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VbvAstE-001

Book Boris V. Vasiliev Astrophysics

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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

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