Table 2
Source pair statistics in Case A.
| α = 0 | α = 1 | α = 2 | α = 3 | α = 4 | |
|
|
|||||
| ω = 1.00 | |||||
| S10,n/2 | +0.0539 | +0.0215 | +0.0129 | +0.0095 | +0.0079 |
| Σϕ|| | +0.0897 | +0.0332 | +0.0172 | +0.0108 | +0.0079 |
| Σϕ⊥ | +0.0909 | +0.0360 | +0.0202 | +0.0140 | +0.0111 |
| Σϖ | +0.0990 | +0.0428 | +0.0272 | +0.0211 | +0.0184 |
| Σμ || | +0.1022 | +0.0451 | +0.0286 | +0.0219 | +0.0187 |
| Σμ⊥ | +0.1025 | +0.0470 | +0.0308 | +0.0242 | +0.0211 |
| Δϕ|| | +0.0051 | −0.0026 | −0.0036 | −0.0038 | −0.0039 |
| Δϕ⊥ | +0.0086 | −0.0009 | −0.0022 | −0.0025 | −0.0026 |
| Δϖ | +0.0155 | +0.0068 | +0.0058 | +0.0055 | +0.0054 |
| Δμ|| | +0.0078 | +0.0000 | −0.0010 | −0.0013 | −0.0014 |
| Δμ⊥ | +0.0077 | −0.0018 | −0.0031 | −0.0034 | −0.0036 |
|
|
|||||
| ω = 1.16 | |||||
| S 10,n/2 | +0.0539 | +0.0166 | +0.0052 | +0.0001 | −0.0027 |
| Σϕ|| | +0.0897 | +0.0247 | +0.0036 | −0.0060 | −0.0111 |
| Σϕ⊥ | +0.0909 | +0.0277 | +0.0070 | −0.0025 | −0.0075 |
| Σϖ | +0.0990 | +0.0344 | +0.0138 | +0.0045 | −0.0002 |
| Σμ|| | +0.1022 | +0.0365 | +0.0148 | +0.0046 | −0.0009 |
| Σμ⊥ | +0.1025 | +0.0387 | +0.0173 | +0.0074 | +0.0019 |
| Δϕ|| | +0.0051 | −0.0038 | −0.0051 | −0.0055 | −0.0057 |
| Δϕ⊥ | +0.0086 | −0.0024 | −0.0041 | −0.0046 | −0.0048 |
| Δϖ | +0.0155 | +0.0055 | +0.0041 | +0.0036 | +0.0034 |
| Δμ|| | +0.0078 | −0.0012 | −0.0026 | −0.0030 | −0.0032 |
| Δμ⊥ | +0.0077 | −0.0033 | −0.0050 | −0.0056 | −0.0058 |
Notes. S10,n/2 is the statistic testing the 10 × 10 joint covariance matrices of the n/2 pairs of sources. The subsequent lines give the statistic S1,n/2 for the sums and differences of the astrometric parameters resolved along and perpendicular to the arc joining the two sources. Since n = 3 × 105 the uncertainty is ± 0.0012 for S10,n/2 and ± 0.0037 for S1,n/2. Results are given for two values of the fudge factor ω. The results for α = 0 are unaffected by the value of ω, because the attitude variance is not taken into account in the zero-order approximation.
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