The effects of a background potential in star cluster evolution - A delay in the relaxation time-scale and runaway collision processes

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Table 2.

Simulations that include stellar mergers.

Number	N	M_stars [M_⊙]	M_ext/M_stars	R_v [pc]	m_star [M_⊙]	R_star [R_⊙]	[M_⊙]^(a)
1	100	10⁴	0.0	0.14	100.0	20.0	350 ± 164
2	100	10⁴	0.0	0.14	100.0	50.0	466 ± 137
3	100	10⁴	0.0	0.14	100.0	100.0	883 ± 237
4	100	10⁴	0.0	0.14	100.0	200.0	1050 ± 274
5	100	10⁴	0.0	0.14	100.0	500.0	1533 ± 413
6	100	10⁴	0.0	0.14	100.0	1000.0	2083 ± 691
7	100	10⁴	0.0	0.14	100.0	5000.0	2833 ± 516
8	500	10⁴	0.0	0.14	20.0	20.0	390 ± 55
9	500	10⁴	0.0	0.14	20.0	50.0	633 ± 120
10	500	10⁴	0.0	0.14	20.0	100.0	937 ± 184
11	500	10⁴	0.0	0.14	20.0	200.0	1390 ± 170
12	500	10⁴	0.0	0.14	20.0	500.0	2056 ± 204
13	500	10⁴	0.0	0.14	20.0	1000.0	2756 ± 463
14	500	10⁴	0.0	0.14	20.0	5000.0	3013 ± 332
15	1000	10⁴	0.0	0.14	10.0	20.0	430 ± 143
16	1000	10⁴	0.0	0.14	10.0	50.0	747 ± 173
17	1000	10⁴	0.0	0.14	10.0	100.0	1168 ± 132
18	1000	10⁴	0.0	0.14	10.0	200.0	1748 ± 188
19	1000	10⁴	0.0	0.14	10.0	500.0	2428 ± 150
20	1000	10⁴	0.0	0.14	10.0	1000.0	2980 ± 243
21	1000	10⁴	0.0	0.14	10.0	5000.0	3217 ± 162
22	5000	10⁴	0.0	0.14	2.0	20.0	421 ± 263
23	5000	10⁴	0.0	0.14	2.0	50.0	1005 ± 377
24	5000	10⁴	0.0	0.14	2.0	100.0	1520 ± 284
25	5000	10⁴	0.0	0.14	2.0	200.0	1912 ± 750
26	5000	10⁴	0.0	0.14	2.0	500.0	3223 ± 305
27	5000	10⁴	0.0	0.14	2.0	1000.0	3495 ± 146
28	5000	10⁴	0.0	0.14	2.0	5000.0	4256 ± 366
29	100	10⁴	1.0	0.14	100.0	20.0	683 ± 216
30	100	10⁴	1.0	0.14	100.0	50.0	983 ± 293
31	100	10⁴	1.0	0.14	100.0	100.0	1583 ± 581
32	100	10⁴	1.0	0.14	100.0	200.0	2183 ± 382
33	100	10⁴	1.0	0.14	100.0	500.0	2800 ± 316
34	100	10⁴	1.0	0.14	100.0	1000.0	3367 ± 619
35	100	10⁴	1.0	0.14	100.0	5000.0	3700 ± 820
36	500	10⁴	1.0	0.14	20.0	20.0	683 ± 159
37	500	10⁴	1.0	0.14	20.0	50.0	1180 ± 324
38	500	10⁴	1.0	0.14	20.0	100.0	1653 ± 279
39	500	10⁴	1.0	0.14	20.0	200.0	2287 ± 348
40	500	10⁴	1.0	0.14	20.0	500.0	3310 ± 312
41	500	10⁴	1.0	0.14	20.0	1000.0	3987 ± 208
42	500	10⁴	1.0	0.14	20.0	5000.0	4027 ± 332
43	1000	10⁴	1.0	0.14	10.0	20.0	645 ± 141
44	1000	10⁴	1.0	0.14	10.0	50.0	1343 ± 215
45	1000	10⁴	1.0	0.14	10.0	100.0	1785 ± 392
46	1000	10⁴	1.0	0.14	10.0	200.0	2502 ± 166
47	1000	10⁴	1.0	0.14	10.0	500.0	3622 ± 204
48	1000	10⁴	1.0	0.14	10.0	1000.0	4092 ± 158
49	1000	10⁴	1.0	0.14	10.0	5000.0	4317 ± 267
50	5000	10⁴	1.0	0.14	2.0	20.0	181 ± 144^(b)
51	5000	10⁴	1.0	0.14	2.0	50.0	552 ± 71
52	5000	10⁴	1.0	0.14	2.0	100.0	1497 ± 189
53	5000	10⁴	1.0	0.14	2.0	200.0	2264 ± 765
54	5000	10⁴	1.0	0.14	2.0	500.0	3630 ± 166
55	5000	10⁴	1.0	0.14	2.0	1000.0	4084 ± 213
56	5000	10⁴	1.0	0.14	2.0	5000.0	5185 ± 236

Notes. Summary of simulations that include stellar mergers showing the number of particles, the cluster mass, the ratio of external potential to cluster mass, the virial radius, the initial stellar masses, the initial stellar radii and the average mass of the most massive star at the end of the simulation.

^(a)

Value obtained as the average from 6 simulations.

^(b)

Simulation run until 5657 t_cross = 22 Myr.

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