Measures with the interferometer show its angular diameter to be
0.047 of a second of arc, corresponding to a linear diameter of
215,000,000 miles, if the best available determination of its distance
can be relied upon. This determination shows Betelgeuse to be 160
light-years from the earth. Light travels at the rate of 186,000
miles per second, and yet spends 160 years on its journey to us
from this star.]
On December 13, 1920, Mr. Pease successfully measured the diameter
of Betelgeuse with the 20-foot interferometer. As the outer mirrors
were separated the interference fringes gradually became less distinct,
as theory requires, and as Doctor Merrill had previously seen when
observing Betelgeuse with the interferometer used for Capella. At
a separation of 10 feet the fringes disappeared completely, giving
the data required for calculating the diameter of the star. To
test the perfection of the adjustment, the telescope was turned to
other stars, of smaller angular diameter, which showed the fringes
with perfect clearness. Turning back to Betelgeuse, they were seen
beyond doubt to be absent. Assuming the mean wave-length of the
light of this star to be 5750/10000000 of a millimetre, its angular
diameter comes out 0.047 of a second of arc, thus falling between
the values--0.051 and 0.031 of a second--predicted by Eddington and
Russell from slightly different assumptions. Subsequent corrections
and repeated measurement will change Mr. Pease's result somewhat,
but it is almost certainly within 10 or 15 per cent of the truth.
We may therefore conclude that the angular diameter of Betelgeuse
is very nearly the same as that of a ball one inch in diameter,
seen at a distance of seventy miles.
[Illustration: Fig. 26. Arcturus (within the white circle), known
to the Arabs as the "Lance Bearer," and to the Chinese as the "Great
Horn" or the "Palace of the Emperors" (Hubble).
Its angular diameter, measured at Mount Wilson by Pease with the
20-foot Michelson interferometer on April 15, 1921, is 0.022 of a
second, in close agreement with Russell's predicted value of 0.019
of a second. The mean parallax of Arcturus, based upon several
determinations, is 0.095 of a second, corresponding to a distance of
34 light-years. The linear diameter, computed from Pease's measure
and this value of the distance is about 21 million miles.]
Public-domain text, read in full here on John Shaqi.
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