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Table 2

Results for synthetic data generated from Eq. (17), for the massive disk configuration (top), and for the massive black hole configuration (bottom).

Massive disk configuration (q = 4)
σ 0.03 0.05 0.1 comments

δ 1.79 1.67 1.24 linear approach
2.74 2.62 2.19 (s =  −1)
2.89 3.11 3.91
δ 0.33 0.61 1.57 non-linear
0.68 0.42  −0.49 approach
4.43 4.75 5.89 (with s =  −1.5)
δ 0.32 0.83 no solution non-linear
1.31 0.20 approach
3.88 4.95
s  −1.41  −1.52

Massive black hole configuration ()
σ 0.03 0.05 0.1 comments

δ 0.34 0.46 1.44 linear approach
4.28 4.06 3.38 (s =  −1)
0.96 1.31 2.39
δ 0.49 1.03 2.70 non-linear
3.59 3.13 1.71 approach
1.48 2.01 3.64 (with s =  −1.5)
δ 0.20 4.52 no solution non-linear
4.07  −0.45 approach
1.09 5.46
s  −1.24  −1.83

Notes. Values in bold correspond to the best approach.

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