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
It is evident from the figure, that if a spectator were situated where
the moon's shadow strikes the earth, the moon would cut off from him the
view of the sun, or the sun would be totally eclipsed. Or, if he were
within a certain distance of the shadow on either side, the moon would
be partly between him and the sun, and would intercept from him more or
less of the sun's light, according as he was nearer to the shadow or
further from it. If he were at _c_ or _d_, he would just see the moon
entering upon the sun's disk; if he were nearer the shadow than either
of these points, he would have a portion of this light cut off from his
view, and more, in proportion as he drew nearer the shadow; and the
moment he entered the shadow, he would lose sight of the sun. To all
places between _a_ or _b_ and the shadow, the sun would cast a partial
shadow of the moon, growing deeper and deeper, as it approached the true
shadow. This partial shadow is called the moon's _penumbra_. In like
manner, as the moon approaches the earth's shadow, in a lunar eclipse,
as soon as she arrives at _a_, the earth begins to intercept from her a
portion of the sun's light, or she falls in the earth's penumbra. She
continues to lose more and more of the sun's light, as she draws near to
the shadow, and hence her disk becomes gradually obscured, until it
enters the shadow, when the sun's light is entirely lost.
As the sun and earth are both situated in the plane of the ecliptic, if
the moon also revolved around the earth in this plane, we should have a
solar eclipse at every new moon, and a lunar eclipse at every full moon;
for, in the former case, the moon would come directly between us and
the sun, and in the latter case, the earth would come directly between
the sun and the moon. But the moon is inclined to the ecliptic about
five degrees, and the centre of the moon may be all this distance from
the centre of the sun at new moon, and the same distance from the centre
of the earth's shadow at full moon. It is true, the moon extends across
her path, one half her breadth lying on each side of it, and the sun
likewise reaches from the ecliptic a distance equal to half his breadth.
But these luminaries together make but little more than a degree, and
consequently, their two semidiameters would occupy only about half a
degree of the five degrees from one orbit to the other where they are
furthest apart. Also, the earth's shadow, where the moon crosses it,
extends from the ecliptic less than three fourths of a degree, so that
the semidiameter of the moon and of the earth's shadow would together
reach but little way across the space that may, in certain cases,
separate the two luminaries from each other when they are in opposition.
Thus, suppose we could take hold of the circle in the figure that
represents the moon's orbit, (Fig. 42, page 197,) and lift the moon up
five degrees above the plane of the paper, it is evident that the moon,
Public-domain text, read in full here on John Shaqi.
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