Trimble RTX TM Orbit Determination and User Positioning Performance with BeiDou Satellites

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Nick Talbot, Xiaoming Chen, Nico Reussner, Markus Brandl, Markus Nitschke, Carlos Rodriguez-Solano, Feipeng Zhang Trimble Terrasat GmbH IGNSS 2016, SYDNEY, AUSTRALIA Trimble RTX TM Orbit Determination and User Positioning Performance with BeiDou Satellites

Outline Motivation Trimble RTX TM Correction Services BeiDou Orbit Determination Rover Positioning Performance with BeiDou Summary 1

2 Motivation BeiDou satellites provide enhanced global coverage for high precision positioning Focus of BeiDou IGSO and GEO satellites over Asia-Pacific region GEO satellite orbit determination is recognized as problematic Potential improvements in RTX rover performance from the inclusion of all BeiDou satellites

3 Trimble RTX TM Correction Services

4 Trimble RTX Correction Services Satellite Delivery

5 Trimble RTX Correction Services Worldwide IP / Cellular Delivery

6 Trimble RTX Correction Services

7 RTX Service History BeiDou MEO / IGSO Support Galileo Support 3 rd Frequency Support Regional Ionosphere Model Regional Troposphere Model BeiDou GEO Support QZSS Support Global Ionosphere Model GPS / GLONASS

8 Trimble CenterPoint RTX - general overview Global Trimble tracking network with > 110 stations L-band satellite link coverage Convergence to < 4cm : 10-20 min Convergence to < 4cm : 1 min CenterPoint RTX Standard (globally) CenterPoint RTX Fast (Central US and Europe)

9 Trimble RTX Compatible Devices Agriculture Survey GIS Seismic TMX-2050 R10 FmX R9s R1/PG200 Kestrel R2 CenterPoint RTX CenterPoint RTX Fast FieldPoint RTX RangePoint RTX ViewPoint RTX Enhanced xfill / xfill Premium CFX-750 MMX-070 Ag-372 NetR9 Geospatial NetR9 Infrastructure Geo 7x Spectra Precision SNS Systems Land Administration Construction Applanix Land and Airborne Solutions OEM BD982 MB- TWO ProMark 700 SP60 Mobile Mapper 300 SP80 ProXRT Trimble Outdoors Trimble Leap SPS855 SPS852 BX982 SPS985 & SPS985L SPS585

10 BeiDou Orbit Determination

11 BeiDou GEO Orbit Determination Precise orbit determination challenging for GEO satellites Weak and almost invariable tracking geometry w.r.t. ground stations: Altitude of ~36,000 km (~20,000km for MEO) Satellite position almost fixed with respect to the Earth Lack of apparent satellite motion induces strong correlations between estimated parameters such as: Satellite position, velocity, clock Receiver clock, troposphere Multipath (code & phase)

12 BeiDou GEO Orbit Determination Stabilize the solution with GPS as aiding system Enhance tracking geometry, e.g. by: Use of code observations Low elevation cutoff Tailored solar radiation pressure model for GEOs: Proper parameterization to reduce correlation Orbit normal attitude mode considered Geostationary satellites perform frequent station-keeping manoeuvres: Approximately every 4 to 10 weeks Shown in next slides based on broadcast ephemerides Orbit processor states need to reconverge after manoeuver

Change of semi-major axis over time C01 GEO 13 C04 GEO

Change of semi-major axis over time C09 IGSO 14 C14 MEO

Real-Time MEO Orbit Performance Comparison to external IGS-MGEX orbits GFZ German Research Centre for Geosciences RMS all days [m]: Along-T. 0.154 Cross-T. 0.075 Radial 0.052 WUHAN University, GNSS Research Center RMS all days [m]: Along-T. 0.155 Cross-T. 0.077 Radial 0.053 CODE Center for Orbit Determination in Europe 15 Excluded periods in orbit-normal attitude mode RMS all days [m]: Along-T. 0.138 Cross-T. 0.065 Radial 0.051

Real-Time IGSO Orbit Performance Comparison to external IGS-MGEX orbits GFZ German Research Centre for Geosciences RMS all days [m]: Along-T. 0.134 Cross-T. 0.157 Radial 0.090 WUHAN University, GNSS Research Center RMS all days [m]: Along-T. 0.208 Cross-T. 0.178 Radial 0.105 CODE Center for Orbit Determination Europe 16 Excluded periods in orbit-normal attitude mode RMS all days [m]: Along-T. 0.145 Cross-T. 0.104 Radial 0.121

17 Real-Time GEO Orbit Performance Comparison to external IGS-MGEX orbits GFZ German Research Centre for Geosciences RMS all days [m]: Along-T. 2.860 Cross-T. 2.465 Radial 0.881 WUHAN University, GNSS Research Center RMS all days [m]: Along-T. 1.990 Cross-T. 0.188 Radial 0.280

15-minute Prediction Error [m] Real-Time BeiDou Orbit Performance Internal consistency 0.030 0.025 0.020 15-min orbit prediction error RMS over all satellites and all epochs [m] 17 weeks (Jul 10 Nov 5, 2016) Along-track Cross-track Radial 0.015 0.010 0.005 0.000 GPS GLONASS Galileo BeiDou MEO BeiDou IGSO BeiDou GEO 18

19 Rover Positioning Performance with BeiDou

20 Rover RTX Performance with/without BeiDou Data 14 Stations (Australia, China, New Zealand, Japan, Taiwan) 4 months (July-November 2016) RTX realtime data stream Positioning solutions GPS-GLONASS versus GPS-GLONASS-BeiDou (Dual-Frequency) Kinematic positioning in post-processing Analysis Convergence Convergence time to achieve < 4 cm horizontal error Convergence runs with reset every hour Position error after convergence

21 Horizontal Convergence Comparison 68% : 14.3min GPS+GLN 68% : 10.2min GPS+GLN+BDS 95%: 29.3min GPS+GLN 95%: 20.6min GPS+GLN+BDS 29% Reduction Number of possible runs: 40008 Number of counted runs: 38205 (GPS+GLN); 38274 (GPS+GLN+BDS) 30% Reduction 4cm Threshold

22 Vertical Convergence Comparison 68% : 11.2min GPS+GLN 68% : 8.3min GPS+GLN+BDS 95%: 23.9min GPS+GLN 95%: 17.8min GPS+GLN+BDS 26% Reduction 26% Reduction Number of possible runs: 40008 Number of counted runs: 38205 (GPS+GLN); 38274 (GPS+GLN+BDS) 9cm Threshold

23 Horizontal Position Error after Convergence

24 Vertical Position Error after Convergence

Summary All BeiDou satellites now included in RTX transmissions and rover processing: BeiDou GEO satellites provide the greatest challenge for precise orbit determination Internal consistency checks indicate that mean component RMS errors in BeiDou orbits are: 2cm for GEO, and 1cm for ISGO / MEO satellites BeiDou orbits from RTX system, agree with external sources to cm/dmlevel for MEO / ISGO satellites and meter-level for GEO satellites. Adding BeiDou satellites to Trimble RTX TM positioning: Reduced convergence times by 25-30% over the Asia Pacific test region Improved (95%) Horizontal and Vertical position errors improved by 18% and 7% respectively 25

Thank you for your attention!