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

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Chapter 5 / Missile State Observer _ _ The variation in the body acceleration with respect to the linear states, & ML 1 B ZA B A ( 03x 2 , mm ⋅ ∂ Fm ∂ Pm M ∂ &P & o, m ∂ P& m M 03x3 ) B ∂ Po, m − ∂ X m −1 m : = B m A m ∂ F ⋅ ∂ P& − 5-24 Equation 5.9-19 B 123 B B 456 B B 789 B ( ω × ϕ , ω × ϕ , ω × ϕ ) A, B ∂ P& & B o, m A ∂ P& A m A, B : = A A, B A Equation 5.9-20 The linear acceleration innovations are apportioned to the angular states, ∂ &P & ∂ X ∂ P& & ∂ Q ∂ P& & YB o, m B A ∂ Q ZB o, m B A B o, m MA : = XB o, m ⎛ ⎜ ⎛ ⎜ ⎜ ⎜ ⎝ ⎝ B A ∂ &P & m ∂ Q XA B A , ∂ &P & m ∂ Q YA B A ZA m , ∂ &P & m ∂ Q ZA B A ⎞ ⎟ ⎠ T M [ ] ⎟ ⎟ ⎞ B P& o, m × M 03x3 ⎠ Equation 5.9-21 ( ) T − q , q , q , q ∂ P ∂ Q : = − 2 ⋅ g ⋅ − & : = : = ⎛ ⎜ ⎜ 2 ⋅ ⎜ ⎜ ⎝ ⎛ ⎜ ⎜ 2 ⋅ ⎜ ⎜ ⎝ ZB ( ω + y ) A, B v YB ( z − ω ) w A, B ⎛ − q0 ⎜ ⎜ − q1 ⋅ ⎜ q2 ⎜ ⎝ q3 ⎛ q0 ⎜ ⎜ q1 ⋅ ⎜ − q ⎜ ⎝ − q 2 3 q q q q 2 q q q q 3 2 1 0 3 2 1 0 − q q3 − q q − q q3 − q q 1 2 0 1 3 2 0 ⎞ ⎟ ⎟ ⎟ ⋅ P& ⎟ ⎠ ⎞ ⎟ ⎟ ⎟ ⋅ P& ⎟ ⎠ A o, m A o, m 0 1 Equation 5.9-22 − g − g ZA m ⎛ q ⎜ ⎜ q ⋅ ⎜ q ⎜ ⎝ q 1 0 3 2 T ⎞ ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ ⎠ Equation 5.9-23 ZA m ⎛ q0 ⎜ ⎜ q1 ⋅ ⎜ − q ⎜ ⎝ q3 2 T ⎞ ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ ⎠ Equation 5.9-24 The variation in thrust, drag, and normalised aerodynamic lateral force derivatives with respect to the linear missile states,
Chapter 5 / Missile State Observer _ _ ∂ F ∂ X B m ML : = ⎛ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ m −1 m ∂ y ∂ X ∂ z ∂ X ⎛ ⋅ ⎜ ⎝ v ML w ML ∂ F ∂ X ⋅ P& ⋅ P& XB T ML YB o, m ZB o, m 5-25 ∂ F + ∂ X ∂ y + ∂ X ∂ z + ∂ X XB D ξ ML η ML ML ⋅ ξ ⋅ η ⎞ ⎞ ⎟ ⎟ ⎟ ⎠ ⎟ ⎛ ⎟ ⎜ ⎟ ⎜ ⎟ ⎜ + ⎟ ⎜ y ⎟ ⎜ ⎟ ⎜ ⎟ ⎝ z ⎟ ⎠ v w ⋅ ⋅ 0 456 B ( ϕ ) A ⎞ ( ) ⎟ ⎟⎟⎟⎟⎟⎟ 789 B T ϕ A T ⎠ Equation 5.9-25 The variation in thrust and drag with respect to the linear missile states is defined in §6.3&4. The normalised lateral force derivatives are themselves functions of Mach Number, geodetic height and incidence. For example, the variation in the lateral lift derivative with respect to the these parameters expressed in the state space, ⎛ ⎜ ⎜ ⎝ 0 2 , ∂ y ∂ M v m ∂ M ⋅ ∂ P m ZA m M ∂ y v ∂ y ∂ M v ∂ X m ML ∂ M ⋅ ∂ P& : = m A m + ∂ y ∂ ξ v MV B MV ∂ ξB ⋅ ∂ P& A m M 0 3 ⎞ ⎟ ⎟ ⎠ Equation 5.9-26 Likewise for the other normalised aerodynamic derivatives. For the generic missile, these equations are simplified using the incidence lag and its variation with missile height, velocity and incidence that are defined in §6, ∂ F ∂ X B m ML : = ⎛ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ −1 m ⎛ ⋅ ⎜ ⎝ ∂ − ∂ F ∂ X YB ( 1 T ) ∂ X ZB ( 1 T ) ∂ − ∂ X XB T ML I ML I ML ∂ F + ∂ X ⋅ P& ⋅ P& XB D ML YB o, m ZB o, m 5.9.3.2 Angular Motion Pseudo-Measurements m ⎞ ⎟ ⎠ ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ ⎛ ⎜ ⎜ ⎜ − ⎜ ⎜ ⎜ ⎝ YB 456 B ( 1 T ) ⋅ ( ϕ ) I ( ) ( ) ⎟ ⎟⎟⎟⎟⎟⎟ ZB 789 B T 1 T ⋅ ϕ I 0 A A T ⎞ ⎠ Equation 5.9-27 Applying the simplifying assumptions to the angular equations of motion the angular acceleration pseudo-measurement,
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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 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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Bibliography _ _ R.32 RONG LI X., Z
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Bibliography _ _ S.47 SPEYER J.L.,
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Bibliography _ _ V.5 VIAN J.L., MOO
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Bibliography _ _ W.29 WATSON G.A.,
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Appendix A / Geometric Points _ _ 1
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Appendix A / Geometric Points _ _ 1
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Appendix B / Frames of Reference _
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Appendix C / Axis Transforms _ _ 16
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Appendix C / Axis Transforms _ _ YP
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Appendix C / Axis Transforms _ _ B
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Appendix C / Axis Transforms _ _ YB
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Appendix C / Axis Transforms _ _ Us
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Appendix C / Axis Transforms _ _ No
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Appendix C / Axis Transforms _ _ B
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Appendix C / Axis Transforms _ _
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Appendix D / Point Mass Dynamics _
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Appendix E / Earth Geometry _ _ 18-
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Appendix E / Earth Geometry _ _ ELL
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Appendix E / Earth Geometry _ _ (dx
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Appendix E / Earth Geometry _ _ Int
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Appendix E / Earth Geometry _ _ 18.
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Appendix E / Earth Geometry _ _ 19-
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Appendix E / Earth Geometry _ _ P S
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Appendix E / Earth Geometry _ _ 19.
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Appendix E / Earth Geometry _ _ ∂
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Appendix G / Gravity _ _ 20-2
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Appendix G / Gravity _ _ g : = g +
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Appendix G / Gravity _ _ d −6 2
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Appendix G / Gravity _ _ 20-8
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Appendix H / Steady State Tracking
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Appendix I / Utilities _ _ 22.1-2
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Appendix I / Utilities _ _ Cartesia
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Appendix I / Utilities _ _ Matrix P
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Appendix I / Utilities _ _ 22.1-8
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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 / Axis Trans
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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 / Earth, Atm
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Appendix I / Utilities / Digital Ma
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Appendix I / Utilities / Digital Fi
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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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