On the Stability of the Motion of Saturn's Rings ..
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The quantity 2mc (2mc - e" 2mc - l), has a minimum when 2mc = '607 (94), and the wave length is 10-353 times the thickness of the stratum.
In this case 2roc (2mc - e -•"■ - 1) = - ' 5 °9 (95), an d X = -509TrkA cosmx (96).
of Saturn's rings. 45 24. Let us now conceive that the stratum of fluid, instead of being infinite in extent, is limited in breadth to about 100 times its thickness. The pressures and attractions will not be much altered by this removal of a distant part of the stratum. Let u...s also suppose that this thin but broad strip is bent round in its own plane into a circular ring whose radius is more than ten times the breadth of the strip, and that the waves, instead of being exactly parallel to each other, have their ridges in the direction of radii of the ring. We shall then have trans- formed our stratum into one of Saturn's Rings, if we suppose those rings to be liquid, and that a considerable breadth of the ring has the same angular velocity.
Let us now investigate the conditions of stability by putting x = - 2irkmc (2mc - e~ 2mc - 1) 2 into the equation for n.
What to read after On the Stability of the Motion of Saturn's Rings ..?
You can find similar books in the "Read Also" column, or choose other free books by Maxwell James Clerk to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
The quantity 2mc (2mc - e" 2mc - l), has a minimum when 2mc = '607 (94), and the wave length is 10-353 times the thickness of the stratum.
In this case 2roc (2mc - e -•"■ - 1) = - ' 5 °9 (95), an d X = -509TrkA cosmx (96).
of Saturn's rings. 45 24. Let us now conceive that the stratum of fluid, instead of being infinite in extent, is limited in breadth to about 100 times its thickness. The pressures and attractions will not be much altered by this removal of a distant part of the stratum. Let u...s also suppose that this thin but broad strip is bent round in its own plane into a circular ring whose radius is more than ten times the breadth of the strip, and that the waves, instead of being exactly parallel to each other, have their ridges in the direction of radii of the ring. We shall then have trans- formed our stratum into one of Saturn's Rings, if we suppose those rings to be liquid, and that a considerable breadth of the ring has the same angular velocity.
Let us now investigate the conditions of stability by putting x = - 2irkmc (2mc - e~ 2mc - 1) 2 into the equation for n.
What to read after On the Stability of the Motion of Saturn's Rings ..?
You can find similar books in the "Read Also" column, or choose other free books by Maxwell James Clerk to read onlineMoreLess
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