Transit Timing Observations from Kepler: VII. Confirmation of 27 planets in 13 multiplanet systems via Transit Timing Variations and orbital stability

We confirm 27 planets in 13 planetary systems by showing the existence of statistically significant anticorrelated transit timing variations, which demonstrates that the planet candidates are in the same system, and long-term dynamical stability, which places limits on the masses of the candidates – showing that they are planetary. All of these newly confirmed planetary systems have orbital period...