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Table 6
Regression coefficients and model fits for P1 and P2 orbits, triples compared with binaries, for regression equations aio ∕a2, aoi∕a2 = C + b1μ1 + b2μ2 + b3e1 + b4e2 + b5i2 + b6Ω2 + b7ω2.
Parameter | Triple | Binary | ΔCoeff. | ||
---|---|---|---|---|---|
Coeff. | t | Coeff. | t | (%) | |
Inner orbits, prograde planet | |||||
C | 0.439 | 47.8 | 0.195 | 19.1 | −55 |
a | 0.000 | 0.4 | 0.000 | 47.9 | 11 |
μ1 | −0.005 | −0.4 | – | – | – |
μ2 | −0.020 | −7.1 | −0.006 | −1.8 | −68 |
e1 | −0.004 | −0.5 | – | – | – |
e2 | −0.114 | −8.9 | −0.435 | −39.4 | 283 |
i2 | 0.000 | 2.2 | – | – | – |
Ω2 | −0.001 | −6.1 | – | – | – |
ω2 | −0.001 | −6.3 | – | – | – |
R2 | 0.132 | 0.563 | |||
MAPE (%) | 19 | 11 | |||
Outer orbits, prograde planet | |||||
C | 2.376 | 195.6 | 2.719 | 84.2 | 14 |
a | −0.003 | −23.8 | 0.000 | −25.8 | −98 |
μ1 | 0.053 | 2.9 | – | – | – |
μ2 | 0.044 | 11.5 | −0.017 | −1.4 | −138 |
e1 | 0.090 | 6.8 | – | – | – |
e2 | 1.996 | 151.1 | 0.884 | 25.4 | −56 |
i2 | 0.000 | 3.1 | – | – | – |
Ω2 | −0.002 | −15.9 | – | – | – |
ω2 | −0.002 | −13.4 | – | – | – |
R2 | 0.829 | 0.893 | |||
MAPE (%) | 6 | 3 | |||
Inner orbits, retrograde planet | |||||
C | 0.572 | 76.0 | 0.211 | 14.3 | −63 |
a | 0.000 | 4.8 | 0.000 | 31.6 | −90 |
μ1 | 0.009 | 0.8 | – | – | – |
μ2 | −0.043 | −19.2 | −0.026 | −4.9 | −39 |
e1 | −0.010 | −1.4 | – | – | – |
e2 | −0.468 | −31.3 | −0.567 | −34.9 | 21 |
i2 | 0.000 | −2.8 | – | – | – |
Ω2 | 0.000 | 1.0 | – | – | – |
ω2 | 0.000 | 1.3 | – | – | – |
R2 | 0.670 | 0.444 | |||
MAPE (%) | 10 | 13 | |||
Outer orbits, retrograde planet | |||||
C | 1.482 | 153.1 | 1.235 | 141.9 | −17 |
a | −0.004 | −40.4 | 0.000 | −45.7 | −99 |
μ1 | 0.131 | 9.1 | – | – | – |
μ2 | −0.008 | −2.8 | 0.023 | 7.3 | −375 |
e1 | −0.036 | −3.5 | – | – | – |
e2 | 1.727 | 166.6 | 1.681 | 175.0 | −3 |
i2 | 0.001 | 19.6 | – | – | – |
Ω2 | 0.001 | 8.5 | – | – | – |
ω2 | 0.001 | 5.1 | – | – | – |
R2 | 0.865 | 0.921 | |||
MAPE (%) | 6 | 4 |
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