| John Playfait - 1822
...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 - 684 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 - 621 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 - 324 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
...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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