We have made the foregoing examination because, when we began our work,
the general idea was that, according to the nebular hypothesis, the
material for the formation of each planet was abandoned by the ideal
nebula in a distinct and separate mass from any other--we are not at
all sure, however, that this was Laplace's idea. This, we found out,
could not be the case when we attempted to give some sort of separate
or distinct form to the matter out of which Neptune was supposed to
have been formed; and when we became convinced that all the matter
abandoned by the nebula, from first to last, must have been thrown off
in one continuous and, most probably, uninterrupted sheet. This, of
course, makes us think of how the division of the sheet into separate
rings was brought about, for there must have been absolute separation
between them, otherwise separate planets could not have been made out
of the sheet; and the only explanation that can be given is, that
it must have depended on the quantity of matter that was abandoned,
in nearly equal times, at different periods of the operation; for
the areolar law precludes the idea of there having been very rapid
changes in the rate of rotation of the nebula, and certainly of its
decrease at any period as long as condensation and contraction went
on. Whereas, although the sheet thrown off may have been continuous,
we have no reason to suppose that it was of constant volume or density
from beginning to end of the operation; in fact, we have already
seen that its density was constantly increasing, and have suggested,
in the reversal of Bode's law, that the differences in dimensions
and densities of the planets have arisen, from irregularity in the
quantities of matter abandoned from time to time. This irregularity
could only arise from the mode of construction of the nebula, and from
the forms it assumed during condensation, as we shall attempt to show
in due time. Meanwhile we can conclude that the region of greatest
density in any of our nebulæ had no influence whatever on the position
of the orbit of the planet that was formed out of it.
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