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Table 1

Parameters of planets mimicked by several triple system configurations when the instrument’s precision is 0.535 m/s and the timespan is 4000 days. Radial velocity Fourier spectrum peak has amplitude Kp and frequency np. Fake associated planet has period Tp = 2π/np, semi-major axis ap, mass Mp, and eccentricity ep.

Theory Simulations
Ex. Parameters n p Tp (d) Kp (m/s) Tp (d) Kp (m/s) ap (AU) M p e p
1 i = 0° n 8069 – 8032.8 ± 2.6 6922.0 ± 0.3 9.97 1.05   M⊙ 0.00
e = eb = 0 2   nb − 3   n 222.6 0.961 223.2 ± 0.5 0.96 ± 0.06 0.720 18.7   M ⊕  0.00
2 i = 30° n 8069 – 8037.6 ± 2.7 6916.1 ± 0.3 9.97 1.05   M⊙ 0.00
e = eb = 0 2   nb − 3   n 222.6 0.837 222.9 ± 0.6 0.83 ± 0.06 0.719 16.0   M ⊕  0.00
3 i = 60° n 8069 – 8048.3 ± 2.7 6904.5 ± 0.3 9.98 1.05   M⊙ 0.00
e = eb = 0 2   nb − 3   n 222.6 0.541 222.3 ± 0.9 0.52 ± 0.06 0.718 10.16   M ⊕  0.00
4 i = 0° n 8069 – 8035.1 ± 2.8 6958.1 ± 0.4 9.97 1.05   M⊙ 0.10
e = 0.1 2   nb − 3   n 222.6 0.869 222.6 ± 0.6 0.90 ± 0.06 0.719 17.52   M ⊕  0.00
eb = 0.1 nb − 3   n 485.5 0.585 485.4 ± 3.7 0.65 ± 0.07 1.209 16.01   M ⊕  0.00
5 i = 0° n 8069 – 8026.8 ± 2.8 6959.4 ± 0.4 9.97 1.05   M⊙ 0.10
e = 0.1 nb − 3   n 485.5 1.149 485.2 ± 1.8 1.27 ± 0.07 1.208 31.9   M ⊕  0.00
eb = 0.2 2   nb − 3   n 222.6 0.804 222.2 ± 0.6 0.84 ± 0.06 0.718 16.2   M ⊕  0.00
6 i = 0° n 8069 – 8074 ± 6 6993 ± 5 10.02 1.06   M⊙ 0.10
e = 0.1 nb − 3   n 485.5 1.673 476.8 ± 1.4 1.53 ± 0.07 1.194 38.5   M ⊕  0.00
eb = 0.3 2   nb − 3   n 222.6 0.701 222.6 ± 0.8 0.68 ± 0.06 0.719 13.36   M ⊕  0.00
7 i = 0° n 8069 – 8103 ± 6 7020 ± 6 10.06 1.07   M⊙ 0.10
e = 0.1 nb − 3   n 485.5 2.135 477.6 ± 1.1 1.98 ± 0.07 1.196 50.1   M ⊕  0.00
eb = 0.4 2   nb − 3   n 222.6 0.569 223.1 ± 0.9 0.57 ± 0.06 0.720 11.2   M ⊕  0.00
8 i = 0° n 8069 – 7928 ± 2 7550.1 ± 0.4 9.88 1.05   M⊙ 0.39
e = 0.4 2   nb − 6   n 242.7 1.104 241.1 ± 0.3 2.60 ± 0.07 0.758 51.4   M ⊕  0.12
eb = 0.05 2   nb − 8   n 258.2 0.840 253.7 ± 0.4 2.52 ± 0.07 0.784 51.1   M ⊕  0.00

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