The Library Magazine of Select Foreign Literature: All volumesVarious
History
The Library Magazine of Select Foreign Literature: All volumes
Various
Periodicals
Assuming the planets and satellites of the solar system to be formed in
some such manner as Laplace suggested in his "Nebular Hypothesis," the
moon, as an orb travelling round the earth, must be regarded as very much
older than she is, even in years. Even if we accept the theory of
accretion which has been recently suggested as better according with known
facts, it would still follow that probably the moon had existence, as a
globe of matter nearly of her present size, long before the earth had
gathered in the major portion of her substance. Necessarily, therefore, if
we assume as far more probable than either theory that the earth and moon
attained their present condition by combined processes of condensation and
accretion, we should infer that the moon is far the older of the two
bodies in years.
But if we even suppose that the earth and moon began their career as
companion planets at about the same epoch, we should still have reason to
believe that these planets, equal though they were in age so far as mere
years are concerned, must be very unequally advanced so far as development
is concerned, and must therefore in that respect be of very unequal age.
It was, I believe, Sir Isaac Newton who first called attention to the
circumstance that the larger a planet is, the longer will be the various
stages of its existence. He used the same reasoning which was afterwards
urged by Buffon, and suggested an experiment which Buffon was the first to
carry out. If two globes of iron, of unequal size, be heated to the same
degree, and then left to cool side by side, it will be found that the
larger glows with a ruddy light after the smaller has become quite dark,
and that the larger remains intensely hot long after the smaller has
become cool enough to be handled. The reason of the difference is very
readily recognised. Indeed, Newton perceived that there would be such a
difference before the matter had been experimentally tested. The quantity
of heat in the unequal globes is proportional to the volume, the substance
of each being the same. The heat is emitted from the surface, and at a
rate depending on the extent of surface. But the volume of the larger
exceeds that of the smaller in greater degree than the surface of the
larger exceeds the surface of the other. Suppose, for instance, the larger
has a diameter twice as great as that of the smaller, its surface is four
times as great as that of the smaller, its volume eight times as great.
Having, then, eight times as much heat as the smaller at the beginning,
and parting with that heat only four times as fast as the smaller, the
supply necessarily lasts twice as long; or, more exactly, each stage in
the cooling of the larger lasts twice as long as the corresponding stage
in the cooling of the smaller. We see that the duration of the heat is
greater for the larger in the same degree that the diameter is greater.
And we should have obtained the same result whatever diameters we had
considered.
Public-domain text, read in full here on John Shaqi.
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