If you compare these with the original figures you will see that there
is a great alteration. The star is now assigned a large mass much
more appropriate to a B-type star. It also turns out that Algol is
more than a hundred times as bright as the sun; and its parallax is
0·028"--twice the distance previously supposed.
At the time there seemed little likelihood that these conclusions could
be tested. Possibly the prediction as to the parallax might be proved
or disproved by a trigonometrical determination; but it is so small as
to be almost out of range of reasonably accurate measurement. We could
only adopt a ‘take it or leave it’ attitude--‘If you accept the theory,
_this_ is what Algol is like; if you distrust the theory, these
results are of no interest to you.’
But meanwhile two astronomers at Ann Arbor Observatory had been making
a search for the missing word by a remarkable new method. They had in
fact found the word and published it a year before, but it had not
become widely known. If a star is rotating, one edge or ‘limb’ is
coming towards us and the other going away from us. We can measure
speeds towards us or away from us by means of the Doppler effect on
the spectrum, obtaining a definite result in miles per second. Thus
we can and do measure the equatorial speed of rotation of the sun
by observing first the east limb then the west limb and taking the
difference of velocity shown. That is all very well on the sun, where
you can cover up the disk except the special part that you want to
observe; but how can you cover up part of a star when a star is a mere
point of light? _You_ cannot; but in Algol the covering up is done
for you. The faint component is your screen. As it passes in front
of the bright star there is a moment when it leaves a thin crescent
showing on the east and another moment when a thin crescent on the west
is uncovered. Of course, the star is too far away for you actually to
see the crescent shape, but at these moments you receive light from
the crescents only, the rest of the disk being hidden. By seizing
these moments you can make the measurements just as though you had
manipulated the screen yourself. Fortunately the speed of rotation of
Algol is large and so can be measured with relatively small error. Now
multiply the equatorial velocity by the period of rotation;[10] that
will give you the circumference of Algol. Divide by 6·28, and you have
the radius.
That was the method developed by Rossiter and McLaughlin. The latter
who applied it to Algol found the radius of the bright component to be
2,180,000 kilometres.
Public-domain text, read in full here on John Shaqi.
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