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Table 2

Results of fittings of the KSO data to rotational velocity profile Eq. (2).

Row Method Cycle Time period Hemisphere A B N vl
1 int, DS 20 1964.8–1976.3 N+S 14.45 ± 0.02 −3.05 ± 0.27 5319
2 int, DS 21 1976.3–1986.7 N+S 14.50 ± 0.02 −2.47 ± 0.20 7486
3 int, DS 22 1986.7–1996.4 N+S 14.44 ± 0.02 −2.81 ± 0.17 8400
4 int, DS 23 1996.4–2008.9 N+S 14.50 ± 0.02 −2.54 ± 0.17 8204
5 aut, DS 24 2008.9–2016.3 N+S 14.48 ± 0.04 −2.61 ± 0.45 3701
6 int (all), DS 20–23 1964.8–2008.9 N+S 14.47 ± 0.01 −2.66 ± 0.10 29 409
7 int + aut (all), DS 20–24 1964.8–2016.3 N+S 14.47 ± 0.01 −2.66 ± 0.10 33 110
8 int, DS 20 1964.8–1976.3 N 14.45 ± 0.03 −3.17 ± 0.35 2845
9 int, DS 21 1976.3–1986.7 N 14.49 ± 0.03 −2.26 ± 0.29 3675
10 int, DS 22 1986.7–1996.4 N 14.43 ± 0.03 −3.13 ± 0.25 3882
11 int, DS 23 1996.4–2008.9 N 14.50 ± 0.03 −2.79 ± 0.25 3838
12 aut, DS 24 2008.9–2016.3 N 14.47 ± 0.06 −2.48 ± 0.68 1893
13 int (all), DS 20–23 1964.8–2008.9 N 14.47 ± 0.02 −2.83 ± 0.14 14 240
14 int + aut (all), DS 20–24 1964.8–2016.3 N 14.47 ± 0.02 −2.82 ± 0.14 16 133
15 int, DS 20 1964.8–1976.3 S 14.44 ± 0.03 −2.78 ± 0.45 2474
16 int, DS 21 1976.3–1986.7 S 14.52 ± 0.03 −2.67 ± 0.28 3811
17 int, DS 22 1986.7–1996.4 S 14.44 ± 0.03 −2.52 ± 0.24 4518
18 int, DS 23 1996.4–2008.9 S 14.49 ± 0.03 −2.33 ± 0.24 4366
19 aut, DS 24 2008.9–2016.3 S 14.49 ± 0.06 −2.74 ± 0.62 1808
20 int (all), DS 20–23 1964.8–2008.9 S 14.47 ± 0.02 −2.50 ± 0.14 15 169
21 int + aut (all), DS 20–24 1964.8–2016.3 S 14.47 ± 0.01 −2.51 ± 0.13 16 977
22 int, rLSQ 20 1964.8–1976.3 N+S 14.45 ± 0.03 −3.06 ± 0.33 1216
23 int, rLSQ 21 1976.3–1986.7 N+S 14.53 ± 0.03 −2.66 ± 0.26 1717
24 int, rLSQ 22 1986.7–1996.4 N+S 14.50 ± 0.02 −3.17 ± 0.20 1763
25 int, rLSQ 23 1996.4–2008.9 N+S 14.51 ± 0.03 −2.79 ± 0.22 1757
26 aut, rLSQ 24 2008.9–2016.3 N+S 14.52 ± 0.05 −2.60 ± 0.52 787
27 int (all), rLSQ 20–23 1964.8–2008.9 N+S 14.50 ± 0.01 −2.89 ± 0.12 6453
28 int + aut (all), rLSQ 20–24 1964.8–2016.3 N+S 14.50 ± 0.01 −2.87 ± 0.12 7240
29 int, rLSQ 20 1964.8–1976.3 N 14.46 ± 0.04 −3.26 ± 0.39 640
30 int, rLSQ 21 1976.3–1986.7 N 14.51 ± 0.04 −2.35 ± 0.38 836
31 int, rLSQ 22 1986.7–1996.4 N 14.50 ± 0.03 −3.50 ± 0.27 803
32 int, rLSQ 23 1996.4–2008.9 N 14.52 ± 0.04 −2.89 ± 0.34 813
33 aut, rLSQ 24 2008.9–2016.3 N 14.41 ± 0.07 −1.87 ± 0.87 405
34 int (all), rLSQ 20–23 1964.8–2008.9 N 14.50 ± 0.02 −3.01 ± 0.17 3092
35 int + aut (all), rLSQ 20–24 1964.8–2016.3 N 14.49 ± 0.02 −2.94 ± 0.17 3497
36 int, rLSQ 20 1964.8–1976.3 S 14.43 ± 0.05 −2.76 ± 0.57 576
37 int, rLSQ 21 1976.3–1986.7 S 14.54 ± 0.04 −2.94 ± 0.36 881
38 int, rLSQ 22 1986.7–1996.4 S 14.49 ± 0.03 −2.83 ± 0.29 960
39 int, rLSQ 23 1996.4–2008.9 S 14.50 ± 0.03 −2.71 ± 0.30 944
40 aut, rLSQ 24 2008.9–2016.3 S 14.66 ± 0.07 −3.59 ± 0.63 382
41 int (all), rLSQ 20–23 1964.8–2008.9 S 14.49 ± 0.02 −2.77 ± 0.17 3361
42 int + aut (all), rLSQ 20–24 1964.8–2016.3 S 14.51 ± 0.02 −2.81 ± 0.17 3743

Notes. Differential rotation parameters are calculated separately for solar cycles Nos. 20–24, for the part of the data set using the interactive procedure (covering solar cycles Nos. 20–23) – int (all), and for the whole data set using the interactive and automatic procedure together (covering solar cycles Nos. 20–24) – int+aut (all). All results are calculated separately via the DS and rLSQ methods covering the whole Sun (i.e., both hemispheres together) – N+S, the northern hemisphere – N, and the southern hemisphere – S. All calculations are exposed to ±58 deg CMD filter and 8–19 deg/day velocity filter. The sidereal parameters and their standard errors are expressed in deg/day. Nvl is the number of calculated rotation velocities.

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