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

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Chapter 3 / Sensors / Seeker<br />

_ _<br />

S<br />

t<br />

S<br />

A<br />

3.9-16<br />

A<br />

TV<br />

l : = T ⋅ T ⋅<br />

ω<br />

S<br />

S, TV<br />

SK<br />

k<br />

( ) T<br />

XTV<br />

l 0 0<br />

⎛ T T<br />

S P&<br />

t P ⎞<br />

t<br />

: T ⎜ × &<br />

=<br />

⎟<br />

TV ⋅<br />

− ω<br />

⎜ 2<br />

P&<br />

⎟<br />

⎝ o,<br />

t ⎠<br />

RCS<br />

: =<br />

1.<br />

128<br />

t<br />

⋅<br />

SK<br />

SK<br />

f<br />

ω<br />

R<br />

G<br />

S<br />

A, S<br />

Equation 3.9-36<br />

Equation 3.9-37<br />

Equation 3.9-38<br />

The normalised RCS of the target when viewed along the target LOS is,<br />

T<br />

( S , S ) : = k ⋅ ϕ ( N ( 0 , 1 ) , 0.<br />

5 ⋅ ω )<br />

SK<br />

X<br />

SK<br />

Y<br />

SK<br />

σ<br />

RCS<br />

SK<br />

RCS<br />

SK<br />

D1L<br />

2<br />

X<br />

: = S +<br />

SK<br />

S<br />

2<br />

Y<br />

SK<br />

G<br />

Equation 3.9-39<br />

Equation 3.9-40<br />

The glint error measured in target size in the plane normal to the target line<br />

of sight substituting for the seeker beam centre,<br />

2 ⋅<br />

SK<br />

k<br />

W<br />

⋅ l<br />

rS<br />

t<br />

⋅<br />

SK<br />

k<br />

SK<br />

RCS<br />

ξ<br />

G<br />

⎛<br />

⋅<br />

⎜<br />

⎝<br />

The angular glint errors,<br />

( Ψ , Θ )<br />

SK<br />

G<br />

SK<br />

G<br />

: =<br />

( S , S )<br />

SK<br />

: =<br />

⎛<br />

⎜<br />

⎜<br />

⎝<br />

SK<br />

s<br />

ω<br />

G<br />

SK<br />

tan<br />

W<br />

SK<br />

Z<br />

: =<br />

⎞ ⎛ ⎛ ω ⎞ ω<br />

⎟ ⋅ ⎜ ϕ ⎜ N<br />

D1L<br />

⎠ ⎝ ⎝<br />

S<br />

X<br />

−1<br />

⋅<br />

SK<br />

S<br />

W<br />

SK<br />

+<br />

σ<br />

⎛<br />

⎜ SK ξG<br />

⋅ l<br />

⎜ XS<br />

⎝ Pm,<br />

t<br />

SK<br />

RCS<br />

YS<br />

t<br />

SK G SK G<br />

( 0 , 1 ) , ⎟ , ⎟<br />

2 ⎠ 2 ⎠<br />

S<br />

⎞<br />

⎟<br />

⎠<br />

Y<br />

,<br />

⋅<br />

SK<br />

S<br />

tan<br />

Z<br />

−1<br />

⎞<br />

Equation 3.9-41<br />

Equation 3.9-42<br />

⎛<br />

⎜ SK ξG<br />

⋅ l<br />

⎜ XS<br />

⎝ Pm,<br />

t<br />

ZS<br />

t<br />

⎞ ⎞<br />

⎟ ⎟<br />

⎟ ⎟<br />

⎠ ⎠<br />

Equation 3.9-43

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