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Table 1

Physical (top) and numerical (bottom) parameters for WASP-18 b ExoRad simulations.

Parameter Value Source
Planetary mass, Mp 10.4 MJup Southworth et al. (2009)
Planetary radiusa, Rp,obs 1.19 RJup Shporer et al. (2019)
Surface gravity, g 190 m s−2 Southworth et al. (2009)
Orbital period (synchronous) 0.94 days Hellier et al. (2009)
Stellar effective temperature, T 6400 K Hellier et al. (2009)
Stellar radiusa, R 1.23 R Shporer et al. (2019)
Semi-major axis, aP 0.02047 AU Southworth et al. (2009)
Equilibrium temperature for zero albedo, Teq,0 2402 K Eq. (12)
Metallicity [Fe/H] 0 (solar) Southworth et al. (2009)
Mean molecular weight, µ 1.9 petitRADTRANS
Specific heatb, cp 3.04×104 Jkg−1 K−1 petitRADTRANS
Specific gas constant, Rd 4341 J kg−1 K−1 Rd = kB/(µmp)

Pressure range 10−5 … 700 bar
Grid resolution C32 (∼128 × 64)
Vertical levels 47
Equatorial surface magnetic field strength, B0 5 G
Magnetic field geometry Anti-aligned dipole
Sponge layer Rayleigh friction (ktop) 20 days−1
Timescale for Rayleigh friction in deep layers kbottom1Mathematical equation: $k_{{\rm{bottom}}}^{ - 1}$ 1 day
Radiative time step 100 s
Simulation time step 25 s
Simulation time length 1000 days

Notes. R ∼ 6.95508 × 108 m: solar radius; RJup ∼7.1492 × 107 m: Jupiter radius (equatorial, at 1 bar); MJup ∼1.898 × 1027 kg: Jupiter’s mass; mp ∼ 1.673 × 10−27 kg: mass of a hydrogen atom. (a)Values were inferred from transit light curves of TESS observed in a wavelength range from 600 to 1000 nm. (b)cP was derived using the adiabatic temperature gradient, which was calculated using Eqs. (2.50), (2.59), and (2.75) of Gordon & McBride (1994).

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