Advancing the accuracy in age determinations of old-disk stars using an oscillating red giant in an eclipsing binary

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Volume 699 (July 2025)

A&A, 699 (2025) A152

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Table D.1.

Properties of KIC 10001167 obtained from eclipsing binary analysis.

Quantity^a	JKTEBOP	PHOEBE 2^a
T_eff, RG (K)	∼	$4804_{- 29}^{+ 40}$ $4804_{-29}^{+40}$ ^b
SB-ratio, T_eff-ratio^c	$2 . 937_{- 66}^{+ 69}$ $2.937_{-66}^{+69}$ ^b	$1 . 29727_{- 46}^{+ 45}$ $1.29727_{-46}^{+45}$ ^b
Sum of the fractional radii r_MS + r_RG	$0 . 1129_{- 10}^{+ 10}$ $0.1129_{-10}^{+10}$ ^b	$0 . 11329_{- 22}^{+ 24}$ $0.11329_{-22}^{+24}$ ^b
Ratio of the radii k	$0 . 07642_{- 68}^{+ 70}$ $0.07642_{-68}^{+70}$ ^a	$0 . 07656_{- 32}^{+ 36}$ $0.07656_{-32}^{+36}$ ^b
Inclination i (°)	$87 . 66_{- 16}^{+ 17}$ $87.66_{-16}^{+17}$ ^b	$87 . 619_{- 46}^{+ 33}$ $87.619_{-46}^{+33}$ ^b
e cos ω	$- 0 . 13324_{- 18}^{+ 18}$ $-0.13324_{-18}^{+18}$ ^b	$- 0 . 133421_{- 51}^{+ 50}$ $-0.133421_{-51}^{+50}$ ^b
e sin ω	$- 0 . 0830_{- 13}^{+ 13}$ $-0.0830_{-13}^{+13}$ ^b	$- 0 . 08280_{- 82}^{+ 87}$ $-0.08280_{-82}^{+87}$ ^b
Orbital period (days)	$120 . 39005_{- 60}^{+ 58}$ $120.39005_{-60}^{+58}$ ^b	$120 . 39005_{- 22}^{+ 20}$ $120.39005_{-22}^{+20}$ ^a
Reference time t_RG (days)	$55028 . 099_{- 14}^{+ 14}$ $55028.099_{-14}^{+14}$ ^b	$55028 . 1025_{- 36}^{+ 34}$ $55028.1025_{-36}^{+34}$ ^b
RV semi-amplitude K_RG (km/s)	$24 . 983_{- 30}^{+ 29}$ $24.983_{-30}^{+29}$ ^b	$24 . 984_{- 16}^{+ 26}$ $24.984_{-16}^{+26}$
RV semi-amplitude K_MS (km/s)	$27 . 81_{- 11}^{+ 11}$ $27.81_{-11}^{+11}$ ^b	$27 . 848_{- 52}^{+ 67}$ $27.848_{-52}^{+67}$
System RV γ_RG (km/s)	$- 103 . 026_{- 21}^{+ 21}$ $-103.026_{-21}^{+21}$ ^b	$- 103 . 022_{- 19}^{+ 16}$ $-103.022_{-19}^{+16}$ ^b,^d
System RV γ_MS (km/s)	$- 102 . 672_{- 90}^{+ 88}$ $-102.672_{-90}^{+88}$ ^b	$- 102 . 724_{- 71}^{+ 68}$ $-102.724_{-71}^{+68}$ ^b,^d
Semi-major axis a(R_⊙)	$124 . 17_{- 27}^{+ 27}$ $124.17_{-27}^{+27}$	$124 . 27_{- 14}^{+ 18}$ $124.27_{-14}^{+18}$
a sin i (R_⊙)	$124 . 07_{- 27}^{+ 27}$ $124.07_{-27}^{+27}$	$124 . 16_{- 14}^{+ 18}$ $124.16_{-14}^{+18}$ ^b
Eccentricity e	$0 . 15699_{- 71}^{+ 69}$ $0.15699_{-71}^{+69}$	$0 . 15703_{- 45}^{+ 45}$ $0.15703_{-45}^{+45}$
Periastron longitude ω (°)	$211 . 93_{- 42}^{+ 39}$ $211.93_{-42}^{+39}$	$211 . 83_{- 28}^{+ 26}$ $211.83_{-28}^{+26}$
Mass-ratio q = Mass_MS/mass_RG	$0 . 8984_{- 36}^{+ 37}$ $0.8984_{-36}^{+37}$	$0 . 8971_{- 20}^{+ 20}$ $0.8971_{-20}^{+20}$ ^b
Mass_RG(M_⊙)	$0 . 9337_{- 76}^{+ 78}$ $0.9337_{-76}^{+78}$	$0 . 9362_{- 37}^{+ 50}$ $0.9362_{-37}^{+50}$
Mass_MS(M_⊙)	$0 . 8388_{- 41}^{+ 42}$ $0.8388_{-41}^{+42}$	$0 . 8401_{- 20}^{+ 29}$ $0.8401_{-20}^{+29}$
Radius_RG(R_⊙)	$13 . 03_{- 12}^{+ 12}$ $13.03_{-12}^{+12}$	$13 . 079_{- 36}^{+ 35}$ $13.079_{-36}^{+35}$
Radius_MS(R_⊙)	$0 . 995_{- 14}^{+ 15}$ $0.995_{-14}^{+15}$	$1 . 0014_{- 49}^{+ 52}$ $1.0014_{-49}^{+52}$
log g_RG (cgs)	$2 . 1786_{- 78}^{+ 77}$ $2.1786_{-78}^{+77}$	$2 . 1767_{- 24}^{+ 15}$ $2.1767_{-24}^{+15}$
log g_MS (cgs)	$4 . 366_{- 13}^{+ 13}$ $4.366_{-13}^{+13}$	$4 . 3617_{- 46}^{+ 39}$ $4.3617_{-46}^{+39}$
ρ_RG(10⁻³ρ_⊙)	$0 . 422_{- 11}^{+ 11}$ $0.422_{-11}^{+11}$	$0 . 4189_{- 28}^{+ 23}$ $0.4189_{-28}^{+23}$
ρ_MS(ρ_⊙)	$0 . 850_{- 37}^{+ 37}$ $0.850_{-37}^{+37}$	$0 . 838_{- 13}^{+ 11}$ $0.838_{-13}^{+11}$
Boosting index b_RG, Kp	∼	$5 . 04_{- 19}^{+ 30}$ $5.04_{-19}^{+30}$ ^b
ld_{h1, RG}	$0 . 669_{- 30}^{+ 29}$ $0.669_{-30}^{+29}$ ^b	∼
ld_{h2, RG}	0.4187123211	∼
ld_{h1, MS}	0.7521485458	∼
ld_{h2, MS}	0.4768031637	∼
Reduced χ²-fit	1.062	1.189
Reduced χ²-lc	1.062	1.196
Reduced χ²-rvRG	0.999	1.032
Reduced χ²-rvMS	0.763	0.831

^(a)

Notes. The quoted PHOEBE uncertainties are underestimated and should not be used for comparative work (see text).

^(b)

Free parameter during the fit/sampling.

^(c)

For JKTEBOP, this is the central surface-brightness ratio before limb darkening correction.

For PHOEBE 2, it is the effective temperature ratio.

^(d)

For PHOEBE, the system RV of the main sequence star is a derived parameter. The actual fitted parameters are: A shared system RV for the whole system, and an RV offset for the main sequence star.

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