MAMA: An Algebraic Map for the Secular Dynamics of Planetesimals in Tight Binary Systems
Abstract
We present an algebraic map (MAMA) for the dynamical and collisional evolution of a planetesimal swarm orbiting the main star of a tight binary system (TBS). The orbital evolution of each planetesimal is dictated by the secular perturbations of the secondary star and gas drag due to interactions with a protoplanetary disk. The gas disk is assumed eccentric with a constant precession rate. Gravitational interactions between the planetesimals are ignored. All bodies are assumed coplanar. A comparison with full N-body simulations shows that the map is of the order of 100 times faster, while preserving all the main characteristics of the full system. In a second part of the work, we apply MAMA to the \gamma-Cephei, searching for friendly scenarios that may explain the formation of the giant planet detected in this system. For low-mass protoplanetary disks, we find that a low-eccentricity static disk aligned with the binary yields impact velocities between planetesimals below the disruption threshold. All other scenarios appear hostile to planetary formation.
Keywords
Cite
@article{arxiv.1310.0477,
title = {MAMA: An Algebraic Map for the Secular Dynamics of Planetesimals in Tight Binary Systems},
author = {A. M. Leiva and J. A. Correa-Otto and C. Beaugé},
journal= {arXiv preprint arXiv:1310.0477},
year = {2015}
}