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" If the mean angular velocity of the first satellite be added to twice that of the third, the sum will be equal to three times that of the second ;" and "from this it results that the situations of any two of them being given, that of the third can be... "
The Elements of the Theory of Astronomy - Page 264
by John Hymers - 1840 - 354 pages
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Astronomy

sir John Frederick W. Herschel (1st bart.) - 1833 - 500 pages
...1-105 0-911 1-488 1-273 87000 2508 2068 1)377 2890 l-OOOOOOO 0-OO00173 0-O000232 0-O000885 0-0000427 If the mean angular velocity of the first satellite...the sum will equal three times that of the second. From this relation it follows, that if from the mean longitude of the first added to twice that of...
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Astronomy

Sir John Frederick William Herschel - Astronomy - 1833 - 444 pages
...1-105 0-911 1-488 1-273 87000 2508 2068 3377 2890 l-OOOOOOO 0-OOO0173 0-0000232 0-O000885 O-OOOO427 If the mean angular velocity of the first satellite...the sum will equal three times that of the second. From this relation it follows, that if from the mean longitude of the first added to twice that of...
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An Introduction to Astronomy: Designed as a Textbook for the Use of Students ...

Denison Olmsted - Astronomy - 1839 - 306 pages
...very singular relation subsists between the mean motions of the three first satellites of Jupiter. If the mean angular velocity of the first satellite...be added to twice that of the third, the sum will be equal to three times that of the second. Hence, if from the mean longitude of the first plus twice...
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An Elementary Treatise on Astronomy: In Two Parts. The First Containing, a ...

John Gummere - Astronomy - 1842 - 516 pages
...now quite accurately known. 320. Curious relation in the mean motions of the first three satellites. If the mean angular velocity of the first satellite...be added to twice that of the third, the sum will be equal to three times that of the second. From this, it follows, that if from the sum of the mean...
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Outlines of Astronomy

John Frederick William Herschel - Astronomy - 1849 - 672 pages
...mean angular velocities or mean motions (as (hey are termed) of the three first satellites of Jupiter. If the mean angular velocity of the first satellite...the sum will equal three times that of the second. From this relation it follows, that if from the mean longitude of the first added to twice that of...
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Eclectic Magazine, and Monthly Edition of the Living Age, Volume 45

John Holmes Agnew, Walter Hilliard Bidwell, Henry T. Steele - American periodicals - 1858 - 638 pages
...severally display these same synchronous movements, there also exists a still more remarkable relation. " If the mean angular velocity of the first satellite...be added to twice that of the third, the sum will be equal to three times that of the second ;" and " from this it results that the situations of any...
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Essays--scientific, Political and Speculative, Volume 2

Herbert Spencer - Philosophy - 1864 - 388 pages
...severally display these same synchronous movements, there also exists a still more remarkable relation. " If the mean angular velocity of the first satellite...be added to twice that of the third, the sum will be equal to three times that of the second ;" and "from this it results that the situations of any...
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Essays: Scientific, Political, and Speculative. (Second series)

Herbert Spencer - Philosophy - 1864 - 400 pages
...severally display these same synchronous movements, there also exists a still more remarkable relation. " If the mean angular velocity of the first satellite...be added to twice that of the third, the sum will be equal to three times that of the second ;" and " from this it results that the situations of any...
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ELEMENTS OF NATURAL PHILOSOPHY.

W.H.C. BARTLETT,LL.D., - 1865 - 494 pages
...same eclipse. § 500. The mean motions of the satellites are connected by this remarkable law, viz. : If the mean angular velocity of the first satellite...the sum will equal three times that of the second. If, therefore, from the mean longitude of the first satellite, increased by twice that of the third,...
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A Treatise on Astronomy

Elias Loomis - Astronomy - 1866 - 384 pages
...been invisible for a short time. 439. Relation of the mean motions of the first three satellites. — If the mean angular velocity of the first satellite...be added to twice that of the third, the sum will be equal to three times that of the second. From this it follows that, if from the sum of the mean...
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