But if the _target_ is in motion, on an armoured train for instance,
then the marker will be at fault. The hole will not point to the man
who fired the shot, but to an individual ahead of him. _The source
will appear to be displaced in the direction of the observer's
motion._ This is common aberration. It is the simplest thing in the
world. The easiest illustration of it is that when you run through a
vertical shower, you tilt your umbrella forward; or, if you have not
got one, the drops hit you in the face; more accurately, your face as
you run forward hits the drops. So the shower appears to come from a
cloud ahead of you, instead of from one overhead.
We have thus three motions to consider, that of the source, of the
receiver, and of the medium; and, of these, only motion of receiver is
able to cause an aberrational error in fixing the position of the
source.
So far we have attended to the case of projectiles, with the object of
leading up to light. But light does not consist of projectiles, it
consists of waves; and with waves matters are a little different.
Waves crawl through a medium at their own definite pace; they cannot
be _flung_ forwards or sideways by a moving source; they do not move
by reason of an initial momentum which they are gradually expending,
as shots do; their motion is more analogous to that of a bird or other
self-propelling animal, than it is to that of a shot. The motion of a
wave in a moving medium may be likened to that of a rowing-boat on a
river. It crawls forward with the water, and it drifts with the water;
its resultant motion is compounded of the two, but it has nothing to
do with the motion of its source. A shot from a passing steamer
retains the motion of the steamer as well as that given it by the
powder. It is projected therefore in a slant direction. But a boat
lowered from the side of a passing steamer, and rowing off, retains
none of the motion of its source; it is not projected, it is
self-propelled. That is like the case of a wave.
The diagram illustrates the difference. Fig. 1 shows a moving cannon
or machine-gun, moving with the arrow, and firing a succession of
shots which share the motion of the cannon as well as their own, and
so travel slant. The shot fired from position 1 has reached A, that
fired from position 2 has reached B, and that fired from position 3
has reached C, by the time the fourth shot is fired at D. The line A B
C D is a prolongation of the axis of the gun; it is the line of aim,
but it is not the line of fire; all the shots are travelling aslant
this line, as shown by the arrows. There are thus two directions to be
distinguished. There is the row of successive shots, and there is the
path of any one shot. These two directions enclose an angle. It may be
called an aberration angle, because it is due to the motion of the
source, but it need not give rise to any aberration. True direction
may still be perceived from the point of view of the receiver.
Public-domain text, read in full here on John Shaqi.
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