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
Orbit ComputationInter Satellite Links4002000Orbit Error [m]-200-400-600-800-1000-1200-1400RadialAlong TrackCross Track19:12:30.000 01:52:30.000 08:32:30.000UTC [hours:minutes:seconds]Figure 4-4 Orbit Error of MEO neglecting Lunar AttractionObviously the LEO satellite is less affected by third body attractions than satellites in MEO (or GEO and IGSO)orbits. It is a general tendency that the direct tidal effect increases with orbit height. This can easily be verifiedby setting the satellites radius in Eq. 4.2-46 to zero which causes the third body attraction to vanish.The following table show the orbit errors due to neglecting lunar attraction for predictionperiods of one day and six hours.Page 48R. Wolf
Inter Satellite LinksOrbit ComputationRadial [m] Along Track [m] Cross Track [m]LEO 1 day 1.24 23.5 4.0LEO 6 hours 1.1 7.0 1.4MEO 1 day 167 687 101MEO 6 hours 201 288 19GEO 1 day 1 km 2.9 km 370GEO 6 hours 219 385 96IGSO 1 day 1 km 3.1 km 446IGSO 6 hours 464 410 175Table 4-11 Lunar Tide PerturbationThe solar attraction, although being slightly lower in magnitude shows in principle the sameerror characteristic. Thus only the summary table or the root mean square error is givenbelow.Radial [m] Along Track [m] Cross Track [m]LEO 1 day 0.47 4.12 4.99LEO 6 hours 0.46 1.05 1.3MEO 1 day 69 144 119MEO 6 hours 55 177 37GEO 1 day 429 1 km 309GEO 6 hours 308 240 94IGSO 1 day 423 1 km 525IGSO 6 hours 259 420 226Table 4-12 Solar Tide PerturbationR. Wolf Page 49
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<strong>Inter</strong> <strong>Satellite</strong> <strong>Links</strong><strong>Orbit</strong> ComputationRadial [m] Along Track [m] Cross Track [m]LEO 1 day 1.24 23.5 4.0LEO 6 hours 1.1 7.0 1.4MEO 1 day 167 687 101MEO 6 hours 201 288 19GEO 1 day 1 km 2.9 km 370GEO 6 hours 219 385 96IGSO 1 day 1 km 3.1 km 446IGSO 6 hours 464 410 175Table 4-11 Lunar Tide PerturbationThe solar attraction, although being slightly lower in magnitude shows in principle the sameerror characteristic. Thus only the summary table or the root mean square error is givenbelow.Radial [m] Along Track [m] Cross Track [m]LEO 1 day 0.47 4.12 4.99LEO 6 hours 0.46 1.05 1.3MEO 1 day 69 144 119MEO 6 hours 55 177 37GEO 1 day 429 1 km 309GEO 6 hours 308 240 94IGSO 1 day 423 1 km 525IGSO 6 hours 259 420 226Table 4-12 Solar Tide PerturbationR. Wolf Page 49
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