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Scientific Papers by Sir George Howard Darwin Volume V. Supplementary Volume   By:

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SCIENTIFIC PAPERS BY SIR GEORGE HOWARD DARWIN K.C.B., F.R.S. FELLOW OF TRINITY COLLEGE PLUMIAN PROFESSOR IN THE UNIVERSITY OF CAMBRIDGE VOLUME V SUPPLEMENTARY VOLUME CONTAINING BIOGRAPHICAL MEMOIRS BY SIR FRANCIS DARWIN AND PROFESSOR E. W. BROWN, LECTURES ON HILL'S LUNAR THEORY, etc. EDITED BY F. J. M. STRATTON, M.A., and J. JACKSON, M.A., B.Sc. Cambridge: at the University Press 1916 Cambridge: PRINTED BY JOHN CLAY, M.A. AT THE UNIVERSITY PRESS PREFACE Before his death Sir George Darwin expressed the view that his lectures on Hill's Lunar Theory should be published. He made no claim to any originality in them, but he believed that a simple presentation of Hill's method, in which the analysis was cut short while the fundamental principles of the method were shewn, might be acceptable to students of astronomy. In this belief we heartily agree. The lectures might also with advantage engage the attention of other students of mathematics who have not the time to enter into a completely elaborated lunar theory. They explain the essential peculiarities of Hill's work and the method of approximation used by him in the discussion of an actual problem of nature of great interest. It is hoped that sucient detail has been given to reveal completely the underlying principles, and at the same time not be too tedious for veri cation by the reader. During the later years of his life Sir George Darwin collected his principal works into four volumes. It has been considered desirable to publish these lectures together with a few miscellaneous articles in a fth volume of his works. Only one series of lectures is here given, although he lectured on a great variety of subjects connected with Dynamics, Cosmogony, Geodesy, Tides, Theories of Gravitation, etc. The substance of many of these is to be found in his scienti c papers published in the four earlier volumes. The way in which in his lectures he attacked problems of great complexity by means of simple analytical methods is well illustrated in the series chosen for publication. Two addresses are included in this volume. The one gives a view of the mathematical school at Cambridge about 1880, the other deals with the mathematical outlook of 1912. The previous volumes contain all the scienti c papers by Sir George Darwin published before 1910 which he wished to see reproduced. They do not include a large number of scienti c reports on geodesy, the tides and other subjects which had involved a great deal of labour. Although the reports were of great value for the advancement and encouragement of science, he did not think it desirable to reprint them. We have not ventured to depart from his own considered decision; the collected lists

PREFACE vi at the beginning of these volumes give the necessary references for such papers as have been omitted. We are indebted to the Royal Astronomical Society for permission to complete Sir George Darwin's work on Periodic Orbits by reproducing his last published paper. The opportunity has been taken of securing biographical memoirs of Darwin from two di erent points of view. His brother, Sir Francis Darwin, writes of his life apart from his scienti c work, while Professor E. W. Brown, of Yale University, writes of Darwin the astronomer, mathematician and teacher. F. J. M. S. J. J. Greenwich, 6 December 1915.

CONTENTS Portrait of Sir George Darwin. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Frontispiece PAGE Memoir of Sir George Darwin by his brother Sir Francis Darwin . . . viii The Scientific Work of Sir George Darwin by Professor E. W. Brown xl Inaugural lecture (Delivered at Cambridge, in 1883, on Election to the Plumian Professorship). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Introduction to Dynamical Astronomy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Lectures on Hill's Lunar Theory . . . . . . . . ... Continue reading book >>

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