| 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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