| John Playfait - 1822 - 550 pages
...from the theory of the action of the satellites. Another singularity in this secondary system, is, that the mean longitude of the first satellite minus...that of the second, plus twice that of the third, never differs from two right angles, but by a quantity almost insensible. One can hardly suppose that... | |
| James Mitchell - 1823 - 666 pages
...three times the mean motion 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 always equal to two right angles. The satellites of Jupiter are liable to be eclipsed by passing through his shadow; and on the other... | |
| John Farrar - 1827 - 464 pages
...the absolute mean longitudes are themselves subjected to another law not less remarkable ; namely, that the mean longitude of the first satellite, minus...second, plus twice that of the third, is always equal to 180°. This relation extends equally to the menu synodic and sidereal longitudes. It is demonstrated... | |
| Mary Somerville - 1831 - 720 pages
...inequalities so modified by the mutual attraction of the satellites, that the secular equation of the first, minus three times that of the second, plus twice that of the third, would always be zero ; therefore the inequalities in the return of the eclipses, whose period is 437... | |
| Mary Somerville - 1831 - 710 pages
...motion of the second is nearly equal to twice that of the third ; whence the mean motion of the first, minus three times that of the second, plus twice that of the tliird, is zero ; but the last ratio is so exact, that from the earliest observations it has always... | |
| Mary Somerville - 1834 - 390 pages
...Although the apparent diameters of the satellites are too small to be measured, yet their pertubations give the values of their masses with considerable...proved by theory, that if these relations had only been appwximate when the satellites were first launched into space, their mutual attractions would have... | |
| Thomas Squire - 1836 - 332 pages
...constantly equal to three times the mean revolution of the second. And, the mean longitude of the Hrst, minus three times that of the second, plus twice that...of the third, is always equal to two right angles. Hence, the first three satellites caunot be eclipsed at the same time : for in the simultaneous eclipses... | |
| Jacques Ozanam - 1840 - 850 pages
...motioti of the third, ia rigorously equal to thrice the mean motion of the second satellite. Stcond. The mean longitude of the first satellite minus three...that of the second, plus twice that of the third, is exactly eijual to a semi-circle or 180 degrees. By following out these laws, we find, 1st. When the... | |
| Mary Somerville - 1846 - 506 pages
...power of analysis. A singular law obtains among the mean motions and mean longitudes of the first three satellites. It appears from observation that the mean...they are liable. They extend to the synodic motions (N. 92) of the satellites ; consequently they affect their eclipses, and have a very great influence... | |
| Mary Somerville - 1846 - 496 pages
...satellite, plus twice that of the third, is equal to three SECT. IV. ECLIPSES OF THE SATELLITES. 29 times that of the second ; and that the mean longitude...they are liable. They extend to the synodic motions (N. 92) of the satellites ; consequently they affect their eclipses, and have a very great influence... | |
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