Letters on Astronomy: in which the Elements of the Science are Familiarly Explained in Connection with Biographical Sketches of the Most Eminent AstronomersOlmsted, Denison
Science
Letters on Astronomy: in which the Elements of the Science are Familiarly Explained in Connection with Biographical Sketches of the Most Eminent Astronomers
Olmsted, Denison
Astronomy
as seen from the earth, would appear in the heavens five degrees above
the sun, and of course would cut off none of his light; and it is also
plain that the moon, at the full, would pass the shadow of the earth
five degrees below it, and would suffer no eclipse. But in the course of
the sun's apparent revolution round the earth once a year he is
successively in every part of the ecliptic; consequently, the
conjunctions and oppositions of the sun and moon may occur at any part
of the ecliptic, and of course at the two points where the moon's orbit
crosses the ecliptic,--that is, at the nodes; for the sun must
necessarily come to each of these nodes once a year. If, then, the moon
overtakes the sun just as she is crossing his path, she will hide more
or less of his disk from us. Since, also, the earth's shadow is always
directly opposite to the sun, if the sun is at one of the nodes, the
shadow must extend in the direction of the other node, so as to lie
directly across the moon's path; and if the moon overtakes it there, she
will pass through it, and be eclipsed. Thus, in Fig. 43, let BN
represent the sun's path, and AN, the moon's,--N being the place of the
node; then it is evident, that if the two luminaries at new moon be so
far from the node, that the distances between their centres is greater
than their semidiameters, no eclipse can happen; but if that distance is
less than this sum, as at E, F, then an eclipse will take place; but if
the position be as at C, D, the two bodies will just touch one another.
If A denotes the earth's shadow, instead of the sun, the same
illustration will apply to an eclipse of the moon.
[Illustration Fig. 43.]
Since bodies are defined to be in conjunction when they are in the
_same_ part of the heavens, and to be in opposition when they are in
_opposite_ parts of the heavens, it may not appear how the sun and moon
can be in conjunction, as at A and B, when they are still at some
distance from each other. But it must be recollected that bodies are in
conjunction when they have the same longitude, in which case they are
situated in the same great circle perpendicular to the ecliptic,--that
is, in the same secondary to the ecliptic. One of these bodies may be
much further from the ecliptic than the other; still, if the same
secondary to the ecliptic passes through them both, they will be in
conjunction or opposition.
In a total eclipse of the moon, its disk is still visible, shining with
a dull, red light. This light cannot be derived directly from the sun,
since the view of the sun is completely hidden from the moon; nor by
reflection from the earth, since the illuminated side of the earth is
wholly turned from the moon; but it is owing to refraction from the
earth's atmosphere, by which a few scattered rays of the sun are bent
round into the earth's shadow and conveyed to the moon, sufficient in
number to afford the feeble light in question.
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