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The exoplanet KOI-142b (Kepler-88b) shows transit timing variations (TTVs)with a semi-amplitude of $\sim 12\,$ hours, earning the nickname of "king oftransit variations". Only the transit of the planet b was detected in theKepler data with an orbital period of $\sim 10.92\,$ days and a radius of $\sim0.36$ R$_{\mathrm{Jup}}$. The TTVs together with the transit durationvariations (TDVs) of KOI-142b were analysed by Nesvorny et al. (2013) who founda unique solution for a companion perturbing planet. The authors predicted anouter non-transiting companion, KOI-142c, with a mass of $0.626\pm 0.03$M$_{\mathrm{Jup}}$ and a period of $22.3397^{+0.0021}_{-0.0018}\,$days, andhence close to the 2:1 mean-motion resonance with the inner transiting planet.We report independent confirmation of KOI-142c using radial velocityobservations with the SOPHIE spectrograph at the Observatoire deHaute-Provence. We derive an orbital period of $22.10 \pm 0.25\,$days and aminimum planetary mass of $0.76^{+0.32}_{0.16}\,$ M$_{\mathrm{Jup}}$, both ingood agreement with the predictions by previous transit timing analysis.Therefore, this is the first radial velocity confirmation of a non-transitingplanet discovered with transit timing variations, providing an independentvalidation of the TTVs technique.

astronomy and astrophysics

SOPHIE velocimetry of Kepler transit candidates: X KOI-142c: first  radial velocity confirmation of a non-transiting exoplanet discovered by  transit timing