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The Analyst, 1881, Vol. 8: A Journal of Pure and Applied Mathematics (Classic Reprint)

The Analyst, 1881, Vol. 8: A Journal of Pure and Applied Mathematics (Classic Reprint)

          
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About the Book

Excerpt from The Analyst, 1881, Vol. 8: A Journal of Pure and Applied Mathematics

On the assumption that in each case the mean density of the separated mass was equal to that of the central body, the sun's present radius multi plied by the respective numbers ia column fourth will give the radii of the solar nebula when the planets extended to their respective limits of stability. These radii are less than the mean distances of the planets in the ratio of 1 to This fact may have some significance in regard to the former oblateness of the solar nebula or the law of its density.

T he Earth and the Moon. - For the moon, which in perigee approaches within 221500 miles of the earth, the limit of stability is about 38000 miles, Were the moon's density reduced to that of the earth its radius would be 916 miles, the ratio of which to the limit of stability is 1 The moon's least distance diminished by 38000 miles is 183500 miles. If our satellite originally extended to the limit, and if the. Moon and the earth had the same form and density, the radius of the latter was 165000 miles.

The Martian System - The diameter of Phobos, according to Prof. Pick ering, is miles. If its density, therefore, be equal to that of Mars the limit of stability is about two miles exterior to the surface; or, if the density be to that of the primary in the same ratio as the density of the moon to that of the earth, the limit is less than a mile from the surface of the satellite.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.


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Product Details
  • ISBN-13: 9780282993818
  • Publisher: Forgotten Books
  • Publisher Imprint: Forgotten Books
  • ISBN-10: 0282993819
  • Publisher Date: 15 Feb 2019


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