From Anderson, for inviscid flows,
![{\displaystyle C_{n}={\frac {1}{c}}\left[\int _{0}^{c}(C_{p,l}-C_{p,u})dx\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/586f106d169e883aae03d0d5c8321056ffefc07b)
![{\displaystyle C_{a}={\frac {1}{c}}\left[\int _{0}^{c}\left(C_{p,u}{\dfrac {dy_{u}}{dx}}-C_{p,l}{\dfrac {dy_{l}}{dx}}\right)dx\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7389c922d5934a3fd99355caa3299e599262fd44)
![{\displaystyle C_{m}={\frac {1}{c^{2}}}\left[\int _{0}^{c}(C_{p,u}-C_{p,l})xdx+\int _{0}^{c}\left(C_{p,u}{\dfrac {dy_{u}}{dx}}\right)y_{u}dx+\int _{0}^{c}-C_{p,l}{\dfrac {dy_{l}}{dx}}y_{l}dx\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/144601dfa85666b4147451ea56b94e5e72668b7b)
![{\displaystyle C_{L}=c_{n}\cos \alpha -c_{a}\sin \alpha }](https://wikimedia.org/api/rest_v1/media/math/render/svg/4833390d3fd1557a551f516d67e92ed12ff3c4c8)
![{\displaystyle C_{D}=c_{n}\sin \alpha +c_{a}\cos \alpha }](https://wikimedia.org/api/rest_v1/media/math/render/svg/d02dcedd9c4647f5d5659f7359933a60ce70f394)
![{\displaystyle x_{C_{p}}={\dfrac {-M_{LE}}{L}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4a20de7c35b3bf42e4d12dc5bfd663b39a7b8d0d)
![{\displaystyle C_{L_{landing}}={\frac {M_{L}\times g}{{\frac {1}{2}}\rho _{SL}V_{L}^{2}S}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1381d368be32715b775f181f155da6e9b99bf9eb)
![{\displaystyle V_{TO}={\sqrt {\frac {M_{TO}\times g}{{\frac {1}{2}}\rho _{SL}SC_{L_{TO}}}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b836f3eef1af786df22e9e9fbcdfb1b8f863b41e)
![{\displaystyle acc={\frac {V_{TO}^{2}}{2\times d_{TO}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/133f81a28c36dc34b72777e60beedbe14ccaa628)
![{\displaystyle Th_{TO}=m_{TO}\times acc}](https://wikimedia.org/api/rest_v1/media/math/render/svg/111eed92b802b15ffbaa0df22f5778aa97321d8a)
Full Potential Equation
- <math>
\left [ \left ( \frac{\partial \phi}{\partial x} \right ) ^2 - a^2 \right] \frac{\partial ^2 \phi}{\partial x^2} + \left [ \left ( \frac{\partial \phi}{\partial y} \right ) ^2 - a^2 \right] \frac{\partial ^2 \phi}{\partial y^2} + \left [ \left ( \frac{\partial \phi}{\partial z} \right ) ^2 - a^2 \right] \frac{\partial ^2 \phi}{\partial z^2} + 2\frac{\partial \phi}{\partial x}\frac{\partial \phi}{\partial y} \frac{\partial ^2 \phi}{\partial x \partial y} + 2\frac{\partial \phi}{\partial x}\frac{\partial \phi}{\partial z} \frac{\partial ^2 \phi}{\partial x \partial z} + 2\frac{\partial \phi}{\partial y}\frac{\partial \phi}{\partial z} \frac{\partial ^2 \phi}{\partial y \partial z}=0