Our first evidence of the extent of the time-scale of stellar evolution
was afforded by the steadiness of condition of δ Cephei. This was
supplemented by evidence of the great extension of geological time on
the earth. We could not do more than set an upper limit to the rate of
progress of evolution and a lower limit to the age of the stars. But
this limit was sufficient to rule out the contraction hypothesis and
drive us to consider the store of subatomic energy.
We now make a new attack, which depends on the belief that _the rate
of evolution is determined by the rate at which a star can get rid of
its mass_. We are here considering only the evolution of faint stars
from bright stars, and there will remain scope for a certain amount of
development in the giant stage to which our arguments will not directly
apply. But to abandon all lines of evolution between bright stars and
faint stars would mean admitting that one star differs from another
star in brightness because it was different originally. This _may_
be true; but we ought not to surrender the main field of stellar
evolution without making a fight for it.
By the new line of attack we reach a definite determination of the
time-scale and not merely a lower limit. We know the rate at which
stars in each stage are losing mass by radiation; therefore we can find
the time taken to lose a given mass and thereby pass on to a stage of
smaller mass. Evolution from Algol to the Sun requires five billion
years; evolution from the Sun to Krueger 60 requires 500 billion years.
It is interesting to note that stars in the stage between the Sun and
Krueger 60 are much more abundant than those between Algol and the
Sun--a fact somewhat confirmatory of the calculated duration of the
two stages. The abundance of faint stars does not, however, increase so
rapidly as the calculated duration; perhaps the stellar universe has
not existed long enough for the old stars to be fully represented.
A star of greater mass than Algol squanders its mass very rapidly, so
that we do not increase the age of the Sun appreciably by supposing it
to have started with greater mass than Algol. The upper limit to the
present age of the Sun is 5·2 billion years however great its initial
mass.
Public-domain text, read in full here on John Shaqi.
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