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

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Appendix E / Earth Geometry _ _ ELLIPSOID Table 18-1 : Local Earth Reference Ellipsoids SEMI-MAJOR AXIS ( RA ) 18-4 SEMI-MINOR AXIS ( RB ) DATE AREA Clarke 6 378 206 6 356 584 1866 North America Clarke 6 378 249 6 356 480 1880 France,North Africa International 6 378 388 6 356 912 1924 Europe Mod Airey (OS) 6 378 563 6 356 257 1936 Great Britain Krassowski 6 378 245 6 356 836 1940 Russia WGS 72 6 378 135 6 356 751 1972 USA DoD WGS 84 6 378 137 6 356 752 1984 USA DoD (GPS) The variation in the Earth radii with latitude derived in the following subsections is shown in Figure 18-2. . PRINCIPLE EARTH RADII ( METRES ) x 106 6.4 6.39 6.38 6.37 6.36 6.35 6.34 GEODETIC RADIUS MERIDIAN RADIUS EARTH RADIUS 6.33 0 10 20 30 40 50 60 70 80 90 LATITUDE ( DEGREES ) Figure 18-2 : Principle Earth Radii for Navigation The geocentric radius (Rr,d) is a function of the polar and meridian radii (Rpd) and (Rmd). r, d 2 pd 2 d 2 md P : = R ⋅ sin λ + R ⋅ cos λ 2 d Equation 18.1-1 When dealing with terrestrial navigation over long distances the term Nautical mile is often used which is equivalent to 1 arc-second, or 1852 m.
Appendix E / Earth Geometry _ _ 18.2 General Ellipsoidal Analysis The Earth’s flattening at the poles due to its rotation, f : = R B 1 − : = R A 18-5 0. 0033528107 Equation 18.2-1 The geocentric latitude of the missile (λrd) is the angle between the equatorial plane and a vector from the Earth centre (r) through points (p), and by definition (d) on the Earth's surface. The angle between the equatorial plane and a vector from point (q) through point (p) defines the geodetic latitude (λd). The angle between these latitude, λ d − λ rd −3 −6 ( 2 ⋅ λ ) + 5. 672 x10 ⋅ sin ( 4 ⋅ ) : = 3. 373x10 ⋅sin λ d Equation 18.2-2 Earth eccentricity expressed in terms of flattening and elliptical radii, e 2 : = From Figure 18-1, ⎛ ⎜ ⎜ ⎜ ⎝ x z ⎞ ⎟ ⎟ ⎟ ⎠ ⎛ R 1 − ⎜ ⎝ R : = P r, d B A ⋅ ⎞ ⎟ ⎠ ⎛ ⎜ ⎜ ⎜ ⎝ 2 : = cos λ sin λ rd rd 2 ⋅ f − f ⎞ ⎟ ⎟ ⎟ ⎠ : = P 2 r, d : = ⋅ ⎛ ⎜ ⎜ ⎜ ⎝ 0. 00669438 cos λ x ⋅ tan λ The ellipsoid representing the Earth's equipotential surface is, 1 : = ⎛ ⎜ ⎝ x R A ⎞ ⎟ ⎠ 2 ⎛ + ⎜ ⎝ z R B ⎞ ⎟ ⎠ 2 Equation 18.2-3 rd rd ⎞ ⎟ ⎟ ⎟ ⎠ Equation 18.2-4 Equation 18.2-5 Differentiating with respect to (x) and expressing the result in terms of eccentricity, 2 dz ⎛ 2 dx : = ( e 1 ) x R B ⎞ x − ⋅ : = ⋅ − z ⎜ R ⎟ ⎝ A ⎠ z Equation 18.2-6 d
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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 _ _
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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 / 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 / Fins _ _ 3.10
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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 _ _ &
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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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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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Page 480 and 481: Appendix A / Geometric Points _ _ 1
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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-
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Page 532 and 533: Appendix E / Earth Geometry _ _ Int
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Page 538 and 539: Appendix E / Earth Geometry _ _ P S
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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 +
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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
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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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