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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. "
Book I. Of the apparent motions of the celestial bodies. Book II. Of the ... - Page 269
by Pierre Simon marquis de Laplace - 1809 - 380 pages
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The Panorama of Science and Art: Embracing the Sciences of ..., Volume 1

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...
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The Gallery of Nature and Art; Or, A Tour Through Creation and Science, Volume 1

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...
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Time's Telescope for ... ; Or, A Complete Guide to the Almanack

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,...
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An Elementary Treatise on Astronomy. ..., Volume 2

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,...
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The Works of John Playfair ...: With a Memoir of the Author ...

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...
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Works, with a memoir of the author, Volume 4

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...
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Encyclopaedia Britannica; Or A Dictionary of Arts, Sciences, and ..., Volume 3

1823 - 896 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...
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Dictionary of the Mathematical and Physical Sciences, According to the ...

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...
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An Elementary Treatise on Astronomy: Adapted to the Present Improved State ...

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...
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Mechanism of the Heavens

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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