Transactions And Proceedings And Report Of The Philosophical Society Of Adelaide South Australia 1879 Classic Reprint PDF Download

Excerpt from Philosophical Transactions of the Royal Society of London, Vol. 170: For the Year 1879; Part II As some persons may Wish to Obtain a general idea Of the drift Of the inquiry with out reading a long mathematical argument, I have adhered to the plan ad opted in my former paper, Of giving at the end (in Part III.) a general view Of the Whole subject, with references back to such parts as it did not seem desirable to reproduce. In order not to interrupt the mathematical argument in the body Of the paper, the discussion of the physical Significance Of the several results is given along with the summary such discussions will moreover be far more satisfactory when thrown into a continuous form than when scattered in isolated paragraphs throughout the paper. I have tried, however, to prevent the mathematical part from being too bald of comments, and to place the reader in a position to comprehend the general line of investigation. Before entering on analysis, it is necessary to give an explanation Of how this inquiry joins itself on to that Of my previous paper. In that paper it was Shown that, if the influence of the disturbing body be expressed in the form Of a potential, and if that potential be expressed as a series of solid harmonic functions Of points within the disturbed spheroid, each multiplied by a Simple time harmonic, then each such harmonic term raises a tide in the disturbed Spheroid, which is the same as though all the other terms were non-existent. This is true, whether the spheroid be fluid, elastic, viscous, or elastico-viscous. Further, the free surface Of the Spheroid, as tidally distorted by any term, is expressible by a surface harmonic of the same type as that Of the generating term; and where there is a frictional resistance to the tidal motion, the phase Of the corresponding simple time harmonic is retarded. The height Of each tide, and the retardation of phase (or the lag) are functions Of the frequency Of the tide, and Of the constants expressive Of the physical constitution Of the spheroid. Each such term in the expression for the form Of the tidally distorted spheroid may be conveniently referred to as a simple tide. 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.