Stellar Evolution and Its Relations to Geological TimeCroll, James
Science
Stellar Evolution and Its Relations to Geological Time
Croll, James
Cosmogony; Geological time; Stars -- Evolution
B. _Solid globes colliding under the influence of gravity alone._—As we
have already seen, the view has been adopted by Sir W. Thomson that the
solar nebula may have resulted from the colliding of cold, solid globes
with the velocity due to their mutual gravitation alone. He states his
views as follows:
“Suppose, now, that 29,000,000 cold, solid globes, each of about the
same mass as the moon, and amounting in all to a total mass equal to the
sun’s, are scattered as uniformly as possible on a spherical surface of
radius equal to one hundred times the radius of the earth’s orbit, and
that they are left absolutely at rest in that position. They will all
commence falling towards the centre of the sphere, and will meet there
in 250 years, and every one of the 29,000,000 globes will then, in the
course of half an hour, be melted, and raised to a temperature of a few
hundred thousand or a million degrees Centigrade. The fluid mass thus
formed will, by this prodigious heat, be exploded outwards in vapour or
gas all round. Its boundary will reach to a distance considerably less
than one hundred times the radius of the earth’s orbit on first flying
out to its extreme limit. A diminishing series of out-and-in
oscillations will follow, and the incandescent globe, thus contracting
and expanding alternately, in the course, it may be, of 300 or 400
years, will settle to a radius of forty times the radius of the earth’s
orbit.”[17]
[Footnote 17: _Proceedings of Royal Institution_, vol. xii. p. 16.]
The reason which he assigns for the incandescent globe settling down at
a radius forty times that of the earth’s orbit is as follows: “The
radius of a steady globular gaseous nebula of any homogeneous gas is 40
per cent. of the radius of the spherical surface from which its
ingredients must fall to their actual positions in the nebula to have
the same kinetic energy as the nebula has.”
If the solar nebula thus produced would be swelled out into a spherical
incandescent mass with a radius 40 times the radius of the earth’s
orbit, simply because the globes fell from a distance of 100 times the
radius of that orbit, then for a similar reason the mass would have a
radius of 400 times that of the earth’s orbit had the globes fallen from
a distance of 1,000 times the radius, and 400,000 times if the globes
had fallen from a distance of 1,000,000 times the radius, and two-fifths
of any conceivable distance from which they may have fallen.
Supposing all this to be _physically_ possible, which it undoubtedly is
not, still the heat generated would not be sufficient; for, whatever the
radius of the nebula might be, its entire energy, both kinetic and
potential, is simply what is obtained from gravitation, and this, as we
have seen, is insufficient.
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