So far as can be judged his result has considerable accuracy; indeed it
is probable that the radius is now better known than that of any other
star except the sun. If you will now turn back to p. 44 and compare
it with the value found from the theory you will see that there is
cause for satisfaction. McLaughlin evaluated the other constants and
dimensions of the system; these agree equally well, but that follows
automatically because there was only one missing word to be supplied.
In both determinations the missing word or mass ratio turned out to be
5·0.
This is not quite the end of the story. Why had the first guess at
the mass ratio gone so badly wrong? We understand by now that a
disparity in mass is closely associated with a disparity in brightness
of the two stars. The disparity in brightness was given in Algol’s
original message; it informed us that the faint component gives about
one-thirteenth of the light of the bright one. (At least that was how
we interpreted it.) According to our curve this corresponds to a mass
ratio 2½, which is not much improvement on the original guess 2. For a
mass ratio 5 the companion ought to have been much fainter--in fact its
light should have been undetectable. Although considerations like these
could not have had much influence on the original guess, they seemed at
first to reassure us that there was not very much wrong with it.
Let us call the bright component Algol A and the faint component Algol
B. Some years ago a new discovery was made, namely Algol C. It was
found that Algol A and B together travel in an orbit round a third star
in a period of just under two years--at least they are travelling round
in this period, and we must suppose that there is something present
for them to revolve around. Hitherto we had believed that when Algol
A was nearly hidden at the time of deepest eclipse all the remaining
light must come from Algol B; but now it is clear that it belongs to
Algol C, which is always shining without interference. Consequently the
mass ratio 2½ is that of Algol A to Algol C. The light from Algol B is
inappreciable as it should be for a mass ratio 5.[11]
The message from Algol A and B was confused, not only on account of
the missing word, but because a word or two of another message from
Algol C had got mixed up with it; so that even when the missing word
was found to be ‘five’ and confirmed in two ways, the message was
not quite coherent. In another place the message seemed to waver
and read ‘two-and-a-half’. The finishing step is the discovery that
‘two-and-a-half’ belongs to a different message from a previously
unsuspected star, Algol C. And so it all ends happily.
Public-domain text, read in full here on John Shaqi.
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