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By and large, once a star is on the Main Sequence it stays on the
Main Sequence until it runs out of fuel (hydrogen--A star burns roughly
10 % of its mass while on the Main Sequence). However, a star does change a
little as it burns hydrogen into helium in its core. The reason a star evolves
while it is on the Main Sequence is quite easy to understand.
- For stars like the Sun, the internal pressure is generated through
ordinary gas
pressure. The pressure is determined by how fast the gas particles move
(as measured by the temperature of the gas, T) and by how many particles that
there are in the gas volume. Quantitatively, we have that
- Now, make the obvious observation that during the fusion process, the
number of particles in the core of a star gets smaller -- 4 hydrogen nuclei
are fused into 1 helium nucleus ===> if the temperature remains the same,
the pressure should go down.
- This, in fact, does occur and the core of the star reacts by shrinking
slowly which does 2 things:
- it increases the density of the core (increases N)
- it increases the temperature of the core (due to the compression)
Both of the above effects cause the nuclear reaction rates
to increase; the former by increasing the rate of collisions and the latter by
making each collision more energetic. The upshot of this type of evolution is
that the luminosity of a Main Sequence star will increase while it is on the
Main Sequence
This is a pretty substantial effect for the Sun.
Over the last 4.6 billion years, the luminosity of the Sun has increased by
30 %. In terms of the average temperature (equilibrium temperature) of the
Earth, if nothing else happened, the average temperature would have increased by
~ 10 % over the lifetime of the Earth.
Show that a temperature increase of ~ 10 % is expected if the Earth is in
thermal equilibrium (assume that the input of energy is due to the absorption of
solar radiation).
Interestingly enough, the Earth has not been heating. It, in fact, is fairly
certain that the Earth was warmer in the past than it is today. That is, when
the Sun was fainter the Earth was warmer. This is obviously saying that we
really do not understand how the climate of the Earth reacts to changes in the
amount of energy received from the Sun. |