On the Connexion of the Physical SciencesSomerville, Mary
Science
On the Connexion of the Physical Sciences
Somerville, Mary
Physical sciences; Science
The orbits of the principal planets have a very small obliquity or
inclination (N. 53) to the plane of the ecliptic in which the earth
moves; and, on that account, astronomers refer their motions to this
plane at a given epoch as a known and fixed position. The angular
distance of a planet from the plane of the ecliptic is its latitude
(N. 54), which is south or north according as the planet is south or
north of that plane. When the planet is in the plane of the ecliptic,
its latitude is zero; it is then said to be in its nodes (N. 55). The
ascending node is that point in the ecliptic through which the planet
passes in going from the southern to the northern hemisphere. The
descending node is a corresponding point in the plane of the ecliptic
diametrically opposite to the other, through which the planet descends
in going from the northern to the southern hemisphere. The longitude and
latitude of a planet cannot be obtained by direct observation, but are
deduced from observations made at the surface of the earth by a very
simple computation. These two quantities, however, will not give the
place of a planet in space. Its distance from the sun (N. 56) must also
be known; and, for the complete determination of its elliptical motion,
the nature and position of its orbit must be ascertained by observation.
This depends upon seven quantities, called the elements of the orbit
(N. 57). These are, the length of the major axis, and the excentricity,
which determine the form of the orbit; the longitude of the planet when
at its least distance from the sun, called the longitude of the
perihelion; the inclination of the orbit to the plane of the ecliptic,
and the longitude of its ascending node: these give the position of the
orbit in space; but the periodic time, and the longitude of the planet
at a given instant, called the longitude of the epoch, are necessary for
finding the place of the body in its orbit at all times. A perfect
knowledge of these seven elements is requisite for ascertaining all the
circumstances of undisturbed elliptical motion. By such means it is
found that the paths of the planets, when their mutual disturbances are
omitted, are ellipses nearly approaching to circles, whose planes,
slightly inclined to the ecliptic, cut it in straight lines, passing
through the centre of the sun (N. 58). The orbits of the
recently-discovered planets deviate more from the ecliptic than those of
the ancient planets: that of Pallas, for instance, has an inclination of
34° 42ʹ 29·8ʺ to it; on which account it is more difficult to determine
their motions.
Public-domain text, read in full here on John Shaqi.
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