Analysis of HAT-P-16b and TrES-3b Exoplanets by the Transit Timing Variations Method

Abstract: In this study, the transit observations of HAT-P-16b and TrES-3b exoplanets were carried out at \c{C}\"U UZAYMER Observatory with a 50 cm Ritchey Chretien type telescope. By analyzing the light curves of both exoplanets, system parameters have been obtained with acceptable models. Some of these parameters for HAT-P-16 systems were found to be: M${P}$=4.172$\pm$0.163 M${J}$, R${P}$=1.309$\pm$0.111 R${J}$, a/R${*}$=7.1922$\pm$0.0017 and b=0.1003$\pm$0.1533 which are consistent with the values given in \cite{2010ApJ...720.1118B}. Also, for the TrES-3 system, the same parameters were calculated as M${P}$=1.959$\pm$0.111 M${J}$, R${P}$=1.320$\pm$0.169 R${J}$, a/R${*}$=6.0656$\pm$ 0.4899 and b=0.7892$\pm$0.0700. These values are also consistent with the values given in \cite{2007ApJ...663L..37O}. No significant Transit Timing Variations (TTV) was found as a result of the Lomb-Scargle (LS) periodogram for HAT-P-16b by using the transit times obtained from the transit light curves (False Alarm Probabilities -- FAP) = \%96). However, a significant periodicity was found at 32.38 days and a secondary periodicity was found at 41.07 days were determined as a result of the LS periodogram obtained from the TrES-3b data. We interpret that these periods with FAP of 3.41 \% and 1.88 \%, respectively, are close to the rotation period of the host star. Therefore, these periods could be due to the modulation of spot-induced light variations.