Effects of an eccentric inner Jupiter on the dynamical evolution of icy body reservoirs in a planetary scattering scenario

Abstract

We analyze the process of planetary scattering around M0-type stars. To do this, we carry out N-body simulations with three Jupiter-mass planets close to their instability limit together with an outer planetesimal disk. This paper focuses on the analysis of systems in which a single Jupiter-mass planet survives after the dynamical instability event. The small body reservoirs show different dynamical behaviors. In fact, our simulations produce particles on prograde and retrograde orbits, as well as particles whose orbital plane flips from prograde to retrograde and back again along their evolution. Such particles are called "Type-F particles". We find strong correlations between the inclination $i$ and the ascending node longitude $\Omega$ of such particles. First, $\Omega$ librates around 90${}^{\circ }$ or/and 270${}^{\circ }$. This property is very important since it represents a necessary and sufficient condition for the flipping of an orbit. Moreover, the libration periods of $i$ and $\Omega$ are equal and they are out to phase by a quarter period. We also remark that the larger the libration amplitude of $i$, the larger the libration amplitude of $\Omega$. Finally, we analyze the initial conditions of Type-F particles of all our simulations immediately after the dynamical instability event, when a single Jupiter-mass planet survives in the system. We carry out this study with the goal to determine the parameter space that lead to the flipping of an orbit. Our results suggest that the orbit of a test particle can flip for any value of its initial eccentricity, although we found only two Type-F particles with initial inclinations $i<$ 17${}^{\circ }$. Moreover, our study indicates that the minimum value of the inclination of the Type-F particles in a given system decreases with an increase in the eccentricity of the giant planet.

13 pages, 14 figures, Accepted for publication in Astronomy & Astrophysics

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• Hidden Planetary Friends: On the Stability Of 2-Planet Systems in the Presence of a Distant, Inclined Companion
• The Stationary Points of the Hierarchical Three Body Problem
• The inverse Lidov-Kozai resonance for an outer test particle due to an eccentric perturber
• Mildly-Hierarchical triple dynamics and applications to the outer solar system
• The role of the general relativity on icy body reservoirs under the effects of an inner eccentric Jupiter
• Constraining a companion of the galactic center black hole, Sgr A*
• A radial limit on polar circumbinary orbits from general relativity
• Constraints to the semimajor axis of outer particles with nodal librations by general relativity effects
• Production of hot Jupiter candidates from high-eccentricity mechanisms for different initial planetary mass configurations