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Flight Dynamics Principles, 2nd Edition
book

Flight Dynamics Principles, 2nd Edition

by Michael V. Cook
February 2011
Beginner to intermediate content levelBeginner to intermediate
488 pages
17h 21m
English
Butterworth-Heinemann
Content preview from Flight Dynamics Principles, 2nd Edition
Ch06-H6927.tex 20/6/2007 16: 34 Page 144
144 Flight Dynamics Principles
6.1.1 The characteristic equation
The longitudinal characteristic polynomial for a classical aeroplane is fourth order; it
determines the common denominator in the longitudinal response transfer functions
and, when equated to zero, defines the characteristic equation which may be written:
As
4
+Bs
3
+Cs
2
+Ds +E = 0 (6.11)
The characteristic equation (6.11)most commonly factorises into two pairs of complex
roots which are most conveniently written:
(s
2
+2ζ
p
ω
p
s +ω
2
p
)(s
2
+2ζ
s
ω
s
s +ω
2
s
) = 0 (6.12)
As already explained, the second order characteristics in equation (6.12) describe the
phugoid and ...
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Publisher Resources

ISBN: 9780750669276