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 LinksRadial [m] Along Track [m] Cross Track [m]7 x 7 0 0.01 05 x 5 0.07 0.46 0.012 x 2 13.1 84.6 3.2J2-Propagator (2 x 0) 378 3.3 km 2 kmKepler (0 x 0) 1.5 km 16.8 m 4.7 kmJGM-2 (70 x 70) 0.02 0.13 0GEM-T3 (50 x 50) 0.44 5.4 0GRIM4-S4 (66 x 66) 0.32 3.96 0Deviated JGM-3 0 0.01 0Table 4-7 20200 km MEO 1 dayRadial [m] Along Track [m] Cross Track [m]7 x 7 0 0 05 x 5 0.02 0.07 02 x 2 8.2 10.7 2.9J2-Propagator (2 x 0) 374 409 600Kepler (0 x 0) 1.6 km 3.2 km 1.5 kmJGM-2 (70 x 70) 0.01 0.01 0GEM-T3 (50 x 50) 0.48 1.22 0GRIM4-S4 (66 x 66) 0.33 0.81 0Deviated JGM-3 0 0 0Table 4-8 20200 km MEO 6 hoursPage 44R. Wolf
Inter Satellite LinksOrbit ComputationIt can be seen that a satellite in that orbit altitude is fairly good predicted if a gravity model of7 degree and order is used. Even for long term prediction (< 1 week) a 15 x 15 model issuffcient.The next two tables shows the orbit errors for the GEO. It is obvious that the GEO is affectedonly by the lower harmonics. For a short prediction period a spherical harmonic expansion upto degree and order 5 is sufficient. For longer prediction periods, a gravity model up to 9degree and order is sufficient.Radial [m] Along Track [m] Cross Track [m]7 x 7 0 0 05 x 5 0 0.03 0.012 x 2 6.23 36.41 0.76J2-Propagator (2 x 0) 71 187 0.8Kepler (0 x 0) 1.8 km 13.1 km 0.97JGM-2 (70 x 70) 0 0.01 0GEM-T3 (50 x 50) 0.7 4.6 0GRIM4-S4 (66 x 66) 0.5 3.4 0Deviated JGM-3 0 0 0Table 4-9 GEO 1 dayR. Wolf Page 45
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<strong>Inter</strong> <strong>Satellite</strong> <strong>Links</strong><strong>Orbit</strong> ComputationIt can be seen that a satellite in that orbit altitude is fairly good predicted if a gravity model of7 degree <strong>and</strong> order is used. Even for long term prediction (< 1 week) a 15 x 15 model issuffcient.The next two tables shows the orbit errors for the GEO. It is obvious that the GEO is affectedonly by the lower harmonics. For a short prediction period a spherical harmonic expansion upto degree <strong>and</strong> order 5 is sufficient. For longer prediction periods, a gravity model up to 9degree <strong>and</strong> order is sufficient.Radial [m] Along Track [m] Cross Track [m]7 x 7 0 0 05 x 5 0 0.03 0.012 x 2 6.23 36.41 0.76J2-Propagator (2 x 0) 71 187 0.8Kepler (0 x 0) 1.8 km 13.1 km 0.97JGM-2 (70 x 70) 0 0.01 0GEM-T3 (50 x 50) 0.7 4.6 0GRIM4-S4 (66 x 66) 0.5 3.4 0Deviated JGM-3 0 0 0Table 4-9 GEO 1 dayR. Wolf Page 45
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