Illustrations of Universal Progress: A Series of DiscussionsSpencer, Herbert
Philosophy
Illustrations of Universal Progress: A Series of Discussions
Spencer, Herbert
Philosophy; Political science; Science
Still more instructive shall we find the distribution of the
satellites--their absence in some instances, and their presence in other
instances, in smaller or greater numbers. The argument from design fails to
account for this distribution. Supposing it be granted that planets nearer
the Sun than ourselves, have no need of moons (though, considering that
their nights are as dark, and, relatively to their brilliant days, even
darker than ours, the need seems quite as great)--supposing this to be
granted; what is to be said of Mars, which, placed half as far again from
the Sun as we are, has yet no moon? Or again, how are we to explain the
fact that Uranus has but half as many moons as Saturn, though he is at
double the distance? While, however, the current presumption is untenable,
the Nebular Hypothesis furnishes us with an explanation. It actually
enables us to predict, by a not very complex calculation, where satellites
will be abundant and where they will be absent. The reasoning is as
follows.
In a rotating nebulous spheroid that is concentrating into a planet, there
are at work two antagonist mechanical tendencies--the centripetal and the
centrifugal. While the force of gravitation draws all the atoms of the
spheroid together, their tangential momentum is resolvable into two parts,
of which one resists gravitation. The ratio which this centrifugal force
bears to gravitation, varies, other things equal, as the square of the
velocity. Hence, the aggregation of a rotating nebulous spheroid will be
more or less strongly opposed by this outward impetus of its particles,
according as its rate of rotation is high or low: the opposition, in equal
spheroids, being four times as great when the rotation is twice as rapid;
nine times as great when it is three times as rapid; and so on. Now, the
detachment of a ring from a planet-forming body of nebulous matter, implies
that at its equatorial zone the centrifugal force produced by concentration
has become so great as to balance gravity. Whence it is tolerably obvious
that the detachment of rings will be most frequent from those masses in
which the centrifugal tendency bears the greatest ratio to the gravitative
tendency. Though it is not possible to calculate what proportions these two
tendencies had to each other in the genetic spheroid which produced each
planet; it is possible to calculate where each was the greatest and where
the least. While it is true that the ratio which centrifugal force now
bears to gravity at the equator of each planet, differs widely from that
which it bore during the earlier stages of concentration; and while it is
true that this change in the ratio, depending on the degree of contraction
each planet has undergone, has in no two cases been the same; yet we may
fairly conclude that where the ratio is still the greatest, it has been the
greatest from the beginning. The satellite-forming tendency which each
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