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Table 2:

Orbital parameters for the cluster sample, together with their $1\sigma $ standard errors.
Orbital parameters
NGC $R_{\rm a}^\star$ (kpc) $R_{\rm p}^\star$ (kpc) $e^\star$ $P^\star$ (Myr) $V_{\rm c,a}^\dagger$ (km s-1) $\nu_{\rm sh}^\star$ (10 Gyr)-1
104 7.3 $\pm$ 0.1 5.3 $\pm$ 0.3 0.16 $\pm$ 0.04 193 $\pm$ 4 221.4 $\pm$ 0.2 $(0.501\pm 0.134)\times 10^{-2}$
288 11.1 $\pm$ 0.4 1.8 $\pm$ 0.5 0.72 $\pm$ 0.06 237 $\pm$ 12 213.5 $\pm$ 0.8 $(0.739\pm 0.186)\times 10^{0}$
1851 34.7 $\pm$ 5.9 5.7 $\pm$ 1.2 0.72 $\pm$ 0.02 685 $\pm$ 114 195.9 $\pm$ 1.4 $(0.804\pm 0.286)\times 10^{-3}$
1904 20.4 $\pm$ 1.3 4.4 $\pm$ 1.7 0.64 $\pm$ 0.10 422 $\pm$ 32 201.9 $\pm$ 1.0 $(0.592\pm 0.540)\times 10^{-2}$
4147 26.8 $\pm$ 3.4 4.0 $\pm$ 1.9 0.74 $\pm$ 0.08 551 $\pm$ 74 198.4 $\pm$ 1.4 $(0.208\pm 0.098)\times 10^{-1}$
4590 30.0 $\pm$ 3.7 8.7 $\pm$ 0.4 0.55 $\pm$ 0.03 650 $\pm$ 78 197.2 $\pm$ 1.2 $(0.208\pm 0.050)\times 10^{-2}$
5139 6.4 $\pm$ 0.1 1.2 $\pm$ 0.1 0.69 $\pm$ 0.02 123 $\pm$ 1 222.8 $\pm$ 0.1 $(0.373\pm 0.082)\times 10^{0}$
5272 14.0 $\pm$ 0.8 5.4 $\pm$ 0.8 0.44 $\pm$ 0.06 321 $\pm$ 18 208.6 $\pm$ 1.2 $(0.209\pm 0.108)\times 10^{-2}$
5466 69.8 $\pm$ 29.6 6.7 $\pm$ 1.4 0.83 $\pm$ 0.03 1340 $\pm$ 595 192.1 $\pm$ 1.4 $(0.110\pm 0.074)\times 10^{0}$
5904 46.1 $\pm$ 12.8 2.5 $\pm$ 0.2 0.90 $\pm$ 0.02 995 $\pm$ 286 193.9 $\pm$ 1.6 $(0.117\pm 0.048)\times 10^{-1}$
6093 3.2 $\pm$ 0.2 1.0 $\pm$ 0.6 0.54 $\pm$ 0.21 65 $\pm$ 6 213.3 $\pm$ 1.8 $(0.121\pm 0.085)\times 10^{-1}$
6121 5.8 $\pm$ 0.3 0.7 $\pm$ 0.1 0.79 $\pm$ 0.03 114 $\pm$ 3 223.2 $\pm$ 0.1 $(0.280\pm 0.072)\times 10^{0}$
6171 3.3 $\pm$ 0.2 2.8 $\pm$ 0.3 0.08 $\pm$ 0.07 99 $\pm$ 7 214.2 $\pm$ 1.7 $(0.125\pm 0.037)\times 10^{0}$
6205 25.3 $\pm$ 6.9 5.7 $\pm$ 0.5 0.63 $\pm$ 0.07 526 $\pm$ 132 199.0 $\pm$ 3.3 $(0.154\pm 0.068)\times 10^{-2}$
6218 5.3 $\pm$ 0.1 2.8 $\pm$ 0.3 0.30 $\pm$ 0.04 130 $\pm$ 4 223.0 $\pm$ 0.1 $(0.235\pm 0.075)\times 10^{-1}$
6254 5.0 $\pm$ 0.2 3.4 $\pm$ 0.4 0.18 $\pm$ 0.05 132 $\pm$ 7 222.7 $\pm$ 0.3 $(0.261\pm 0.074)\times 10^{-1}$
6341 9.9 $\pm$ 0.4 1.3 $\pm$ 0.1 0.78 $\pm$ 0.03 208 $\pm$ 12 216.0 $\pm$ 0.8 $(0.167\pm 0.060)\times 10^{-1}$
6362 5.3 $\pm$ 0.1 2.6 $\pm$ 0.2 0.35 $\pm$ 0.04 124 $\pm$ 2 223.0 $\pm$ 0.1 $(0.491\pm 0.125)\times 10^{0}$
6656 9.6 $\pm$ 0.7 2.8 $\pm$ 0.2 0.55 $\pm$ 0.01 197 $\pm$ 14 216.6 $\pm$ 1.5 $(0.441\pm 0.114)\times 10^{-1}$
6712 5.9 $\pm$ 0.3 0.9 $\pm$ 0.1 0.74 $\pm$ 0.04 126 $\pm$ 11 223.2 $\pm$ 0.1 $(0.114\pm 0.041)\times 10^{0}$
6779 13.0 $\pm$ 1.9 0.8 $\pm$ 0.3 0.88 $\pm$ 0.03 249 $\pm$ 30 210.2 $\pm$ 3.1 $(0.407\pm 0.142)\times 10^{0}$
6809 6.0 $\pm$ 0.3 1.7 $\pm$ 0.2 0.56 $\pm$ 0.04 136 $\pm$ 5 223.1 $\pm$ 0.2 $(0.177\pm 0.048)\times 10^{0}$
6934 46.8 $\pm$ 19.8 6.7 $\pm$ 1.6 0.75 $\pm$ 0.06 990 $\pm$ 434 193.8 $\pm$ 2.4 $(0.149\pm 0.112)\times 10^{-2}$
7089 42.2 $\pm$ 17.9 6.3 $\pm$ 1.2 0.74 $\pm$ 0.06 860 $\pm$ 379 194.5 $\pm$ 2.7 $(0.818\pm1.220)\times 10^{-3}$
$^{\star}$ From Dinescu et al. (1999); $^\dagger$ computed using the galactic potential from Paczynski (1990).
Consecutive columns list the cluster NGC number, apogalactic radius $R_{\rm a}$, perigalactic radius $R_{\rm p}$, eccentricity e, orbital period P, circular velocity of the gravitational potential at the distance of apogalacticon  $V_{\rm c,a}$ and destruction rate due to disc shocking  $\nu_{\rm sh}$.

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