Manned Spacecraft Design Principles

(A.63)

In the limit $M_1\to \infty$, with $M_1\sin \theta >0(1)$

$\underset{M_1\to \infty }{\lim }\frac{p_{t2}}{p_{t1}}={\epsilon }_{\lim }^{\frac{\gamma }{\gamma -1}}{\left(\frac{2\gamma }{\gamma +1}{M}_1^2{\sin }^2\theta \right)}^{\frac{-1}{\gamma -1}}$ (A.64)

(A.64)

$\frac{s_2-s_1}{R}=\ln {\left(\frac{2\gamma }{\gamma +1}{M}_1^2{\sin }^2\theta {({\epsilon }_{\lim })}^{\gamma }\right)}^{\frac{1}{\gamma -1}}$ (A.65)

(A.65)

The maximum entropy rise occurs for $\theta =90°$ (normal shock) and decreases as $\theta$ decreases for a ...