We can summarize the principle of the method in the following way. The
image of a point of light seen through a telescope is not a point but
a small diffraction pattern. Hence, if we look at an extended object,
say Mars, the diffraction pattern will blur the fine detail of the
marking on the planet. If, however, we are looking at a star which
is almost a point, it is simpler to invert the idea; the object, not
being an ideal point, will slightly blur the detail of the diffraction
pattern. We shall only perceive the blurring if the diffraction pattern
contains detail fine enough to suffer from it. Betelgeuse on account
of its finite size must theoretically blur a diffraction pattern; but
the ordinary diffraction disk and rings produced with the largest
telescope are too coarse to show this. We create a diffraction image
with finer detail by using two apertures. Theoretically we can make the
detail as fine as we please by increasing the separation of the two
apertures. The method accordingly consists in widening the separation
until the pattern becomes fine enough to be perceptibly blurred by
Betelgeuse. For a smaller star-disk the same effect of blurring would
not be apparent until the detail had been made still finer by further
separation of the apertures.
This method was devised long ago by Professor Michelson, but it was
only in 1920 that he tried it on a large scale with a great 20-foot
beam across the 100-inch reflector at Mount Wilson Observatory. After
many attempts Pease and Anderson were able to show that the bright
and dark bands for Betelgeuse disappeared when the apertures were
separated 10 feet. The deduced diameter is 0·045 a second of arc in
good enough agreement with the predicted value (p. 78). Only five or
six stars have disks large enough to be measured with this instrument.
It is understood that the construction of a 50-foot interferometer
is contemplated; but even this will be insufficient for the great
majority of the stars. We are fairly confident that the method of
calculation first described gives the correct diameters of the stars,
but confirmation by Michelson’s more direct method of measurement is
always desirable.
To infer the actual size of the star from its apparent diameter, we
must know the distance. Betelgeuse is rather a remote star and its
distance cannot be measured very accurately, but the uncertainty will
not change the general order of magnitude of the results. The diameter
is about 300 million miles. Betelgeuse is large enough to contain the
whole orbit of the earth inside it, perhaps even the orbit of Mars. Its
volume is about fifty million times the volume of the sun.
Public-domain text, read in full here on John Shaqi.
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