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Transit timing variations (TTVs) have proven to be a powerful technique forconfirming Kepler planet candidates, for detecting non-transiting planets, andfor constraining the masses and orbital elements of multi-planet systems. TheseTTV applications often require the numerical integration of orbits forcomputation of transit times (as well as impact parameters and durations);frequently tens of millions to billions of simulations are required whenrunning statistical analyses of the planetary system properties. We havecreated a fast code for transit timing computation, TTVFast, which uses asymplectic integrator with a Keplerian interpolator for the calculation oftransit times (Nesvorny et al. 2013). The speed comes at the expense ofaccuracy in the calculated times, but the accuracy lost is largely unnecessary,as transit times do not need to be calculated to accuracies significantlysmaller than the measurement uncertainties on the times. The time step can betuned to give sufficient precision for any particular system. We find aspeed-up of at least an order of magnitude relative to dynamical integrationswith high precision using a Bulirsch-Stoer integrator.

TTVFast: An efficient and accurate code for transit timing inversion problems