The volume of the last nebula after the separation of the ring for
the Asteroids was found to have been 215,634,760,890,416,620^{9}
cubic miles, which had to be condensed into the volume of the Martian
nebula of 402,000,000 miles in diameter, which would give a volume of
34,015,582,677,165,354^{9} cubic miles. Dividing then, the larger of
these volumes by the smaller, we find that the density of the Martian
nebula had been increased 6·339 times by the condensation. But we found
the density of the Asteroidal nebula to have been 447,218,905 times
less dense than water, dividing which by 6·339 makes the Martian nebula
to have been 70,547,110 times less dense than water. This divided again
by 773·395 makes it 91,259 times less dense than air, and consequently
its absolute temperature to have been 0·00300243° or -273·99699757°.
From the Martian nebula of 402,000,000 miles in diameter, volume
34,015,582,677,165,354^{9} cubic miles, and density 70,547,110 times
less than water, we have to deduct the volume of his ring, which by
Table II., was estimated at 160,728,460,000 cubic miles at density
of water. Multiplying this by 70,547,110 we find its volume to be
11,338,927,154^{9} cubic miles at the same density as the nebula,
deducting which from its whole volume we get 34,015,571,338,237,20^{9}
cubic miles as the volume after the separation of the ring.
For finding the dimensions of the ring we have 283,300,000 miles as
the mean diameter of the orbit of Mars, which makes its circumference
890,015,280 miles in length. Then dividing the volume of the ring
11,338,927,154^{9} cubic miles by this length, the area of its
cross-section comes to be 12,740,148,859 square miles, which, divided
by the breadth of 83,690,000 miles--that is one-half of the difference
between the diameters of the Martian and Earth nebula, respectively
402,000,000 and 234,620,000 miles--makes the thickness of the ring to
have been 152 miles. But as before, the inner having become through
condensation, 5·0302 times more dense than the outer edge, the average
thickness would be 61 miles.
EARTH NEBULA.
As the volume of the nebula was 34,015,571,338,237,200^{9} cubic miles
after the separation of the ring for Mars, we have to condense it into
the volume of the earth nebula, which at 234,620,000 miles in diameter
would be 6,762,303,076,923,031^{9} cubic miles. Dividing the larger of
these volumes by the smaller we find that the density of the nebula
has been increased 5·0302 times, as employed above. But we found the
density of the Martian nebula to have been 70,547,110 times less than
that of water, dividing which by 5·0302 makes the earth nebula to have
been 14,024,781 times less dense than water. Dividing this again by
773·395 we find it to have been 18,134 times less dense than air, and
274° divided by this density of air--the same as in all the respective
cases--gives 0·0151097° as the absolute temperature of the nebula and
corresponds to -273·9848903°.
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