... factor

The second Eddington factor is actually defined as the ratio $\left.(H/J)\right\vert _{r=r_{\rm max}}$ at the outer boundary of the atmosphere.

.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.

... condition

In the equation for the temperature at the inner boundary point (Eq. (32)) accordingly the expression $H^{0}_{\rm new}(\nu )$ has to be used for  $H^{0}_{\nu}$.

.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.