 | 1808 - 532 pages
...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... | |
 | 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... | |
 | 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
...but the absolute mean longitudes themselves are subject to a law equally remarkable : this is, that the mean longitude of the first satellite minus three...that of the second, plus twice that of the third, is always equal to a semicircumference, or 180°. The relation applies equally to the mean longitudes,... | |
 | 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,... | |
 | John Playfair - 1822 - 552 pages
...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...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... | |
 | John Playfait - 1822 - 550 pages
...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...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... | |
 | John Farrar - 1827 - 456 pages
...absolute mean longitudes are themselves subjected to another law not less remarkable; namely, that the mean longitude of the first satellite, minus three...that of the second, plus twice that of the third, is always equal to 180°. This relation extends equally to the mean synodic and sidereal longitudes. It... | |
 | 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... | |
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... that the mean longitude of the first satellite, minus three times that of the second, plus twice that of the third, is always equal to two right angles. 
