At least this is true in first approximation, but the case would be no
longer the same if we could appreciate the thousandths of a second. Then
it would be seen that the amplitude of the oscillation depends not alone
on the variation of the motion, a variation which is well known, since
it is the motion of our globe on its elliptic orbit, but on the mean
value of this motion, so that the constant of aberration would not be
quite the same for all the stars, and the differences would tell us the
absolute motion of the earth in space.
This, then, would be, under another form, the ruin of the principle of
relativity. We are far, it is true, from appreciating the thousandth of
a second, but, after all, say some, the earth's total absolute velocity
is perhaps much greater than its relative velocity with respect to the
sun. If, for example, it were 300 kilometers per second in place of 30,
this would suffice to make the phenomenon observable.
I believe that in reasoning thus one admits a too simple theory of
aberration. Michelson has shown us, I have told you, that the physical
procedures are powerless to put in evidence absolute motion; I am
persuaded that the same will be true of the astronomic procedures,
however far precision be carried.
However that may be, the data astronomy will furnish us in this regard
will some day be precious to the physicist. Meanwhile, I believe that
the theorists, recalling the experience of Michelson, may anticipate a
negative result, and that they would accomplish a useful work in
constructing a theory of aberration which would explain this in advance.
_Electrons and Spectra._--This dynamics of electrons can be approached
from many sides, but among the ways leading thither is one which has
been somewhat neglected, and yet this is one of those which promise us
the most surprises. It is movements of electrons which produce the lines
of the emission spectra; this is proved by the Zeeman effect; in an
incandescent body what vibrates is sensitive to the magnet, therefore
electrified. This is a very important first point, but no one has gone
farther. Why are the lines of the spectrum distributed in accordance
with a regular law? These laws have been studied by the experimenters in
their least details; they are very precise and comparatively simple. A
first study of these distributions recalls the harmonics encountered in
acoustics; but the difference is great. Not only are the numbers of
vibrations not the successive multiples of a single number, but we do
not even find anything analogous to the roots of those transcendental
equations to which we are led by so many problems of mathematical
physics: that of the vibrations of an elastic body of any form, that of
the Hertzian oscillations in a generator of any form, the problem of
Fourier for the cooling of a solid body.
Public-domain text, read in full here on John Shaqi.
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