The Scientific Monthly, October to December, 1915Various
Science
The Scientific Monthly, October to December, 1915
Various
Science -- Periodicals; Technology -- Periodicals
6. Laplace's hypothesis would seem to require that the orbits
of the planets be circular or very nearly so. The orbits of all
except Venus and Neptune are quite eccentric, and Mercury's
orbit, which should have the nearest approach to circularity,
is by far the most eccentric.
7. If the planetary rings were abandoned by centrifugal action,
we should expect the Sun to be rotating in the principal plane
of the planet system. The major planets, from Venus out to
Neptune, are revolving in nearly a common plane. The Sun,
containing 99 6/7 per cent. of all the material in the system,
has its equator inclined 7 degrees to the planet plane. This
discrepancy is a very serious and I think fatal objection to
Laplace's hypothesis, as Chamberlin has emphasized.
8. Laplace assumed a nebula whose form was a function of its
rotational speed, its gravitation, its internal heat, and,
although he does not so state, of its internal friction. He did
not distribute the matter within the nebula to conform in any
way to the distribution as we observe it to-day, but he let the
entire structure contract, following the loss of heat, until
the maintenance of equilibrium required the successive
abandoning of seven or eight rings. He mentions a central
condensation, but gives no further particulars. Thirty years
ago Fouche established clearly that the condensing of Laplace's
assumed nebula into the present solar system would involve the
violent breaking of the law known as the conservation of moment
of momentum. Fouche proved that a distribution of matter beyond
any conception of the subject by Laplace must be assumed. Fully
96 per cent. must be condensed in the central nucleus AT THE
OUTSET, and not more than 4 per cent. of the total mass must
lie outside of the nucleus and be widely distributed throughout
the volume of the solar system. Chamberlin puts the case very
strongly in another way. If the planet Mercury was abandoned as
a ring of nebulosity, the equatorial velocity of the remaining
central mass must at that time have been in the neighborhood of
45 km. per second, as this is the orbital speed of Mercury. If
the central mass condensed to the present size of the Sun, the
Sun's equatorial velocity of rotation should now be fully 400
km. per second, in accordance with the requirement of the rigid
law of constancy of moment of momentum. The Sun's actual
equatorial velocity is only 2 km. per second!
In several other respects the hypothesis of Laplace, as he
proposed it, fails to account for the facts as they are
observed to exist.
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