Planets and Satellites Kepler's Laws...

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Stars follow regular paths in the evening sky. They rotate once every 24 hours about an axis that passes through the star polari Planets and Satellites: Kepler' s. Polaris is the only star th s Laws at does not move in the sky. The stars have fixed spatial relationships among them. Humans have classified them in groups known as "constellations" Polaris Celestial sphere Rotation Axis of the Celestial sphere earth N S Star (13-11)
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In contrast, planets follow complicated paths in the sky. An example of such motion is given in the figure. Tycho Brahe made very careful measurementsof planetary motions but he died before he had the chance to analyze his data. (13-12) This task was carried out by his assistant Johannes Kepler who summarized the results into three empirical laws known by his name. Later, Newton used his second law of motion with his gravitational law and the newly developed methods of calculus and derived Kepler's laws
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