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

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Appendix D / Point Mass Dynamics _ _ P& & ZR a, b ϕ ϕ ZYZ YYZ − 2 ⋅ YR a, b R 2 ZR R R R R ( Ψ& ) + P ⋅ ( Ψ& & + 2⋅ Ψ& ⋅ Θ& ⋅ cos ) : = − P ⋅ Θ I 17-10 a, b I I I I Equation 17.5-14 YR R R XR R R R ( P& ⋅ Ψ& ⋅ sΘ + P& ⋅ Θ& ) + ϕ ( P ) + ϕ ( P ) ϕ a, b ZX I XR a, b I A a, b ZR a, b : = I ZX a, b R 2 R R XR R ( Ψ& ) ⋅sinΘ ⋅ cosΘ − P ⋅ & : = − P ⋅ Θ YR a, b R I R I I ZR a, b I I a, b ZYZ a, b Equation 17.5-15 I Equation 17.5-16 R 2 ZR R 2 2 R ( Θ& ) − P ⋅ ( Ψ& ) ⋅sin : = − P ⋅ Ψ& & ⋅sinΘ − P ⋅ Θ When point (b) lies on X R its acceleration with respect to point (a), YR a, b XR a, b XR a, b XR a, b I a, b ( ) ( ) 2 R 2 2 R XR R Ψ& ⋅ cos Θ + P ⋅ & A : = P& & − P ⋅ Θ I I a, b I Equation 17.5-17 I Equation 17.5-18 R XR XR R R XR R R R ( 2 ⋅ Ψ& ⋅ P& + P ⋅ Ψ& & ) ⋅ cosΘ − 2 ⋅P ⋅ Θ& ⋅ Ψ& ⋅ sin A : = Θ ZR a, b I XR a, b a, b R I a, b XR a, b I I a, b I I Equation 17.5-19 R 2 R R XR R ( Ψ& ) ⋅ sin Θ ⋅ cosΘ − P ⋅ & A : = − 2 ⋅ P& ⋅ Θ& − P ⋅ Θ 17.6 Inertial Rate of Change of Acceleration Vector Differentiating inertial acceleration gives inertial jerk of point (b) with respect to point (a) expressed in frame (R), I I I a, b R 2 R R R [ ω × ] + [ ω& × ] ⎞ ⎟ ⋅ P& + ϕ P R R R R Ja, b : = & P& & a, b + 3 ⋅ ωI, R × &P & a, b + 3 ⋅ ⎛ ⎜ I, R I, R a, b J ⋅ ⎝ ⎠ I I I a, b Equation 17.6-1 [ ] ( [ ] [ ] [ ] [ ] ) [ ] 3 R R R R R R ω& & × + 2 ⋅ ω × ⋅ ω& × + ω& × ⋅ ω × + ω × I, R I, R I, R ϕ J : = I, R I, R I, R Equation 17.6-2
Appendix D / Point Mass Dynamics _ _ Replacing the body rates with Euler rates with a zero Euler roll angle, ϕ R 2 2 R R 2 XR ( Ψ& I ) ⋅ cos ΘI + ( & I ) ⎟ ⎞ + 3⋅ Pa , b ⋅ JX XR XR XR Ja, b : = & P& & a, b − 3⋅ P& a, b ⋅ ⎜ ⎛ Θ ϕ ⎝ ⎠ JX 3 ⋅ &P & Ψ& & XR a, b R I R I 17-11 Equation 17.6-3 R R R R R R R R ( Ψ& & ⋅ cosΘ − Θ& ⋅ Ψ& ⋅ sin Θ ) ⋅ cosΘ + Θ& & ⋅ & : = − Ψ& ⋅ Θ ⋅ Ψ& − 3 ⋅ −3 ⋅ P& & XR a, b ϕJZΨ R I ⋅ cΘ R I I + 3⋅ P& XR a, b ⋅ I J YR a, b I : = I I I I Equation 17.6-4 R R R R R XR ( ΨI ⋅ cΘI − 2 ⋅ Θ& I ⋅ Ψ& I ⋅ sΘI ) + Pa , b ⋅ ϕJY Equation 17.6-5 R 2 R R 3 R R R R R R ( Θ& ) ⋅ Ψ& − ( Ψ& ) ⋅ cΘ + 3 ⋅ ( Ψ& & ⋅ Θ& + Ψ& ⋅ Θ& & ) ⋅ sΘ ⋅ Θ& I R I ϕJZΘ I − 3⋅ P& : = XR a, b R I ⋅ − & Θ& & I ϕ JY I : = : = I I I I Equation 17.6-6 ( Θ& & R + Ψ& R R R XR ⋅ sΘ ⋅ cΘ ) + P ⋅ ( ϕ + ϕ ) R I I + Θ& J R I ZR a, b I ⋅ I I a, b JZΘ 2 2 ( Ψ& R ) + ( & R ) ⎟ ⎞ I I ⎠ ⎜ ⎛ 3 ⋅ Θ ⎝ I JZΨ Equation 17.6-7 Equation 17.6-8 R R R R R R ( Ψ& & ⋅ sin Θ + Ψ& ⋅ Θ& ⋅ cosΘ ) ⋅ cos : = 3 ⋅ Ψ& ⋅ Θ I I I I I Equation 17.6-9 I I
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CRANFIELD UNIVERSITY LEIGH MOODY SE
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ABSTRACT When considering advances
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Contents _ _ LIST OF CONTENTS 1 INT
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Contents _ _ 8.2 The Scope of Moder
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Contents _ _ 17.4 Inertial Velocity
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Tables _ _ LIST OF TABLES Table 1-1
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Figures _ _ LIST OF FIGURES Figure
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Figures _ _ Figure 5-1 : Centralise
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Figures _ _ Figure 19-3 : Air Densi
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Acronyms _ _ Acronyms And Abbreviat
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Acronyms _ _ HDOP - NAVSTAR GPS Hor
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Acronyms _ _ RCS - Radar Cross Sect
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Glossary _ _ GLOSSARY A challenge w
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Glossary _ _ 0.1 Predicate Calculus
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Glossary _ _ ]A,B] Real number rang
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Glossary _ _ 0.9 Matrix Operators [
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Glossary _ _ 0.14.2 Special Vectors
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Glossary _ _ P C a , b ≡ XC YC ZC
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Glossary _ _ V ≡ V : = V • V Th
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Glossary _ _ 0.16.4 Matrix Partitio
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Glossary _ _ Only the subset of qua
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Glossary _ _ 0.19 Systeme Internati
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1 Chapter 1 / Introduction _ _ Chap
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Chapter 1 / Introduction _ _ Wherea
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Chapter 1 / Introduction _ _ • Cr
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Chapter 1 / Introduction _ _ genera
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Chapter 1 / Introduction _ _ radar
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Chapter 1 / Introduction _ _ simple
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Chapter 1 / Introduction _ _ optimi
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Chapter 1 / Introduction _ _ 1.3.9
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2 Chapter 2 / Target Modelling _ _
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Chapter 2 / Target Modelling _ _ 2.
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Chapter 2 / Target Modelling _ _
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Chapter 2 / Target Modelling _ _ t
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Chapter 2 / Target Modelling _ _ P&
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Chapter 2 / Target Modelling _ _ GO
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Chapter 2 / Target Modelling _ _ th
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Chapter 2 / Target Modelling _ _
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Chapter 2 / Target Modelling _ _ VX
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Chapter 2 / Target Modelling _ _ ma
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3 Chapter 3 / Sensors _ _ Chapter 3
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Chapter 3 / Sensors _ _ 3.1 Simulat
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Chapter 3 / Sensors _ _ Table 3-4 :
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Chapter 3 / Sensors _ _ Reference D
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Chapter 3 / Sensors _ _ 3.2-9 s s i
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Chapter 3 / Sensors _ _ 3.2-11 t o
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Chapter 3 / Sensors _ _ Figure 3-5
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Chapter 3 / Sensors _ _ Table 3-7 :
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Chapter 3 / Sensors _ _ IF ϕ LIM
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Chapter 3 / Sensors _ _ The phase e
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Chapter 3 / Sensors _ _ Taking expe
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Chapter 3 / Sensors _ _ Expressing
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Chapter 3 / Sensors _ _ INPUT; AA,
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Chapter 3 / Sensors _ _ The functio
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Chapter 3 / Inertial Navigation _ _
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Chapter 3 / Sensors / Gyroscopes _
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Chapter 3 / Sensors / Accelerometer
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Chapter 3 / Sensors / Barometric Al
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Chapter 3 / Sensors / Barometric Al
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Chapter 3 / Sensors / Radar Altimet
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Chapter 3 / Sensors / Radar _ _ 3.8
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Chapter 3 / Sensors / Radar _ _ LF
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Chapter 3 / Sensors / Radar _ _ ( )
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Chapter 3 / Sensors / Radar _ _ S :
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Chapter 3 / Sensors / Radar _ _ SN
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Chapter 3 / Sensors / Radar _ _ 2
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Chapter 3 / Sensors / Radar _ _ ⎛
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Chapter 3 / Sensors / Seeker _ _ 3.
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Chapter 3 / Sensors / Seeker _ _ 5
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Chapter 3 / Sensors / Seeker _ _
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Chapter 3 / Sensors / Seeker _ _ th
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Chapter 3 / Sensors / Seeker _ _ Th
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Chapter 3 / Sensors / Seeker _ _ Th
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Chapter 3 / Sensors / Fins _ _ 3.10
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Chapter 3 / Sensors / Fins _ _ thro
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Chapter 3 / Sensors / NAVSTAR GPS _
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Chapter 3 / Sensors / Helmet Mounte
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Chapter 3 / Sensors / Helmet Mounte
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Chapter 3 / Sensors / Air Data Syst
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Chapter 4 / Target Tracking _ _ 3.1
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Chapter 4 / Target Tracking _ _ Ine
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Chapter 4 / Target Tracking _ _ ran
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Chapter 5 / Missile State Observer
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5 Chapter 5 / Missile State Observe
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6 Chapter 6 / Missile Guidance _ _
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Chapter 6 / Missile Guidance _ _ 6.
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Chapter 6 / Missile Guidance _ _ As
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Chapter 6 / Missile Guidance _ _
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Chapter 6 / Missile Guidance _ _ CD
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Chapter 6 / Missile Guidance _ _ ge
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Chapter 6 / Missile Guidance _ _ ex
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Chapter 6 / Missile Guidance _ _ &
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Chapter 6 / Missile Guidance _ _ PN
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Chapter 6 / Missile Guidance _ _ ra
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Chapter 6 / Missile Guidance _ _ of
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Chapter 6 / Missile Guidance _ _ NO
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Chapter 6 / Missile Guidance _ _ tr
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Chapter 6 / Missile Guidance _ _ η
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Chapter 6 / Missile Guidance _ _ Au
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Chapter 6 / Missile Guidance _ _ Fo
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Chapter 6 / Missile Guidance _ _ (
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Chapter 6 / Missile Guidance _ _
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Chapter 6 / Missile Guidance _ _ ar
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7 Chapter 7 / Missile Trajectory Op
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Chapter 7 / Missile Trajectory Opti
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8 Chapter 8 / Simulation _ _ Chapte
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Chapter 8 / Simulation _ _ 8.1 The
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Chapter 8 / Simulation _ _ 8.3 The
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Chapter 8 / Simulation _ _ Having p
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Chapter 8 / Simulation _ _ 8.5.1 Gl
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Chapter 8 / Simulation _ _ (1) CONS
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Chapter 8 / Simulation _ _ 8.6.2 Ou
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Chapter 8 / Simulation _ _ The file
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Chapter 8 / Simulation _ _ • The
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Chapter 8 / Simulation _ _ comprehe
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Chapter 8 / Simulation _ _ WIN_RATE
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Chapter 8 / Simulation _ _ for this
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Chapter 8 / Simulation _ _ with the
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Chapter 8 / Simulation _ _ Figure 8
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Chapter 8 / Simulation _ _ Table 8-
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Chapter 8 / Simulation _ _ 8.8 Disc
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9 Chapter 9 / Performance _ _ Chapt
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Chapter 9 / Performance _ _ 9.1 Air
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Chapter 9 / Performance _ _ XM ( >
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Chapter 9 / Performance _ _ 9.3 PN
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Chapter 9 / Performance _ _ The eff
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Chapter 9 / Performance _ _ VXMVOM
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Chapter 9 / Performance _ _ VXMVOM
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Chapter 9 / Performance _ _ 9.4 CLO
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Chapter 9 / Performance _ _ AR_BOM
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Chapter 9 / Performance Chapter 9 /
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Initially the position error falls
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values of CN are not always a relia
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crude initialisation introduces err
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9.5.3 Singer Filter Tuning The Sing
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9.6.2 CLOS Study The CLOS study sho
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Chapter 10 / Conclusions _ _ 10-2
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Chapter 10 / Conclusions _ _ 10.3 T
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Chapter 10 / Conclusions _ _ 10.7 M
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Chapter 11 / Future Research _ _ 11
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Chapter 11 / Future Research _ _
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Chapter 11 / Future Research _ _ To
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References _ _ B.4 BAZARAA M.S., SH
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References _ _ F.1 FOX J.E., “A C
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References _ _ H.5 #HULL D.G., RADK
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References _ _ L.2 LOOZE D.P., HSU
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References _ _ N.4 NABAA N., BISHOP
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References _ _ R.3 RUSNACK I., “O
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References _ _ S.15 SINGER R.A.,
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References _ _ Y.2 YUAN P., CHERN J
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Bibliography _ _ B.13 BABA Y., YAMA
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Bibliography _ _ B.40 BECKER J.C.,
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Bibliography _ _ C.33 CORTINA E., O
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Bibliography _ _ E.8 ERSHOV A.A.,
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Bibliography _ _ G.34 GUTMAN P., VE
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Bibliography _ _ H.35 HUSSAIN A.M.,
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Bibliography _ _ K.14 KATZIR S., CL
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Bibliography _ _ L.19 LEFAS C.C,
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Bibliography _ _ M.16 MAYNE D.Q., P
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Bibliography _ _ P.1 PAINTER J.H.,
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Page 474 and 475: Bibliography _ _ S.47 SPEYER J.L.,
Page 476 and 477: Bibliography _ _ V.5 VIAN J.L., MOO
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Page 480 and 481: Appendix A / Geometric Points _ _ 1
Page 482 and 483: Appendix A / Geometric Points _ _ 1
Page 484 and 485: Appendix B / Frames of Reference _
Page 494 and 495: Appendix C / Axis Transforms _ _ 16
Page 496 and 497: Appendix C / Axis Transforms _ _ YP
Page 498 and 499: Appendix C / Axis Transforms _ _ B
Page 500 and 501: Appendix C / Axis Transforms _ _ YB
Page 504 and 505: Appendix C / Axis Transforms _ _ Us
Page 506 and 507: Appendix C / Axis Transforms _ _ No
Page 508 and 509: Appendix C / Axis Transforms _ _ B
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Page 514 and 515: Appendix D / Point Mass Dynamics _
Page 526 and 527: Appendix E / Earth Geometry _ _ 18-
Page 528 and 529: Appendix E / Earth Geometry _ _ ELL
Page 530 and 531: Appendix E / Earth Geometry _ _ (dx
Page 532 and 533: Appendix E / Earth Geometry _ _ Int
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Page 536 and 537: Appendix E / Earth Geometry _ _ 19-
Page 538 and 539: Appendix E / Earth Geometry _ _ P S
Page 540 and 541: Appendix E / Earth Geometry _ _ 19.
Page 542 and 543: Appendix E / Earth Geometry _ _ ∂
Page 544 and 545: Appendix G / Gravity _ _ 20-2
Page 546 and 547: Appendix G / Gravity _ _ g : = g +
Page 548 and 549: Appendix G / Gravity _ _ d −6 2
Page 550 and 551: Appendix G / Gravity _ _ 20-8
Page 552 and 553: Appendix H / Steady State Tracking
Page 562 and 563: Appendix I / Utilities _ _ 22.1-2
Page 564 and 565: Appendix I / Utilities _ _ Cartesia
Page 566 and 567: Appendix I / Utilities _ _ Matrix P
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Appendix I / Utilities / General Ut
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Appendix I / Utilities / WGS 84 Tar
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Appendix I / Utilities / Point Mass
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Appendix I / Utilities / Earth, Atm
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Appendix I / Utilities / Digital Ma
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Appendix I / Utilities / Matrices _
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Appendix I / Utilities / Quaternion
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Appendix I / Utilities / Trigonomet
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Appendix I / Utilities / Vectors _
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Appendix I / Utilities / Covariance
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