IGS LEO CHAMP precision estimates


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CHAMP precision
JASON precision


As explained on the introduction page, the information from the orbit comparison results and the SLR tracking residuals is combined to estimate the actual dilution of precision D. This value is the ratio between the RMS of tracking data error, and the RMS of orbit error. The actual value can only be computed from pairwise results, but as long as the resulting values for D are reasonably contsant, this constant can also be applied to single solutions.

Table 1 below shows the pairwise RMS of SLR residuals as obtained from the separate orbit solutions. The solutions have been ordered according to their RMS of SLR residuals, which is reflected by the increase of the pairwise RMS from the left column to the right column. The grey values have been excluded from the analysis for various reasons, typically because the corresponding value of D falls outside a reasonable noise band. This suggests that the two involved orbit solutions are not sufficiently independent, namely, the pairwise RMS of SLR residuals is larger than what the RMS of orbit differences indicates. The most reasonable explanation for such a situation is that the two involved solutions sontrain a common orbit error signal, which will be removed from the difference signal between the two (i.e. the orbit comparison results) but not from the SLR residuals.

The ratios D show a reasonably constant value, the mean value from this table is 1.65 at a standard deviation of 0.15 (9%). Applying this constant value D to the separate solutions results in the absolute orbit error estimates of Table 2 below.

At present, all orbits with an estimated precision better than 10 cm RMS are considered adequate for the IGS LEO Pilot Project analysis. This value of 10 cm has been asopted only as a working value, the actual analysis must show if this is really precise enough (to compare, the typical accuracy of IGS tracking station coordinates is better than 1 cm, i.e. an order of magnitude more precise). As can be seen in Table 2, the two IGS Analysis Centers that had early access to the CHAMP data - GFZ and JPL - have reached this precision level. It is reasonable to expect that AIUB and ESOC may reach this precision about 1.5 year later, corresponding to the period between launch of the CHAMP satellite and the release of the GPS data.
 
 
 

 
DEOS
CSR
TUM
GFZ
JPL
GRGS
NCL
ASI
AIUB
CNES
ESA
UCAR
UNB
DEOS
*
5.71
5.85
6.01
6.41
7.70
8.27
8.66
14.03
14.05
17.21
17.72
27.60
CSR
1.45
*
6.40
6.54
6.91
8.12
8.66
9.04
14.27
14.29
17.40
17.90
27.72
TUM
1.40
1.70
*
6.67
7.03
8.22
8.75
9.13
14.33
14.34
17.45
17.95
27.75
GFZ
1.51
1.67
1.57
*
7.16
8.33
8.86
9.23
14.39
14.41
17.51
18.00
27.79
JPL
1.49
1.29
1.59
1.39
*
8.63
9.14
9.50
14.56
14.58
17.65
18.14
27.88
GRGS
1.58
1.78
1.41
1.56
1.60
*
10.08
10.41
15.17
15.19
18.15
18.63
28.20
NCL
1.22
1.06
1.38
1.31
1.08
1.45
*
10.84
15.47
15.49
18.40
18.87
28.36
ASI
1.80
1.68
1.75
1.81
1.64
1.86
1.48
*
15.69
15.70
18.58
19.05
28.48
AIUB
1.78
1.72
1.75
1.77
1.70
1.79
1.60
1.73
*
19.19
21.62
22.02
30.54
CNES
1.88
1.90
1.83
1.84
1.75
1.74
1.74
1.88
1.52
*
21.63
22.03
30.55
ESA
1.73
1.76
1.71
1.74
1.68
1.75
1.67
1.76
1.66
1.69
*
24.17
32.13
UCAR
1.67
1.68
1.65
1.67
1.59
1.68
1.58
1.67
1.46
1.63
1.58
*
32.40
UNB
2.18
1.87
2.18
2.18
2.18
2.16
2.15
2.20
2.06
2.09
1.99
2.09
*

Table 1: Pairwise RMS of SLR residuals (top triangle) and ratio D between this pairwise RMS and the RMS of orbit differences (bottom triangle)

 
cm
1-way SLR
orbit error
sigma
DEOS
3.60
5.94
0.54
CSR
4.43
7.31
0.67
TUM
4.61
7.60
0.69
GFZ
4.81
7.93
0.72
JPL
5.31
8.75
0.80
GRGS
6.80
11.21
1.02
NCL
7.44
12.26
1.12
ASI
7.88
12.99
1.19
AIUB
13.56
22.36
2.04
CNES
13.58
22.39
2.04
ESA
16.83
27.74
2.53
UCAR
17.35
28.59
2.61
UNB
27.37
45.11
4.12

Table 2: Estimated orbit error in individual solutions, based on D=1.65 +/- 0.15