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Phase II Final Report - NASA's Institute for Advanced Concepts

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Chapter 3.0 Vehicle Design<br />

3.3 Wing Aerodynamics<br />

Clθc() φ := 2 ⋅ π ⋅<br />

⎡<br />

⎢<br />

⎣<br />

Fα() φ − k() φ ⋅ Gα φ<br />

()<br />

−<br />

⎛<br />

⎜<br />

⎝<br />

k()<br />

φ<br />

2<br />

⎞<br />

⎠<br />

2<br />

⎤ ⎥⎦<br />

Clθs φ<br />

Clhc φ<br />

() := −2<br />

():=<br />

−2<br />

⋅ π⋅<br />

⋅ π⋅<br />

⎛<br />

⎜<br />

⎝<br />

Gα() φ + k() φ ⋅ Fα φ<br />

( ())<br />

k() φ + 2⋅<br />

Gh φ<br />

()<br />

+<br />

k()<br />

φ<br />

2<br />

⎞<br />

⎠<br />

Clhs φ<br />

() := −2<br />

⋅ π⋅<br />

2<br />

⋅<br />

Fh()<br />

φ<br />

Cmθc () φ<br />

:=<br />

3<br />

16 ⋅ π<br />

⋅<br />

k()<br />

φ<br />

Cmθs () φ<br />

:=<br />

π<br />

2<br />

Cmh() φ := k φ<br />

()<br />

⋅<br />

π<br />

2<br />

Cpθθ0()<br />

φ<br />

:=<br />

1<br />

2 ⋅ π<br />

⋅<br />

k () φ 2<br />

Cpθθc()<br />

φ<br />

:=<br />

−1<br />

2<br />

⋅ π ⋅<br />

k() φ<br />

2<br />

Cpθθs()<br />

φ<br />

:=<br />

3<br />

16 ⋅ π<br />

⋅<br />

k () φ<br />

3<br />

Cpθh0() φ := 2 ⋅ π ⋅<br />

( −Fα()<br />

φ + k() φ ⋅ Gα()<br />

φ) 2 + Gαφ () + k() φ ⋅ Fα φ<br />

⎡<br />

⎢<br />

⎣<br />

⎛<br />

⎜<br />

⎝<br />

()<br />

+<br />

1<br />

2<br />

2<br />

⎞ ⎤ ⎥⎦<br />

⎠<br />

137

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