Table 1: Model parameters.
Id Time (yr) $M_\star (M_{\odot})$ $R_{\rm S}$ (AU) $Z_{\rm S}$ (AU) $M_{\rm S} (M_{\odot})$ $\dot{M}_\star (M_{\odot}$ yr-1) $L_{\rm TOT} ({L}_{\odot})$ $T_\star$ (K) Description
t0 0 - - - - - - - initial conditions
t1 $5.3\times10^{4}$ - - - - - - - before sink formation
t2 $5.3\times10^{4}$ 0.01 4.0 3.4 0.04 $5\times10^{-5}$ 5.7 5150 a protostar has formed
t3 $6.0\times10^{4}$ 0.20 4.0 0.4 0.09 $1\times10^{-5}$ 27.2 7650  
t4 $6.8\times10^{4}$ 0.49 4.0 0.4 0.05 $2\times10^{-6}$ 12.3 6250  
t5 $6.9\times10^{4}$ 0.53 4.0 0.4 0.01 $4\times10^{-7}$ 2.5 4200 protostar is off centre
$Z_{\rm S}$, $R_{\rm S}$: Smartie dimensions (Fig. 1). $M_{\rm\star}$: Stellar mass. $T_\star$: Star temperature. $M_{\rm S}$: Smartie mass.
$\dot{M}_\star$: Accretion rate onto the central star. $L_{\rm TOT}$: Total star luminosity (intrinsic + accretion).

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