A Preliminary Dissertation on the Mechanisms of the HeavensSomerville, Mary
Science
A Preliminary Dissertation on the Mechanisms of the Heavens
Somerville, Mary
Celestial mechanics
It is beyond a doubt that the strata increase in density from the
surface of the earth to its centre, which is even proved by the lunar
inequalities; and it is manifest from the mensuration of arcs of the
meridian and the lengths of the seconds pendulum that the strata are
elliptical and concentric. This certainly would have happened if the
earth had originally been fluid, for the denser parts must have subsided
towards the centre, as it approached a state of equilibrium; but the
enormous pressure of the superincumbent mass is a sufficient cause for
these phenomena. Professor Leslie observes, that air compressed into the
fiftieth part of its volume has its elasticity fifty times augmented; if
it continue to contract at that rate, it would, from its own incumbent
weight, acquire the density of water at the depth of thirty-four miles.
But water itself would have its density doubled at the depth of
ninety-three miles, and would even attain the density of quicksilver at
a depth of 362 miles. In descending therefore towards the centre through
4000 miles, the condensation of ordinary materials would surpass the
utmost powers of conception. But a density so extreme is not borne out
by astronomical observation. It might seem therefore to follow, that our
planet must have a widely cavernous structure, and that we tread on a
crust or shell, whose thickness bears a very small proportion to the
diameter of its sphere. Possibly too this great condensation at the
central regions may be counterbalanced by the increased elasticity due
to a very elevated temperature. Dr. Young says that steel would be
compressed into one-fourth, and stone into one-eighth of its bulk at the
earth's centre. However we are yet ignorant of the laws of compression
of solid bodies beyond a certain limit; but, from the experiments of Mr.
Perkins, they appear to be capable of a greater degree of compression
than has generally been imagined.
It appears then, that the axis of rotation is invariable on the surface
of the earth, and observation shows, that were it not for the action of
the sun and moon on the matter at the equator, it would remain parallel
to itself in every point of its orbit.
The attraction of an exterior body not only draws a spheroid towards it;
but, as the force varies inversely as the square of the distance, it
gives it a motion about its centre of gravity, unless when the
attracting body is situated in the prolongation of one of the axes of
the spheroid.
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