# Escape velocity and velocity dispersion # of the Galactic globular clusters # calculated using single-mass isotropic King models # with a constant mass-to-light ratio M/Lv = 3. # # Oleg Y. Gnedin, HongSheng Zhao, J. E. Pringle, # S. Michael Fall, Mario Livio, and Georges Meylan # # "The Unique History of the Globular Cluster Omega Centauri" # # M = cluster mass, in solar masses # Rc = cluster core radius, in pc # c = cluster concentration, log_10(Rt/Rc) # v0 = escape velocity at the cluster center, in km/s # vh = escape velocity at the cluster half-mass radius # s0 = one-dimensional velocity dispersion at the cluster center # sh = one-dimensional velocity dispersion at the cluster half-mass radius # # name M Rc c v0 vh s0 sh # NGC 104 1.50e+06 5.76e-01 2.03 68.8 38.0 16.4 12.9 NGC 288 1.12e+05 3.43e+00 0.96 13.3 10.1 4.0 3.4 NGC 362 5.88e+05 4.70e-01 1.94 51.1 29.7 12.4 10.0 NGC 1261 3.41e+05 1.86e+00 1.27 27.9 20.2 7.7 6.7 Pal 1 2.50e+03 6.98e-01 1.60 3.4 2.2 0.9 0.7 AM 1 1.96e+04 5.32e+00 1.12 4.2 3.1 1.2 1.0 Eridanus 2.92e+04 6.56e+00 1.10 4.6 3.5 1.3 1.2 Pal 2 4.10e+05 1.93e+00 1.45 27.8 19.4 7.4 6.4 NGC 1851 5.51e+05 2.11e-01 2.32 51.8 24.3 11.6 8.4 NGC 1904 3.57e+05 6.00e-01 1.72 40.7 26.1 10.3 8.6 NGC 2298 8.49e+04 1.06e+00 1.28 18.4 13.3 5.1 4.4 NGC 2419 1.74e+06 8.57e+00 1.40 27.8 19.6 7.5 6.4 Pyxis 5.02e+04 1.58e+01 0.65 4.8 3.7 1.6 1.3 NGC 2808 1.42e+06 7.03e-01 1.77 72.8 45.8 18.2 15.2 E 3 3.29e+03 2.34e+00 0.75 3.0 2.3 1.0 0.8 Pal 3 4.89e+04 1.29e+01 1.00 4.4 3.4 1.3 1.1 NGC 3201 2.54e+05 2.16e+00 1.30 22.0 15.9 6.1 5.2 Pal 4 6.56e+04 1.75e+01 0.78 4.9 3.8 1.6 1.3 NGC 4147 7.47e+04 5.61e-01 1.80 18.3 11.4 4.6 3.8 NGC 4372 3.29e+05 2.95e+00 1.30 21.5 15.5 5.9 5.1 Rup 106 8.89e+04 6.17e+00 0.70 9.9 7.7 3.3 2.7 NGC 4590 2.23e+05 2.05e+00 1.64 18.2 12.0 4.7 3.9 NGC 4833 4.10e+05 1.75e+00 1.25 31.8 23.1 8.9 7.6 NGC 5024 8.26e+05 1.92e+00 1.78 33.4 20.9 8.4 6.9 NGC 5053 1.25e+05 9.45e+00 0.84 8.9 6.8 2.8 2.3 NGC 5139 3.35e+06 3.98e+00 1.24 60.4 44.0 16.9 14.5 NGC 5272 9.57e+05 1.66e+00 1.84 37.2 22.7 9.2 7.5 NGC 5286 7.13e+05 9.28e-01 1.46 52.6 36.6 14.0 12.0 AM 4 1.12e+03 3.65e+00 0.50 1.6 1.3 0.6 0.5 NGC 5466 1.79e+05 8.11e+00 1.32 9.5 6.8 2.6 2.2 NGC 5634 3.23e+05 1.58e+00 1.60 25.4 17.0 6.6 5.6 NGC 5694 3.41e+05 6.06e-01 1.84 36.8 22.4 9.1 7.5 IC 4499 2.19e+05 5.28e+00 1.11 14.1 10.5 4.1 3.5 NGC 5824 8.81e+05 4.65e-01 2.45 38.0 17.0 8.3 5.9 Pal 5 3.00e+04 1.96e+01 0.74 3.2 2.5 1.0 0.9 NGC 5897 2.11e+05 7.30e+00 0.79 13.4 10.4 4.3 3.6 NGC 5904 8.57e+05 9.16e-01 1.83 47.7 29.2 11.8 9.7 NGC 5927 3.38e+05 9.29e-01 1.60 33.9 22.7 8.8 7.4 NGC 5946 2.81e+05 2.98e-01 2.50 25.3 11.1 5.4 3.9 NGC 5986 5.99e+05 1.92e+00 1.22 37.0 27.1 10.4 8.9 Pal 14 2.00e+04 2.02e+01 0.75 2.5 2.0 0.8 0.7 NGC 6093 5.02e+05 4.36e-01 1.95 48.7 28.1 11.8 9.5 NGC 6121 1.95e+05 5.31e-01 1.59 34.2 22.9 8.9 7.5 NGC 6101 1.49e+05 5.12e+00 0.80 13.4 10.3 4.3 3.6 NGC 6144 1.69e+05 2.82e+00 1.55 14.1 9.6 3.7 3.1 NGC 6139 5.66e+05 4.11e-01 1.80 59.0 36.6 14.7 12.2 Terzan 3 1.79e+04 2.57e+00 0.70 6.9 5.4 2.3 1.9 NGC 6171 1.82e+05 1.01e+00 1.51 25.0 17.2 6.6 5.6 NGC 6205 7.75e+05 1.75e+00 1.51 39.1 26.9 10.3 8.8 NGC 6229 4.34e+05 1.16e+00 1.61 34.2 22.8 8.8 7.5 NGC 6218 2.17e+05 1.03e+00 1.39 28.5 20.2 7.7 6.6 NGC 6235 7.33e+04 1.05e+00 1.33 16.8 12.0 4.6 4.0 NGC 6254 2.52e+05 1.10e+00 1.40 29.5 20.8 7.9 6.8 NGC 6256 6.56e+04 3.84e-02 2.50 34.0 15.0 7.3 5.2 Pal 15 4.03e+04 1.62e+01 0.60 4.3 3.4 1.5 1.2 NGC 6266 1.22e+06 3.61e-01 1.70 97.8 63.3 24.8 20.9 NGC 6273 1.10e+06 1.09e+00 1.53 58.4 39.9 15.3 13.1 NGC 6284 3.61e+05 2.99e-01 2.50 28.6 12.6 6.2 4.4 NGC 6287 1.88e+05 6.43e-01 1.60 30.4 20.3 7.9 6.7 NGC 6293 3.29e+05 1.28e-01 2.50 41.7 18.4 9.0 6.4 NGC 6304 2.17e+05 3.73e-01 1.80 38.4 23.8 9.6 7.9 NGC 6316 5.61e+05 5.44e-01 1.55 58.5 39.7 15.3 13.0 NGC 6341 4.89e+05 5.49e-01 1.81 47.1 29.2 11.7 9.7 NGC 6325 2.23e+05 8.38e-02 2.50 42.5 18.7 9.2 6.5 NGC 6333 4.22e+05 1.38e+00 1.15 37.7 27.8 10.8 9.2 NGC 6342 9.66e+04 1.25e-01 2.50 22.9 10.1 4.9 3.5 NGC 6356 6.56e+05 1.02e+00 1.54 46.5 31.7 12.2 10.4 NGC 6355 2.52e+05 1.05e-01 2.50 40.3 17.8 8.7 6.2 NGC 6352 1.00e+05 1.38e+00 1.10 18.8 14.0 5.4 4.7 Terzan 2 3.29e+04 7.59e-02 2.50 17.1 7.5 3.7 2.6 NGC 6366 5.21e+04 1.92e+00 0.92 12.3 9.4 3.8 3.2 HP 1 9.57e+04 6.46e-02 2.50 31.7 14.0 6.8 4.9 NGC 6362 1.71e+05 3.11e+00 1.10 16.3 12.1 4.7 4.0 Liller 1 2.89e+05 1.83e-01 2.30 41.2 19.5 9.3 6.8 NGC 6380 2.47e+05 1.06e+00 1.55 27.8 18.9 7.3 6.2 Terzan 1 5.36e+03 7.21e-02 2.50 7.1 3.1 1.5 1.1 Ton 2 7.33e+04 1.27e+00 1.30 15.4 11.1 4.3 3.7 NGC 6388 2.17e+06 4.01e-01 1.70 124.0 80.2 31.5 26.4 NGC 6402 1.04e+06 2.15e+00 1.60 39.1 26.2 10.1 8.6 NGC 6401 2.86e+05 5.60e-01 1.69 38.3 24.9 9.7 8.2 NGC 6397 1.15e+05 3.35e-02 2.50 48.3 21.3 10.4 7.4 Pal 6 2.28e+05 1.40e+00 1.10 28.0 20.9 8.1 7.0 NGC 6426 1.17e+05 1.54e+00 1.70 14.7 9.5 3.7 3.1 Djorg 1 9.31e+04 1.28e+00 1.50 15.9 11.0 4.2 3.6 Terzan 5 3.74e+05 3.98e-01 1.74 50.5 32.2 12.7 10.6 NGC 6440 8.11e+05 3.18e-01 1.70 85.2 55.1 21.6 18.2 NGC 6441 1.57e+06 3.58e-01 1.85 102.0 62.0 25.2 20.6 Terzan 6 3.00e+05 1.38e-01 2.50 38.3 16.9 8.3 5.9 NGC 6453 1.69e+05 2.28e-01 2.50 22.4 9.9 4.8 3.4 UKS 1 1.45e+05 3.62e-01 2.10 25.4 13.4 6.0 4.6 NGC 6496 2.00e+05 3.51e+00 0.70 19.7 15.3 6.5 5.4 Terzan 9 9.57e+03 6.72e-02 2.50 9.8 4.3 2.1 1.5 Djorg 2 1.59e+05 6.43e-01 1.50 29.3 20.2 7.7 6.6 NGC 6517 5.26e+05 1.88e-01 1.82 82.9 51.1 20.6 17.0 NGC 6522 3.00e+05 1.13e-01 2.50 42.3 18.6 9.1 6.5 NGC 6535 2.00e+04 8.19e-01 1.30 10.0 7.2 2.8 2.4 NGC 6528 1.52e+05 2.38e-01 2.29 26.4 12.6 6.0 4.4 NGC 6539 5.36e+05 1.32e+00 1.60 35.8 24.0 9.3 7.9 NGC 6540 3.64e+04 3.23e-02 2.50 27.6 12.2 6.0 4.2 NGC 6544 1.08e+05 3.78e-02 1.63 93.5 62.0 24.0 20.4 NGC 6541 5.72e+05 6.11e-01 2.00 42.2 23.7 10.1 8.0 NGC 6553 4.03e+05 8.96e-01 1.17 45.4 33.4 12.9 11.1 NGC 6558 9.84e+04 6.46e-02 2.50 32.1 14.2 6.9 4.9 IC 1276 1.19e+05 1.70e+00 1.29 17.1 12.4 4.7 4.1 Terzan12 1.16e+04 1.16e+00 0.57 8.9 7.0 3.0 2.5 NGC 6569 3.64e+05 9.36e-01 1.27 40.6 29.4 11.3 9.7 NGC 6584 3.03e+05 2.30e+00 1.20 24.3 17.8 6.9 5.9 NGC 6624 2.57e+05 1.40e-01 2.50 35.3 15.5 7.6 5.4 NGC 6626 5.51e+05 3.98e-01 1.67 63.8 41.7 16.3 13.7 NGC 6638 1.38e+05 6.35e-01 1.40 28.8 20.3 7.8 6.7 NGC 6637 2.61e+05 8.51e-01 1.39 34.3 24.3 9.3 8.0 NGC 6642 1.09e+05 2.24e-01 1.99 30.7 17.3 7.4 5.8 NGC 6652 1.09e+05 1.95e-01 1.80 37.5 23.3 9.3 7.7 NGC 6656 6.44e+05 1.32e+00 1.31 44.7 32.2 12.3 10.6 Pal 8 4.14e+04 1.50e+00 1.53 9.7 6.6 2.5 2.2 NGC 6681 1.79e+05 7.85e-02 2.50 39.3 17.3 8.5 6.0 NGC 6712 2.57e+05 1.89e+00 0.90 27.7 21.2 8.6 7.2 NGC 6715 2.59e+06 8.70e-01 1.84 84.5 51.6 20.9 17.2 NGC 6717 4.75e+04 1.72e-01 2.07 21.6 11.7 5.1 4.0 NGC 6723 3.57e+05 2.41e+00 1.05 27.3 20.5 8.0 6.9 NGC 6749 1.23e+05 1.77e+00 0.83 20.4 15.7 6.4 5.4 NGC 6752 3.17e+05 1.98e-01 2.50 32.9 14.5 7.1 5.1 NGC 6760 3.57e+05 7.10e-01 1.59 40.1 26.9 10.4 8.8 NGC 6779 2.30e+05 1.09e+00 1.37 28.7 20.4 7.8 6.7 Terzan 7 2.69e+04 4.12e+00 1.08 5.7 4.2 1.7 1.4 Pal 10 5.31e+04 1.39e+00 0.58 17.2 13.6 5.9 4.9 Arp 2 3.35e+04 1.32e+01 0.90 3.8 2.9 1.2 1.0 NGC 6809 2.69e+05 4.45e+00 0.76 19.7 15.2 6.3 5.3 Terzan 8 2.69e+04 7.56e+00 0.60 5.2 4.1 1.8 1.5 Pal 11 1.36e+05 7.50e+00 0.69 11.1 8.7 3.7 3.1 NGC 6838 4.30e+04 7.15e-01 1.15 16.7 12.4 4.8 4.1 NGC 6864 5.61e+05 5.47e-01 1.88 48.3 28.9 11.9 9.7 NGC 6934 2.95e+05 1.27e+00 1.53 28.1 19.2 7.4 6.3 NGC 6981 1.68e+05 2.67e+00 1.23 16.6 12.1 4.6 4.0 NGC 7006 3.03e+05 2.90e+00 1.42 19.8 13.9 5.3 4.5 NGC 7078 1.19e+06 2.10e-01 2.50 62.1 27.4 13.4 9.5 NGC 7089 1.04e+06 1.14e+00 1.80 48.1 29.9 12.0 9.9 NGC 7099 2.41e+05 1.40e-01 2.50 34.1 15.0 7.4 5.2 Pal 12 1.59e+04 1.11e+00 1.94 5.5 3.2 1.3 1.1 Pal 13 6.50e+03 3.76e+00 0.66 3.5 2.7 1.2 1.0 NGC 7492 5.21e+04 6.23e+00 1.00 6.6 5.0 2.0 1.7