A Preliminary Dissertation on the Mechanisms of the HeavensSomerville, Mary
Science
A Preliminary Dissertation on the Mechanisms of the Heavens
Somerville, Mary
Celestial mechanics
The form of the planets results 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 revolves about an axis, it becomes flattened at the poles,
and bulges at the equator, in consequence of the centrifugal force
arising from the velocity of rotation. For, the centrifugal force
diminishes the gravity of the particles at the equator, and equilibrium
can only exist when 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 balanced the
centrifugal force by their attraction, consequently the sphere would
become an oblate 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. Such is the form of the earth and planets,
but the compression or flattening at their poles is so small, that even
Jupiter, whose rotation is the most rapid, differs but little from a
sphere. Although the planets attract each other as if they were spheres
on account of their immense distances, yet the satellites 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 in
the axis of rotation, and the reaction of that matter on the moon is the
cause of a corresponding nutation in the lunar orbit.
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