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Tidal Truncation of Inclined Circumstellar and Circumbinary Discs in Young Stellar Binaries

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arxiv 1504.02917 v2 pith:KJCHHT7H submitted 2015-04-11 astro-ph.EP astro-ph.SR

Tidal Truncation of Inclined Circumstellar and Circumbinary Discs in Young Stellar Binaries

classification astro-ph.EP astro-ph.SR
keywords discsbinarycircumbinarycircumstellarmisalignedradiitidalbinaries
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Recent observations have shown that circumstellar and circumbinary discs in young stellar binaries are often misaligned with respect to the binary orbital plane. We analyze the tidal truncation of such misaligned discs due to torques applied to the disc at the Lindblad resonances from the tidal forcings of the binary. We consider eccentric binaries with arbitrary binary-disc inclination angles. We determine the dependence of the tidal forcing strengths on the binary parameters and show that they are complicated non-monotonic functions of eccentricity and inclination. We adopt a truncation criterion determined by the balance between resonant torque and viscous torque, and use it to calculate the outer radii of circumstellar discs and the inner radii of circumbinary discs. Misaligned circumstellar discs have systematically larger outer radii than aligned discs, and are likely to fill their Roche lobes if inclined by more than $45^\circ - 90^\circ$, depending on the binary mass ratio and disc viscosity parameter. Misaligned circumbinary discs generally have smaller inner radii than aligned discs, but the details depend sensitively on the binary and disc parameters.

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Cited by 5 Pith papers

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