Estimation of the tidal heating in the TRAPPIST-1 planets - Influence of the internal structure

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Table 3

Tidal heat flux (in W/m²) for all T 1 planets.

Planet	Minimum eccentricity		Maximum eccentricity
	Smallest core	Biggest core	Smallest core	Biggest core
T-1b	$0 . 50_{- 0.40}^{+ 0.26}$ $Mathematical equation: $0.50_{-0.40}^{+0.26}$$	$1 . 07_{- 0.71}^{+ 0.24}$ $Mathematical equation: $1.07_{-0.71}^{+0.24}$$	$505_{- 404}^{+ 266}$ $Mathematical equation: $505_{-404}^{+266}$$	$1074_{- 716}^{+ 245}$ $Mathematical equation: $1074_{-716}^{+245}$$
T-1c	$0 . 19_{- 0.15}^{+ 0.09}$ $Mathematical equation: $0.19_{-0.15}^{+0.09}$$	$0 . 43_{- 0.28}^{+ 0.08}$ $Mathematical equation: $0.43_{-0.28}^{+0.08}$$	$17 . 4_{- 13.7}^{+ 8.1}$ $Mathematical equation: $17.4_{-13.7}^{+8.1}$$	$39 . 5_{- 26.3}^{+ 7.1}$ $Mathematical equation: $39.5_{-26.3}^{+7.1}$$
T-1d	$0 . 39_{- 0.27}^{+ 0.14}$ $Mathematical equation: $0.39_{-0.27}^{+0.14}$$	$0 . 95_{- 0.65}^{+ 0.26}$ $Mathematical equation: $0.95_{-0.65}^{+0.26}$$	$1 . 06_{- 0.75}^{+ 0.39}$ $Mathematical equation: $1.06_{-0.75}^{+0.39}$$	$2 . 60_{- 1.77}^{+ 0.70}$ $Mathematical equation: $2.60_{-1.77}^{+0.70}$$
T-1e	$0 . 13_{- 0.03}^{+ 0.32}$ $Mathematical equation: $0.13_{-0.03}^{+0.32}$$	$0 . 39_{- 0.08}^{+ 0.64}$ $Mathematical equation: $0.39_{-0.08}^{+0.64}$$	$0 . 17_{- 0.05}^{+ 0.42}$ $Mathematical equation: $0.17_{-0.05}^{+0.42}$$	$0 . 51_{- 0.10}^{+ 0.85}$ $Mathematical equation: $0.51_{-0.10}^{+0.85}$$
T-1f	$0 . 017_{- 0.006}^{+ 0.062}$ $Mathematical equation: $0.017_{-0.006}^{+0.062}$$	$0 . 045_{- 0.011}^{+ 0.082}$ $Mathematical equation: $0.045_{-0.011}^{+0.082}$$	$0 . 020_{- 0.007}^{+ 0.073}$ $Mathematical equation: $0.020_{-0.007}^{+0.073}$$	$0 . 053_{- 0.013}^{+ 0.097}$ $Mathematical equation: $0.053_{-0.013}^{+0.097}$$
T-1g	$0 . 0013_{- 0.0005}^{+ 0.0066}$ $Mathematical equation: $0.0013_{-0.0005}^{+0.0066}$$	$0 . 0033_{- 0.0010}^{+ 0.0100}$ $Mathematical equation: $0.0033_{-0.0010}^{+0.0100}$$	$0 . 0017_{- 0.0006}^{+ 0.0086}$ $Mathematical equation: $0.0017_{-0.0006}^{+0.0086}$$	$0 . 004_{- 0.001}^{+ 0.013}$ $Mathematical equation: $0.004_{-0.001}^{+0.013}$$
T-1h	$0 . 000024_{- 0.000006}^{+ 0.000115}$ $Mathematical equation: $0.000024_{-0.000006}^{+0.000115}$$	$0 . 000054_{- 0.000013}^{+ 0.000237}$ $Mathematical equation: $0.000054_{-0.000013}^{+0.000237}$$	$0 . 00006_{- 0.00002}^{+ 0.00029}$ $Mathematical equation: $0.00006_{-0.00002}^{+0.00029}$$	$0 . 00014_{- 0.00003}^{+ 0.00059}$ $Mathematical equation: $0.00014_{-0.00003}^{+0.00059}$$

Notes. Computations were done for α=0.25 and reference temperatures (670 K for b and c, 650 K for d, 300 K for e, 250 K for f, 210 K for g, and 170 K for h). The uncertainties show the impact of α and the temperature (viscosity) profile with the lower flux values corresponding to α=0.30 and the lowest temperatures and the higher flux values corresponding to α=0.20 and the highest temperatures. For comparison, the heat flux of Io is 2.54 W/m², the heat flux of the Earth is 8.7 e-2 W/m², and the tidal heat flux of the Earth is 2.23 e-4 W/m². Values in gray identify where the flux is lower than the flux of the Earth, and values in dark red are higher than the flux of Io.

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