Table C.1
Overview of the test results using different merit functions (Col. 2).
| ID | Merit function | C | Multiplicity properties | ||
| (km s-1) | f bin | π | κ | ||
|
|
|||||
( ) |
(πtrue = −0.5) | (κtrue = 0.0) | |||
| (a) | PKS(ΔHJD) | 0.0 | 0.22 [0.22:0.22] | −2.50 [−2.50:−2.50] | −2.50 [−2.50:−2.50] |
| (b) | PKS(ΔRV) | 0.0 | 0.48 [0.46:0.54] | −0.50 [−1.15:−0.10] | −0.10 [−1.15:+1.55] |
| (c) | PKS(Δχ2) | 0.0 | 0.50 [0.44:0.54] | −0.35 [−1.80:−0.05] | +0.15 [−1.85:+1.50] |
|
|
|||||
| (d) | (ΔHJD) × (ΔRV) | 0.0 | 0.26 [0.20:0.34] | −0.65 [−0.85:−0.50] | +1.55 [−0.15:+2.40] |
| (e) | (ΔHJD) × (χ2) | 0.0 | 0.26 [0.20:0.42] | −0.65 [−1.30:+0.00] | −0.35 [−1.25:+1.70] |
| (f) | (ΔHJD) × (Bin) | 0.0 | 0.28 [0.20:0.44] | −1.10 [−2.35:+0.00] | −1.15 [−1.95:+2.05] |
| (g) | (ΔRV) × (Bin) | 0.0 | 0.40 [0.38:0.46] | −2.30 [−2.45:−1.85] | −0.55 [−1.80:+1.75] |
| (h) | (χ2) × (Bin) | 0.0 | 0.48 [0.46:0.54] | −0.50 [−1.15:−0.10] | −0.10 [−1.15:+1.55] |
|
|
|||||
| (i) | (ΔHJD) × (ΔRV) × (Bin) | 0.0 | 0.50 [0.44:0.54] | −0.35 [−1.80:−0.05] | +0.15 [−1.85:+1.50] |
| (j) | (ΔHJD) × (χ2) × (Bin) | 0.0 | 0.40 [0.38:0.46] | −2.30 [−2.45:−1.85] | −0.55 [−1.80:+1.75] |
| (k) | (ΔHJD) × (ΔRV) × (χ2) × (Bin) | 0.0 | 0.48 [0.46:0.54] | −0.45 [−1.20:+0.05] | −0.10 [−1.00:+1.80] |
|
|
|||||
| (l) | PKS(ΔHJD) | 20.0 | 0.50 [0.44:0.52] | −0.40 [−1.55:+0.00] | +0.00 [−1.65:+1.85] |
| (m) | PKS(ΔRV) | 20.0 | 0.28 [0.20:0.52] | −0.75 [−1.00:−0.50] | −0.55 [−0.80:−0.20] |
| (n) | PKS(Δχ2) | 20.0 | 0.24 [0.22:0.36] | −0.75 [−1.00:−0.55] | −0.55 [−0.95:+0.05] |
| (o) | B(Nobs,N,fsim) | 20.0 | 0.46 [0.42:0.50] | −0.65 [−0.85:−0.50] | +1.80 [+0.55:+2.30] |
|
|
|||||
| (p) | (ΔHJD) × (ΔRV) | 20.0 | 0.48 [0.46:0.54] | −0.50 [−1.30:+0.05] | −0.10 [−1.25:+2.05] |
| (q) | (ΔHJD) × (χ2) | 20.0 | 0.48 [0.42:0.52] | −0.90 [−2.15:−0.10] | −0.65 [−1.90:+1.65] |
| (r) | (ΔHJD) × (Bin) | 20.0 | 0.48 [0.46:0.54] | −0.45 [−1.20:+0.05] | −0.10 [−1.00:+1.80] |
| (s) | (ΔRV) × (Bin) | 20.0 | 0.50 [0.44:0.52] | −0.40 [−1.55:+0.00] | +0.00 [−1.65:+1.85] |
| (t) | (χ2) × (Bin) | 20.0 | 0.50 [0.46:0.54] | −0.25 [−1.30:−0.05] | +0.25 [−1.20:+1.75] |
|
|
|||||
| (u) | (ΔHJD) × (ΔRV) × (Bin) | 20.0 | 0.48 [0.44:0.54] | −0.75 [−1.05:−0.55] | −0.60 [−0.80:−0.15] |
| (v) | (ΔHJD) × (χ2) × (Bin) | 20.0 | 0.48 [0.44:0.54] | −0.80 [−1.00:−0.55] | −0.60 [−1.10:+0.05] |
| (w) | (ΔHJD) × (ΔRV) × (χ2) × (Bin) | 20.0 | 0.48 [0.44:0.54] | −0.80 [−1.00:−0.55] | −0.65 [−0.80:−0.15] |
| () |
(πtrue = −0.5) | (κtrue = −0.9) | |||
| (a) | PKS(ΔHJD) | 0.0 | 0.40 [0.40:0.40] | −1.50 [−1.50:−1.50] | −2.00 [−2.00:−2.00] |
| (b) | PKS(ΔRV) | 0.0 | 0.50 [0.44:0.58] | −0.55 [−1.15:+0.05] | −0.70 [−1.60:+0.10] |
| (c) | PKS(Δχ2) | 0.0 | 0.50 [0.44:0.56] | −0.45 [−1.10:−0.05] | −0.80 [−1.50:+0.10] |
|
|
|||||
| (d) | (ΔHJD) × (ΔRV) | 0.0 | 0.50 [0.44:0.58] | −0.55 [−1.15:+0.05] | −0.70 [−1.60:+0.10] |
| (e) | (ΔHJD) × (χ2) | 0.0 | 0.50 [0.44:0.56] | −0.45 [−1.10:−0.05] | −0.80 [−1.50:+0.10] |
| (f) | (ΔHJD) × (Bin) | 0.0 | 0.48 [0.42:0.62] | −0.60 [−1.15:+0.00] | −0.70 [−1.70:+0.10] |
| (g) | (ΔRV) × (Bin) | 0.0 | 0.50 [0.44:0.56] | −0.45 [−1.15:+0.05] | −0.70 [−1.60:+0.20] |
| (h) | (χ2) × (Bin) | 0.0 | 0.48 [0.44:0.54] | −0.45 [−1.20:−0.05] | −0.70 [−1.50:+0.10] |
|
|
|||||
| (i) | (ΔHJD) × (ΔRV) × (Bin) | 0.0 | 0.50 [0.44:0.56] | −0.45 [−1.15:+0.05] | −0.70 [−1.60:+0.20] |
| (j) | (ΔHJD) × (χ2) × (Bin) | 0.0 | 0.48 [0.44:0.54] | −0.45 [−1.20:−0.05] | −0.70 [−1.50:+0.10] |
| (k) | (ΔHJD) × (ΔRV) × (χ2) × (Bin) | 0.0 | 0.48 [0.44:0.54] | −0.55 [−1.25:−0.05] | −0.80 [−1.70:+0.20] |
|
|
|||||
| (l) | PKS(ΔHJD) | 20.0 | 0.48 [0.40:0.64] | −0.65 [−0.85:−0.45] | +0.10 [−0.90:+0.40] |
| (m) | PKS(ΔRV) | 20.0 | 0.56 [0.42:0.80] | −0.60 [−1.05:+0.00] | −0.90 [−1.50:+0.00] |
| (n) | PKS(Δχ2) | 20.0 | 0.50 [0.42:0.84] | −0.90 [−1.50:−0.10] | −1.50 [−2.00:−0.10] |
| (o) | B(Nobs,N,fsim) | 20.0 | 0.48 [0.42:0.62] | −0.60 [−1.15:+0.00] | −0.70 [−1.70:+0.10] |
|
|
|||||
| (p) | (ΔHJD) × (ΔRV) | 20.0 | 0.52 [0.42:0.70] | −0.80 [−1.05:−0.55] | −1.20 [−1.50:−0.80] |
| (q) | (ΔHJD) × (χ2) | 20.0 | 0.54 [0.40:0.86] | −0.80 [−1.05:−0.50] | −1.20 [−1.60:−0.70] |
| (r) | (ΔHJD) × (Bin) | 20.0 | 0.44 [0.40:0.50] | −0.65 [−0.90:−0.45] | −0.10 [−1.30:+0.30] |
| (s) | (ΔRV) × (Bin) | 20.0 | 0.48 [0.44:0.54] | −0.65 [−1.05:−0.05] | −1.00 [−1.40:+0.00] |
| (t) | (χ2) × (Bin) | 20.0 | 0.46 [0.42:0.54] | −0.95 [−1.40:+0.00] | −1.20 [−1.90:+0.20] |
|
|
|||||
| (u) | (ΔHJD) × (ΔRV) × (Bin) | 20.0 | 0.48 [0.44:0.52] | −0.80 [−1.05:−0.50] | −1.20 [−1.50:−0.80] |
| (v) | (ΔHJD) × (χ2) × (Bin) | 20.0 | 0.48 [0.42:0.52] | −0.75 [−1.05:−0.50] | −1.20 [−1.50:−0.60] |
| (w) | (ΔHJD) × (ΔRV) × (χ2) × (Bin) | 20.0 | 0.48 [0.44:0.52] | −0.80 [−1.05:−0.50] | −1.20 [−1.50:−0.80] |
Notes. The median, 0.16 and 0.74 percentiles of the retrieved parameters in a set of 50 test runs are given in Cols. 4 to 6. The input values of these parameters are indicated as the second line of the table. The explicit mathematical descriptions are given for the individual approaches (a)−(c) and (l), (m). Implicit abbreviations are used otherwise to keep the notation compact.
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