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Satellite Orbit and Ephemeris Determination using Inter Satellite Links

Satellite Orbit and Ephemeris Determination using Inter Satellite Links

Satellite Orbit and Ephemeris Determination using Inter Satellite Links

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<strong>Inter</strong> <strong>Satellite</strong> <strong>Links</strong>List of FiguresFigure 1-1Principle of <strong>Inter</strong> <strong>Satellite</strong> Measurements..................................................................1Figure 1-2 ISL Tracking Geometry for a GEO <strong>Satellite</strong>.............................................................2Figure 1-3 Tracking Geometry for LEO <strong>Satellite</strong>.......................................................................3Figure 4-1 Prediction Error of LEO 1250 km with 15 x 15 Geopotential................................40Figure 4-2 <strong>Orbit</strong> Error of MEO with 5 x 5 gravity model after 1 day......................................43Figure 4-3 <strong>Orbit</strong> Error of LEO 1250 km neglecting Lunar Attraction .....................................47Figure 4-4 <strong>Orbit</strong> Error of MEO neglecting Lunar Attraction ...................................................48Figure 4-5 <strong>Orbit</strong> Error of 1250km LEO neglecting Solar Radiation Pressure .........................50Figure 4-6 4-7<strong>Orbit</strong> Error of MEO neglecting Solar Radiation Pressure .................................51Figure 4-8 <strong>Orbit</strong> Error of 800 km LEO neglecting Air Drag....................................................53Figure 4-9 Radial / Cross Track Error of 800 km LEO neglecting Air Drag ...........................54Figure 4-10 <strong>Orbit</strong> Error of 800 km LEO neglecting Solid Earth Tides....................................55Figure 4-11 <strong>Orbit</strong> Error of MEO neglecting Solid Earth Tides................................................56Figure 4-12 Prediction Error of IGSO neglecting Major Planets Attraction............................57Figure 4-13 Integration Step Width vs. <strong>Orbit</strong> Altitude.............................................................59Figure 4-14 Number of Function Evaluations vs. <strong>Orbit</strong> Altitude .............................................60Figure 4-15 Absolute Error vs. <strong>Orbit</strong> Altitude..........................................................................61Figure 5-1 <strong>Orbit</strong> Integration Process ......................................................................................73Figure 5-2 State Estimation Process .......................................................................................74Figure 5-3 Code Noise vs. Range .............................................................................................78Figure 5-4 Carrier Noise vs. Range ..........................................................................................79Figure 5-5 Range Rate Noise vs. Distance ...............................................................................81Figure 5-6 Chapman Profile of the Ionosphere ......................................................................82Figure 5-7 Broadcast Message Adjustment ............................................................................87Figure 5-8 Integrity Processing Check ..................................................................................89Figure 6-1 Ground Tracks of Optimized GPS constellation.....................................................93Figure 6-2 Visibility of Optimized GPS Constellation over 24 h.............................................94Figure 6-3 Ground Tracks of IGSO Walker Constellation......................................................95Figure 6-4 Visibility of IGSO Walker Constellation................................................................96Figure 6-5 Ground Tracks of IGSO Constellation "on three Loops" .......................................97Figure 6-6 Visibility of IGSO Constellation "on three Loops" ................................................98R. Wolf Page v

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