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Table 4

Orbital and planetary parameters for HATS-13b and HATS-14b.

HATS-13b HATS-14b
Parameter value value

Light curve parameters
P (days) 3.0440499 ± 0.0000027 2.7667641 ± 0.0000027
Tc (BJD)a 2 456 340.31705 ± 0.00026 2 456 408.76462 ± 0.00021
T14 (days)a 0.10978 ± 0.00084 0.11009 ± 0.00078
T12 = T34 (days)a 0.01430 ± 0.00063 0.01168 ± 0.00061
a/R 9.82 ± 0.18
ζ / R b 20.939 ± 0.090 20.35 ± 0.12
R p / R 0.1402 ± 0.0016 0.1145 ± 0.0012
b 2
bacosi/R
i (deg) 88.55 ± 0.43 88.83 ± 0.66
HS effective dilution factorc 0.947 ± 0.034 0.929 ± 0.035
Limb-darkening coefficientsd
c1,g (linear term) 0.6213 0.7052
c2,g (quadratic term) 0.1844 0.1193
c 1 ,r 0.4107 0.4725
c 2 ,r 0.2928 0.2569
c 1 ,i 0.3116 0.3562
c 2 ,i 0.3063 0.2871
c 1 ,z 0.2436 0.2739
c 2 ,z 0.3108 0.3035
c 1 ,R 0.3833 0.4404
c 2 ,R 0.2974 0.2661
RV parameters
K (m s-1) 78 ± 10 158 ± 10
e e < 0.181 < 0.142
RV jitter HDS (m s-1)f 0.0 ± 4.0 ···
RV jitter FEROS (m s-1) 62 ± 14 0.00 ± 0.61
RV jitter Coralie (m s-1) 108 ± 41 0.0 ± 1.7
RV jitter CYCLOPS (m s-1) 220 ± 130 ···
Planetary parameters
Mp (MJ) 0.543 ± 0.072 1.071 ± 0.070
Rp (RJ) 1.212 ± 0.035
C (Mp,Rp) g 0.07 −0.08
ρp (g cm-3) 0.377 ± 0.058
log gp (cgs) 2.961 ± 0.063
a (AU) 0.04057 ± 0.00041 0.03815 ± 0.00032
Teq (K) 1244 ± 20 1276 ± 20
Θ h 0.0377 ± 0.0050 0.0814 ± 0.0058
log 14F (cgs)i 8.732 ± 0.028 8.778 ± 0.027

Notes.

(a)

Times are in Barycentric Julian Date calculated directly from UTC without correction for leap seconds. Tc: reference epoch of mid transit that minimizes the correlation with the orbital period. T14: total transit duration, time between first to last contact; T12 = T34: ingress/egress time, time between first and second, or third and fourth contact.

(b)

Reciprocal of the half duration of the transit used as a jump parameter in our MCMC analysis in place of a/R. It is related to a/R by the expression (Bakos et al. 2010).

(c)

The factor by which the HS transit depths are scaled in the global light curve and RV modelling to account for blending with neighbouring stars and over-correction by the trend-filtering method.

(d)

Values for a quadratic law, adopted from the tabulations by Claret (2004) according to the spectroscopic (ZASPE) parameters listed in Table 3.

(e)

As discussed in Sect. 3.3 the adopted parameters for all four systems are determined assuming circular orbits. We also list the 95% confidence upper limit on the eccentricity determined when and are allowed to vary in the fit.

(f)

Term added in quadrature to the formal RV uncertainties for each instrument. This is treated as a free parameter in the fitting routine.

(g)

Correlation coefficient between the planetary mass Mp and radius Rp estimated from the posterior parameter distribution.

(h)

The Safronov number is given by (see Hansen & Barman 2007).

(i)

Incoming flux per unit surface area, averaged over the orbit.

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