Article Figures & Data
Figures
- FIGURE 1
Prediction error of SV position compared with the true position
- FIGURE 2
Geometry of the satellite range ρ from the SV antenna phase center S to the user location U, with elevation angle α, nadir angle θ, Earth radius re, and orbital radius rs The angle ∠SEU, where point E is the center of the Earth, serves as an alternate polar angle θ′. Point X is the intersection between an extension of the line
and the outward radial vector from E normal to this extended line. R denotes the radial direction. Not shown is the azimuthal angle ϕ, which is referenced to the along-track direction. - FIGURE 3
URE contributions for different 1-m errors (a) Radial (b) Along-track (c) Cross-track (d) Clock
- FIGURE 4
URE contributions for different pairs of 1-m errors (a) Radial + Along-track (b) Radial + Cross-track (c) Radial + Clock (d) Along-track + Cross-track (e) Along-track + Clock (f) Cross-track + Clock
- FIGURE 5
UREs for SVN 59/PRN 19 on June 17, 2012
- FIGURE 6
w coefficient versus orbital radius for 0°, 2°, and 5° elevation masks, along with values from GNSS performance standards
- FIGURE 7
w′ coefficient versus orbital radius for 0°, 2°, and 5° elevation masks, along with values from GNSS performance standards
Tables
Component(s) Figure Minimum Instantaneous SIS URE (m) Maximum Instantaneous SIS URE (m) Radial 3 a 0.971 1.000 Along-track 3 b −0.240 0.240 Cross-track 3 c −0.240 0.240 Clock 3 d −1.000 −1.000 Radial + Along-track 4 a 0.729 1.211 Radial + Cross-track 4 b 0.729 1.211 Radial + Clock 4 c −0.029 0.000 Along-track + Cross-track 4 d −0.340 0.340 Along-track + Clock 4 e −1.240 −0.760 Cross-track + Clock 4 f −1.240 −0.760 Error (m) Component −0.006 Radial 1116.697 Along-track 1517.682 Cross-track −0.331 Clock SIS RMS URE (m) Case 0.980 1-m radial offset 0.144 1-m along-track offset 0.144 1-m cross-track offset 1.000 1-m clock offset 0.990 1-m radial and 1-m along-track offset 0.990 1-m radial and 1-m cross-track offset 0.020 1-m radial and 1-m clock offset 0.199 1-m along-track and 1-m cross-track offset 1.010 1-m along-track and 1-m clock offset 1.010 1-m cross-track and 1-m clock offset 268.75 June 17, 2012 SVN 59/PRN 19 GNSS w w’ GPS SPS PS Eq. (A-1) 0.040 0.980 Galileo SDD Eq. (1) 0.03090 0.98440 GLONASS OS PS Section B.1 0.0450 0.9800 Note: Values shown with same number of significant figures as in their source documents.
GNSS Radius (km) Min. Elev. (°) w w’ GPS (MEO) 26560 5 0.039 0.980 2 0.040 0.980 0 0.041 0.979 Galileo (MEO) 29600 5 0.03102 0.98435 2 0.03202 0.98384 0 0.03264 0.98352 GLONASS (MEO) 25508 5 0.0421 0.9787 2 0.0435 0.9780 0 0.0444 0.9775 BeiDou (MEO) 27906 5 0.0350 0.9823 2 0.0361 0.9817 0 0.0368 0.9814 GEO (BeiDou, NAVIC†) 42164 5 0.0150 0.9924 2 0.0155 0.9922 0 0.0158 0.9921 QZSS perigee 39002 5 0.0176 0.9911 2 0.0182 0.9909 0 0.0185 0.9907 QZSS apogee 45326 5 0.0130 0.9935 2 0.0134 0.9933 0 0.0136 0.9931 Note: GPS and Galileo values shown with same number of significant figures as in the respective performance standards.
↵† Navigation with Indian Constellation
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