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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

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