Numerical Example

In the following we give a numerical example for the application of some formulas given in the paper for comparison with software implementations. As pointed out in the introduction all numerical values in this paper will be available through our website.

Table 8: Numerical example for a geocentric S/C position vector in different coordinate systems . Positions are in geocentric cartesian coordinates in units of Earth equatorial radii [$R_E$ = 6378.14 km] for the date Aug 28, 1996 16:46:00 TT.

System	X [$R_E$]	Y [$R_e$]	Z [$R_E$]
$GEO_T$	6.9027400	-1.6362400	1.9166900
$GEI_T$	-5.7864335	-4.1039357	1.9166900
$GEI_D$	-5.7864918	-4.1039136	1.9165612
$HAE_D$	-5.7864918	-3.0028771	3.3908764
$HAE_{J2000}$	-5.7840451	-3.0076174	3.3908496
$GEI_{J2000}$	-5.7840451	-4.1082375	1.9146822
$HGC_{J2000}$	-5.4328785	4.1138243	2.7493786
$HEE_D$	-4.0378470	-5.1182566	3.3908764
$HEEQ_D$	-4.4132668	-5.1924440	2.7496187
$HCD$	-4.3379628	5.2555187	2.7496187
$GSE_D$	4.0378470	5.1182566	3.3908764
$GSM_D$	4.0378470	6.0071917	1.2681645
$SM_D$	3.3601371	6.0071917	2.5733108
$MAG_D$	3.3344557	6.0215108	2.5732497
$HGRTN_E$	4.0360303	5.1931904	-3.2771992