Popular lectures on scientific subjects : $b Second series, with an autobiography of the authorHelmholtz, Hermann von
Science
Popular lectures on scientific subjects : $b Second series, with an autobiography of the author
Helmholtz, Hermann von
Science; Universities and colleges -- Germany
We will now pass to the question of the permanence of the present
condition of our system. For a long time the view was pretty generally
held that, in its chief features at any rate, it was unchangeable.
This opinion was based mainly on the conclusions at which Laplace had
arrived as the final results of his long and laborious investigations,
of the influence of planetary disturbances. By disturbances of the
planetary motion astronomers understand, as I have already mentioned,
those deviations from the purely elliptical motion which are due to
the attraction of various planets and satellites upon each other. The
attraction of the sun, as by far the largest body of our system, is
indeed the chief and preponderating force which produces the motion
of the planets. If it alone were operative, each of the planets would
move continuously in a constant ellipse whose axes would retain the
same direction and the same magnitude, making the revolutions always
in the same length of time. But, in point of fact, in addition to the
attraction of the sun there are the attractions of all other planets,
which, though small, yet, in long periods of time, do effect slow
changes in the plane, the direction, and the magnitude of the axes
of its elliptical orbit. It has been asked whether these attractions
in the orbit of the planet could go so far as to cause two adjacent
planets to encounter each other, so that individual ones fall into
the sun. Laplace was able to reply that this could not be the case;
that all alterations in the planetary orbits produced by this kind
of disturbance must periodically increase and decrease, and again
revert to a mean condition. But it must not be forgotten that this
result of Laplace’s investigations only applies to disturbances due
to the reciprocal attraction of planets upon each other, and on the
assumption that no forces of other kinds have any influence on their
motions.
On our earth we cannot produce such an everlasting motion as that of
the planets seems to be; for resisting forces are continually being
opposed to all movements of terrestrial bodies. The best known of these
are what we call friction, resistance of the air, and inelastic impact.
Hence the fundamental law of mechanics, according to which every motion
of a body on which no force acts goes on in a straight line for ever
with unchanged velocity, never holds fully.
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