The volume of the nebula after the separation of the ring for the
system of Jupiter having been 1,347,380,629,180^{15} cubic miles,
this volume has to be condensed into the volume of the Asteroidal
nebula of 744,000,000 miles in diameter and consequently of volume of
215,634,925,373,133,820^{9} cubic miles. Then if we divide the first of
these volumes by the second, we find the density to have been increased
6·2484 fold, as used above for the average thickness of Jupiter's ring.
But the density of the Jovian nebula was 2,794,417,420 times less than
water, dividing which by 6·2484 makes the Asteroidal nebula to have
been 447,218,905 times less dense than water. This again divided by
773·395 makes it 578,254 times less dense than air, which will give us
0·00047384° as its absolute temperature--or the same as -273·99952616°.
Next, from the Asteroidal nebula 774,000,000 miles in diameter, volume
of 215,634,925,373,133,820^{9} cubic miles, and density 447,218,905
times less than water, we have to deduct the volume of the whole
of the system which in Table No. II. we have supposed to have been
367,792,000,000 cubic miles at density of water. Multiplying this
by 447,218,905 we get the volume to have been 164,482,717,200^{9}
cubic miles for the ring at the same density as the nebula; so,
deducting this quantity from 215,634,925,133,820^{9}, we get
215,634,760,890,416,620^{9} cubic miles as the volume to which the
nebula had been reduced by the separation of the ring.
For the dimensions of the ring we have the mean diameter of the orbit
of the representative Asteroid as 520,600,000 miles, that is twice its
distance from the centre of the nebula, which makes its circumference
to be 1,635,516,960 miles in length. Dividing then the volume of the
ring, which we found to have been 164,482,717,200^9 cubic miles by this
length, the area of its cross-section must have been 100,569,251,938
square miles, which divided by the breadth of 171,000,000 miles--the
difference between the radii of the Asteroidal and Martian nebula,
namely 372,000,000 less 201,000,000--makes the thickness of the ring to
have been 588 miles. But the inner having been 6·339 times more than
the outer edge, as we shall see presently, the average thickness would
be 185 miles.
MARTIAN NEBULA.
Public-domain text, read in full here on John Shaqi.
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