Dynamical evolution of two-planet systems and its connection with white dwarf atmospheric pollution

TL;DR

This study investigates the dynamical evolution of two-planet systems through stellar phases, revealing that a small percentage lead to planetary ejections or collisions, potentially contributing to white dwarf atmospheric pollution.

Contribution

It extends previous ad hoc models by analyzing realistic multiple planetary systems from main-sequence to white dwarf phases, exploring their stability and potential for pollution.

Findings

Only 2.3% of systems lose a planet during WD phase.

Most systems remain stable over stellar evolution.

About 3.2% of systems could contribute to pollution via orbital scattering.

Abstract

Asteroid material is detected in white dwarfs (WDs) as atmospheric pollution by metals, in the form of gas/dust discs, or in photometric transits. Within the current paradigm, minor bodies need to be scattered, most likely by planets, into highly eccentric orbits where the material gets disrupted by tidal forces and then accreted onto the star. This can occur through a planet-planet scattering process triggered by the stellar mass loss during the post main-sequence evolution of planetary systems. So far, studies of the $N$-body dynamics of this process have used artificial planetary system architectures built ad hoc. In this work, we attempt to go a step further and study the dynamical instability provided by more restrictive systems, that, at the same time allow us an exploration of a wider parameter space: the hundreds of multiple planetary systems found around main-sequence (MS) stars. We find that most of our simulated systems remain stable during the MS, Red and Asymptotic Giant Branch and for several Gyr into the WD phases of the host star. Overall, only $\approx$ 2.3$\%$ of the simulated systems lose a planet on the WD as a result of dynamical instability. If the instabilities take place during the WD phase most of them result in planet ejections with just 5 planetary configurations ending as a collision of a planet with the WD. Finally 3.2$\%$ of the simulated systems experience some form of orbital scattering or orbit crossing that could contribute to the pollution at a sustained rate if planetesimals are present in the same system.