Page 132 - Aeronautical Engineer Data Book

108 Aeronautical Engineer’s Data Book
O

x b
x w
y b,.y w
V 0

z b
z w
Conventional body axis system.
Ox b is parallel to the ‘fuselage horizontal’ datum
Oz b is ‘vertically downwards’
Conventional wind (or‘stability’) axis
system: Ox w is parallel to the velocity vector Vo
Fig. 7.3 Aircraft body axes

Roll L,p,φ
Pitch
M,q,θ
X,U e,U,u
Y,V e,V,v
Yaw N,r, ψ

Z,W e,W,w
Fig. 7.4 Motion variables: common notation

angular velocity and attitude. Figure 7.4 and
Table 7.1 show the common notation used.

7.2.5 Axes transformation
It is possible to connect between axes refer-
, y , z are wind axes and
ences: e.g. if Ox 0 0 0
components in body axes and , , are the
angles with respect to each other in roll, pitch
and yaw, it can be shown that for linear quanti-
ties in matrix format:
�� ��
Ox 3
Ox 0
Oy 3
= D Oy 0
Oz 3 Oz 0