Seven new triply eclipsing triple star systems | Astronomy & Astrophysics (A&A)

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Volume 686 (June 2024)

A&A, 686 (2024) A27

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Table 6.

Orbital and astrophysical parameters of TICs 133771812 and 176713425 from the joint photodynamical light curve, ETV, SED and PARSEC isochrone solution.

	TIC 133771812			TIC 176713425

Orbital elements
	Subsystem
	Aa–Ab		A–B	Aa–Ab		A–B
t₀ [BJD – 2 400 000]	58 491.0			58 738.5
P [days]	$12 . 33390_{- 0.00051}^{+ 0.00045}$ $12.33390_{-0.00051}^{+0.00045}$		$243 . 8900_{- 0.0059}^{+ 0.0048}$ $243.8900_{-0.0059}^{+0.0048}$	$1 . 895107_{- 0.000090}^{+ 0.000101}$ $1.895107_{-0.000090}^{+0.000101}$		$52 . 943_{- 0.017}^{+ 0.019}$ $52.943_{-0.017}^{+0.019}$
a [R_⊙]	$31 . 66_{- 0.30}^{+ 0.20}$ $31.66_{-0.30}^{+0.20}$		$262 . 0_{- 2.2}^{+ 1.6}$ $262.0_{-2.2}^{+1.6}$	$8 . 456_{- 0.069}^{+ 0.082}$ $8.456_{-0.069}^{+0.082}$		$89 . 42_{- 0.74}^{+ 0.77}$ $89.42_{-0.74}^{+0.77}$
e	$0 . 03368_{- 0.00044}^{+ 0.00043}$ $0.03368_{-0.00044}^{+0.00043}$		$0 . 2174_{- 0.0058}^{+ 0.0058}$ $0.2174_{-0.0058}^{+0.0058}$	$0 . 00592_{- 0.00056}^{+ 0.00058}$ $0.00592_{-0.00056}^{+0.00058}$		$0 . 4118_{- 0.0070}^{+ 0.0072}$ $0.4118_{-0.0070}^{+0.0072}$
ω [deg]	$230 . 39_{- 0.61}^{+ 0.55}$ $230.39_{-0.61}^{+0.55}$		$194 . 91_{- 0.81}^{+ 0.78}$ $194.91_{-0.81}^{+0.78}$	$105 . 1_{- 2.2}^{+ 2.5}$ $105.1_{-2.2}^{+2.5}$		$95 . 22_{- 0.58}^{+ 0.87}$ $95.22_{-0.58}^{+0.87}$
i [deg]	$89 . 98_{- 0.13}^{+ 0.11}$ $89.98_{-0.13}^{+0.11}$		$89 . 770_{- 0.020}^{+ 0.019}$ $89.770_{-0.020}^{+0.019}$	$88 . 56_{- 0.73}^{+ 0.66}$ $88.56_{-0.73}^{+0.66}$		$88 . 714_{- 0.089}^{+ 0.084}$ $88.714_{-0.089}^{+0.084}$
$T_{0}^{inf/sup}$ $\mathcal{T}_0^{\rm inf/sup}$ [BJD – 2 400 000]	$58 501 . 1638_{- 0.0005}^{+ 0.0004}$ $58\,501.1638_{-0.0005}^{+0.0004}$		${58 509 . 928_{- 0.010}^{+ 0.009}}^{()}$ ${58\,509.928_{-0.010}^{+0.009}}^{()}$	$58 739 . 8183_{- 0.0001}^{+ 0.0001}$ $58\,739.8183_{-0.0001}^{+0.0001}$		${58 740 . 0972_{- 0.0041}^{+ 0.0040}}^{()}$ ${58\,740.0972_{-0.0041}^{+0.0040}}^{()}$
τ [BJD – 2 400 000]	$58 499 . 8871_{- 0.0209}^{+ 0.0189}$ $58\,499.8871_{-0.0209}^{+0.0189}$		$58 320 . 200_{- 0.554}^{+ 0.583}$ $58\,320.200_{-0.554}^{+0.583}$	$58 738 . 951_{- 0.012}^{+ 0.013}$ $58\,738.951_{-0.012}^{+0.013}$		$58 687 . 448_{- 0.042}^{+ 0.054}$ $58\,687.448_{-0.042}^{+0.054}$
Ω [deg]	0.0		$- 0 . 22_{- 0.11}^{+ 0.13}$ $-0.22_{-0.11}^{+0.13}$	0.0		$0 . 62_{- 0.77}^{+ 0.96}$ $0.62_{-0.77}^{+0.96}$
i_mut [deg]	$0 . 31_{- 0.14}^{+ 0.14}$ $0.31_{-0.14}^{+0.14}$			$1 . 00_{- 0.52}^{+ 0.83}$ $1.00_{-0.52}^{+0.83}$
ϖ^dyn [deg]	$50 . 39_{- 0.61}^{+ 0.55}$ $50.39_{-0.61}^{+0.55}$		$14 . 91_{- 0.81}^{+ 0.78}$ $14.91_{-0.81}^{+0.78}$	$285 . 1_{- 2.2}^{+ 2.5}$ $285.1_{-2.2}^{+2.5}$		$275 . 22_{- 0.58}^{+ 0.87}$ $275.22_{-0.58}^{+0.87}$
i^dyn [deg]	$0 . 25_{- 0.12}^{+ 0.11}$ $0.25_{-0.12}^{+0.11}$		$0 . 06_{- 0.03}^{+ 0.03}$ $0.06_{-0.03}^{+0.03}$	$0 . 83_{- 0.43}^{+ 0.69}$ $0.83_{-0.43}^{+0.69}$		$0 . 17_{- 0.09}^{+ 0.14}$ $0.17_{-0.09}^{+0.14}$
Ω^dyn [deg]	$228_{- 14}^{+ 15}$ $228_{-14}^{+15}$		$48_{- 14}^{+ 15}$ $48_{-14}^{+15}$	$72_{- 29}^{+ 108}$ $72_{-29}^{+108}$		$252_{- 29}^{+ 108}$ $252_{-29}^{+108}$
i_inv [deg]	$89 . 81_{- 0.04}^{+ 0.03}$ $89.81_{-0.04}^{+0.03}$			$88 . 68_{- 0.11}^{+ 0.14}$ $88.68_{-0.11}^{+0.14}$
Ω_inv [deg]	$- 0 . 18_{- 0.09}^{+ 0.10}$ $-0.18_{-0.09}^{+0.10}$			$0 . 52_{- 0.64}^{+ 0.80}$ $0.52_{-0.64}^{+0.80}$

Mass ratio [q = M_sec/M_pri]	$0 . 7627_{- 0.0057}^{+ 0.0054}$ $0.7627_{-0.0057}^{+0.0054}$		$0 . 4488_{- 0.0092}^{+ 0.0099}$ $0.4488_{-0.0092}^{+0.0099}$	$0 . 9334_{- 0.0048}^{+ 0.0052}$ $0.9334_{-0.0048}^{+0.0052}$		$0 . 5150_{- 0.0041}^{+ 0.0042}$ $0.5150_{-0.0041}^{+0.0042}$
K_pri [km s⁻¹]	$56 . 23_{- 0.57}^{+ 0.50}$ $56.23_{-0.57}^{+0.50}$		$17 . 26_{- 0.31}^{+ 0.32}$ $17.26_{-0.31}^{+0.32}$	$109 . 01_{- 0.83}^{+ 0.87}$ $109.01_{-0.83}^{+0.87}$		$31 . 92_{- 0.35}^{+ 0.24}$ $31.92_{-0.35}^{+0.24}$
K_sec [km s⁻¹]	$73 . 76_{- 0.61}^{+ 0.45}$ $73.76_{-0.61}^{+0.45}$		$38 . 44_{- 0.34}^{+ 0.33}$ $38.44_{-0.34}^{+0.33}$	$116 . 67_{- 0.98}^{+ 1.31}$ $116.67_{-0.98}^{+1.31}$		$61 . 86_{- 0.53}^{+ 0.70}$ $61.86_{-0.53}^{+0.70}$

Apsidal and nodal motion related parameters

P_apse [year]	$52 . 81_{- 0.81}^{+ 0.78}$ $52.81_{-0.81}^{+0.78}$		$225 . 0_{- 1.6}^{+ 1.8}$ $225.0_{-1.6}^{+1.8}$	$7 . 09_{- 0.12}^{+ 0.13}$ $7.09_{-0.12}^{+0.13}$		$59 . 71_{- 0.85}^{+ 0.82}$ $59.71_{-0.85}^{+0.82}$
$P_{apse}^{dyn}$ $P_{\mathrm{apse}}^{\mathrm{dyn}}$ [year]	$23 . 64_{- 0.32}^{+ 0.31}$ $23.64_{-0.32}^{+0.31}$		$35 . 96_{- 0.34}^{+ 0.35}$ $35.96_{-0.34}^{+0.35}$	$4 . 15_{- 0.05}^{+ 0.05}$ $4.15_{-0.05}^{+0.05}$		$8 . 57_{- 0.10}^{+ 0.09}$ $8.57_{-0.10}^{+0.09}$
$P_{node}^{dyn}$ $P_{\mathrm{node}}^{\mathrm{dyn}}$ [year]	$42 . 81_{- 0.51}^{+ 0.51}$ $42.81_{-0.51}^{+0.51}$			$10 . 01_{- 0.11}^{+ 0.11}$ $10.01_{-0.11}^{+0.11}$
Δω_3b [arcsec cycle⁻¹]	$1850_{- 24}^{+ 25}$ $1850_{-24}^{+25}$		$24 064_{- 233}^{+ 231}$ $24\,064_{-233}^{+231}$	$1231_{- 13}^{+ 14}$ $1231_{-13}^{+14}$		$21 915_{- 239}^{+ 255}$ $21\,915_{-239}^{+255}$
Δω_GR [arcsec cycle⁻¹]	$0 . 731_{- 0.014}^{+ 0.009}$ $0.731_{-0.014}^{+0.009}$		$0 . 134_{- 0.002}^{+ 0.002}$ $0.134_{-0.002}^{+0.002}$	$2 . 207_{- 0.036}^{+ 0.043}$ $2.207_{-0.036}^{+0.043}$		$0 . 381_{- 0.007}^{+ 0.007}$ $0.381_{-0.007}^{+0.007}$
Δω_tide [arcsec cycle⁻¹]	$0 . 179_{- 0.009}^{+ 0.009}$ $0.179_{-0.009}^{+0.009}$		$0 . 00051_{- 0.00003}^{+ 0.00003}$ $0.00051_{-0.00003}^{+0.00003}$	$387_{- 17}^{+ 15}$ $387_{-17}^{+15}$		$0 . 638_{- 0.028}^{+ 0.027}$ $0.638_{-0.028}^{+0.027}$

Stellar parameters

	Aa	Ab	B	Aa	Ab	B

Relative quantities

Fractional radius [R/a]	$0 . 0491_{- 0.0005}^{+ 0.0004}$ $0.0491_{-0.0005}^{+0.0004}$	$0 . 0368_{- 0.0008}^{+ 0.0008}$ $0.0368_{-0.0008}^{+0.0008}$	$0 . 0047_{- 0.0001}^{+ 0.0002}$ $0.0047_{-0.0001}^{+0.0002}$	$0 . 2060_{- 0.0018}^{+ 0.0018}$ $0.2060_{-0.0018}^{+0.0018}$	$0 . 1525_{- 0.0025}^{+ 0.0024}$ $0.1525_{-0.0025}^{+0.0024}$	$0 . 0189_{- 0.0008}^{+ 0.0011}$ $0.0189_{-0.0008}^{+0.0011}$
Temperature relative to (T_eff)_Aa	1	$0 . 8345_{- 0.0058}^{+ 0.0049}$ $0.8345_{-0.0058}^{+0.0049}$	$0 . 8486_{- 0.0095}^{+ 0.0139}$ $0.8486_{-0.0095}^{+0.0139}$	1	$1 . 0039_{- 0.0022}^{+ 0.0041}$ $1.0039_{-0.0022}^{+0.0041}$	$1 . 0040_{- 0.0095}^{+ 0.0052}$ $1.0040_{-0.0095}^{+0.0052}$
Fractional flux [in TESS-band]	$0 . 3476_{- 0.0121}^{+ 0.0141}$ $0.3476_{-0.0121}^{+0.0141}$	$0 . 1141_{- 0.0015}^{+ 0.0016}$ $0.1141_{-0.0015}^{+0.0016}$	$0 . 1341_{- 0.0120}^{+ 0.0137}$ $0.1341_{-0.0120}^{+0.0137}$	$0 . 3657_{- 0.0107}^{+ 0.0110}$ $0.3657_{-0.0107}^{+0.0110}$	$0 . 2037_{- 0.0024}^{+ 0.0025}$ $0.2037_{-0.0024}^{+0.0025}$	$0 . 3552_{- 0.0256}^{+ 0.0260}$ $0.3552_{-0.0256}^{+0.0260}$
Fractional flux [in Cousins R_C-band]	−	−	−	$0 . 3808_{- 0.0122}^{+ 0.0123}$ $0.3808_{-0.0122}^{+0.0123}$	$0 . 2134_{- 0.0052}^{+ 0.0063}$ $0.2134_{-0.0052}^{+0.0063}$	$0 . 3770_{- 0.0321}^{+ 0.0171}$ $0.3770_{-0.0321}^{+0.0171}$

Physical quantities

M [M_⊙]	$1 . 588_{- 0.044}^{+ 0.028}$ $1.588_{-0.044}^{+0.028}$	$1 . 209_{- 0.033}^{+ 0.026}$ $1.209_{-0.033}^{+0.026}$	$1 . 254_{- 0.035}^{+ 0.034}$ $1.254_{-0.035}^{+0.034}$	$1 . 166_{- 0.029}^{+ 0.037}$ $1.166_{-0.029}^{+0.037}$	$1 . 091_{- 0.026}^{+ 0.028}$ $1.091_{-0.026}^{+0.028}$	$1 . 164_{- 0.031}^{+ 0.025}$ $1.164_{-0.031}^{+0.025}$
R [R_⊙]	$1 . 554_{- 0.017}^{+ 0.017}$ $1.554_{-0.017}^{+0.017}$	$1 . 165_{- 0.034}^{+ 0.031}$ $1.165_{-0.034}^{+0.031}$	$1 . 225_{- 0.041}^{+ 0.046}$ $1.225_{-0.041}^{+0.046}$	$1 . 743_{- 0.027}^{+ 0.024}$ $1.743_{-0.027}^{+0.024}$	$1 . 290_{- 0.027}^{+ 0.027}$ $1.290_{-0.027}^{+0.027}$	$1 . 692_{- 0.072}^{+ 0.105}$ $1.692_{-0.072}^{+0.105}$
T_eff [K]	$7706_{- 144}^{+ 168}$ $7706_{-144}^{+168}$	$6426_{- 89}^{+ 112}$ $6426_{-89}^{+112}$	$6561_{- 114}^{+ 103}$ $6561_{-114}^{+103}$	$6033_{- 192}^{+ 78}$ $6033_{-192}^{+78}$	$6051_{- 153}^{+ 77}$ $6051_{-153}^{+77}$	$6033_{- 160}^{+ 97}$ $6033_{-160}^{+97}$
L_bol [L_⊙]	$7 . 66_{- 0.61}^{+ 0.67}$ $7.66_{-0.61}^{+0.67}$	$2 . 08_{- 0.22}^{+ 0.23}$ $2.08_{-0.22}^{+0.23}$	$2 . 49_{- 0.29}^{+ 0.35}$ $2.49_{-0.29}^{+0.35}$	$3 . 63_{- 0.55}^{+ 0.20}$ $3.63_{-0.55}^{+0.20}$	$2 . 01_{- 0.23}^{+ 0.13}$ $2.01_{-0.23}^{+0.13}$	$3 . 43_{- 0.43}^{+ 0.42}$ $3.43_{-0.43}^{+0.42}$
M_bol	$2 . 56_{- 0.09}^{+ 0.09}$ $2.56_{-0.09}^{+0.09}$	$3 . 97_{- 0.11}^{+ 0.12}$ $3.97_{-0.11}^{+0.12}$	$3 . 78_{- 0.14}^{+ 0.13}$ $3.78_{-0.14}^{+0.13}$	$3 . 37_{- 0.06}^{+ 0.18}$ $3.37_{-0.06}^{+0.18}$	$4 . 01_{- 0.07}^{+ 0.13}$ $4.01_{-0.07}^{+0.13}$	$3 . 43_{- 0.12}^{+ 0.15}$ $3.43_{-0.12}^{+0.15}$
M_V	$2 . 52_{- 0.09}^{+ 0.09}$ $2.52_{-0.09}^{+0.09}$	$3 . 97_{- 0.12}^{+ 0.12}$ $3.97_{-0.12}^{+0.12}$	$3 . 77_{- 0.15}^{+ 0.14}$ $3.77_{-0.15}^{+0.14}$	$3 . 39_{- 0.06}^{+ 0.20}$ $3.39_{-0.06}^{+0.20}$	$4 . 03_{- 0.07}^{+ 0.15}$ $4.03_{-0.07}^{+0.15}$	$3 . 44_{- 0.12}^{+ 0.16}$ $3.44_{-0.12}^{+0.16}$
log g [dex]	$4 . 253_{- 0.008}^{+ 0.009}$ $4.253_{-0.008}^{+0.009}$	$4 . 388_{- 0.015}^{+ 0.016}$ $4.388_{-0.015}^{+0.016}$	$4 . 358_{- 0.021}^{+ 0.019}$ $4.358_{-0.021}^{+0.019}$	$4 . 022_{- 0.007}^{+ 0.007}$ $4.022_{-0.007}^{+0.007}$	$4 . 254_{- 0.012}^{+ 0.012}$ $4.254_{-0.012}^{+0.012}$	$4 . 043_{- 0.047}^{+ 0.040}$ $4.043_{-0.047}^{+0.040}$

Global system parameters

log(age) [dex]	$8 . 760_{- 0.053}^{+ 0.142}$ $8.760_{-0.053}^{+0.142}$			$9 . 720_{- 0.021}^{+ 0.097}$ $9.720_{-0.021}^{+0.097}$
[M/H] [dex]	$- 0 . 009_{- 0.094}^{+ 0.049}$ $-0.009_{-0.094}^{+0.049}$			$0 . 076_{- 0.126}^{+ 0.080}$ $0.076_{-0.126}^{+0.080}$
E(B − V) [mag]	$0 . 425_{- 0.023}^{+ 0.024}$ $0.425_{-0.023}^{+0.024}$			$0 . 158_{- 0.045}^{+ 0.022}$ $0.158_{-0.045}^{+0.022}$
Extra light ℓ₄ [in TESS-band]	$0 . 407_{- 0.026}^{+ 0.016}$ $0.407_{-0.026}^{+0.016}$			$0 . 075_{- 0.022}^{+ 0.025}$ $0.075_{-0.022}^{+0.025}$
Extra light ℓ₄ [in Cousins R_C-band]	−			$0 . 026_{- 0.015}^{+ 0.031}$ $0.026_{-0.015}^{+0.031}$
(M_V)_tot	$2 . 03_{- 0.10}^{+ 0.08}$ $2.03_{-0.10}^{+0.08}$			$2 . 39_{- 0.06}^{+ 0.18}$ $2.39_{-0.06}^{+0.18}$
Distance [pc]	$1428_{- 27}^{+ 32}$ $1428_{-27}^{+32}$			$2097_{- 51}^{+ 51}$ $2097_{-51}^{+51}$

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