guidance, flight mechanics and trajectory optimization
guidance, flight mechanics and trajectory optimization
guidance, flight mechanics and trajectory optimization
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where<br />
Since<br />
0 <strong>and</strong><br />
Eq. 4.23 shows that (when b # 0 )<br />
<strong>and</strong> hence that<br />
z&p= jf<br />
The sign ambiguity resulting from the square root is resolved by requiring<br />
that second derivative be negative. Thus, it is seen that only the positive<br />
sign is required. The quadrant in which ,& lies ( 04,8 -'27 ) is thus<br />
determined by the signs of A <strong>and</strong> B.<br />
Hence<br />
where<br />
In a similar manner, Eq. 4.23a now yields<br />
64<br />
4.23<br />
4.24<br />
4.25<br />
4.26