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Table 14

Regression coefficients and model fits for S3 orbits, triples compared with binaries, for regression equations aioa2, aoia2 = C + b1μ1 + b2μ2 + b3e1 + b4e2 + b5i2 + b6Ω2 + b7ω2.

Parameter Triple Binary ΔCoeff.

Coeff. t Coeff. t (%)
S3 orbits, prograde planet

C 0.393 35.2 0.385 67.5 −2
a 0.000 20.4 0.000 26.6 −99
μ1 −0.075 −5.2
μ2 0.037 11.0 0.062 28.1
e1 −0.020 −1.9
e2 −0.604 −58.6 −0.585 −83.1 −3
i2 0.000 0.0
Ω2 0.000 0.3 0.000 −2.8
ω2 0.000 0.9 0.000 −0.6

R2 0.712 0.721
MAPE (%) 24.7 30.9

S3 orbits, retrograde planet

C 0.444 47.8 0.446 88.8 1
a 0.001 9.1 0.000 6.1 −100
μ1 0.001 0.1
μ2 0.113 39.0 0.114 58.3
e1 −0.011 −1.3
e2 −0.580 −64.6 −0.599 −96.7 2
i2 0.000 −0.5
Ω2 0.000 −3.4 0.000 −1.7
ω2 0.000 −4.3 0.000 −3.1

R2 0.790 0.810
MAPE (%) 16.8 22.4

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