 | John Playfait - 1822 - 550 σελίδες
...from the theory of the action of the satellites. Another singularity in this secondary system, is, that the mean longitude of the first satellite minus...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... | |
 | James Mitchell - 1823 - 666 σελίδες
...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 his shadow; and on the other... | |
 | John Farrar - 1827 - 464 σελίδες
...the absolute mean longitudes are themselves subjected to another law not less remarkable ; namely, that the mean longitude of the first satellite, minus...second, plus twice that of the third, is always equal to 180°. This relation extends equally to the menu synodic and sidereal longitudes. It is demonstrated... | |
 | Mary Somerville - 1831 - 720 σελίδες
...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... | |
 | Mary Somerville - 1831 - 710 σελίδες
...motion of the second is nearly equal to twice that of the third ; whence the mean motion of the first, minus three times that of the second, plus twice that of the tliird, is zero ; but the last ratio is so exact, that from the earliest observations it has always... | |
 | Mary Somerville - 1834 - 390 σελίδες
...power of analysis. A singular law obtains among the mean motions and mean longitudes of the three first satellites. It appears from observation that the mean...proved by theory, that if these relations had only been appwximate when the satellites were first launched into space, their mutual attractions would have... | |
 | Thomas Squire - 1836 - 332 σελίδες
...constantly equal to three times the mean revolution of the second. And, the mean longitude of the Hrst, minus three times that of the second, plus twice that...of the third, is always equal to two right angles. Hence, the first three satellites caunot be eclipsed at the same time : for in the simultaneous eclipses... | |
 | Jacques Ozanam - 1840 - 850 σελίδες
...motioti of the third, ia rigorously equal to thrice the mean motion of the second satellite. Stcond. The mean longitude of the first satellite minus three...that of the second, plus twice that of the third, is exactly eijual to a semi-circle or 180 degrees. By following out these laws, we find, 1st. When the... | |
 | Mary Somerville - 1846 - 506 σελίδες
...the power of analysis. A singular law obtains among the mean motions and mean longitudes of the first three satellites. It appears from observation that...they are liable. They extend to the synodic motions (N. 92) of the satellites ; consequently they affect their eclipses, and have a very great influence... | |
 | Mary Somerville - 1846 - 496 σελίδες
...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...they are liable. They extend to the synodic motions (N. 92) of the satellites ; consequently they affect their eclipses, and have a very great influence... | |
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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. 
