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┃ ┃ ┃ . ┃
┃ ┃ ┃-, -' : : . ┃
┃ -. ┃/- .. . ,--- ┃ ┃
┃ . ┃ ┃ ┃
┗━━━━━━━━━━━━━━━━━━━━━━━┻━━━━━━━┻━━━━━━━━━━━━━━━━━━┛
Fig.4.13 Euler angles (Sl = 30 deg/s, a = 45 deg).
Therefore, we can determine up to three missing elements at a time, We have
Cll - 0.8999 C12 - -0.4323 C13 - 0.0578
C21-.XX C22 = 0.8665 C23 - -0.2496
C31 -XX C32 -.XX C33 -0.9666
Using Eq. (4.127),
l C17.CI3 + C22C
C32 -.- - zC ]
~33
=-[ 04323-. )*00578+0.8665*(-0.:
0.9666 0 2496 ]
- 0.2496
Substituting in Eqs. (4.125) and (4.126), we get
0.8999 * (-0.4323) + 0.8665C21 + 0.2496C31 - 0
0.8999 * 0.0578 + (-0.2496)Czi + 0.9666C31 -. o
Solving, we get, C21 - 0.4323 and C31 - 0.0578. Now to verif)r our calcu-
lations, we have to check whether the remaining three redundancy relations in
EQUATIONS OF MOTION AND ESTIMATION OF STABILITY DERIVATIVES 359
o)
a
o
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