/Sandbox
4.2.1 Airspeed pointer
V i = C s 0 2 γ − 1 [ ( 1 + q c P 0 ) γ − 1 γ − 1 ] {\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
V m a x = C s 0 2 γ − 1 [ ( 1 + P P 0 [ ( V E M 2 5 C s 0 σ + 1 ) γ γ − 1 − 1 ] ) γ − 1 γ − 1 ] {\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
V m a x = C s 0 2 γ − 1 [ ( P P 0 [ ( 1 + ( γ − 1 ) M m 2 2 ) γ γ − 1 − 1 ] + 1 ) γ − 1 γ − 1 ] {\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
M = 5 [ ( q c P s + 1 ) 2 7 − 1 ] {\displaystyle M={\sqrt {5\left[\left({\frac {q_{c}}{P_{s}}}+1\right)^{\frac {2}{7}}-1\right]}}} m_fm_qc_&_ps
![{\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]}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a77a19970a7e0dc6eedba6ec1c4910785cca328f)
ias_pointer.png
![{\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]}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/abaac9598ce4b0e920f326d8d15a27aa0da3fc13)
Vmax_EAS.png
![{\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]}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/33251153e6f1b6bb1831201643d2f675de1e175c)
Vmax_mach.png
![{\displaystyle M={\sqrt {5\left[\left({\frac {q_{c}}{P_{s}}}+1\right)^{\frac {2}{7}}-1\right]}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6b31862aec5ef09f8d06c4412ef49b8f8f5a039e)
m_fm_qc_&_ps
