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Table 2

Fitted and derived properties of the planets and candidate of the Kepler-1972 system.

Parameter Prior Keplerian n-body
KOI3184.03

P (day) U[8,12] Fitted
R/R U[0,1e–1] Fitted
b U [0,1] Fitted
t0 [BJD-2454833.0] Fitted
a/R Derived
I (deg) Derived
R (REarth) Derived
S/N 11.14 11.10 Derived

Kepler-1972 b (KOI3184.01)

λ (deg) U[0,360] Fitted
P (day) U[1,20] Fitted
e cos ϖ U[–.9,.9]* Fitted
e sin ϖ U[–.9,.9]* Fitted
Mpl/M U[0,1e–2] Derived
RPl/R U[0,1e–1] Fitted
b U [0,1] Fitted
t0 [BJD-2454833.0] f/d
a/R Derived
e Derived
ϖ (deg) Derived
I (deg) Derived
Mpl (MEarth) Derived
Rpl (REarth) Derived
ρpl (ρEarth) Derived
S/N 12.38 18.96 Derived

Kepler-1972 c (KOI3184.02)

λ (deg) U[0,360] Fitted
P (day) U[1,20] Fitted
e cos ϖ U[–.9,.9]* Fitted
e sin ϖ U[–.9,.9]* Fitted
Mpl/M U[0,1e-2] Derived
Rpl/R U[0,1e–1] Fitted
b U [0,1] Fitted
t0 [BJD-2454833.0] f /d
a/R Derived
e Derived
ϖ (deg) Derived
I (deg) Derived
Mpl (MEarth) Derived
Rpl (REarth) Derived
ρpl [ρEarth] Derived
S/N 7.47 12.60 Derived

Kepler-1972 b and c

log10((mb + mc)/m) U[–7,–2] Fitted
mb/(mb + mc) U [0,1] Fitted

Kepler-1972

ρ (ρ) Fitted
limbdark u1 Fitted
limbdark u2 Fitted
log10(jitter) U[–10,0] Fitted
loglO(σGP) U[–10,0] Fitted
logl0(τGP) (day) U[0,3] Fitted

Notes. Orbital elements are given as the date 110.5394 [BJD-2454833.0]. The main value is the median of the posterior distribution. The reported errors are the distance to the 0.15865 quantile (lower error) and 0.84135 quantile (upper error). U refers to a flat prior between the given bounds, while 𝒩(µ, σ) refers to a Gaussian distribution of mean µ and standard deviation σ. U*: For the k = e cos ϖ and h = e sin ϖ variables, an additional prior was added to enforce a uniform distribution for their module e. f/d indicates that the variable is fitted for the circular model, but derived in the n-body model (where λj is the fitted parameter). The reported S/N is the median depth of transit over its standard deviation to better account for potential degeneracy with the noise modelling at the transit location.

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