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4.7: Other Integrals

Last updated

Mar 5, 2022
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- 4.6: Radiation Pressure
- 4.8: Emission Coefficient

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Other integrals occurring in the theory of stellar atmospheres are (using the abbreviated notation)

$H = \frac{1}{4\pi} \int I \cos \theta d \omega = F/ (4\pi) \label{4.7.1}$

$= 0 \text{ if isotropic} \label{4.7.2}$

$K = \frac{1}{4\pi} \int I \cos^2 \theta d \omega = cP/(4\pi) \label{4.7.3}$

$= J/3 \text{ if isotropic}. \label{4.7.4}$

The SI units for $F$ are $\text{W m}^{-2}$ . For $I$ , $J$ , $H$ , $K$ they are $\text{W m}^{−2} \ \text{sr}^{−1}$ . For $P$ they are $\text{Pa}$ .

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