# 恆星結構

## 恆星結構方程式

${\displaystyle {{\mbox{d}}P \over {\mbox{d}}r}=-{Gm\rho \over r^{2}}}$ ,

${\displaystyle {{\mbox{d}}m \over {\mbox{d}}r}=4\pi r^{2}\rho .}$

${\displaystyle {{\mbox{d}}l \over {\mbox{d}}r}=4\pi r^{2}\rho (\epsilon -\epsilon _{\nu })}$ ,

${\displaystyle {{\mbox{d}}T \over {\mbox{d}}r}=-{1 \over k}{l \over 4\pi r^{2}},}$

${\displaystyle {{\mbox{d}}T \over {\mbox{d}}r}=-{3\kappa \rho l \over 64\pi r^{2}\sigma T^{3}},}$

${\displaystyle {{\mbox{d}}T \over {\mbox{d}}r}=\left(1-{1 \over \gamma }\right){T \over P}{{\mbox{d}}P \over {\mbox{d}}r},}$

## 參考資料

1. ^ Hansen，Kawaler & Trimble (2004，§5.1.1)
2. ^ Hansen，Kawaler & Trimble (2004，Tbl. 1.1)
3. ^ Hansen，Kawaler & Trimble (2004，§2.2.1)
4. ^ This discussion follows those of, e. g., Zeilik & Gregory (1998，§16-1–16-2) and Hansen，Kawaler & Trimble (2004，§7.1).
5. ^

### 一般參考資料

• Kippenhahn, R.; Weigert, A., Stellar Structure and Evolution, Springer-Verlag, 1990
• Hansen, Carl J.; Kawaler, Steven D.; Trimble, Virginia, Stellar Interiors 2nd, Springer, 2004, ISBN 0387200894
• Kennedy, Dallas C.; Bludman, Sidney A., Variational Principles for Stellar Structure, Astrophysical Journal, 1997, 484: 329, doi:10.1086/304333, arXiv:astro-ph/9610099
• Weiss, Achim; Hillebrandt, Wolfgang; Thomas, Hans-Christoph; Ritter, H., Cox and Giuli's Principles of Stellar Structure, Cambridge Scientific Publishers, 2004
• Zeilik, Michael A.; Gregory, Stephan A., Introductory Astronomy & Astrophysics 4th, Saunders College Publishing, 1998, ISBN 0030062284