# User:!jim/weight

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

${\displaystyle {\frac {L}{D}}_{max}={\sqrt {\frac {1}{KC_{D_{0}}}}}}$

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

${\displaystyle e'=e'(AR,u,s,C_{D_{0}})}$

u and s functions of geometry.

${\displaystyle V_{max}^{2}={\frac {{\frac {T_{A_{max}}}{W}}{\frac {W}{S}}+{\frac {W}{S}}{\sqrt {\left({\frac {T_{A_{max}}}{W}}\right)^{2}-4C_{D_{0}}K}}}{\rho _{\infty }C_{D_{0}}}}}$

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