That eclipses of the moon were caused by the passage of the moon
through the shadow of the earth thrown by the sun, or, in other words,
by the interposition of the earth between the sun and moon, and
eclipses of the sun by the passage of the moon between the sun and the
observer, was perfectly well known to Greek astronomers in the time of
Aristotle (§ 29), and probably much earlier (chapter I., § 17), though
the knowledge was probably confined to comparatively few people and
superstitious terrors were long associated with eclipses.
The chief difficulty in dealing with eclipses depends on the fact that
the moon’s path does not coincide with the ecliptic. If the moon’s path
on the celestial sphere were identical with the ecliptic, then, once
every month, at new moon, the moon (M) would pass exactly between the
earth and the sun, and the latter would be eclipsed, and once every
month also, at full moon, the moon (M′) would be in the opposite
direction to the sun as seen from the earth, and would consequently be
obscured by the shadow of the earth.
[Illustration: FIG. 25.—The earth’s shadow.]
[Illustration: FIG. 26.—The ecliptic and the moon’s path.]
As, however, the moon’s path is inclined to the ecliptic (§ 40), the
latitudes of the sun and moon may differ by as much as 5°, either when
they are in =conjunction=, _i.e._ when they have the same longitudes,
or when they are in =opposition=, _i.e._ when their longitudes differ
by 180°, and they will then in either case be too far apart for an
eclipse to occur. Whether then at any full or new moon an eclipse will
occur or not, will depend primarily on the latitude of the moon at the
time, and hence upon her position with respect to the nodes of her
orbit (§ 40). If conjunction takes place when the sun and moon happen
to be near one of the nodes (N), as at S M in fig. 26, the sun and moon
will be so close together that an eclipse will occur; but if it occurs
at a considerable distance from a node, as at S′ M′, their centres are
so far apart that no eclipse takes place.
Public-domain text, read in full here on John Shaqi.
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