| 1808 - 532 pages
...discover in the observation of the eclipses of these satellites, and to state as amounting to 4-3T.G **days. This is now fully explained from the theory...the first satellite minus three times that of the** fcecorrfl, -phi* twice th.it of the tlrird, never differs from two right angles bat by a quantity ahnost... | |
| Pierre Simon marquis de Laplace - 1809 - 406 pages
...of the first satellite plus twice that of the third, is equal to three times that of the second; and **the mean longitude of the first satellite minus three...times that of the second plus twice that of the third** is constantly equal to a semi-circumference : but will these relations always exist, or are they only... | |
| Pierre Simon marquis de Laplace - 1809 - 408 pages
...or sidereal, of the three first satellites seen from the centre of Jupiter, are such that the motion **of the first satellite minus three times that of the second, plus twice that of the third,** is nearly equal to the semicircumference. This equality is so near, that we are tempted to consider... | |
| 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... | |
| 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... | |
| 1818 - 402 pages
...instant ; but the absolute mean longitudes themselves are subject to a law equally remarkable : this **is, that the mean longitude of the first satellite...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,... | |
| Robert Woodhouse - 1818 - 570 pages
...found by observation 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,... | |
| James Mitchell - 1823 - 684 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... | |
| John Farrar - 1827 - 464 pages
...the absolute mean longitudes are themselves subjected to another law not less remarkable ; namely, **that the mean longitude of the first satellite, minus...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.... | |
| Mary Somerville - 1831 - 621 pages
...the first satellite, plus twice that of the third, is equal to three times that of the second, and **that the mean longitude of the first satellite, minus...that of the second, plus twice that of the third,** is always equal to two right angles. It is proved by theory, that if these relations had only been... | |
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