Preliminary Orbit Determination of Artificial Satellites: A Vectorial Sixth-Order Approach

Table 3

Results of reference Orbit I.

Method	Iter	𝜌	𝐼̃	𝐼𝑐̃	𝜀𝑎	𝜀𝑒	𝜀𝑖	𝜀𝑤	𝜀Ω	Time (s)
N	7	1.9999	1.1112	1.1112	3.2757𝑒−109	4.8982𝑒−110	7.3653𝑒−109	2.6237𝑒−108	0	0.005049
T	5	2.9995	1.1396	1.1102	2.0466𝑒−120	3.0603𝑒−121	4.6017𝑒−120	1.6393𝑒−119	0	0.005463
J	4	4.0000	1.1264	1.0771	4.8431𝑒−200	8.8034𝑒−201	3.9324𝑒−200	1.4008𝑒−199	0	0.005906
NAJC1	3	5.7569	1.1347	1.0485	3.6731𝑒−148	4.3049𝑒−148	1.5905𝑒−146	5.6659𝑒−146	0	0.009218
NAJC2	3	5.7821	1.1352	1.0487	3.9057𝑒−149	4.6174𝑒−149	1.7089𝑒−147	6.0879𝑒−147	0	0.007306