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VbvAstE-001

Book Boris V. Vasiliev Astrophysics

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Astrophysics

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11.1 The atomic substance<br />

11.1.1 Small bodies<br />

Small celestial bodies - asteroids and satellites of planets - are usually considered as<br />

bodies consisting from atomic matter.<br />

11.1.2 Giants<br />

The transformation of atomic matter into plasma can be induced by action of high<br />

pressure, high temperature or both these factors. If these factors inside a body are<br />

not high enough, atomic substance can transform into gas state. The characteristic<br />

property of this celestial body is absence of electric polarization inside it. If temperature<br />

of a body is below ionization temperature of atomic substance but higher than<br />

its evaporation temperature, the equilibrium equation comes to<br />

− dP<br />

dr = Gγ<br />

r 2 Mr ≈ P R ≈<br />

γ m p<br />

kT<br />

R . (11.1)<br />

Thus, the radius of the body<br />

R ≈ GMmp .<br />

kT<br />

(11.2)<br />

If its mass M ≈ 10 33 g and temperature at its center T ≈ 10 5 K, its radius is<br />

R ≈ 10 2 R ⊙. These proporties are characteristic for giants, where pressure at center<br />

is about P ≈ 10 10 din/cm 2 and it is not enough for substance ionization.<br />

11.2 Plasmas<br />

11.2.1 The non-relativistic non-degenerate plasma. Stars.<br />

Characteristic properties of hot stars consisting of non-relativistic non-degenerate<br />

plasma was considered above in detail. Its EOS is ideal gas equation.<br />

11.2.2 Non-relativistic degenerate plasma. Planets.<br />

At cores of large planets, pressures are large enough to transform their substance into<br />

plasma. As temperatures are not very high here, it can be supposed, that this plasma<br />

can degenerate:<br />

T

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