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Table 3.

Basic parameters of the selected GCs (lines 1–5); main orbital parameters of the GCs analyzed in this study (lines 6–17), and membership probability for the different bar pattern speed adopted (lines 18–22).

Cluster Ids RA Dec μαcos(δ) μδ RV d Δμαcos(δ) Δμδ ΔRV
(deg.) (deg.) (mas yr−1) (mas yr−1) (km s−1) (kpc) (mas yr−1) (mas yr−1) (km s−1)
NGC 2808 138.01 −64.86 1.01 0.27 103.57 9.60 0.05 0.05 0.27
0.58 2.06 101.60 9.60 0.45 0.46 0.70
†† 1.02 0.28 103.57 10.21 0.01 0.01 0.27
NGC 6397 265.17 −53.67 3.28 −17.60 18.51 2.30 0.04 0.04 0.08
3.69 −14.88 18.80 2.30 0.29 0.26 0.10
†† 3.3 −17.60 18.51 2.44 0.01 0.01 0.08
NGC 6266 255.30 −30.11 −5.05 −2.95 −73.98 6.80 0.06 0.06 0.67
−3.50 −0.82 −70.10 6.80 0.37 0.37 1.40
†† −4.99 −2.95 −73.98 6.41 0.02 0.02 0.67
255.31 −30.11 −5.06 −2.98 −73.49 6.41 0.07 0.07 0.70

Cluster Ids rperi rapo Eccentricity (e) Zmax Lz, min Lz, max EJ Echar Orbit
(kpc) (kpc) (kpc) (101 km s−1 kpc) (101 km s−1 kpc) (105 km2 s2) (105 km2 s2)

NGC 2808 0.42 ± 0.08 (0.04) 14.48 ± 0.11 (0.03) 0.94 ± 0.01 (0.005) 3.00 ± 0.10 (0.07) −36.0 ± 1.5 (1.25) −16.0 ± 5.0 (2.94) −1.77 ± 0.010 (0.03) −1.66 ± 0.02 (0.01) Prograde
2.27 10.74 0.649 2.39
†† 0.97 ± 0.02 14.76 ± 0.13

NGC 6397 1.98 ± 0.07 (0.51) 7.77 ± 0.04 (0.59) 0.59 ± 0.01 (0.10) 3.73 ± 0.07 (0.12) −102.0 ± 1.5 (11.81) −56.0 ± 1.5 (15.11) −2.28 ± 0.004 (0.06) −1.97 ± 0.002 (0.05) Prograde
2.53 5.12 0.34 1.46
†† 2.63 ± 0.03 6.23 ± 0.02

NGC 6266 0.38 ± 0.17 (0.08) 2.88 ± 0.14 (0.04) 0.76 ± 0.09 (0.04) 1.01 ± 0.14 (0.04) −43.0 ± 2.0 (1.25) −9.0 ± 4.0 (2.16) −2.62 ± 0.01 (0.02) −2.48 ± 0.02 (0.01) Prograde
1.52 2.63 0.28 0.83
†† 0.83 ± 0.07 2.36 ± 0.09
* 0.35 ± 0.16 2.82 ± 0.16 0.79 ± 0.09 1.10 ± 0.14

Ωbar = 33 km s−1 kpc−1 33 km s−1 kpc−1 33 km s−1 kpc−1 43 km s−1 kpc−1 43 km s−1 kpc−1 43 km s−1 kpc−1 53 km s−1 kpc−1 53 km s−1 kpc−1 53 km s−1 kpc−1
Cluster Ids Bulge/Bar Disk Stellar halo Bulge/Bar Disk Stellar halo Bulge/Bar Disk Stellar halo
% % % % % % % % %

NGC 2808 0.00 0.65 99.35 0.00 1.30 98.70 0.00 2.62 97.38
NGC 6397 0.01 90.62 9.36 0.03 95.39 4.57 0.24 97.23 2.52
NGC 6266 45.07 54.60 0.33 47.19 52.52 0.29 48.25 51.49 0.26

Notes. The numbers inside parentheses indicate the sensitivity of the orbital elements to the different angular velocity of the bar (Ωbar), which we have computed as the standard deviation of the orbital elements when considering three different values for the bar pattern speeds, Ωbar = 33, 43, and 53 km s−1 kpc−1. (†) Moreno et al. (2014); († †) Baumgardt et al. (2019;  *) Pérez-Villegas et al. (2020); input parameters employed in this study were taken from Vasiliev (2019). Moreno et al. (2014) and Baumgardt et al. (2019) used Ωbar = 55 km s−1 kpc−1 and Pérez-Villegas et al. (2020) used Ωbar = 45 km s−1 kpc−1.

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