Outlines of the Earth's History: A Popular Study in PhysiographyShaler, Nathaniel Southgate
History
Outlines of the Earth's History: A Popular Study in Physiography
Shaler, Nathaniel Southgate
Physical geography
If, now, in that excellent field for the experiment we are essaying,
the mind's eye, we add a second planet outside of the single sphere
which we have so far supposed to journey about the sun, or rather
about the common centre of gravity, we perceive at once that we have
introduced an element which leads to a complication of much
importance. The new sphere would, of course, pull upon the others in
the measure of its gravitative value--i.e., its weight. The centre of
gravity of the system would now be determined not by two distinct
bodies, but by three. If we conceive the second planet to journey
around the sun at such a rate that a straight line always connected
the centres of the three orbs, then the only effect on their
gravitative centre would be to draw the first-mentioned planet a
little farther away from the centre of the sun; but in our own solar
system, and probably in all others, this supposition is inadmissible,
because the planets have longer journeys to go and also move slower,
the farther they are from the sun. Thus Mercury completes the circle
of its year in eighty-eight of our days, while the outermost planet
requires sixty thousand days (more than one hundred and sixty-four
years) for the same task. The result is not only that the centre of
gravity of the system is somewhat displaced--itself a matter of no
great account--but also that the orbit of the original planet ceases
to be circled and becomes elliptical, and this for the evident reason
that the sphere will be drawn somewhat away from the sun when the
second planet happens to lie in the part of its orbit immediately
outside of its position, in which case the pull is away from the solar
centre; while, on the other hand, when the new planet was on the other
side of the sun, its pull would serve to intensify the attraction
which drew the first sphere toward the centre of gravity. As the
pulling action of the three bodies upon each other, as well as upon
their equatorial protuberances, would vary with every change in their
relative position, however slight, the variations in the form of their
orbits, even if the spheres were but three in number, would be very
important. The consequences of these perturbations will appear in the
sequel.
Public-domain text, read in full here on John Shaqi.
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