Excerpt from The Secular Variations of the Elements of the Orbits of the Four Inner Planets: Computed for the Epoch 1850; 0, G. M. T
The integral methods, founded upon the celebrated theorem of are wholly free from this latter disadvantage, for if it is desired to include all terms to the twenty fourth order this can be done by a computation which is less than twice as long as that required when the approximation is stopped at terms of the eleventh order. But the integral method, though thus extremely accurate, leads only to the numerical values of the variations dependent upon the values of the elements assumed; if they are desired for some other epoch at which the various elements possess different values from those adopted, or if an improved value of any of the elements becomes known, they can only be found by an entire repetition of the computation.
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Paperback. Condition: New. Print on Demand. This book presents the secular variations of the elements of the orbits of the four inner planets computed for the epoch G. M. T. by Eric Doolittle. Originally published in 1914, the secular variation is the name for the very slow change in orbital parameters of a celestial body over time. The study and computation of secular variations was an important field at the end of the 19th and early 20th centuries. Historically, the problem was first solved by Lagrange and further developed by Gauss. In the late 19th century, Hill introduced several modifications to Gauss's method of computing secular variations. This book applies one of these to the four inner planets - the first time Hill's modified method had been used for this purpose. By applying new techniques to calculate secular variations, the author was able to improve the accuracy of the orbit calculations for the four inner planets in what was then a groundbreaking result. 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 # 9781333409425_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781333409425
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781333409425
Quantity: 15 available