Solving the inverse problem of the exoplanetary transit-timing time series with genetic algorithms: the case of the Kepler-419 system

M. D. MELITA; D. D. CARPINTERO

San Martín, Buenos Aires

Congreso; 1st Argentinian Workshop on Exoplanets; 2018

Univ. Nac. de San Martín

Usually, the mid-transit times of an exoplanet are non-Keplerian, that is, they are not periodic. These variations in the timing of transits can sometimes be attributed to perturbations by other exoplanets present in the system, which may or may not transit the star. We have developed and algorithm that allows to compute the mass and the six orbital elements of a non-transiting exoplanet, given only the central times of transit of a transiting body. Also, the mass of the star and the mass and orbital elements of the transiting exoplanet are recovered.We have applied our method, based on a genetic algorithm, to the Kepler 419 system.We were able to compute all fourteen free parameters of the system, which, when integrated in time, give transits almost within the observational errors. We also studied the dynamics and the long term orbital evolution of the Kepler 419 planetary system as defined by the orbital elements computed by us, in order to determine its stability.