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Myths and Marvels of Astronomy

Myths and Marvels of Astronomy

Paperback

Sports GeneralAstronomy & Space

Currently unavailable to order

ISBN10: 115379862X
ISBN13: 9781153798624
Publisher: General Books
Pages: 198
Weight: 0.65
Height: 0.45 Width: 9.01 Depth: 5.98
Language: English
Excerpt: ...the hoop will before long be made to rotate eccentrically, and eventually be brought into destructive collision with the central planet. It was here that Laplace left the problem. Nothing could have been more unsatisfactory than his result, though it was accepted for nearly half a century unquestioned. He had shown that a weighted fine hoop may possibly turn around a central attracting mass without destructive changes of position, but he had not proved more than the bare possibility of this, while nothing in the appearance of Saturn's rings suggests that any such arrangement exists. Again, manifestly a multitude of narrow hoops, so combined as to form a broad flat system of rings, would be constantly in collision inter se. Besides, each one of them would be subjected to destructive strains. For though a fine uniform hoop set rotating at a proper rate around an attracting mass at its centre would be freed from all strains, the case is very different with a hoop so weighted as to have its centre of gravity greatly displaced. Laplace had saved the theoretical stability of the motions of a fine ring at the expense of the ring's power of resisting the strains to which it would be exposed. It seems incredible that such a result (expressed, too, very doubtingly by the distinguished mathematician who had obtained it) should have been accepted so long almost without question. There is nothing in nature in the remotest degree resembling the arrangement imagined by Laplace, which indeed appears on

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