File:Gravitational attraction of sphere.jpg

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English: When Newton first compared the gravitational acceleration of a body falling at the Earth’s surface (e.g. an apple) with the acceleration required to keep the Moon in its orbit, he had to assume that the ratio of the attractions was inversely as the square of the distances of the respective bodies from the Centre of the Earth. It was much later when he succeeded in proving that the attraction between 2 solid spheres is proportional to the product of their masses and inversely as the square of the distance from their centres (Principia Book 1 Proposition 76). Its proof is based on the preliminary Proposition 71 and the following is a more up to date proof of Newton’s elegant method.
Date
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Author Mikerollem

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current12:46, 6 July 2011Thumbnail for version as of 12:46, 6 July 2011606 × 1,100 (118 KB)Mikerollem (talk | contribs)

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