User:!jim/weight

So we want to know influence of AR on L/D

$$ \frac{L}{D}_{max}=\sqrt{\frac{1}{K C_{D_0}}} $$

$$ K=\frac{1}{\pi AR\, e'} $$

$$ e'=e'(AR, u, s, C_{D_0}) $$

u and s functions of geometry.

$$ V_{max}^2=\frac{\frac{T_{A_{max}}}{W} \frac{W}{S}+ \frac{W}{S} \sqrt{\left(\frac{T_{A_{max}}}{W}\right)^2-4 C_{D_0}K}}{\rho_\infty C_{D_0}} $$

$$\frac{W_{fuel}}{W_{0}}^*=\frac{W_{takeoff-fuel}}{W_0}\frac{W_{climb-fuel}}{W_{takeoff-fuel}} \frac{W_{cruise-fuel}}{W_{climb-fuel}} \frac{W_{loiter-fuel}}{W_{cruise-fuel}} \frac{W_{land-fuel}}{W_{loiter-fuel}}$$