  Depending on the planetary orbit around the host star(s), a planet could
orbit either one or both stars in a binary system as S-type or P-type,
respectively. We have analysed the dynamics of the S-type planetary system in
HD 196885 AB with an emphasis on a planet with a higher orbital inclination
relative to the binary plane. The mean exponential growth factor of nearby
orbits (MEGNO) maps are used as an indicator to determine regions of
periodicity and chaos for the various choices of the planet's semimajor axis,
eccentricity and inclination with respect to the previously determined
observational uncertainties. We have quantitatively mapped out the chaotic and
quasi-periodic regions of the system's phase space which indicate a likely
regime of the planet's inclination. In addition, we inspect the resonant angle
to determine whether alternation between libration and circulation occurs as a
consequence of Kozai oscillations, a probable mechanism that can drive the
planetary orbit to a very large inclination. Also, we demonstrate the possible
higher mass limit of the planet and improve upon the current dynamical model
based on our analysis.
