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\begin{document}
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{\newpage
\clearpage
\samepage \( mg=C_{l}\rho \frac{v^{2}}{2}A_{wing} \)
}

{\newpage
\clearpage
\samepage \( C_{L}=2\pi \alpha  \)
}

{\newpage
\clearpage
\samepage \( \alpha \sim 6 \)
}

{\newpage
\clearpage
\samepage \( \frac{C_{L}}{2}\sim .3 \)
}

{\newpage
\clearpage
\samepage \( \frac{mg}{A}=.3\rho v^{2} \)
}

{\newpage
\clearpage
\samepage \( v=5m/s*(\frac{\frac{m}{A}}{kg/m^{2}})^{\frac{1}{2}}(\frac{\rho _{sealevel}}{\rho })^{\frac{1}{2}} \)
}

{\newpage
\clearpage
\samepage \( m/A=600kg/m^{2} \)
}

{\newpage
\clearpage
\samepage \( 120m/s*2(densityratio) \)
}

{\newpage
\clearpage
\samepage \( A\sim L^{2} \)
}

{\newpage
\clearpage
\samepage \( m\sim L^{3} \)
}

{\newpage
\clearpage
\samepage \( v\propto m^{\frac{1}{6}} \)
}

{\newpage
\clearpage
\samepage \( P_{I} \)
}

{\newpage
\clearpage
\samepage \( P_{p} \)
}

{\newpage
\clearpage
\samepage \( lift/area=\frac{mg}{Ll} \)
}

{\newpage
\clearpage
\samepage \( L^{2}\rho v \)
}

{\newpage
\clearpage
\samepage \( P_{I}\sim \frac{1}{2}v_{z}^{2}(L^{2}\rho v)\propto \frac{1}{v} \)
}

{\newpage
\clearpage
\samepage \( P_{p}=\frac{1}{2}C_{D}\rho v^{3}A \)
}

{\newpage
\clearpage
\samepage \( v^{4}_{min}=\frac{1}{3}\frac{(mg)^{2}}{\rho ^{2}L^{2}AC_{D}} \)
}

{\newpage
\clearpage
\samepage \( v^{4}_{min}=\frac{(mg)^{2}}{\rho ^{2}L^{2}AC_{D}} \)
}

{\newpage
\clearpage
\samepage \( mg(\frac{mg}{\rho L^{2}})^{\frac{1}{2}}(\frac{C_{D}A}{L^{2}})^{\frac{1}{4}}\sim mgv(\frac{l}{L})^{\frac{1}{2}} \)
}

{\newpage
\clearpage
\samepage \( E_{fuel}\frac{v}{P}=\frac{E_{fuel}}{mg}C_{D}^{\frac{-1}{2}}(\frac{A}{L^{2}})^{-\frac{1}{2}} \)
}

{\newpage
\clearpage
\samepage \( \frac{E_{fuel}}{m}=4*10^{11}erg*.2 \)
}

{\newpage
\clearpage
\samepage \( 10^{3}km*C_{D}^{-\frac{1}{2}}(\frac{A}{L^{2}})^{-\frac{1}{2}} \)
}


\end{document}
