If our eyes were suddenly to become sensitive to all kinds of
radiation, and not to visual light alone, the appearance of the
sky would undergo a strange metamorphosis. The red stars Betelgeux
and Antares, which are at present only 12th and 16th in order of
brightness, would flash out as the two brightest stars in the sky,
while Sirius, at present the brightest of all, would sink to third
place. A star in the very undistinguished constellation of Hercules
would be seen as the sixth brightest star in the sky. It is the star
α Herculis, at present outshone by about 250 stars. As a consequence
of its extremely low temperature of 2650 degrees, this star emits its
radiation almost entirely in the form of invisible heat. For instance
it emits 60 times as much heat as the blue star η Aurigae, whose
temperature is about 20,000 degrees, but only four-fifths as much light.
Allowances for invisible radiation have been made in all the
calculations referred to in the present book, although it has not been
thought necessary continually to restate this.
STELLAR DIAMETERS. It is easy to measure the diameter of a planet,
because this appears in the telescope as a disc of finite size. But
the stars are too remote for their diameters to be measured in the
same way. No star appears larger in the sky than a pin-head held at a
distance of six miles, and no telescope yet built can shew an object of
this size as a disc. All stars, even the nearest and largest, appear as
mere points of light[24], so that their diameters can only be measured
by roundabout methods.
[24] The large round images of stars shewn in the frontispiece result
merely from over-exposure, and have nothing to do with the sizes of the
stars.
When a star’s distance is known, we can tell its luminosity from its
apparent brightness. From this, after allowing for invisible radiation,
we can deduce the star’s total outpouring of energy—so many million
million million million horse-power. We also know its outpouring
of energy per square inch of surface, because this depends only on
its surface-temperature which we deduce directly from spectroscopic
observation. Knowing these two data, it is a mere matter of simple
division to calculate the number of square inches which make up the
star’s surface, and this immediately tells us the diameter of the star.
Public-domain text, read in full here on John Shaqi.
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