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
In order to understand the nature of refraction, we must consider, that
an object always appears in the direction in which the _last_ ray of
light comes to the eye. If the light which comes from a star were bent
into fifty directions before it reached the eye, the star would
nevertheless appear in the line described by the ray nearest the eye.
The operation of this principle is seen when an oar, or any stick, is
thrust into water. As the rays of light by which the oar is seen have
their direction changed as they pass out of water into air, the apparent
direction in which the body is seen is changed in the same degree,
giving it a bent appearance,--the part below the water having apparently
a different direction from the part above. Thus, in Fig. 22, page 96, if
S _a x_ be the oar, S _a b_ will be the bent appearance, as affected by
refraction. The transparent substance through which any ray of light
passes is called a _medium_. It is a general fact in optics, that, when
light passes out of a rarer into a denser medium, as out of air into
water, or out of space into air, it is turned _towards_ a perpendicular
to the surface of the medium; and when it passes out of a denser into a
rarer medium, as out of water into air, it is turned _from_ the
perpendicular. In the above case, the light, passing out of space into
air, is turned towards the radius of the earth, this being perpendicular
to the surface of the atmosphere; and it is turned more and more towards
that radius the nearer it approaches to the earth, because the density
of the air rapidly increases near the earth.
[Illustration Fig. 22.]
Let us now conceive of the atmosphere as made up of a great number of
parallel strata, as A A, B B, C C, and D D, increasing rapidly in
density (as is known to be the fact) in approaching near to the surface
of the earth. Let S be a star, from which a ray of light, S _a_, enters
the atmosphere at _a_, where, being much turned towards the radius of
the convex surface, it would change its direction into the line _a b_,
and again into _b c_, and _c_ O, reaching the eye at O. Now, since an
object always appears in the direction in which the light finally
strikes the eye, the star would be seen in the direction O _c_, and,
consequently, the star would apparently change its place, by
refraction, from S to S´, being elevated out of its true position.
Moreover, since, on account of the continual increase of density in
descending through the atmosphere, the light would be continually turned
out of its course more and more, it would therefore move, not in the
polygon represented in the figure, but in a corresponding curve line,
whose curvature is rapidly increased near the surface of the earth.
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