VbvAstR-001
Книга Бориса В. Васильева " Астрофизика "
Книга Бориса В. Васильева
" Астрофизика "
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ò.å.<br />
P 2 = 3GMr<br />
2πr ne ( A<br />
Z mp − me )<br />
(5.5)<br />
Çäåñü ψ - ïîòåíöèàë ãðàâèòàöèîííîãî ïîëÿ, n s = ne<br />
Z<br />
- ïëîòíîñòü ÿ÷ååê (ÿäåð), èç<br />
êîòîðûõ ñôîðìèðîâàíà ïëàçìà, n e - ïëîòíîñòü ýëåêòðîííîãî ãàçà, M r - ìàññà<br />
çâåçäû, çàêëþ÷àþùàÿñÿ âíóòðè ñôåðû ðàäèóñà r.<br />
5.3 Ðàâíîâåñèå â ïîäñèñòåìå ýëåêòðîííîãî<br />
ãàçà<br />
Íåîäíîðîäíàÿ ïîëÿðèçàöèÿ âåùåñòâà ìîæåò áûòü ïðåäñòàâëåíà ðàñïðåäåëåíèåì<br />
ýëåêòðè÷åñêèõ çàðÿäîâ, ïëîòíîñòü êîòîðûõ [13]<br />
˜ϱ = divEs<br />
4π<br />
= divP<br />
3 . (5.6)<br />
Ñóììàðíûé ýëåêòðè÷åñêèé çàðÿä âñåõ ÿ÷ååê ïëàçìû, ðàñïîëîæåííûõ âíóòðè<br />
çâåçäû â ñôåðå ðàäèóñà r,<br />
Q r = 4π<br />
∫ r<br />
0<br />
˜ϱr 2 dr (5.7)<br />
îïðåäåëÿåò íàïðÿæåííîñòü ýëåêòðè÷åñêîãî ïîëÿ, ïðèëîæåííîãî ê ÿ÷åéêå,<br />
ðàñïîëàãàþùåéñÿ íà ðàññòîÿíèè r îò öåíòðà çâåçäû<br />
Ẽ = Qr<br />
r 2 (5.8)<br />
Êàê ðåçóëüòàò, äåéñòâèå íåîäíîðîäíîé ïîëÿðèçàöèè ìîæåò áûòü îïèñàíî ñèëîé<br />
˜ϱẼ, êîòîðàÿ äîëæíà áûòü ó÷òåíà â óñëîâèè ðàâíîâåñèÿ, ïðèâîäÿ óðàâíåíèå<br />
Ýéëåðà ê âèäó:<br />
γg + ˜ϱẼ + ∇P = 0, (5.9)<br />
43
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