Chaotic dynamics of the planet in HD 196885 AB

The advent in the detection technology has led to the confirmation of hundreds of exoplanets among which many are found to orbit binary stars where depending on the planetary orbit around the host star(s), a planet could orbit either one or both stars as S-type or P-type, respectively. We have analysed the orbital stability of the S-type planetary system in HD 196885 AB with an emphasis on higher orbital inclination of planet with the binary plane. The mean exponential growth factor of nearby orbits (MEGNO) maps are used as an indicator to determine regions of chaos for the var-ious choices of planet’s semi-major axis, eccentricity and inclination with respect to the previously determined observational uncertainties. Based on our analysis we have quantitatively mapped chaotic and quasi-periodic regions of the system’s phase space which indicate regions of likely stability. In addition, we inspect the resonant angle to determine whether alternation between libration and circulation occurs as a con-sequence of Kozai oscillations, a probable mechanism that leads the system towards highly inclined planetary orbit. Also, we demonstrate the possible higher mass limit of the planet and improve upon the current ephemeris with a more consistent dynamical model based on our stability analysis