Primordial segregation in globular clusters: The degree of mass segregation as determined through dynamical models

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Table C.1

Explored model parameters and corresponding linear fit parameters.

$Φ_{0} (M_{⊙}^{- 1})$ $Mathematical equation: ${{\rm{\Phi }}_0}\left( {{\rm{M}}_ \odot ^{ - 1}} \right)$$	α	m_max (M_⊙)	$β (M_{⊙}^{- 1})$ $Mathematical equation: $\beta \left( {{\rm{M}}_ \odot ^{ - 1}} \right)$$	$δ β (M_{⊙}^{- 1})$ $Mathematical equation: $\delta \beta \left( {{\rm{M}}_ \odot ^{ - 1}} \right)$$	q	δq	$\sum_{i} r e s_{i}$ $Mathematical equation: $\mathop \sum \limits_i re{s_i}$$
0.001	0	1	1.16×10⁻³	1.90×10⁻⁷	0.358	7.44×10⁻⁸	1.39×10⁻¹¹
0.001	-2	1	2.36×10⁻²	2.27×10⁻³	0.380	1.06×10⁻³	3.22×10⁻³
0.001	0	10	1.16×10⁻³	2.58×10⁻⁴	0.365	8.64×10⁻⁴	4.23×10⁻³
0.001	0	20	4.95×10⁻⁴	1.30×10⁻⁴	0.364	8.13×10⁻⁴	4.08×10⁻³
0.001	0	50	1.70×10⁻⁴	5.21×10⁻⁵	0.363	7.58×10⁻⁴	3.84×10⁻³
0.001	0	100	8.09×10⁻⁵	2.61×10⁻⁵	0.362	7.24×10⁻⁴	3.67×10⁻³
0.001	-2	100	7.99×10⁻⁵	2.58×10⁻⁵	0.364	7.14×10⁻⁴	3.56×10⁻³
0.01	0	1	3.65×10⁻⁴	2.45×10⁻⁵	0.359	1.14×10⁻⁵	3.75×10⁻⁷
0.01	-2	1	3.65×10⁻⁴	2.45×10⁻⁵	0.359	1.14×10⁻⁵	3.75×10⁻⁷
0.01	0	10	1.28×10⁻⁴	2.69×10⁻⁶	0.358	9.03×10⁻⁶	4.62×10⁻⁷
0.01	0	20	1.22×10⁻⁴	1.35×10⁻⁶	0.357	8.48×10⁻⁶	4.44×10⁻⁷
0.01	-2	20	1.22×10⁻⁴	1.33×10⁻⁶	0.359	8.38×10⁻⁶	4.33×10⁻⁷
0.01	0	50	1.20×10⁻⁴	5.41×10⁻⁷	0.355	7.87×10⁻⁶	4.15×10⁻⁷
0.01	0	100	1.23×10⁻⁴	3.37×10⁻⁷	0.350	9.32×10⁻⁶	6.08×10⁻⁷
0.01	-2	100	1.23×10⁻⁴	3.24×10⁻⁷	0.357	8.97×10⁻⁶	5.62×10⁻⁷
0.1	0	0.8	1.16×10⁻³	1.90×10⁻⁷	0.358	7.44×10⁻⁸	1.39×10⁻¹¹
0.1	0	1	1.16×10⁻³	1.71×10⁻⁷	0.358	7.98×10⁻⁸	1.83×10⁻¹¹
0.1	-2	1	1.16×10⁻³	1.57×10⁻⁷	0.359	7.34×10⁻⁸	1.55×10⁻¹¹
0.1	0	10	1.23×10⁻³	2.45×10⁻⁶	0.350	8.22×10⁻⁶	3.83×10⁻⁷
0.1	0	20	1.30×10⁻³	5.10×10⁻⁶	0.340	3.20×10⁻⁵	6.31×10⁻⁶
0.1	0	50	1.50×10⁻³	1.22×10⁻⁵	0.301	1.78×10⁻⁴	2.11×10⁻⁴
0.1	0	100	1.43×10⁻³	2.52×10⁻⁵	0.233	6.97×10⁻⁴	3.40×10⁻³
0.1	-2	20	1.30×10⁻³	5.16×10⁻⁶	0.354	3.24×10⁻⁵	6.46×10⁻⁶
0.1	-2	50	1.53×10⁻³	1.28×10⁻⁵	0.347	1.86×10⁻⁴	2.31×10⁻⁴
0.1	-2	100	1.72×10⁻³	1.37×10⁻⁵	0.332	3.79×10⁻⁴	1.00×10⁻³
1	0	1	1.24×10⁻²	2.27×10⁻⁵	0.350	1.06×10⁻⁵	3.22×10⁻⁷
1	-2	1	1.24×10⁻²	2.27×10⁻⁵	0.354	1.06×10⁻⁵	3.24×10⁻⁷
1	0	10	1.47×10⁻²	2.55×10⁻⁴	0.235	8.56×10⁻⁴	4.16×10⁻³
1	-2	10	1.76×10⁻²	1.34×10⁻⁴	0.320	4.51×10⁻⁴	1.15×10⁻³
1	0	20	6.47×10⁻³	1.42×10⁻⁴	0.249	8.91×10⁻⁴	4.90×10⁻³
1	-1	20	8.08×10⁻³	1.72×10⁻⁴	0.264	1.08×10⁻³	7.17×10⁻³
1	-2	20	1.40×10⁻²	1.99×10⁻⁴	0.305	1.25×10⁻³	9.66×10⁻³
1	0	100
1	-2	100
10	0	1	1.64×10⁻¹	2.47×10⁻³	0.245	1.16×10⁻³	3.83×10⁻³
10	-2	1	1.86×10⁻¹	1.15×10⁻³	0.292	5.37×10⁻⁴	8.30×10⁻⁴
10	0	1.25	1.17×10⁻¹	2.97×10⁻³	0.257	1.70×10⁻³	8.90×10⁻³
10	-2	1.25	1.82×10⁻¹	1.44×10⁻³	0.280	0.80×10⁻³	2.08×10⁻³
10	0	1.5
10	-2	1.5	1.71×10⁻¹	2.22×10⁻³	0.285	1.40×10⁻³	7.30×10⁻³

Notes. Table columns: model parameters Φ₀, mass function slope α and maximum mass m_max, linear relation parameters β and q with their respective 1σ errors and the sum of residuals as coming from the fit.

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