Polar alignment of a circumbinary disc around a brown dwarf binary

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Main Authors: Smallwood, Jeremy L., Baycroft, Thomas A., Triaud, Amaury H. M. J., Nelson, Richard P.
Format: Preprint
Published: 2025
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author Smallwood, Jeremy L.
Baycroft, Thomas A.
Triaud, Amaury H. M. J.
Nelson, Richard P.
author_facet Smallwood, Jeremy L.
Baycroft, Thomas A.
Triaud, Amaury H. M. J.
Nelson, Richard P.
contents Inspired by recent observations suggesting that the retrograde precession of the brown dwarf binary 2M1510 AB is consistent with induction by a polar circumbinary planet, we investigate the formation of such planets by studying the evolution of a primordial misaligned circumbinary disc around a brown dwarf binary. Analytical calculations show that a critical tilt angle of $i_{\rm crit} \gtrsim 50^\circ$ for moderately eccentric binaries is needed for polar alignment of circumbinary discs in systems with low disc-to-binary angular momentum ratios. For higher ratios, this angle converges to the Kozai-Lidov instability threshold of $\sim 39^\circ$. We identify disc parameters, such as viscosity ($α= 10^{-4}$) and aspect ratio ($H/r = 0.05$), that enable polar alignment within typical disc lifetimes. Notably, a circumbinary disc around a low-mass binary, such as a brown dwarf binary, will require more time to achieve polar alignment compared to higher-mass systems. A hydrodynamical simulation confirms that an initially inclined disc around a brown dwarf evolves towards a polar state, creating favorable conditions for polar planet formation. Using these results, we finish by placing 2M1510 AB into a wider context and speculate why such a polar circumbinary configuration has not been identified before.
format Preprint
id arxiv_https___arxiv_org_abs_2506_22747
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Polar alignment of a circumbinary disc around a brown dwarf binary
Smallwood, Jeremy L.
Baycroft, Thomas A.
Triaud, Amaury H. M. J.
Nelson, Richard P.
Earth and Planetary Astrophysics
Solar and Stellar Astrophysics
Inspired by recent observations suggesting that the retrograde precession of the brown dwarf binary 2M1510 AB is consistent with induction by a polar circumbinary planet, we investigate the formation of such planets by studying the evolution of a primordial misaligned circumbinary disc around a brown dwarf binary. Analytical calculations show that a critical tilt angle of $i_{\rm crit} \gtrsim 50^\circ$ for moderately eccentric binaries is needed for polar alignment of circumbinary discs in systems with low disc-to-binary angular momentum ratios. For higher ratios, this angle converges to the Kozai-Lidov instability threshold of $\sim 39^\circ$. We identify disc parameters, such as viscosity ($α= 10^{-4}$) and aspect ratio ($H/r = 0.05$), that enable polar alignment within typical disc lifetimes. Notably, a circumbinary disc around a low-mass binary, such as a brown dwarf binary, will require more time to achieve polar alignment compared to higher-mass systems. A hydrodynamical simulation confirms that an initially inclined disc around a brown dwarf evolves towards a polar state, creating favorable conditions for polar planet formation. Using these results, we finish by placing 2M1510 AB into a wider context and speculate why such a polar circumbinary configuration has not been identified before.
title Polar alignment of a circumbinary disc around a brown dwarf binary
topic Earth and Planetary Astrophysics
Solar and Stellar Astrophysics
url https://arxiv.org/abs/2506.22747