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Thesis - Leigh Moody.pdf - Bad Request - Cranfield University

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Appendix I / Utilities / Quaternions<br />

_ _<br />

n<br />

=<br />

3<br />

⇒<br />

∂ q<br />

B<br />

A<br />

B<br />

A<br />

∂ T<br />

( 3 )<br />

: =<br />

⎡ − q<br />

⎢<br />

⎢<br />

2 ⋅ ⎢ − q<br />

⎢<br />

⎢<br />

⎢<br />

⎣ q<br />

22.10-12<br />

B<br />

A<br />

B<br />

A<br />

B<br />

A<br />

B<br />

B<br />

( 3 ) q ( 0 ) q ( 1 )<br />

A<br />

B<br />

B<br />

( 0 ) − q ( 3 ) q ( 2 )<br />

( ) ( ) ( ) ⎥⎥⎥⎥⎥⎥<br />

B<br />

B<br />

1 q 2 q 3<br />

A<br />

A<br />

A<br />

A<br />

A<br />

Equation 22.10-70<br />

⎤<br />

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