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The Transit Timing Variation (TTV) method relies on monitoring changes intiming of transits of known exoplanets. Non-transiting planets in the systemcan be inferred from TTVs by their gravitational interaction with thetransiting planet. The TTV method is sensitive to low-mass planets that cannotbe detected by other means. Here we describe a fast algorithm that can be usedto determine the mass and orbit of the non-transiting planets from the TTVdata. We apply our code, ttvim.f, to a wide variety of planetary systems totest the uniqueness of the TTV inversion problem and its dependence on theprecision of TTV observations. We find that planetary parameters, including themass and mutual orbital inclination of planets, can be determined from the TTVdatasets that should become available in near future. Unlike the radialvelocity technique, the TTV method can therefore be used to characterize theinclination distribution of multi-planet systems.

Fast Inversion Method for Determination of Planetary Parameters from Transit Timing Variations