On the Connexion of the Physical SciencesSomerville, Mary
Science
On the Connexion of the Physical Sciences
Somerville, Mary
Physical sciences; Science
On account of the reciprocal action of matter, the stability of the
system depends upon the intensity of the primitive momentum (N. 59) of
the planets, and the ratio of their masses to that of the sun; for the
nature of the conic sections in which the celestial bodies move depends
upon the velocity with which they were first propelled in space. Had
that velocity been such as to make the planets move in orbits of
unstable equilibrium (N. 60), their mutual attractions might have
changed them into parabolas, or even hyperbolas (N. 22); so that the
earth and planets might, ages ago, have been sweeping far from our sun
through the abyss of space. But as the orbits differ very little from
circles, the momentum of the planets, when projected, must have been
exactly sufficient to ensure the permanency and stability of the system.
Besides, the mass of the sun is vastly greater than that of any planet;
and as their inequalities bear the same ratio to their elliptical
motions that their masses do to that of the sun, their mutual
disturbances only increase or diminish the excentricities of their
orbits by very minute quantities; consequently the magnitude of the
sun’s mass is the principal cause of the stability of the system. There
is not in the physical world a more splendid example of the adaptation
of means to the accomplishment of an end than is exhibited in the nice
adjustment of these forces, at once the cause of the variety and of the
order of Nature.
SECTION III.
Perturbations, Periodic and Secular—Disturbing Action equivalent to
three Partial Forces—Tangential Force the cause of the Periodic
Inequalities in Longitude, and Secular Inequalities in the Form and
Position of the Orbit in its own Plane—Radial Force the cause of
Variations in the Planet’s Distance from the Sun—It combines with the
Tangential Force to produce the Secular Variations in the Form and
Position of the Orbit in its own Plane—Perpendicular Force the cause
of Periodic Perturbations in Latitude, and Secular Variations in the
Position of the Orbit with regard to the Plane of the Ecliptic—Mean
Motion and Major Axis Invariable—Stability of System—Effects of a
Resisting Medium—Invariable Plane of the Solar System and of the
Universe—Great Inequality of Jupiter and Saturn.
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