KIC 4150611: A quadruply eclipsing heptuple star system with a g-mode period-spacing pattern - Eclipse modelling of the triple and spectroscopic analysis

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Volume 689 (September 2024)

A&A, 689 (2024) A164

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Table 2.

Means and standard deviations for mass ratios, orbital periods, radii, inclination angles, and phases of the triple for each light fraction.

f_Aa/f_Total	0.92–0.96		0.83–0.87		Free		Units

	Mean	σ	Mean	σ	Mean	σ
$\frac{M_{Aa}}{M_{Ab 1} + M_{Ab 2}}$ $\frac{M_{\mathrm{Aa}}}{M_{\mathrm{Ab1}}+M_{\mathrm{Ab2}}}$	3.60899	0.009644	3.616071	0.011244	3.609757	0.011643	–
$\frac{M_{Ab 1}}{M_{Ab 2}}$ $\frac{M_{\mathrm{Ab1}}}{M_{\mathrm{Ab2}}}$	1.113493	0.001189	1.113638	0.001121	1.113805	0.001068	–
$\frac{a_{Aab}}{a_{Ab 1 Ab 2}}$ $\frac{a_{\mathrm{Aab}}}{a_{\mathrm{Ab1Ab2}}}$	21.8186	0.011018	21.819058	0.011902	21.814642	0.01216	–
P_Aab	94.294862	0.000079	94.29485	0.000086	94.294881	0.000088	Days
P_Ab1Ab2	1.522248	0.000001	1.522248	0.000001	1.522248	0.000001	Days
R_Aa	1.651985	0.008722	1.62128	0.009831	1.609895	0.018195	R_⊙
R_Ab1	0.421674	0.002214	0.432398	0.002659	0.432924	0.003544	R_⊙
R_Ab2	0.378438	0.002011	0.38805	0.002384	0.388529	0.003222	R_⊙
i_AaAb	0.408563	0.006962	0.362485	0.007541	0.35407	0.017894	°
i_Ab1Ab2	0.405657	0.051257	0.42117	0.059913	0.424795	0.063631	°
ϕ_Aab	4.199443	0.00002	4.199436	0.00002	4.199438	0.00002	Radians
ϕ_Ab1b2	1.532349	0.001102	1.532399	0.000987	1.532342	0.001016	Radians

Notes. We define our inclination angles with 0° being edge-on. The merit values of the converged state of all three simulations vary between 650–630, 645–625, and 645–625 for the 0.92–0.96, 0.83–0.87, and free light-fraction simulations, respectively. This implies a small statistical benefit when considering light fractions below 0.92, but no statistical benefit to the fit when considering light fractions below 0.83.

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