Table 2
Large-scale structure of the proper motion field of the Gaia-CRF2 quasars analysed using vector spherical harmonics.
| Rotation [μas yr−1] | Glide [μas yr−1] | ||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Fit | Source selection | W | lmax | N | x | y | z | x | y | z | |||||||
| 1 | all | y | 1 | 556869 | − 3.1 ± | 0.8 | − 1.9 ± | 0.7 | − 1.0 ± | 0.9 | – | – | – | ||||
| 2 | all | y | 1 | 556869 | − 3.6 ± | 0.8 | − 2.2 ± | 0.7 | − 0.9 ± | 0.9 | − 7.0 ± | 0.8 | 4.7 ± | 0.7 | 12.1 ± | 0.7 | |
| 3 | all | y | 5 | 556869 | − 5.5 ± | 1.1 | − 7.4 ± | 0.9 | 5.6 ± | 1.2 | − 9.2 ± | 1.2 | 4.7 ± | 1.0 | 11.6 ± | 1.0 | |
| 4 | μ < 2 mas yr−1, G < 18 | y | 5 | 27189 | − 13.8 ± | 2.0 | − 13.2 ± | 1.7 | 4.0 ± | 2.2 | − 7.9 ± | 2.2 | 4.7 ± | 1.8 | 10.3 ± | 1.7 | |
| 5 | μ < 2 mas yr−1, G < 18 | n | 5 | 27189 | − 8.9 ± | 2.9 | − 12.1 ± | 2.4 | 2.8 ± | 2.5 | − 10.4 ± | 2.9 | 5.7 ± | 2.4 | 16.6 ± | 2.5 | |
| 6 | μ < 2 mas yr−1, G < 19 | y | 5 | 149146 | − 11.2 ± | 1.3 | − 12.0 ± | 1.1 | 4.4 ± | 1.4 | − 9.8 ± | 1.5 | 4.6 ± | 1.2 | 10.4 ± | 1.1 | |
| 7 | μ < 3 mas yr−1, G < 20 | y | 5 | 400472 | − 5.9 ± | 1.1 | − 8.6 ± | 0.9 | 5.1 ± | 1.2 | − 9.0 ± | 1.2 | 4.1 ± | 1.0 | 11.9 ± | 1.0 | |
| 8 | μ < 3 mas yr−1 | y | 5 | 513270 | − 5.7 ± | 1.1 | − 7.9 ± | 0.9 | 5.2 ± | 1.2 | − 8.8 ± | 1.2 | 4.1 ± | 1.0 | 11.6 ± | 0.9 | |
| 9a | ⌊105α⌋ mod 2 = 0 | y | 5 | 278170 | − 5.8 ± | 1.6 | − 8.9 ± | 1.3 | 6.4 ± | 1.7 | − 8.5 ± | 1.7 | 3.0 ± | 1.4 | 12.5 ± | 1.4 | |
| 9b | ⌊105α⌋ mod 2 = 1 | y | 5 | 278699 | − 5.1 ± | 1.6 | − 5.8 ± | 1.3 | 4.8 ± | 1.7 | − 9.8 ± | 1.7 | 6.6 ± | 1.4 | 10.7 ± | 1.4 | |
| 10 | G > 19 | y | 5 | 406356 | 9.8 ± | 2.1 | 6.2 ± | 1.8 | 7.0 ± | 2.4 | − 8.3 ± | 2.3 | 3.3 ± | 1.9 | 15.6 ± | 1.9 | |
Notes. 
is the modulus of the proper motion. N is the number of sources used in the solution. W = “y” or “n” for weighted or unweighted solution. The weighted solutions use a block-diagonal weight matrix obtained from the 2 × 2 covariance matrix of each source. lmax is the highest degree of the fitted VSH from which rotation and glide are extracted for l = 1. The columns headed x, y, z give the components of the rotation and glide along the principal axes of the ICRS. In rows 9a and 9b, two independent halves of the sample are selected according to whether ⌊105 α⌋ is even (9a) or odd (9b), with α in degrees.
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