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Книга Бориса В. Васильева " Астрофизика "

Книга Бориса В. Васильева
" Астрофизика "

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Ãëàâà 7<br />

Ìàññà çâåçäû è òåìïåðàòóðà<br />

åå ÿäðà<br />

7.1 Òåîðåìà âèðèàëà è ýíåðãèÿ çâåçäû<br />

Òåîðåìà âèðèàëà [12, 21] ïðèìåíèìà ê ñèñòåìå ÷àñòèö, ñîâåðøàþùèõ ôèíèòíîå<br />

äâèæåíèå âíóòðè îáúåìà V . Åñëè ÷àñòèöû âçàèìîäåéñòâóþò ìåæäó ñîáîé ïî<br />

çàêîíó Êóëîíà, òî ïîòåíöèàëüíóþ ýíåðãèþ òàêîé ñèñòåìû E potential , åå<br />

êèíåòè÷åñêóþ ýíåðãèþ E kinetic ñ äàâëåíèåì P ñâÿçûâàåò ñîîòíîøåíèå:<br />

2E kinetic + E potential = 3P V. (7.1)<br />

Íà ïîâåðõíîñòè çâåçäû äàâëåíèå ðàâíî íóëþ, ïîýòîìó äëÿ òàêîé ñèñòåìû â<br />

öåëîì<br />

2E kinetic = −E potential , (7.2)<br />

è ïîëíàÿ ýíåðãèÿ ÷àñòèö ïëàçìû, ñîñòàâëÿþùèõ çâåçäó,<br />

E(plasma) = E kinetic + E potential = −E kinetic . (7.3)<br />

Ïðîâåäåì âû÷èñëåíèÿ îòäåëüíûõ ñëàãàåìûõ, ñîñòàâëÿþùèõ ïîëíóþ ýíåðãèþ<br />

çâåçäû.<br />

7.1.1 Êèíåòè÷åñêàÿ ýíåðãèÿ ïëàçìû<br />

Êèíåòè÷åñêàÿ ýíåðãèÿ ÿäðà<br />

E⋆ kinitic = 3 kT⋆N⋆. (7.4)<br />

2<br />

49

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