Solving the inverse problem of the exoplanetary time series: the case of the Kepler-419 system

D. D. CARPINTERO; M. D. MELITA

San Martino al Cimino

Congreso; The Seventh International Meeting on Celestial Mechanics; 2017

The Italian Society of Celestial Mechanics and Astrodynamics - SIMCA

The mid-transit times of an exoplanet may be non-periodic. The variations in the timing of the transits with respect to a single period (TTVs) can sometimes be attributed to perturbations by other exoplanets present in the system, which may or may not transit the star.To compute the mass and the six orbital elements of an non-transitingexoplanet, given only the central times of transit of the transiting body. Alsoto recover the mass of the star and the mass and orbital elements of thetransiting exoplanet, suitably modified in order to decrease as much as posiblethe deviation between the observed and the computed transit times.We have applied our method, based on a genetic algorithm, to the Kepler-419system.We were able to compute all fourteen free parameters of the system, which, whenintegrated in time, give transits almost within the observational errors. Wealso studied the dynamics and the long term orbital evolution of the Kepler-419planetary system as defined by the orbital elements computed by us, in order todetermine its stability.