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Table 5

Result derived from the TGAS proper motions of K-M giants in the Galactic rectangular coordinates.

Solution r a N S1 b S2 b S3 b c c c c c c V0 b
A [0.2, 1.0] 23 612 9.9 20.7 6.5 1.2 −1.6 −13.2 15.4 −1.6 0.7 238.6
(1067)d ± 0.3 ± 0.3 ± 0.3 ± 0.8 ± 0.7 ± 0.7 ± 0.9 ± 0.9 ± 0.9 ± 9.7
B [0.3, 1.0] 18 685 10.2 21.4 6.6 0.9 −1.6 −12.1 15.1 −0.7 −0.3 227.0
(832) ± 0.4 ± 0.3 ± 0.4 ± 0.7 ± 0.7 ± 0.7 ± 0.9 ± 0.9 ± 0.9 ± 9.4
C [0.4, 1.0] 12 533 10.6 20.5 6.3 0.4 −1.9 −11.6 14.7 −1.7 0.6 219.9
(556) ± 0.5 ± 0.4 ± 0.5 ± 0.8 ± 0.8 ± 0.8 ± 0.9 ± 0.9 ± 0.9 ± 10.0
D [0.5, 1.0] 7233 10.4 20.1 7.0 −0.1 0.0 −12.3 15.7 0.7 0.3 233.7
(321) ± 0.7 ± 0.6 ± 0.6 ± 1.0 ± 0.9 ± 0.9 ± 1.1 ± 1.1 ± 1.1 ± 11.7
E [0.2, 1.0] 23 612 9.9 20.7 6.8 0 −1.8 −13.3 15.4 −1.4 0 239.6
(1064) ± 0.3 ± 0.3 ± 0.2 ± 0.7 ± 0.7 ± 0.9 ± 0.9 ± 9.7

Notes. The first six rows correspond to the least squares of Eqs. (3), (4) while the last row is obtained with the extra constraint .

(a)

Upper and lower limits of the heliocentric distance r. Units: kpc.

(b)

Units: km s-1.

(c)

Units: km s-1 kpc-1.

(d)

Outliers due to the filter of 2.6σ principle in the least squares fit.

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