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

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Chapter 3 / Sensors _ _ ( t ) : = ϕ ( N ( 0 , σ ) , 1, ) y ω D 2L 3.2-22 SN GM2 SN GM2 Equation 3.2-24 The SIMULINK conversion from the continuous to the discrete domain, c2dm [ SN _ NP , SN _ DP ] : = 2 [ 1, 2 ⋅ ω ω ] ⎟ ⎞ SN GM1 , SN GM2 , SN R ⎠ ⎜ ⎛ 2 SN ωGM2 , ω ⎝ SN_R2NP(z) SN_R2DP(z) 1/SN_SF 1-z-1 0 SN_B_7 Equation 3.2-25 Figure 3-12 : 2 nd Order Gauss-Markov Motion The scale factor error is a combination of separately selectable constant, quadratic and asymmetric terms, ϕ SF ( x ) : = ϕ ( x , σ ) + ϕ ( x , σ ) + ϕ ( x , σ ) CS SN CS QS SN QS AS 1 SN AS Equation 3.2-26 The scale factor coefficients are initialised using Gaussian distributions defined by appropriate standard deviations, x ⋅ N ( x ) ( 0 , σ ) + ⋅ ⎜⎛ ⋅ ( σ ) + ( σ ) ⎟⎞ SN CS x x N 0 , = SN QS N 0 , t : 0 t : = 0 SN AS t : = 0 ⎠ 3.2.2.3 Analogue to Digital Conversion ⎝ ϕ SF : = Equation 3.2-27 The reference input, dynamics and error models are processed at a frequency representative of their analogue equivalent. The error models arising from the conversion of the analogue measurements into digital form are shown in Figure 3-13 and comprise: • Anti-Aliasing filter ( bit 23 ) • Range limiting (without word length wrapping) ( bit 24 ) • Quantisation ( bit 25 ) • Uniformly distributed “N” bit ADC noise ( bit 26 )
Chapter 3 / Sensors _ _ Expressing the ADC errors and anti-aliasing (A/A) filter in functional form, ϕ ADC ϕ 1 ADC 3.2-23 ( t ) AD AD AD AD AD AD ( ϕ ( x ( t ) , N , ω ) , f , N , N , X , X ) AA SN AA SN y AA SN : = AD AD ( ( t ) ) ≡ ϕ ϕ ϕ x ( t ) LIM O SN B SN NB SN LL SN UL Equation 3.2-28 AD ( ( ( , f ) ) + ) x ϕ ZOH BWF SN_B_23 SN_AQ SN_B_25 Q ZOH QUANTISED NOISE SN_B_26 SN O QN Equation 3.2-29 RANGE [SN_AL,SN_AU] SN_B_24 Figure 3-13 : Analogue to Digital Conversion Errors A Butterworth A/A filter attenuates high frequency noise preventing it from folding back into the sensor bandwidth about the Nyquist frequency. The ADC here operates at the same frequency as the sensor output interface (fO). To reduce the time delays, or produce a signal for further digital filtering, the ADC can be over-sampled at a frequency greater than that of the output interface - not modelled. In the frequency domain a ZOH is represented by, ( s ) : = ( 1 − exp ( − s f ) ) ⋅ x ( s ) s ⋅ y SN O Equation 3.2-30 For linear systems analysis the exponential function is replaced here by 1 st and 2 nd order Pade approximations, y ⎛ 2 ⋅ f ⎞ ⎜ 2 SNf O s ⎟ ⎝ ⋅ + ⎠ SN O ( s ) : = ⎜ ⎟ ⋅ x ( s ) ⎛ 12 ⋅ SN O ( s ) : = ⎜ ⎟ ⋅ x ( s ) y ⎜ 2 2 12 ⋅ SNf O + 6 ⋅ SNf O ⋅ s + s ⎝ f ⎞ ⎟ ⎠ Equation 3.2-31 Equation 3.2-32 1
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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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Page 57 and 58: Chapter 1 / Introduction _ _ radar
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Page 85 and 86: 3 Chapter 3 / Sensors _ _ Chapter 3
Page 87 and 88: Chapter 3 / Sensors _ _ 3.1 Simulat
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Page 95 and 96: Chapter 3 / Sensors _ _ 3.2-11 t o
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Page 103 and 104: Chapter 3 / Sensors _ _ The phase e
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Page 111 and 112: Chapter 3 / Sensors _ _ The functio
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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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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 / 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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