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where
(6.268)
(6.269)
Np = Izl C,.8r S2 + (bi Cn8r C}.r - Cy8r Cnrbi - ITI.I Cn8r)S (6.270)
Alar.dr - IZI(mi - biC,.B)S3 - [C:.p/zi + Cn bi(mi - bi C,.B)
+ C"Bbi (mi - b] Cyr)]S2 + [Cyp Cnrbi + Cnp(mi - bi C:-r )JS
(6.271)
Nv, = [C,ibr(ITII - bi C:.p) + Cy8r CnBbi]s + (CYar Cnfl - Cr18r C)j3) (6.272)
Spira/ approximation. Taking the Laplace transform of Eqs. (6.224) and
(6.225) and using Cramer's rule, we obtain the following transfer functions for
aileron defiections:
Ap(s) = ApS2 + Bps
(6.273)
A8a~s~ = A8S2 + B8s
Al( (s) Ai,
- (6.274)
A a~s~ = A8S2 + B8s .
i
where
AB = Cl8alzl (6.275)
Bp = -b] (CM,Cnr + Cn8a Clr) (6.276)
A8 = Ctp Izi (6.277)
Bb = bi (Cnp Clr - Ctp Cn ) (6.278)
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PERFORMANCE, STABILITY, DYNAMICS, AND CONTROL3(130)