An internal heating mechanism operating in ultra-short-period planets orbiting magnetically active stars

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Table 1

Stellar models considered to compute the non-axisymmetric quadrupole moment T_s.

Star mass (M_⊙)	0.7	0.8	0.9
Star radius (R_⊙)	0.653	0.721	0.888
Age (Myr)	583	256	7452
r_b∕R_s	0.676	0.690	0.694
r_L∕R_s	0.990	0.990	0.987
(10⁻⁴ s² m⁻¹)	5.9784	6.0804	7.9771
B₀ (T)^(a)	71.0	66.0	50.0
E_mag (10³⁴ J)	1.56	1.83	1.96

Notes. ^(a)The intensity B₀ of the magnetic field of the flux tube of angular radius θ₀ = 30° in the overshoot layer at r = r_b is chosen to have T_s∕I_s = 10⁻⁶, while the magnetic energy of the flux tube is E_mag (see text).

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