Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" ... 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. "
On the Connexion of the Physical Sciences - Page 29
by Mary Somerville - 1834 - 458 pages
Full view - About this book

Works, with a memoir of the author, Volume 4

John Playfait - 1822
...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...
Full view - About this book

Dictionary of the Mathematical and Physical Sciences, According to the ...

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 through his shadow; and on the other...
Full view - About this book

An Elementary Treatise on Astronomy: Adapted to the Present Improved State ...

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...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...
Full view - About this book

Mechanism of the Heavens

Mary Somerville - 1831 - 621 pages
...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...
Full view - About this book

Mechanism of the Heavens

Mary Somerville - 1831 - 710 pages
...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...
Full view - About this book

The Connection of the Physical Sciences

Mary Somerville - 1834 - 390 pages
...Although the apparent diameters of the satellites are too small to be measured, yet their pertubations give the values of their masses with considerable...proved by theory, that if these relations had only been appwximate when the satellites were first launched into space, their mutual attractions would have...
Full view - About this book

A Popular Grammar of the Elements of Astronomy: Adapted to the Use of ...

Thomas Squire - 1836 - 324 pages
...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...
Full view - About this book

Recreations in mathematics and natural philosophy, recomposed by m. Montucla ...

Jacques Ozanam - 1840
...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...
Full view - About this book

On the Connection of the Physical Sciences

Mary Somerville - 1846 - 506 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...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...
Full view - About this book

On the Connection of the Physical Sciences

Mary Somerville - 1846 - 496 pages
...satellite, plus twice that of the third, is equal to three SECT. 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...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF