The pressures on the airfoil surface can also be calculated using oblique shocks and P-M expansions.

Note: at the trailing edge, there are a few conditions to be met.
This is the most exact way of calculating
forces and moments. It is also the most tedious, but it is necessary
for angles > 5° .
Second order theory (Busemann's theory)
If we retain terms of the order of
in our expression for
,
This gives better results for
,
,
than the linearized theory, but worse results for
.