2017AJ....153..198S

We use 16 quarters of the Kepler mission data to analyze the transit timing variations (TTVs) of the extrasolar planet Kepler-46b (KOI-872). Our dynamical fits confirm that the TTVs of this planet (period P=33.648_–0.005^+0.004 days) are produced by a non-transiting planet Kepler-46c (P=57.325_–0.098^+0.116 days). The Bayesian inference tool MultiNest is used to infer the dynamical parameters of Kepler-46b and Kepler-46c. We find that the two planets have nearly coplanar and circular orbits, with eccentricities ≃0.03 somewhat higher than previously estimated. The masses of the two planets are found to be M_b=0.885_–0.343^+0.374 and M_c=0.362_–0.016^+0.016 Jupiter masses, with M_b being determined here from TTVs for the first time. Due to the precession of its orbital plane, Kepler-46c should start transiting its host star a few decades from now.