| 1900 - 600 pages
...established this relation rigorously, and furthermore has made the mean longitude of the first satellite less **three times that of the second plus twice that of the third** equal to a semi-circumference. At the same time a periodic inequality has arisen which depended upon... | |
| Oliver Joseph Thatcher - 1907 - 484 pages
...these three bodies approached very near to the relation which renders the mean motion of the first, **minus three times that of the second, plus twice that of the third,** equal to nothing. Then their mutual attraction rendered this ratio rigorously exact, and it has moreover... | |
| 1877 - 776 pages
...extraordinary than the preceding, one which consists in this, that the mean longitude of the first, **minus three times that of the second, plus twice that of the third,** is constantly equal to two right angles. Laplace claims that these motions were brought within certain... | |
| Francis Baily - 1827 - 340 pages
...equal to three times that of the second. And the mean sidereal or synodical longitude of the first, **minus three times that of the second, plus twice that of the third,** is generally equal to two right angles. It follows therefore that, for a great number of years at least,... | |
| Pierre-Simon Laplace - 1998 - 292 pages
...Jupiter's principal three satellites [32], according to which law the mean longitude of the first, **minus three times that of the second, plus twice that of the third,** is exactly equal to IT [33]. The close fit of the mean motions of these heavenly bodies, since their... | |
| Greg Bear - 2001 - 484 pages
...planet, occulted. He tried to remember Laplace's law regarding the first three Galilean moons: The **longitude of the first satellite, minus three times...that of the second, plus twice that of the third,** is always equal to half of the circumference ... He had memorized that in high school, but it did him... | |
| Oliver J. Thatcher - 2004 - 466 pages
...attraction rendered this ratio rigorously exact, and it has moreover made the mean longitude of the first **minus three times that of the second, plus twice that of the third,** equal to a semicircumference. At the same time, it gave rise to a periodic inequality, which depends... | |
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