On the Connexion of the Physical SciencesSomerville, Mary
Science
On the Connexion of the Physical Sciences
Somerville, Mary
Physical sciences; Science
The forms of the planets result from the reciprocal attraction of their
component particles. A detached fluid mass, if at rest, would assume the
form of a sphere, from the reciprocal attraction of its particles. But
if the mass revolve about an axis, it becomes flattened at the poles and
bulges at the equator (N. 11), in consequence of the centrifugal force
arising from the velocity of rotation (N. 30); for the centrifugal force
diminishes the gravity of the particles at the equator, and equilibrium
can only exist where these two forces are balanced by an increase of
gravity. Therefore, as the attractive force is the same on all particles
at equal distances from the centre of a sphere, the equatorial particles
would recede from the centre, till their increase in number balance the
centrifugal force by their attraction. Consequently, the sphere would
become an oblate or flattened spheroid, and a fluid, partially or
entirely covering a solid, as the ocean and atmosphere cover the earth,
must assume that form in order to remain in equilibrio. The surface of
the sea is, therefore, spheroidal, and the surface of the earth only
deviates from that figure where it rises above or sinks below the level
of the sea. But the deviation is so small, that it is unimportant when
compared with the magnitude of the earth; for the mighty chain of the
Andes, and the yet more lofty Himalaya, bear about the same proportion
to the earth that a grain of sand does to a globe three feet in
diameter. Such is the form of the earth and planets. The compression
(N. 31) or flattening at their poles is, however, so small, that even
Jupiter, whose rotation is the most rapid, and therefore the most
elliptical of the planets, may, from his great distance, be regarded as
spherical. Although the planets attract each other as if they were
spheres, on account of their distances, yet the satellites (N. 32) are
near enough to be sensibly affected in their motions by the forms of
their primaries. The moon, for example, is so near the earth, that the
reciprocal attraction between each of her particles, and each of the
particles in the prominent mass at the terrestrial equator, occasions
considerable disturbances in the motions of both bodies; for the action
of the moon on the matter at the earth’s equator produces a nutation
(N. 33) in the axis (N. 34) of rotation, and the reaction of that matter
on the moon is the cause of a corresponding nutation in the lunar orbit
(N. 35).
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