By mathematical methods it is possible to work out how fast the
pressure increases as we go down into the sun, and how fast the
temperature must increase to withstand the pressure. The architect can
work out the stresses inside the piers of his building; he does not
need to bore holes in them. Likewise the astronomer can work out the
stress or pressure at points inside the sun without boring a hole.
Perhaps it is more surprising that the temperature can be found by pure
calculation. It is natural that you should feel rather sceptical about
our claim that we know how hot it is in the very middle of a star--and
you may be still more sceptical when I divulge the actual figures!
Therefore I had better describe the method as far as I can. I shall not
attempt to go into detail, but I hope to show you that there is a clue
which might be followed up by appropriate mathematical methods.
I must premise that the heat of a gas is chiefly the energy of motion
of its particles hastening in all directions and tending to scatter
apart. It is this which gives a gas its elasticity or expansive
force; the elasticity of a gas is well known to every one through its
practical application in a pneumatic tyre. Now imagine yourself at
some point deep down in the star where you can look upwards towards
the surface or downwards towards the centre. Wherever you are, a
certain condition of balance must be reached; on the one hand there
is the weight of all the layers above you pressing downwards and
trying to squeeze closer the gas beneath; on the other hand there is
the elasticity of the gas below you trying to expand and force the
superincumbent layers outwards. Since neither one thing nor the other
happens and the star remains practically unchanged for hundreds of
years, we must infer that the two tendencies just balance. At each
point the elasticity of the gas must be just enough to balance the
weight of the layers above; and since it is the heat which furnishes
the elasticity, this requirement settles how much heat the gas must
have. And so we find the degree of heat or temperature at each point.
Public-domain text, read in full here on John Shaqi.
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