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# The Collected Mathematical Works of George William Hill, Vol. 4 (Classic Reprint)

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The Collected Mathematical Works of George William Hill, Vol. 4 (Classic Reprint)

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Excerpt from The Collected Mathematical Works of George William Hill, Vol. 4In Nos. 220 and 221 of this Journal appears an article by Mr. Stockwell, in which, in opposition to all previous investigators, an acceleration is found for the motion of this element of the lunar orbit. The introductory ...

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**ISBN-13:**9781330291016**ISBN-10:**1330291018**Publisher:**Forgotten Books**Media:**Paperback**Quantity Available:**10 or more**Status:**Available for Immediate Shipment

Excerpt from The Collected Mathematical Works of George William Hill, Vol. 4In Nos. 220 and 221 of this Journal appears an article by Mr. Stockwell, in which, in opposition to all previous investigators, an acceleration is found for the motion of this element of the lunar orbit. The introductory history of this matter given by the author is incomplete, as he passes over without notice the most recent, and perhaps the only correct, determination of the coefficient, viz. : that by Delaunay (Comptes Rendus, Tome LXXIV, pp. 152, 153). Delaunay finds that, assuming - 1270 i-as the value of ns(e1 - e10)dt, the coefficients of i in the motions of the perigee and node are severally -39. 986 and 6. 778. Before astronomers accept the new values advanced by Mr. Stockwell, in order to judge intelligently about the matter, they doubtless would like to know how it happens that the author differs so greatly from his predecessors. No information in the article itself is given on this point; it is strange that the author should deem this a matter of no importance. The explanation is not far to seek; the quantities e and w, which appear in the authors equation (1), are treated as though they suffered no periodic perturbations. Yet the equation is not true unless these two symbols denote severally the eccentricity and longitude of the perigee in the instantaneous orbit which the moon is, at the moment, describing. All the previous investigators, while they do not employ equation (1), have employed methods in which this principle is tacitly admitted. About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www. forgottenbooks. comThis 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.

**ISBN-13 :**9781330291016**ISBN-10 :**1330291018**Media :**Paperback**Pages :**472**Status :**124 on hand

**Author :**George William Hill

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