Show that the period of a particle that moves in a circular orbit close to the surface

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Show that the period of a particle that moves in a circular orbit close to the surface of a sphere depends only upon \(G\) and the average density \(ho\) of the sphere. Find what this period would be for any sphere having an average density equal to that of water. (The sphere consisting of the planet Jupiter nearly qualifies!)

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Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

Authors: T. M. Helliwell, V. V. Sahakian

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