To track down the actual source of the sun’s energy with any hope of
success, we must give up guessing, and approach the problem from a
new angle. We have seen (p. 120) how radiation carries weight about
with it, so that any body which is emitting radiation is necessarily
losing weight; the radiation emitted by a searchlight of 50 horse-power
would, we saw, carry away weight at the rate of about a twentieth of
an ounce a century. Now each square inch of the sun’s surface is in
effect a searchlight of just about 50 horse-power, whence we conclude
that weight is streaming away from every square inch of the sun’s
surface at the rate of about a twentieth of an ounce a century. Such a
loss of weight seems small enough, until we multiply it by the total
number of square inches which constitute the whole surface of the sun.
It then appears that the sun as a whole is losing weight at the rate
of rather over 4 million tons a second, or about 250 million tons a
minute—something like 650 times the rate at which water is streaming
over Niagara.
THE PAST HISTORIES OF THE SUN AND STARS. Let us carry on the
multiplication. Two hundred and fifty million tons a minute is 360,000
million tons a day. Thus the sun must have weighed 360,000 million tons
more than now at this time yesterday, and will weigh 360,000 million
tons less at this time to-morrow. And 360,000 million tons a day is 131
million million tons a year. We can dig as far into the past as we like
in this way and can probe as far as we like into the future. But soon
we encounter the usual trouble which besets all calculations of this
kind—the sand does not always run through the hour-glass at the same
rate. The rate at which the sun loses weight will not vary appreciably
between to-day and to-morrow, or even over a century or a million
years, but we must be on our guard against going too far. If the sun
continued to radiate at precisely its present rate, a simple sum in
division shews that it would last for just about 15 million million
years, by which time its last ounce of weight would be disappearing.
Incidentally this gives us a vivid conception of the enormous weight of
the sun; it could go on pouring away its substance into space at 650
times the rate at which water is pouring over Niagara for 15 million
million years before becoming exhausted.
Public-domain text, read in full here on John Shaqi.
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