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 rotation of the earth is uniform; therefore day and night, summer
and winter, will continue their vicissitudes while the system endures,
or is untroubled by foreign causes.
Yonder starry sphere
Of planets, and of fix'd, in all her wheels
Resembles nearest, mazes intricate,
Eccentric, intervolv'd, yet regular
Then most, when most irregular they seem.
The stability of our system was established by La Grange, 'a discovery,'
says Professor Playfair, 'that must render the name for ever memorable
in science, and revered by those who delight in the contemplation of
whatever is excellent and sublime. After Newton's discovery of the
elliptical orbits of the planets, La Grange's discovery of their
periodical inequalities is without doubt the noblest truth in physical
astronomy; and, in respect of the doctrine of final causes, it may be
regarded as the greatest of all.'
Notwithstanding the permanency of our system, the secular variations in
the planetary orbits would have been extremely embarrassing to
astronomers, when it became necessary to compare observations separated
by long periods. This difficulty is obviated by La Place, who has shown
that whatever changes time may induce either in the orbits themselves,
or in the plane of the ecliptic, there exists an invariable plane
passing through the centre of gravity of the sun, about which the whole
system oscillates within narrow limits, and which is determined by this
property; that if every body in the system be projected on it, and if
the mass of each be multiplied by the area described in a given time by
its projection on this plane, the sum of all these products will be a
maximum. This plane of greatest inertia, by no means peculiar to the
solar system, but existing in every system of bodies submitted to their
mutual attractions only, always remains parallel to itself, and
maintains a fixed position, whence the oscillations of the system may be
estimated through unlimited time. It is situate nearly half way between
the orbits of Jupiter and Saturn, and is inclined to the ecliptic at an
angle of about 1° 35' 31".
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