Eddington Limit

質量から求まる
それ以上に明るくなると輻射圧で星の大気が飛ばされてしまう
恒常的に限界より明るいケースは難しいがトランジェントなら問題ない

( $\Sigma_{T}$ / $c$ )( $L_{edd}$ / 4$\pi{}r^{2}$ ) = $GMm_{H}$ / $r^{2}$

  • $\Sigma_{T}$ = トムソン断面積 = 6.65e-25
  • $m_{H}$ = 水素の質量
  • $c$ = 光速

$L_{edd}$ = 4$\pi{}cGM$ / $k_{T}$

  • $k_{T}$ = トムソン散乱によるOpacity不透明度 = 0.4 cm^2/g

$L_{edd}$ = ( 4$\pi{}c^{3}$ / $k_{T}$ )( $GM_{\odot}$ $/$ $c^2$ )( $M$ $/$ $M_{\odot}$ ) = 1.3 $\times$ 10$^{38}$ ( $M$ $/$ $M_{\odot}$ ) [erg/s]

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  • Last modified: 2022/12/16 06:18
  • by Daiphys