Table 1. Overview of the 17 wBH N-body simulations of Pal 5.

The different columns present: (1) initial number of stars; (2) initial half-mass density; (3) initial mass; (4) initial half-mass radius; (5) age when the cluster had the observed number of stars (N_cluster = 1550); (6) observable number of stars at 11.5 Gyr; (7) half-light radii at 11.5 Gyr; (8) bound mass at 11.5 Gyr; (9) half-mass radius of the bound stars at 11.5 Gyr; (10) BH mass fraction at an age of 11.5 Gyr; (11) fractional difference with N_cluster; (12) fractional difference with observed R_eff = l8.7±0.4 pc; (13) overall fractional difference $\delta \text{=}\sqrt{{\delta }_N^2+{\delta }_R^2}$; (14) Model ID, sorted in level of agreement with the data with wBH-1 being the closest match.

(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)	(9)	(10)	(11)	(12)	(13)	(14)
No	ph0	M0	rho	T1550	Ncluster	Reff	M	rh	fBH	δN	δR	δ	Model
[103]	[M⊙/pc3]	[105M⊙]	[pc]	[Gyr]		[pc]	[104 M⊙]	[pc]	[%]	[%]	[%]	[%]
50	30	0.319	5.04	2.74	–	–	–	–	–	–	–	–	wBH-17
50	100	0.319	3.38	4.06	–	–	–	–	–	–	–	–	wBH-16
50	300	0.319	2.34	5.58	–	–	–	–	–	–	–	–	wBH-14
50	1000	0.319	1.57	8.34	1052	4.05	0.483	5.29	0.701	-32.1	-78.3	84.7	wBH-9
100	30	0.638	6.35	5.40	–	–	–	–	–	–	–	–	wBH-15
100	100	0.638	4.25	7.85	–	–	–	–	–	–	–	–	wBH-13
100	300	0.638	2.95	11.36	1448	9.8	0.732	12.8	3.09	-6.58	-47.6	48	wBH-5
100	1000	0.638	1.97	17.99	3541	6.26	1.84	9.04	0.321	+128	-66.5	145	wBH-10
200	30	1.28	7.98	8.12	–	–	–	–	–	–	–	–	wBH-12
200	100	1.28	5.34	11.43	1399	17.7	0.86	20	20.1	-9.74	-5.3	11.1	wBH-3
200	300	1.28	3.7	17.64	7210	11.1	4.05	14.9	2.75	+365	-40.8	367	wBH-11
210	80	1.34	5.85	11.47	1497	18.1	0.949	18.8	22.3	-3.42	-3.11	4.62	wBH-1
215	80	1.37	5.9	11.13	459	19.9	0.419	15.3	44.6	-70.4	+6.15	70.7	wBH-8
220	70	1.4	6.21	11.45	1411	18.5	0.953	19.8	21.9	-8.92	-0.948	8.97	wBH-2
220	80	1.4	5.94	11.31	791	20.8	0.604	19.4	33	-49	+11.5	50.3	wBH-6
225	70	1.44	6.26	11.29	1091	16.6	0.77	16.5	29.1	-29.6	-11.4	31.7	wBH-4
225	80	1.44	5.98	11.71	2372	16.8	1.45	19.8	15.1	+53.1	-10	54	wBH-7