Table 6
Priors and posterior distributions of the TTV modeling.
Parameter | Prior distribution | Priors values (µ,σ) | Posterior |
---|---|---|---|
Pb (days) | 𝒯 𝒩 | (2.353345, 0.000027) | 2.353349 ± 0.000040 |
Pc (days) | 𝒯 𝒩 | (3.5600, 0.00012) | 3.560027 ± 0.000097 |
Pd (days) | 𝒯 𝒩 | (5.40531, 0.000041) | 5.405244 ± 0.000012 |
Pe (days) | 𝒯 𝒩 | (8.2613550, 0.0000075) | 8.261352 ± 0.000008 |
Pf (days) | 𝒯 𝒩 | (12.756683, 0.000034) | 12.756661 ± 0.000029 |
Pɡ (days) | 𝒯 𝒩 | (41.96501, 0.00017) | 41.96499 ± 0.00016 |
Mb (M⊕) | 𝒯 𝒩 | (2.80, 0.96) | 2.54 ± 0.83 |
Mc (M⊕) | 𝒯 𝒩 | (5.95, 1.18) | 6.23 ± 0.81 |
Md (M⊕) | 𝒯 𝒩 | (7.20, 1.41) | 0.78 ± 0.36 |
Me (M⊕) | 𝒯 𝒩 | (11.28, 2.79) | 14.11 ± 1.64 |
Mf (M⊕) | 𝒯 𝒩 | (2.43, 2.40) | 2.47 ± 1.63 |
Mɡ (M⊕) | 𝒯 𝒩 | (2.45, 2.33) | 2.56 ± 1.59 |
eb | h-𝒩 | (0.0, 0.1) | 0.020 ± 0.015 |
ec | h-𝒩 | (0.0, 0.1) | 0.015 ± 0.012 |
ed | h-𝒩 | (0.0, 0.1) | 0.16 ± 0.04 |
ee | h-𝒩 | (0.0, 0.1) | 0.014 ± 0.011 |
ef | h-𝒩 | (0.0, 0.1) | 0.013 ± 0.010 |
eɡ | h-𝒩 | (0.0, 0.1) | 0.09 ± 0.06 |
Planet | TTV RMS (min) | TTV amplitude (min) | |
b | 5.2 | 7.7 ± 4.4 | |
c | 5.1 | 9.4 ± 2.8 | |
d | 25.1 | 60.0 ± 2.6 | |
e | 3.4 | 5.1 ± 1.3 | |
f | 4.5 | 7.4 ± 3.2 | |
ɡ | 0.01 | 0.02 ± 0.02 |
Notes. A truncated-normal distribution was defined for the priors of periods and masses of the planets as 𝒯 𝒩(µ0 = µ, , lower_limit=µ-kσ, upper_limit=µ+kσ), where µ and σ are the reported mean and the error of each parameter. The width of the distribution and the truncation limits were defined by setting (s, k) = (2.5,3) and (s, k) = (1,5) for the periods and masses, respectively. No negatives masses were allowed. A half-normal distribution was used for the eccentricities
. The time results of the mean TTV models (RMS and maximum amplitude) are also reported.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.