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

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Chapter 9 / Performance<br />

_ _<br />

XM ( > L ) ∧ ( P&<br />

< V ) ⇒ LAUNCH : = 2<br />

Pm T<br />

o,<br />

m S<br />

9-5<br />

Equation 9.1-3<br />

For BTT the fins are unlocked for roll control as the missile clears the tube<br />

however, pitch plane manoeuvring is delayed until aerodynamic control is<br />

established.<br />

9.1.4 Flight Phase 3<br />

Although the missile has reached a stable speed, controlled lateral motion is<br />

prevented until the fins are unlocked as part of a safe launch and arming<br />

sequence.<br />

9.1.5 Flight Phase 4<br />

( < t + t ) ∧ ( P&<br />

≥ V ) ⇒ LAUNCH : = 3<br />

t L F<br />

o,<br />

m S<br />

Equation 9.1-4<br />

The missile manoeuvres in response to lateral acceleration demands whilst<br />

boosting.<br />

( < t + t ) ∧ ( t > t ) ∧ ( P&<br />

≥ V ) ⇒ LAUNCH : = 4<br />

9.1.6 Flight Phase 5<br />

t L B<br />

B F<br />

o,<br />

m S<br />

Equation 9.1-5<br />

Boosting is complete and coasting mid-course guidance is established.<br />

9.1.7 Flight Phase 6<br />

t ≥ t L + t B ⇒ LAUNCH<br />

: =<br />

5<br />

Equation 9.1-6<br />

Seeker activation (tTG) seconds after launch resulting in target acquisition. In<br />

conventional engagements this would indicate a transition from mid-course<br />

to terminal guidance.<br />

9.2 Performance Metrics<br />

t ≥ tTG<br />

⇒ LAUNCH : =<br />

6<br />

Equation 9.1-7<br />

The performance metrics used are miss distance, impact speed, impact time,<br />

and control effort, denoted by PIM, PIS, PIT and PIE respectively. The first<br />

three are self-explanatory. The effort metric is dependent on the demanded<br />

missile lateral acceleration that is closely linked to the energy expended,

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