/Sandbox

4.2.1 Airspeed pointer

${\displaystyle V_{i}=C_{s0}{\sqrt {{\frac {2}{\gamma -1}}\left[\left(1+{\frac {q_{c}}{P_{0}}}\right)^{\frac {\gamma -1}{\gamma }}-1\right]}}}$ ias_pointer.png

4.2.2 Maximun allowable airspeed pointer

At levels below that where Vmo = Mmo

${\displaystyle V_{max}=C_{s0}{\sqrt {{\frac {2}{\gamma -1}}\left[\left(1+{\frac {P}{P_{0}}}\left[\left({\frac {V_{EM}^{2}}{5C_{s0}\,\sigma }}+1\right)^{\frac {\gamma }{\gamma -1}}-1\right]\right)^{\frac {\gamma -1}{\gamma }}-1\right]}}}$ Vmax_EAS.png

At levels above that where Vmo = Mmo

${\displaystyle V_{max}=C_{s0}{\sqrt {{\frac {2}{\gamma -1}}\left[\left({\frac {P}{P_{0}}}\left[\left(1+{\frac {(\gamma -1)M_{m}^{2}}{2}}\right)^{\frac {\gamma }{\gamma -1}}-1\right]+1\right)^{\frac {\gamma -1}{\gamma }}-1\right]}}}$ Vmax_mach.png

${\displaystyle M={\sqrt {5\left[\left({\frac {q_{c}}{P_{s}}}+1\right)^{\frac {2}{7}}-1\right]}}}$ m_fm_qc_&_ps