Schwarzschild equation (source code)

= Schwarzschild equation
{c}
{title2=$\frac{dI_\lambda}{ds}=\alpha_\lambda(B_\lambda-I_\lambda)$}

The absorption-and-emission transfer equation without scattering, often expressed along a ray as $dI_\lambda/ds=-\alpha_\lambda I_\lambda+\alpha_\lambda B_\lambda(T)$ in local thermal equilibrium. Its formal solution weights thermal emission by intervening transmission.