# 恆星結構

## 恆星結構方程式

${\mbox{d} P \over \mbox{d} r} = - { G m \rho \over r^2 }$,

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

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

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

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

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

## 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