(GLAS) PRECISION ATTITUDE DETERMINATION - Center for ...

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Table 4.1: Star identication simulation results using the pattern matching algorithm. One orbital period of simulated data wereprocessed.RA FOVs Number of Identied Frames Mis. ID() (3) (radian) 3 stars 4 stars 5 stars total(%) frames(%)0.0 4418 6074 44487 54979(100) 167(0.3)0 54981 2:0 10 ;4 4399 6074 44487 54960(99.96) 167(0.3)1:0 10 ;3 4296 6074 44487 54857(99.77) 167(0.3)5:0 10 ;3 3477 6074 44654 54205(98.59) 0(0)0.0 2729 4186 46704 53619(100) 0(0)45 53619 2:0 10 ;4 2717 4186 46704 53607(99.98) 0(0)1:0 10 ;3 2655 4186 46704 53545(99.86) 0(0)5:0 10 ;3 2577 4186 46704 53467(99.72) 0(0)0.0 2450 5008 49533 56991(100) 72(0.1)90 56991 2:0 10 ;4 2441 5008 49537 56986(99.99) 68(0.1)1:0 10 ;3 2401 5008 49552 56961(99.95) 53(0.1)5:0 10 ;3 2190 5008 49605 56803(99.67) 0(0)0.0 1666 3821 50394 55881(100) 115(0.2)135 55881 2:0 10 ;4 1662 3821 50394 55877(99.99) 115(0.2)1:0 10 ;3 1642 3821 50394 55857(99.96) 115(0.2)5:0 10 ;3 1299 3821 50468 55588(99.48) 41(0.1)1:0 10 ;2 1258 3821 50509 55588(99.48) 0(0)43
Star Tracker FOVat t i+1at t i+1observed CRFq i+1,i44(ω i +ω i+1 )2q i,iat t iorq OBCat t i+1at t icomparetrue CRF(from Star Catalog)Figure 4.6: Coordinate systems in the direct match technique
Page 3: GLOSSARYATBDBDCCDCRFCRSDMTEKFFOAMFO
Page 11: Chapter 2FUNDAMENTALS OFATTITUDE DE
Page 14 and 15: Rigorous satisfaction of a set of l
Page 16 and 17: lead to the attitude dierential equ
Page 18 and 19: To take advantage of multiple unit
Page 20 and 21: ppstarz SCF(boresightdirection)66op
Page 22 and 23: Table 3.1: Characteristics of the c
Page 25 and 26: Start?ReadStar Catalog?Input Initia
Page 27 and 28: Table 3.3: Some noise characteristi
Page 29 and 30: 3.2.1 Gyro ModelFarrenkopf's gyro m
Page 31 and 32: Table 3.4: Probability of the numbe
Page 33 and 34: the Sun, ~v, by [52], = j~vjcsin (
Page 35 and 36: 4.1 Pattern Matching Algorithm4.1.1
Page 37 and 38: 0 17(9)5(7)1(11)180 . . .-CC CW25(
Page 39 and 40: . If these conditions are satised,
Page 41 and 42: ....* 30 *400base lineAAAAAAAAAAU*
Page 43: third star is considered in a posit
Page 47 and 48: the unique identication. If no star
Page 49 and 50: Declination(a)α 0-∆αα 0+∆αR
Page 51 and 52: The B-matrix is very important sinc
Page 53 and 54: The square roots of the diagonal co
Page 55 and 56: The benet of the FOAM over the SVD
Page 57 and 58: subject to(t k;1 t k;1 ) = I 33 (5.
Page 59 and 60: where ~v k is a discrete white Gaus
Page 61 and 62: Figure 5.1: QUEST angle errors in a
Page 63 and 64: Table 5.2: SFAD computation time ob
Page 65 and 66: Figure 5.5: Angle errors from batch
Page 67 and 68: Figure 5.8: True errors versus rms
Page 69 and 70: Star Field6LRCLaser Reference Camer
Page 71 and 72: Star TrackerAAAAAAAA Astar A Ab AAA
Page 73 and 74: Figure 6.5: Pointing determination
Page 75 and 76: LRSLPAFigure 6.7: Projection of LPA
Page 77 and 78: A(t), needs to be known at a 40 Hz
Page 79 and 80: starspacecraftV = V earth+ V s/cV =
Page 81 and 82: simulation can be applied for the e
Page 83 and 84: Chapter 7IMPLEMENTATIONCONSIDERATIO
Page 85 and 86: with the real time determination. T
Page 87 and 88: Bibliography[1] European Space Agen
Page 89 and 90: [31] B.E. Schutz. Spaceborne Laser
Page 91 and 92: ACKNOWLEDGMENTSThe authors would li
Page 93 and 94: where C ij is a matrix componentini

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