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February 20th, 2012, 12:10 PM   #1
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Kepler's Laws

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February 23rd, 2012, 07:12 PM   #2
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Re: Kepler's Laws

If you can get your hands on a copy of Ordinary Differential Equations by Morris Tenenbaum and Harry Pollard, Dover Publications ISBN 0-486-64940-7, read lesson 34 in which all of Kepler's laws are clearly and lucidly proven using a notation nearly identical to that which you have given. At the end of the section they demonstrate how Newton took Kepler's laws and showed they imply his universal law of gravitation.
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