Chaotic dynamics of the planet in HD 196885 AB

Abstract

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.

10 pages, 9 figures (Accepted for publication at MNRAS)

References in corpus (5)

• Dynamical Outcomes of Planet-Planet Scattering
• Formation of Hot Planets by a combination of planet scattering, tidal circularization, and Kozai mechanism
• Hot Jupiters in binary star systems
• Tidal evolution of hierarchical and inclined systems
• Extreme orbital evolution from hierarchical secular coupling of two giant planets

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• Secular Dynamics of S-type Planetary Orbits in Binary Star Systems: Applicability Domains of First- and Second-Order Theories
• Orbital Stability and Precession Effects in the Kepler-89 System
• A general stability-driven approach for the refinement of multi-planet systems
• Exomoons in Systems with a Strong Perturber: Applications to $\alpha$ Cen AB
• Statistical properties of habitable zones in stellar binary systems
• Dynamics of a Probable Earth-mass Planet in GJ 832 System
• Moon-packing around an Earth-mass Planet
• Breaking the Mass Inclination Degeneracy of Radial Velocity Measurements via Monitoring von Zeipel-Lidov-Kozai Cycles: Implications in the HD 41004 System
• Instability from high-order resonant chains in wide-separation massive planet systems