Excerpt from The Collected Mathematical Works of George William Hill, Vol. 3
It was not until 1748 that any computation of the perturbations of Jupiter and Saturn, in accordance with the theory of gravitation, was undertaken. This was by Ems. He appears to have limited himself to the terms which have the mean elonga tion of the planets from each other as their argument. Later the terms factored by the simple power of the eccentricities were added by himself, lalande, lagrange, bailly, and lambert. But these terms not bringing about a reconciliation between observation and theory, lagrange and laplace were led to make their notable researches on the possibility of secular equations in the mean motions of the planets. At length the whole difficulty with Jupiter and Saturn was removed by laplace's discovery of the great inequalities in 1786.
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Paperback. Condition: New. Print on Demand. This book presents a new theory on Jupiter and Saturn, which includes an examination of their mutual gravities and the mechanical perturbations affecting them. The research conducted for this book laid the groundwork for the theories used by later experts to guide and refine the development of modern astronomical calculations. The author, with the assistance of modern computational advancements, developed a method for calculating the perturbations of Jupiter and Saturn with unprecedented accuracy. The result was a new theory for the positions of Jupiter and Saturn that was ahead of its time, with the precision to provide insights into the interactions and movements of these planets. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330346839_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330346839
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330346839
Quantity: 15 available