 | Mary Somerville - 1846 - 496 pages
...satellite, plus twice that of the third, is equal to three StcT. IV. ECLIPSES OF THE SATELLITES. 29 times that of the second ; and that the mean longitude...attractions would • have established and maintained them, notwithstanding the secular inequalities to which they are liable. They extend to the synodic motions... | |
 | Mary Somerville - 1846 - 496 pages
...power of analysis. A singular law obtains among the mean motions and mean longitudes of the first three satellites. It appears from observation that the mean...three times that of the second, plus twice that of the thin], is always equal to two right angles. It is proved by theory, that if these relations had only... | |
 | Thomas Dick - 1799 - 392 pages
...are performed exactly in the same number of days. It has been found by La Place that " the epoch (or 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,... | |
 | 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... | |
 | Mary Somerville - 1849 - 568 pages
...power of analysis. A singular law obtains among the mean motions and mean longitudes of the first three satellites. It appears from observation that the mean...attractions would have established and maintained them, notwithstanding the secular inequalities to which they are liable. They extend to the synodic motions... | |
 | Anna Cabot Lowell - 1850 - 412 pages
...power of analysis. § 49O. A singular law obtains among the mean motions and mean longitudes of three satellites. It appears from observation that the mean...attractions would have established and maintained them, notwithstanding the secular inequalities to which. they are liable. They extend to the synodic motions... | |
 | 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... | |
 | 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,... | |
 | 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,... | |
 | 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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... 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. 
