Excerpt from A New Method of Determining the General Perturbations of the Minor Planets
Sto'rangen der kleinen Planeten, undoubtedly marks a great advance in the determina tion of the general perturbations of the heavenly bodies.
The value of the work is greatly enhanced by an application of the method to a numerical example in which are given the perturbations of Egeria produced by the action of Jupiter, Mars, and Saturn. And yet, notwithstanding the many exceptional features of the work commending it to attention, astronomers seem to have been de terred by the refined analysis and laborious computations from anything like a general use of the method; and they still adhere to the method of special perturbations devel oped by lagrange. Hansen himself seems to have felt the force of the objections to his method, since in a posthumous memoir published in 1875, entitled Ueber die Sto'rangen der grossen Planeten, insbesondere des Jupiters, his former positive views relative to the convergence of series, and the proper angles to be used in the argu ments, are greatly modified.
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.
"synopsis" may belong to another edition of this title.
Shipping:
FREE
From United Kingdom to U.S.A.
Seller: Forgotten Books, London, United Kingdom
Paperback. Condition: New. Print on Demand. This book delves into the intricacies of celestial mechanics, particularly the complexities of predicting the movements of minor planets within our solar system. Historically, major planets could be tracked with relative ease using methods developed by Lagrange, but the highly erratic and inclined orbits of minor planets presented a significant challenge. This text offers a novel and effective approach to tackling this problem, based on the insights of the renowned astronomer Hans Hansen. The author adeptly demonstrates that by transforming the problem into a series of mathematical expressions involving periodic angles, the perturbation of the time can be determined, paving the way for accurate predictions of minor planet trajectories. This new method, known as Hansen's Method, has proven invaluable to astronomers, providing a reliable means of understanding and anticipating the behavior of celestial bodies that were previously difficult to track. By doing so, this book not only expands our astronomical knowledge but also underscores the transformative power of mathematical innovation in scientific discovery. 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 # 9781334017285_0
Quantity: Over 20 available
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781334017285
Quantity: 15 available
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781334017285
Quantity: 15 available