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Table 1

Empirical relations for the Fourier phases, ϕk1(RV), and amplitude ratios, Rk1(RV), as functions of the pulsation period, P, or LC Fourier parameters, R21 and R31.

Fourier phase relations RMS χr2Mathematical equation: $\chi _r^2$
ϕ21(RV) = (3.849 × 10−5 ± 1.056 × 10−5) · P(4.853±0.139) + (2.996 ± 0.005) 0.050 16.89
ϕ31(RV) = (0.363 ± 0.003) · P + (−1.809 ± 0.017) 0.193 54.60
ϕ41(RV) = (0.436 ± 0.007) · P + (1.046 ± 0.038) 0.255 16.51
ϕ51(RV) = (0.002 ± 0.001) · P3.534±0.259 + (5.733 ± 0.066) 0.301 8.28
ϕ61(RV) = (0.0017 ± 0.0012) · P(3.863±0.361) + (2.363 ± 0.115) 0.392 8.19
ϕ71(RV) = (0.0010 ± 0.0011) · P(4.242±0.549) + (−0.718 ± 0.186) 0.462 4.15

Amplitude relations RMS χr2Mathematical equation: $\chi _r^2$

A1(RV) = (42.151 ± 2.307) · R21(LC) + (−0.638 ± 0.834) 0.742 km/s 7.34
A1(RV) = (44.936 ± 2.813) · R31(LC) + (8.865 ± 0.376) 0.815 km/s 9.31
A1(RV) = (28.839 ± 3.078) · R21(LC) + (14.112 ± 3.051) · R31(LC) + (2.351 ± 0.821) 0.577 km/s 6.90
R21(RV)/R21(LC) = (1.075 × 10−4 ± 5.892 × 10−5) · P4.373±0.281 + (0.888 ± 0.011) 0.048 3.66
R31(RV)/R31(LC) = (0.370 ± 0.009) · P + (−0.534 ± 0.043) 0.374 5.34
R41(RV) = (0.773 ± 0.045) · R21(LC) + (−0.196 ± 0.017) 0.014 3.97
R51(RV) = (0.452 ± 0.028) · R21(LC) + (−0.120 ± 0.010) 0.010 2.88
R61(RV) = (0.341 ± 0.024) · R21(LC) + (−0.099 ± 0.009) 0.007 1.75
R71(RV) = (0.204 ± 0.019) · R21(LC) + (−0.061 ± 0.007) 0.004 1.10

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