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" 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 Connection of the Physical Sciences - Page 21
by Mary Somerville - 1846 - 460 pages
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Popular Lectures on Astronomy: Delivered at the Royal Observatory of Paris

François Arago - 1848 - 108 pages
...Jupiter, the Earth and the Sun, reader the existence of pha»e« to any otuervable extent impossible. times that of the second, plus twice that of the third, is always equal to two right angles. Herschel, on attentively examining these satellites through the telescope, perceived that the intensity...
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On the Connexion of the Physical Sciences

Mary Somerville - 1849 - 568 pages
...the motions and orbits of the satellites. For this reason the secular variations in the excentricity of Jupiter's orbit occasion secular inequalities in...they are liable. They extend to the synodic motions (K. 92) of the satellites ; consequently they affect their eclipses, and have a very great influence...
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The Elements of Astronomy: Or, The World as it Is, and as it Appears

Anna Cabot Lowell - 1850 - 378 pages
...the power of analysis. § 490. A singular law obtains among the mean motions and mean longitudes of three satellites. It appears from observation that...they are liable. They extend to the synodic motions of the satellites ; consequently they affect their eclipses, and have a very great influence on their...
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Manual of astronomy

John Drew - 1853 - 386 pages
...which latter is about half that of the revolution of the third. Again, the mean longitude of the first, minus three times that of the second, plus twice that of the third, is always equal to 180° : hence it results, that when the first satellite is eclipsed, the other two will always dispense...
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The Solar System: with Moral and Religious Reflections in Reference to the ...

Thomas Dick - 1854 - 360 pages
...performed exactly in the same number of days. It has been found, by La Place, that "the epoch (ot.mean longitude) of the first satellite, minus three times that of the second, plus two times that of the third, is exactly equal to a semicircle, or 180 degrees." From this it follows,...
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The Dictionary of Arts, Sciences and Manufactures ...: Embracing ..., Volume 1

James Smith (author of the Panorama of science and art.) - 1859 - 964 pages
...three times the mean motion of the second. And the mean sydereal or synodical longitude of the first, minus three times that of the second, plus twice that of the thin!,, is always equal to two right angles. When the satellites fall into the shadow of the primary,...
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The American Journal of Science and Arts

1860 - 982 pages
...these three bodies approached very near to the relation which renders the mean motion of the first, minus three times that of the second, plus twice that of the third, equal to nothing. Then their mutual attraction, rendered this ratio rigorously exact, and it has moreover...
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The American Journal of Science and Arts

1860 - 504 pages
...attraction, rendered this ratio rigorously exact, and it has moreover made the mean longitude of the first, minus three times that of the second, plus twice that of the third, equal to a semi-circumference. At the same time, it gave rise to a periodic inequality, which depends...
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Papers and Proceedings of the Royal Society of Tasmania

Royal Society of Tasmania - 1864 - 494 pages
...the time of that of the second ; the second half that of the third ; the mean longitude of the first, minus three times that of the second, plus twice that of the third, is always equal to 180°. Or the angular velocity of the first, added to twice that of the third, is equal to three times...
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A Dictionary of Science, Literature, & Art: Comprising the ..., Volume 3

William Thomas Brande, George William Cox - 1867 - 1090 pages
...mean motion of the second. Another tqnally singular analogy is, that the mean longitude of the first, minus three times that of the second, plus twice that of the third, is always rery nearly equal to two right angles. These two results subsist equally in respect both of the sidereal...
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