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Reentry Air Data System for a Sub-orbital Spacecraft Based on X-34 ...

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2007 USU Industry Day<br />

χ 2 (Chi-squared) Test<br />

• The Chi-squared value is given by<br />

χ 2<br />

δ p =<br />

n−1<br />

∑<br />

i − 0<br />

And represents the<br />

probability the system has<br />

failed<br />

~> 1-Probability(χ 2 ) yields<br />

the probability the system is<br />

healthy<br />

For redundant systems, the<br />

system with better χ2 value is<br />

used.<br />

( )<br />

pi − qc 2 cos 2θ i + ε sin 2 { ⎡⎣<br />

θi ⎤⎦ + p } ∞<br />

2<br />

σ 2<br />

δ p<br />

24

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