Excerpt from The Planetary System: A Study of Its Structure and Growth
The failure of Newton's analysis to serve in generalization explains why Bode's law of the planetary distances and the Similar laws which gov ern the spacing of the satellites in their several systems still stand as merely empirical expressions without any physical foundation. These laws are, in truth, the laws of the structure of those sys tems, and until we know the physical basis upon which they rest, we can not hope to explain why the systems are so arranged. Moreover, it seems probable that if we were able to explain Bode's law and the laws of the satellite systems we might then find easy steps to an explanation of the growth of such systems. In any event, we can hardly hope to reach a full explanation of their growth until we have first explained their structure.
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Excerpt from The Planetary System: A Study of Its Structure and Growth
Sir Isaac Newton solved the problem of the Moon's stability (the problem of three bodies) by what may be called the method of difference of attraction, and his solution of it by this method stands to-day as the only, and therefore as the accepted, solution. So little change has there been in theoretical astronomy since Newton's time that the current analysis of this problem is still in all essentials identical with his. If we glance back over the history of theoretical astronomy we find that this science seems to have come to a standstill with Newton. Although he was its illustrious founder, yet, excepting the magnificent results which he himself gave it, its progress has been slight.
Theoretical astronomy is securely founded upon Newton's laws of motion and his law of gravitation. This foundation has never been shaken and, so far as present knowledge enables us to see, it will never be; for it rests upon laws which seem to be universal and eternal. Newton's solution of the problem of two bodies partakes of the same high character as his laws: it appears to be complete and perfect.
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.
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