A singular law obtains among the mean motions and mean longitudes of the first three satellites. It appears from observation that the mean motion of the first satellite, plus twice that of the third, is equal to three times that of the second ; and that... On the Connection of the Physical Sciences - Page 21by Mary Somerville - 1846 - 460 pagesFull view - About this book
| 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... | |
| Mary Somerville - 1871 - 490 pages
...they prove that his mass is not homogeneous. Although the apparent diameters of the satellites are tuo small to be measured, yet their perturbations give...right angles. It is proved by theory, that if these Telations had only been approximate when the satellites were first launched into space, their mutual... | |
| 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... | |
| 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... | |
| 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,... | |
| |