But this represents only the angle subtended by the star's disk.
To learn its linear diameter, we must know its distance. Four
determinations of the parallax, which determines the distance,
have been made. Elkin, with the Yale heliometer, obtained 0.032
of a second of arc. Schlesinger, from photographs taken with the
30-inch Allegheny refractor, derived 0.016. Adams, by his spectroscopic
method applied with the 60-inch Mount Wilson reflector, obtained
0.012. Lee's recent value, secured photographically with the 40-inch
Yerkes refractor, is 0.022. The heliometer parallax is doubtless
less reliable than the photographic ones, and Doctor Adams states
that the spectral type and luminosity of Betelgeuse make his value
less certain than in the case of most other stars. If we take a
(weighted) mean value of 0.020 of a second, we shall probably not
be far from the truth. This parallax represents the angle subtended
by the radius of the earth's orbit (93,000,000 miles) at the distance
of Betelgeuse. By comparing it with 0.047, the angular diameter of
the star, we see that the linear diameter is about two and one-third
times as great as the distance from the earth to the sun, or
approximately 215,000,000 miles. Thus, if this measure of its distance
is not considerably in error, Betelgeuse would nearly fill the
orbit of Mars. All methods of determining the distances of the
stars are subject to uncertainty, however, and subsequent measures
may reduce this figure very appreciably. But there can be no doubt
that the diameter of Betelgeuse exceeds 100,000,000 miles, and
it is probably much greater.
The extremely small angle subtended by this enormous disk is explained
by the great distance of the star, which is about 160 light-years.
That is to say, light travelling at the rate of 186,000 miles per
second spends 160 years in crossing the space that lies between
us and Betelgeuse, whose tremendous proportions therefore seem
so minute even in the most powerful telescopes.
STELLAR EVOLUTION
Public-domain text, read in full here on John Shaqi.
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