| 1808 - 532 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 three times that of the** fcecorrfl, -phi* twice th.it of the tlrird, never differs from two right angles bat by a quantity ahnost... | |
| Pierre Simon marquis de Laplace - 1809 - 406 pages
...of the first satellite plus twice that of the third, is equal to three times that of the second; and **the mean longitude of the first satellite minus three...that of the second plus twice that of the third is** constantly equal to a semi-circumference : but will these relations always exist, or are they only... | |
| Pierre Simon marquis de Laplace - 1809 - 408 pages
...or sidereal, of the three first satellites seen from the centre of Jupiter, are such that the motion **of the first satellite minus three times that of the second, plus twice that of the third, is** nearly equal to the semicircumference. This equality is so near, that we are tempted to consider it... | |
| James Smith - 1815 - 684 pages
...three times the mean motion of the second. And theiucan 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.** When the satellites fall into the shadow of the primary, we lose sight of them for a lime, and they... | |
| Edward T W. Polehampton - 1815 - 568 pages
...times the mean mot ion .of the second. Ami, t !iimean sidereal or.synodicalloogitu.de of the first, **minus three times that of the second, plus twice that of the third,** U always equal to two right angles. • , .__.;• , . •. .,.,,. The satellites of Jupiter are liable... | |
| 1818 - 400 pages
...instant ; but the absolute mean longitudes themselves are subject to a law equally remarkable : this is, **that the mean longitude of the first satellite minus...second, plus twice that of the third, is always equal to** a semicircumference, or 180°. The relation applies equally to the mean longitudes, either synodic... | |
| Robert Woodhouse - 1818 - 572 pages
...found by observation to exist between the mean longitudes of the three first satellites. It is this ; **the mean longitude of the first Satellite minus three...that of the second plus twice that of the third is** equal to 1 80° ; in symbols, then, (nt + e) - 3 (n' t + O + 2 («" t + «") = 180°, consequently,... | |
| Edward Polehampton, John Mason Good - 1818 - 590 pages
...the second. And, the nitMn sidereal or synodicallongitude of the first, minus three times that ill' **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 Mason Good - 1819 - 910 pages
...mean motion of me second. And the meun sidereal or synodical longitude of the first, minus three limes **that of the second, plus twice that of the third, is always equal to two right** angle-). The satellites of Jupiter arc liable to be eclipsed by passing through his shadow ; and, on... | |
| John Playfair - 1822 - 554 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... | |
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