Outlines of a mechanical theory of storms : $b containing the true law of lunar influence, with practical instructions to the navigator, to enable him approximately to calculate the coming changes of the wind and weather, for any given day, and for any part of the oceanBassnett, Thomas
Science
Outlines of a mechanical theory of storms : $b containing the true law of lunar influence, with practical instructions to the navigator, to enable him approximately to calculate the coming changes of the wind and weather, for any given day, and for any part of the ocean
Bassnett, Thomas
Weather
As the eccentricities of the planetary orbits are continually changing
under the influence of the law of gravitation, we must inquire whether,
under these circumstances, such a change would not produce a permanent
derangement by a change in the mean force of the radial stream, so as to
increase or diminish the mean distance of the planet from the sun. The
law of force deduced from the theory for the radial stream is as the 2.5
power of the distances inversely. But, by dividing this ratio, we may
make the investigation easier; for it is equivalent to two forces, one
being as the squares of the distances, and another as the square roots
of the distances. For the former force, we find that in orbits having
the same major axis the mean effect will be as the minor axis of the
ellipse _inversely_, so that two planets moving in different orbits, but
at the same mean distance, experience a less or greater amount of
centripulsive force from this radial stream, according as their orbits
are of less or greater eccentricity, and this in the ratio of the minor
axis. On the other hand, under the influence of a force acting
centripulsively in the inverse ratio of the square roots of the
distances, we find the mean effect to be as the minor axis of the
ellipse _directly_, so that two planets in orbits of different
eccentricity, but having the same major axis, experience a different
amount from the action of this radial stream, the least eccentric orbit
being that which receives the greatest mean effect. By combining these
two results, we get a ratio of equality; and, consequently, the action
of the radial stream will be the same for the same orbit, whatever
change may take place in the eccentricity, and the mean distance of the
planet will be unchanged. A little consideration will also show that the
effect of the centrifugal momentum due to the density of ether will also
be the same by change of eccentricity; for the positive will always
balance the negative effect at the greatest and least distances of the
planet. The same remark applies to the effect of the tangential current,
so that no change can be produced in the major axes of the planetary
orbits by change of eccentricity, as an effect of the resistance of the
ether.
Public-domain text, read in full here on John Shaqi.
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