Page 301 - Aeronautical Engineer Data Book

Appendix 1:
Aerodynamic stability and
control derivatives

Table A1.1 Longitudinal aerodynamic stability derivatives
Dimensionless Multiplier Dimensional
1 V 0 S ˚
X M 2 X u
1 V 0 S ˚
2
X w X w
=
1 Sc ˚
X w˚ 2 X ˚ w
1 V 0 Sc = ˚
2
X q X q
1 V 0 S ˚
Z M 2 Z u
1 V 0 S ˚
2
Z w Z w
=
Z ˚ w 1 2 Sc Z ˚ ˚ w
1 V 0 Sc = ˚
Z q Z q
2
1 V 0 Sc = ˚
M u 2 M u
=
1 V 0 Sc ˚
M w M w
2
= 2
M ˚ w 1 2 Sc M ˚ ˚ w
1 V 0 Sc = 2 ˚
M q M q
2
Table A1.2 Longitudinal control derivatives
Dimensionless Multiplier Dimensional
1 2 ˚
X V 0 S X
2
1 2 S ˚
Z V 0 Z
2
1 2 = ˚
M V 0 Sc M
2
1 ˚
X X
1 ˚
Z Z
= ˚
M c M