Circumbinary disk evolution in the presence of an outer companion star
Rebecca G. Martin, Stephen Lepp, Stephen H. Lubow, Matthew A., Kenworthy, Grant M. Kennedy, David Vallet

TL;DR
This paper investigates how a circumbinary disk evolves in a hierarchical triple system, revealing the conditions under which the disk aligns to a polar orientation or undergoes Kozai-Lidov oscillations, affecting disk stability and mass transfer.
Contribution
It introduces a model analyzing the competition between nodal precession and Kozai-Lidov oscillations in circumbinary disks within triple systems, highlighting the impact on disk alignment and stability.
Findings
Polar alignment occurs when the inner binary torque dominates.
Kozai-Lidov oscillations lead to disk disruption and mass transfer.
Disk breaking is more likely during polar alignment.
Abstract
We consider a hierarchical triple system consisting of an inner eccentric binary with an outer companion. A highly misaligned circumbinary disk around the inner binary is subject to two competing effects: (i) nodal precession about the inner binary eccentricity vector that leads to an increase in misalignment (polar alignment) and (ii) Kozai-Lidov (KL) oscillations of eccentricity and inclination driven by the outer companion that leads to a reduction in the misalignment. The outcome depends upon the ratio of the timescales of these effects. If the inner binary torque dominates, then the disk aligns to a polar orientation. If the outer companion torque dominates, then the disk undergoes KL oscillations. In that case, the highly eccentric and misaligned disk is disrupted and accreted by the inner binary, while some mass is transferred to the outer companion. However, when the torques are…
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