 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 Connexion of the Physical Sciences - Pagina 36door Mary Somerville - 1840 - 499 pagina’sVolledige weergave - Over dit boek
 | 1808 - 532 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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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