# Table 2 # Model Sb-ii: Single redshift of formation at z=4, constant initial half-mass # density and constant half-mass density as a function of time # # Columns are: # (1) Redshift of formation # (2) Present cluster mass in log10 solar masses # (3) Initial cluster mass in # (4) Present half-mass radius of the cluster in pc # (5) Initial half-mass radius # (6) Present distance to the center of the main galaxy in kpc # (7) Initial distance to the center of the main galaxy # (8) Mass of the host galaxy at the time of cluster formation in log10 solar masses # (9) x-coordinate of the cluster with respect to the main galaxy in kpc # (10) y-coordinate of the cluster with respect to the main galaxy in kpc # (11) z-coordinate of the cluster with respect to the main galaxy in kpc # (12) vx-velocity of the cluster in km/s # (13) vy-velocity of the cluster in km/s # (14) vz velocity of the cluster in km/s # # (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) (13) (14) 4.0 5.72 6.10 2.5 3.4 4.2 0.7 10.9 3.8 1.6 -0.6 25.4 -12.3 -28.5 4.0 5.34 5.91 1.9 2.9 6.4 1.1 10.9 0.4 2.9 5.7 28.5 144.7 21.7 4.0 3.99 5.72 0.7 2.5 1.4 1.2 10.9 -1.1 -0.5 0.7 -57.5 4.0 18.6 4.0 5.15 5.87 1.6 2.8 1.4 1.5 10.9 -0.8 0.1 -1.1 -23.1 -112.9 -26.8 4.0 6.18 6.43 3.6 4.3 0.4 1.8 10.9 0.4 -0.1 -0.0 110.2 3.7 94.9 4.0 7.63 7.80 10.9 12.4 4.9 2.1 10.9 4.7 -1.0 0.4 28.9 -94.9 -62.1 4.0 4.65 5.75 1.1 2.6 3.9 2.3 10.9 -1.3 3.5 -1.1 31.1 -63.9 -79.8 4.0 4.78 5.78 1.2 2.6 1.7 2.9 10.9 0.8 -1.4 -0.5 -60.1 -19.1 77.7 4.0 6.00 6.29 3.1 3.9 23.8 4.2 10.9 18.5 9.5 11.4 -121.4 10.2 86.5 4.0 5.86 6.19 2.8 3.6 56.6 4.7 10.9 36.2 29.3 32.1 -71.8 11.5 -116.6 4.0 5.45 5.97 2.0 3.0 94.9 6.0 10.9 65.0 62.5 -29.7 83.4 78.2 127.1 4.0 5.09 5.82 1.5 2.7 13.9 6.5 10.9 -10.0 -3.5 -8.9 17.7 -70.3 53.6 4.0 5.56 6.03 2.2 3.2 18.2 7.5 10.9 17.3 4.4 3.8 37.0 87.4 -33.5 4.0 6.33 6.39 4.0 4.2 111.0 359.3 10.6 -31.7 103.9 22.7 -158.8 -169.7 -246.2 4.0 5.15 5.71 1.6 2.5 186.4 195.9 10.6 -56.0 177.5 -8.9 196.3 5.3 143.7 4.0 6.45 6.66 4.4 5.1 331.7 194.3 10.6 220.4 -167.1 183.1 40.1 -119.8 28.2 4.0 4.07 5.66 0.7 2.4 256.1 195.1 10.4 201.8 -126.1 94.6 65.6 24.9 32.0 4.0 2.94 5.58 0.3 2.2 41.1 195.5 10.4 -11.0 -22.4 32.7 -201.1 -8.9 -140.3 4.0 5.35 5.86 1.9 2.8 24.7 195.4 10.4 -17.8 -1.4 17.1 -64.5 141.1 -174.5 4.0 5.03 5.74 1.5 2.5 70.8 195.8 10.4 27.7 -56.1 33.2 -15.8 -74.4 6.9 4.0 5.61 6.01 2.3 3.1 161.4 194.3 10.4 115.7 79.3 79.9 -19.4 -1.6 30.2 4.0 6.13 6.38 3.4 4.2 100.5 127.6 10.2 63.3 -69.4 35.7 -161.4 62.3 -53.4 4.0 5.92 6.22 2.9 3.7 98.3 166.2 10.2 -67.1 71.1 -9.8 62.5 -11.2 -120.5 4.0 4.78 5.67 1.2 2.4 174.9 240.7 9.9 -35.6 140.1 98.5 1.1 -71.3 85.3 4.0 5.98 6.24 3.1 3.7 396.4 299.6 9.8 212.8 237.8 -235.3 1.9 16.9 -12.3 4.0 6.45 6.50 4.4 4.5 120.4 352.0 9.6 -55.9 40.3 -98.8 105.2 -205.4 153.6 4.0 5.29 5.70 1.8 2.5 169.7 352.0 9.6 -68.3 103.2 -116.1 84.0 -127.8 86.5 4.0 4.47 5.52 1.0 2.2 177.0 352.3 9.6 -43.1 113.0 -129.3 75.8 -181.6 104.4 4.0 5.11 5.68 1.6 2.4 329.4 390.5 9.7 -279.5 47.7 167.7 96.4 -59.4 -48.1 4.0 5.72 5.94 2.5 3.0 337.6 389.0 9.6 -114.4 109.0 298.4 -45.7 -98.5 -104.6 4.0 5.59 5.85 2.3 2.8 194.2 367.5 9.4 -4.1 -161.0 -108.5 -46.4 179.1 76.3 4.0 5.35 5.80 1.9 2.7 67.2 349.2 9.5 -53.7 33.2 22.8 -245.0 189.0 149.8 4.0 5.64 6.04 2.4 3.2 219.9 165.2 10.1 15.4 -76.2 -205.6 -104.5 -103.2 -30.7 4.0 5.10 5.71 1.5 2.5 200.7 203.0 9.0 123.8 58.3 146.8 107.2 95.3 -154.7 4.0 6.07 6.34 3.3 4.0 98.3 113.5 10.3 45.9 50.7 70.7 -151.4 3.1 153.2 4.0 4.58 5.56 1.0 2.2 213.1 243.3 9.2 40.7 14.2 -208.7 34.9 -31.7 192.2 4.0 6.26 6.50 3.8 4.6 169.7 118.2 10.3 92.6 -49.0 133.4 45.9 122.3 -3.2 4.0 4.55 5.70 1.0 2.5 89.8 119.2 10.3 -30.0 25.7 80.6 142.8 81.4 -120.0 4.0 5.70 6.06 2.5 3.2 91.7 176.3 8.8 -49.7 -74.6 19.2 144.5 19.4 -51.0 4.0 5.22 5.77 1.7 2.6 327.2 252.3 8.7 -239.5 -220.0 -36.2 79.9 -39.5 59.6 4.0 4.30 5.67 0.8 2.4 119.5 157.6 10.0 -9.9 -47.9 109.1 -6.1 -81.0 166.7 4.0 6.27 6.50 3.8 4.6 149.5 159.9 10.0 -25.0 141.2 -42.3 26.6 -52.6 -3.1 4.0 5.41 5.95 2.0 3.0 182.3 40.1 10.3 -95.0 -155.2 10.2 -28.8 -19.7 132.9 4.0 5.80 6.15 2.7 3.5 214.9 82.3 9.9 -41.3 -190.4 90.6 32.2 10.9 100.4 4.0 5.62 6.04 2.3 3.2 130.5 70.2 8.4 -100.7 30.2 -77.3 -178.7 3.1 -68.4 4.0 3.58 5.69 0.5 2.4 119.7 40.7 9.7 22.3 -63.1 99.2 -20.2 -92.6 31.5 4.0 4.70 5.71 1.1 2.5 54.5 160.8 8.2 -38.3 32.1 21.6 -223.6 225.6 -59.5 4.0 5.62 6.05 2.3 3.2 241.2 44.5 9.0 -233.1 -23.8 -57.3 -51.9 3.4 8.6 4.0 6.60 6.79 4.9 5.7 258.2 47.6 10.6 211.3 -146.5 24.1 27.2 -162.2 -54.4 4.0 5.32 5.90 1.8 2.9 32.7 51.4 10.6 12.7 -4.2 -29.8 -170.5 -105.5 90.2 4.0 4.66 5.75 1.1 2.6 94.4 53.2 10.6 30.6 86.5 22.4 297.0 7.7 -6.3 4.0 5.38 5.88 1.9 2.8 120.4 185.6 9.0 69.2 61.0 -77.4 -30.4 -153.9 -109.3 4.0 5.47 5.96 2.1 3.0 414.3 103.4 10.7 -171.7 -301.8 225.9 -2.7 -30.5 43.0 4.0 6.84 7.04 5.9 6.9 382.9 103.7 10.7 -162.4 -224.8 264.1 7.6 -8.9 42.6 4.0 3.22 5.67 0.4 2.4 25.4 104.4 10.7 19.6 15.1 -5.7 -32.2 -116.9 156.4 4.0 5.18 5.79 1.7 2.6 131.2 105.7 10.7 35.1 42.5 -119.1 -171.1 -152.4 -40.8 4.0 5.12 5.79 1.6 2.6 11.2 193.8 11.3 -3.1 -8.3 -6.9 -265.5 141.5 161.6 4.0 7.09 7.27 7.2 8.2 40.2 194.6 11.3 -15.4 -33.6 -15.8 -208.8 40.5 -110.7 4.0 4.76 5.71 1.2 2.5 37.6 194.5 11.3 -23.3 -18.9 -22.7 -37.3 37.5 -13.9 4.0 5.58 5.99 2.2 3.1 25.0 194.4 11.3 -2.8 -19.2 -15.8 -20.9 94.4 23.5 4.0 3.95 5.65 0.6 2.4 16.4 194.8 11.3 7.0 -4.3 -14.2 58.7 19.4 -63.9 4.0 5.82 6.15 2.7 3.5 16.5 193.6 11.3 -13.5 0.0 9.6 -57.2 -42.9 130.1 4.0 5.35 5.88 1.9 2.8 25.5 192.8 11.3 -11.2 -21.5 -7.9 -170.2 74.2 148.7 4.0 5.82 6.17 2.7 3.5 35.6 97.9 11.3 -6.8 32.6 12.7 55.2 57.9 -35.6 4.0 3.73 5.70 0.5 2.5 72.4 98.1 11.3 -52.9 -43.4 23.6 0.3 36.2 154.8 4.0 7.35 7.51 8.8 9.9 417.5 97.9 11.3 302.4 199.5 207.4 -90.0 -27.1 -153.7 4.0 5.65 5.95 2.4 3.0 189.9 98.3 11.3 47.7 182.1 -25.1 -208.8 -136.5 -114.3 4.0 4.01 5.57 0.7 2.2 230.1 172.1 7.9 206.9 100.4 -6.0 -147.2 -76.3 -38.1 4.0 7.49 7.66 9.7 11.1 32.1 76.5 11.2 4.7 -18.2 26.0 -189.7 -156.0 -138.7 4.0 5.37 5.92 1.9 2.9 21.5 76.4 11.2 -13.9 16.0 3.7 223.0 82.6 -178.0 4.0 5.73 6.10 2.5 3.3 24.1 76.0 11.2 -1.1 -2.6 23.9 -110.5 315.1 -41.5 4.0 5.55 6.00 2.2 3.1 19.6 75.9 11.2 12.7 14.3 -4.1 12.5 -241.6 -221.0 4.0 5.30 5.85 1.8 2.8 161.0 76.7 11.2 -42.9 -132.4 -80.9 157.2 -104.5 111.5 4.0 4.69 5.74 1.1 2.5 89.8 77.6 11.2 70.7 -37.1 41.0 -90.4 148.0 42.9 4.0 5.91 6.23 2.9 3.7 196.6 75.9 11.2 3.0 -144.4 -133.4 183.4 -2.4 -21.7 4.0 4.92 5.79 1.4 2.6 44.8 74.3 11.2 -20.3 -8.4 -39.1 -337.0 -93.4 129.9 4.0 4.13 5.69 0.7 2.4 35.3 78.0 11.2 -21.1 11.2 26.0 139.3 -65.6 -242.4 4.0 6.17 6.43 3.5 4.3 23.5 71.6 11.2 21.5 -1.2 -9.4 -66.4 -213.5 144.5 4.0 5.15 5.84 1.6 2.7 71.8 77.6 11.4 -11.7 -50.8 -49.4 -88.3 43.8 -13.2 4.0 4.60 5.74 1.1 2.5 115.9 78.3 11.4 -8.2 -32.3 111.0 -48.6 104.8 39.3 4.0 6.08 6.35 3.3 4.1 81.1 78.2 11.4 -50.7 17.6 -60.8 -32.4 16.8 -134.3 4.0 5.01 5.81 1.5 2.7 166.7 78.8 11.4 29.1 -10.9 163.8 133.7 136.6 78.1 4.0 4.20 5.71 0.8 2.5 129.5 78.6 11.4 120.7 -5.1 46.7 165.4 168.7 40.2 4.0 3.25 5.69 0.4 2.4 172.9 78.0 11.4 120.1 77.5 97.4 -60.0 32.4 -55.4 4.0 5.50 5.97 2.1 3.0 38.5 79.2 11.4 -21.9 -30.4 8.8 169.1 128.4 -60.8 4.0 4.91 5.77 1.3 2.6 215.3 78.7 11.4 193.8 -30.1 88.7 -18.7 68.6 -26.5 4.0 5.71 6.09 2.5 3.3 48.2 77.0 11.4 45.1 -16.7 -2.7 -256.7 55.3 -112.4 4.0 5.59 6.03 2.3 3.2 57.1 80.0 11.4 46.5 -24.5 22.3 177.8 -74.5 125.8 4.0 5.25 5.88 1.7 2.8 100.3 75.4 11.4 -52.2 -36.7 77.4 53.3 76.0 254.9 4.0 5.93 6.25 2.9 3.7 2.9 74.7 11.4 1.6 -1.0 -2.3 -26.0 36.1 74.9 4.0 7.74 7.92 11.8 13.5 14.9 77.9 11.4 12.3 8.2 -0.7 -9.3 337.2 -55.5 4.0 5.40 5.92 2.0 2.9 50.9 73.5 11.4 -18.4 18.3 43.8 48.4 88.1 -237.0 4.0 5.81 6.16 2.7 3.5 167.7 81.8 11.4 -50.3 19.7 158.8 68.4 67.3 105.8 4.0 3.89 5.79 0.6 2.6 14.7 20.5 9.5 2.3 1.4 -14.4 13.0 44.0 264.4 4.0 5.85 6.18 2.8 3.6 270.7 66.2 7.9 -148.0 -191.8 -120.9 69.4 -32.3 20.1 4.0 5.21 5.88 1.7 2.8 8.5 19.7 9.5 6.8 -1.3 -5.0 157.8 -250.9 -142.0 4.0 6.03 6.33 3.2 4.0 2.2 15.9 9.8 0.7 -2.0 0.4 50.4 -86.4 54.0