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Table 4

Parameters of the WASP-19Ab system.

Parameter Symbol Fit Value Priors
Assumed parameters
Stellar rotation V sin (i) 4.63 km s−1 (†)
Stellar mass M 0.970 M
Planet-to-star radius ratio rp/R 0.14248
Semi-major axis a 0.01655 AU
First transit epoch T0 2 454 775.3372 BJDTDB

Adjusted parameters
Jitters ID 1 jit1 RVs 13.5 m s−1
ID 2 jit2 RVs 35.0 m s−1
ID 3 jit3 RVs 9.8 m s−1
ID 4 jit4 RVs 11.5 m s−1
ID 5 jit5 RVs 30.4 m s−1
ID 6 jit6 RVs 13.1 m s−1
ID 7 jit7 RVs 9.8 m s−1
ID 8 jit8 RVs 22.3 m s−1
Transits jittr Tr 0.00005 d
Occultations jitocc Occ 0.0001 d

Fitted parameters
Offset velocity of the system Vγ RVs (20.7791 ± 0.0060) km s−1 𝒰 [−∞,+∞]
RV semi-amplitude K RVs (253.48 ± 3.87) m s−1 𝒰 [−∞,+∞]
Offset instrumental velocity
ID 2 Vinstr,2 RVs (0.0258 ± 0.0071)km s−1 𝒰 [−∞,+∞]
ID 3 Vinstr,3 RVs (0.0221 ± 0.0074) km s−1 𝒰 [−∞,+∞]
ID 4 Vinstr,4 RVs (−20.827 ± 0.016) km s−1 𝒰 [−∞,+∞]
ID 5 Vinstr,5 RVs (−20.712 ± 0.014) km s−1 𝒰 [−∞,+∞]
ID 6 Vinstr,6 RVs (−0.0919 ± 0.0092) km s−1 𝒰 [−∞,+∞]
ID 7 Vinstr,7 RVs (−0.1149 ± 0.0139) km s−1 𝒰 [−∞,+∞]
ID 8 Vinstr,8 RVs (0.0750 ± 0.0090) km s−1 𝒰 [-∞,+∞]
Anomalistic period Pa RVs and Tr/Occ 𝒰 [−∞,+∞]
RVs and Tr/Occ 𝒰 [−1,+1]
RVs and Tr/Occ 𝒰 [−1,+1]
Periastron precession rate dω/dt RVs and Tr/Occ
𝒰 [−∞,+∞]
Stellar Love number k2,⋆ RVs 0.0200 ± 0.0069 𝒩 (0.02;0.004)
Stellar temperature Teff,⋆ RVs (5498.65 ± 172.86)K 𝒩 (5500 K;100 K)
Planet-to-star mass ratio q = mp/M RVs 0.001150 ± 0.000057 𝒩 (0.00115;3.3 10−5)
Stellar radius over semi-major axis R/a RVs 0.2785 ± 0.0070 𝒩 (0.2784;0.0040)
Orbital-to-rotational stellar period F = Porb/Prot,⋆ RVs 0.0729 ± 0.0074 𝒩 (0.0729;0.0043)
Orbital inclination i RVs and Tr/Occ (79.40 ± 0.69)° 𝒩 (79.4;0.4)

Derived parameters
Eccentricity e
Periastron angle ω0
Sidereal period Ps
Planetary Love number k2,p

Notes. Assumed, adjusted – according to Eq. (11) – fitted parameters and their priors, and derived parameters for our model which fits RVs and transit/occultation mid-times in parallel. The third column indicates if the parameter was fitted to model radial velocity (“RV”) and/or mid-transit and mid-occultation times (“Tr/Occ”). The last column shows the results of our analysis. The offset related to ID 1 (Vinstr,1) was not included because the first dataset was used to derive the relative velocity between the observer and the center of mass of the system (Vgamma). The solutions are calculated only from those steps of the DE-MCMC that fall within the distribution around the highest peak of the posterior distribution of (see Fig. 6, solution B). Errorbars are given with 1σ confidence level. The reported values and errorbars of the sidereal period Ps, ω0 and e are not calculated – as , arctan and respectively – from the reported values of and but from the median of the distribution resulting from the combination of the posterior distributions of and . (†)Hellier et al. (2011).

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