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If "c" is the mean sound speed, so that c2 represents
a mean gas temperature T, then:
- GM/(c2R)
~ 1 gives
the equilibrium radius of a spherical star of mass M.
- GM/(c2R) represents the ratio of |Egrav|
to Ethermal in a protostellar gas cloud.
-
GM/(c2R)
~ 1 gives
the Jeans mass of a spherically symmetric protostellar gas cloud.
If, upon contraction, M is constant and P ~
rg
, then
T ~
c2 ~ rg - 1 ,
R ~ r- 1/3 ,
hence,
|Egrav|/Ethermal ~
r4/3 - g .
Note the significance of the exponent value g = 4/3
and, hence, the slope dlnT/dlnr = 1/3.
Go to r-T Plot
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