| William Thomas Brande, George William Cox - 1867 - 1090 pages
...mean motion of the second. Another tqnally singular analogy is, that the mean longitude of the first, **minus three times that of the second, plus twice that of the third, is always** rery nearly equal to two right angles. These two results subsist equally in respect both of the sidereal... | |
| George Frederick Chambers - 1867 - 888 pages
...third, is constantly equal to three times that of the second; and the sidereal longitude of the first, **minus three times that of the second, plus twice that of the third, is always** eqrtal to 1 80°. From this it follows that for a very long period of time the 3 interior satellites... | |
| 1874 - 430 pages
...first three satellites of Jupiter, and 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 always equal to two right angles.** The chance is very small that such a condition should happen at random. Under this hypothesis the comets... | |
| 1874 - 490 pages
...first three satellites of Jupiter, and 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 always equal to two right angles.** The chance is very small that such a condition should happen at random. Under this hypothesis the comets... | |
| 1884 - 332 pages
...and likewise that the mean * See also Mrs. Somervillc's Mechanism of the Heavens, pp. 501 — 608. **longitude of the first satellite minus three times...that of the second, plus twice that of the third, is** exactly and constantly equal to two right angles. Laplace showed that it suffices to assume these proportions... | |
| 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 discovery,... | |
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