 | 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
...mean longitudes themselves are subject to a law equally remarkable : this is, 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 a semicircumference, or 180°. The relation applies equally to the mean longitudes,... | |
 | Robert Woodhouse - 1818 - 572 pages
...to exist between the mean longitudes of the three first satellites. It is this ; the mean longitude of the first Satellite minus three times 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 - 554 pages
...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 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
...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 second, plus twice that of the third, never differs from two right angles, but by a quantity almost insensible. One can hardly suppose that... | |
 | 1823 - 894 pages
...satellites, seen from the centre of Jupiter, is such that the longitude of the first, minus thrice that of the second, plus twice that of the third, is nearly equal to the semicircumferrnce. This relation is so very near the truth« that one is tempted to consider it as... | |
 | 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 - 464 pages
...longitudes are themselves subjected to another law not less remarkable ; namely, 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 180°. This relation extends equally to the menu 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. 
