Satellite Orbit and Ephemeris Determination using Inter Satellite Links

Inter Satellite LinksOrbit ComputationAtmospheric Density ρ [kg/m³] Scale Height H 0 [km]Altitude [km] Solar Min Solar Max Solar Min Solar Maxh Night Day Night Day Night Day Night Day100 9.8e-9 9.8e-9 9.8e-9 9.8e-9 6.0 5.9 5.9 5.9200 1.8e-10 2.1e-10 3.2e-10 3.7e-10 33.4 37.9 43.2 49.4300 5.0e-12 1.1e-11 2.6e-11 4.7e-11 44.5 53.2 57.0 67.9400 4.8e-13 1.6e-12 5.0e-12 1.2e-11 52.8 60.5 69.5 79.8500 4.1e-14 2.0e-13 8.5e-13 3.1e-12 60.4 67.4 74.6 88.7600 1.0e-14 3.9e-14 2.0e-13 1.0e-12 76.1 76.4 81.8 96.1700 4.1e-15 1.0e-14 4.8e-14 3.1e-13 133.7 95.6 92.8 105.0800 2.4e-15 4.3e-15 1.7e-14 1.1e-13 213.4 138.7 113.5 115.8900 1.6e-15 2.4e-15 7.3e-15 4.3e-14 324.8 215.4 153.2 134.21000 9.6e-16 1.7e-15 4.2e-15 2.0e-14 418.2 308.9 217.1 164.9Table 4-3 Atmospheric Density and Scale Height4.2.5 Solid Earth TidesThe solid earth tides result as a indirect effect from the attraction of Moon and Sun. Theycause a deformation of the earth figure and the therefore of the earth's gravity field, which canbe expressed as a deviation of the harmonic coefficients. The deviations of the earth'sharmonic coefficients of 2 nd and 3 rd order due to solid tides can be expressed by followingequation found in [ITN-96]:with∆Cnmk nmR E+ i∆Snmknm=2n + 13∑j=2GMGMjE⎛⎜R⎝ rjE⎞⎟⎠n+1Pnm( sin Φ )je−imλNominal degree Love number for degree n and order mEquatorial radius of the EarthjEq. 4.2-53GM j Gravitational parameters for Earth (E), Moon (j = 2) and Sun (j = 3)r j Distance from geocenter to Moon (j = 2) and Sun (j = 3)R. Wolf Page 35