VbvAstE-001
Book Boris V. Vasiliev Astrophysics
Book Boris V. Vasiliev
Astrophysics
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The plasma inside the core has the constant density<br />
and constant temperature<br />
n ⋆ = 16 Z 3<br />
≈ 1.2 · 10 24 Z 3 cm −3 (6.27)<br />
9π a 3 B<br />
( ) 1/3 ( )<br />
25 · 13 c<br />
T ⋆ =<br />
Z ≈ Z · 2.13 · 10 7 K. (6.28)<br />
28π 4 ka B<br />
The plasma density and its temperature are decreasing at an approaching to the<br />
stellar surface:<br />
( ) 6 R⋆<br />
n e(r) = n ⋆ (6.29)<br />
r<br />
and<br />
( ) 4 R⋆<br />
T r = T ⋆ . (6.30)<br />
r<br />
The external radius of the star is determined as<br />
( √απ )<br />
A 1/2<br />
Z<br />
R 0 =<br />
mp<br />
6.44 · 1011<br />
R ⋆ ≈ cm (6.31)<br />
2η m e Z(A/Z)<br />
1/2<br />
and the temperature on the stellar surface is equal to<br />
( ) 4 R⋆<br />
T 0 = T ⋆ ≈ 4.92 · 10 5 Z<br />
(6.32)<br />
R 0 (A/Z) 2<br />
53