Planetary equilibrium temperature (source code)

= Planetary equilibrium temperature
{title2=$T_{\rm eq}$}

For a planet around a star of radius $R_*$ and temperature $T_*$, global blackbody reradiation gives
$$
T_{\rm eq}^4=T_{\rm int}^4
+(1-A_B)T_*^4\frac{R_*^2}{4a^2}.
$$
The denominator is $2a^2$ for uniform dayside-only reradiation, and a general heat-redistribution factor can interpolate between these assumptions.