Should our belief in being able to explain how the retrograde rotations
of Uranus and Neptune were brought about turn out to be unacceptable,
we would not condemn the nebular hypothesis, because, as M. Faye
himself says, if we add the asteroids to Laplace's 43 we should have
somewhere about 500 bodies, all with direct motion, agreeing with the
hypothesis, against 4 that do not, that is about 125 to 1 instead of
43 to 1, which was all Laplace could claim. Moreover, we have not been
able to see that M. Faye's objections to it are well founded, rather
the contrary; nor can we agree with him when he says that when one
point in a hypothesis is found to be erroneous it ought to be abandoned
altogether, and something better sought for. Is his something any
better? All acquired knowledge has been built up from ideas collected
from all sides, and from errors reformed. What would a grammarian say
were we to return to him his grammar as useless, because we had found
one exception to one of his rules against 125 cases in which we had
found it to be right? Perhaps it would put him in mind of the name
of a tree. And grammar is not the only case in which we say that the
exception confirms the rule.
In taking the nebula to pieces, we have taken no notice of the
satellites of Mars, not only because they are so small that they would
have had no sensible effect on our calculations, but because we cannot
conceive that they could have been abandoned by the planet, when in a
nebulous state, in the same manner as the planetary rings are supposed
to have been by the parent nebula; and we might simply refer to the
dimensions, especially the thinness, we have found for the ring out
of which Mercury was formed, for proof of our assertion; but for
more satisfactory corroboration, we will go a little deeper into the
affair. Let us take the diameters of Mars and of the orbits of his
satellites, as they are stated in text-books of astronomy; that is
2957, 11,640 and 29,200 miles respectively, and suppose the diameters
of what--in the method we have applied to the planets--we would call
the Deimos and Phobos nebulæ to have been 40,000 and 20,420 miles also,
respectively; then these two diameters would make the breadth of the
ring for the formation of Deimos to have been 9790 miles. With these
data, if we go through a series of calculations with respect to this
outer satellite, in all respects similar to those we have made for each
of the rings of the planets, we shall find that the ring for Deimos
would have been only 5·64 _inches_ thick, without taking into account
its condensation during the process of separation. This, of course,
points out at once the impossibility of any such operation going on in
Nature. We can imagine the possibility of a ring of even millions of
miles broad, and of very great tenuity, holding together provided it
be hundreds of thousands of _miles_ thick, but to think of one 10,000
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