Picture to yourself a cross, say the sails of a wind-mill (Fig. 15), in
uniform rotation about its centre. Clearly, the rotation of the cross
will appear to you more slowly executed if you are carried very rapidly
away from it. For the post which in this case conveys to you the light
and brings to you the news of the successive positions of the cross will
have to travel in each successive instant over a longer path.
Now this must also be the case with the rotation (the revolution) of the
satellite of Jupiter. The greatest retardation of the eclipse (16½
minutes), due to the passage of the earth from _E₁_ to _E₂_, or to its
removal from Jupiter by a distance equal to the diameter of the orbit of
the earth, plainly corresponds to the time which it takes light to
traverse a distance equal to the diameter of the earth's orbit. The
velocity of light, that is, the distance described by light in a second,
as determined by this calculation, is 311,000 kilometres,[15] or 193,000
miles. A subsequent correction of the diameter of the earth's orbit,
gives, by the same method, the velocity of light as approximately
186,000 miles a second.
The method is exactly that of Galileo; only better conditions are
selected. Instead of a short terrestrial distance we have the diameter
of the earth's orbit, three hundred and seven million kilometres; in
place of the uncovered and covered lanterns we have the satellite of
Jupiter, which alternately appears and disappears. Galileo, therefore,
although he could not carry out himself the proposed measurement, found
the lantern by which it was ultimately executed.
Physicists did not long remain satisfied with this beautiful discovery.
They sought after easier methods of measuring the velocity of light,
such as might be performed on the earth. This was possible after the
difficulties of the problem were clearly exposed. A measurement of the
kind referred to was executed in 1849 by Fizeau (born at Paris in 1819).
I shall endeavor to make the principle of Fizeau's apparatus clear to
you. Let _s_ (Fig. 16) be a disk free to rotate about its centre, and
perforated at its rim with a series of holes. Let _l_ be a luminous
point casting its light on an unsilvered glass, _a_, inclined at an
angle of forty-five degrees to the axis of the disk. The ray of light,
reflected at this point, passes through one of the holes of the disk and
falls at right angles upon a mirror _b_, erected at a point about five
miles distant. From the mirror _b_ the light is again reflected, passes
once more through the hole in _s_, and, penetrating the glass plate,
finally strikes the eye, _o_, of the observer. The eye, _o_, thus, sees
the image of the luminous point _l_ through the glass plate and the hole
of the disk in the mirror _b_.
[Illustration: Fig. 16.]
Public-domain text, read in full here on John Shaqi.
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