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

Abstract

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.

16 pages, 12 figures, updated to match version published in MNRAS

References in corpus (10)

• Theory of Star Formation
• The Transiting Circumbinary Planets Kepler-34 and Kepler-35
• The Turbulent Origin of Spin-Orbit Misalignment in Planetary Systems
• Misaligned Protoplanetary Disks in a Young Binary System
• Tidal Torques on Misaligned Disks in Binary Systems
• On the Likelihood of Planet Formation in Close Binaries
• Evolution of linear warps in accretion discs and applications to protoplanetary discs in binaries
• Resonances in retrograde circumbinary discs
• Disk-satellite interaction in disks with density gaps
• Edge-on disk around the T Tauri star [MR81] Halpha 17 NE in CrA

Cited by in corpus (104)

• Compact Disks in a High Resolution ALMA Survey of Dust Structures in the Taurus Molecular Cloud
• Hydrodynamics of circumbinary accretion: Angular momentum transfer and binary orbital evolution
• Viscous Hydrodynamics Simulations of Circumbinary Accretion Discs: Variability, Quasi-Steady State, and Angular Momentum Transfer
• Circumbinary, not transitional: On the spiral arms, cavity, shadows, fast radial flows, streamers and horseshoe in the HD142527 disc
• Circumbinary Accretion from Finite and Infinite Disks
• Kepler-1647b: the largest and longest-period Kepler transiting circumbinary planet
• Observational constraints on dust disk sizes in tidally truncated protoplanetary disks in multiple systems in the Taurus region
• Polar alignment of a protoplanetary disk around an eccentric binary
• Pulsed Accretion onto Eccentric and Circular Binaries
• Inclination Evolution of Protoplanetary Disks Around Eccentric Binaries
• Survival of Planets Around Shrinking Stellar Binaries
• The evolution of large cavities and disc eccentricity in circumbinary discs
• Linear Analysis of the Evolution of Nearly Polar Low Mass Circumbinary Discs
• A Tale of Planet Formation: From Dust to Planets
• A Survey of Disc Thickness and Viscosity in Circumbinary Accretion: Binary Evolution, Variability, and Disc Morphology
• Signatures of an eccentric disc cavity: Dust and gas in IRS 48
• Polar alignment of a protoplanetary disc around an eccentric binary II: Effect of binary and disc parameters
• Planet formation and stability in polar circumbinary discs
• Long-Lived Eccentric Modes in Circumbinary Disks
• Accretion and Magnetic Reconnection in the Classical T Tauri Binary DQ Tau
• Polar alignment of a protoplanetary disc around an eccentric binary III: Effect of disc mass
• A Multi-Wavelength Analysis of Dust and Gas in the SR 24S Transition Disk
• Alignment of a circumbinary disc around an eccentric binary with application to KH 15D
• Generating large misalignments in gapped and binary discs
• Polar planets around highly eccentric binaries are the most stable
• Misaligned accretion disc formation via Kozai-Lidov oscillations
• The Decoupling of Binaries from Their Circumbinary Disks
• Circumbinary disk inner radius as a diagnostic for disk--binary misalignment
• Kozai-Lidov Disc Instability
• Formation of the polar debris disc around 99 Herculis
• Growth and Dissipation of Be Star Discs in Misaligned Binary Systems
• On The Secular Evolution of GG Tau A Circumbinary Disc: A Msialigned Disc Scenario
• Circumbinary and circumstellar discs around the eccentric binary IRAS 04158+2805 -- a testbed for binary-disc interaction
• Formation of S-type planets in close binaries: scattering induced tidal capture of circumbinary planets
• Circumbinary discs for stellar population models
• Dusty clumps in circumbinary discs
• Binary orbital evolution driven by a circumbinary disc
• The Architecture of the V892 Tau System: the Binary and its Circumbinary Disk
• A coplanar circumbinary protoplanetary disk in the TWA 3 triple M dwarf system
• GW Ori: circumtriple rings and planets
• An ALMA Survey of faint disks in the Chamaeleon I star-forming region: Why are some Class II disks so faint?
• Long-term simulation of MHD jet launching from an orbiting star-disk system
• Testing dust trapping in the circumbinary disk around GG Tau A
• An Inner Disk in the Large Gap of the Transition Disk SR 24S
• Formation of polar terrestrial circumbinary planets
• The frequency of Kozai-Lidov disc oscillation driven giant outbursts in Be/X-ray binaries
• The eclipse of the V773 Tau B circumbinary disk
• Considerations for the Observability of Kinematically Offset Binary AGN
• Circumbinary disk evolution in the presence of an outer companion star
• Mergers of Equal-Mass Binaries with Compact Object Companions from Mass Transfer in Triple Star Systems
• Constraining the Circumbinary Disk Tilt in the KH 15D system
• Circumbinary discs around merging stellar-mass black holes
• Instability of non-Keplerian warped discs
• Precession and polar alignment of accretion discs in triple (or multiple) stellar systems
• Sustained Kozai-Lidov oscillations in misaligned circumstellar gas disks
• The $\beta$ Pictoris b Hill sphere transit campaign. Paper I: Photometric limits to dust and rings
• Running The Gauntlet -- Survival of Small Circumbinary Planets Migrating Through Destabilising Resonances
• Terrestrial planet formation in a circumbinary disc around a coplanar binary
• Polar circumtriple planets and disks can only form close to a triple star
• Two Candidate KH 15D-like Systems from the Zwicky Transient Facility
• Sculpting the circumbinary planet size distribution through resonant interactions with companion planets
• A Circumbinary Disk Model for the Rapid Orbital Shrinkage in Black Hole Low-Mass X-ray Binaries
• A fast-growing tilt instability of detached circumplanetary disks
• General Relativistic Magnetohydrodynamic Simulations of Accretion Disks Around Tilted Binary Black Holes of Unequal Mass
• Accretion onto a binary from a polar circumbinary disc
• Transition disc nature of post-AGB binary systems confirmed by mid-infrared interferometry
• Formation of polar circumstellar discs in binary star systems
• The McDonald Accelerating Stars Survey (MASS): Architecture of the Ancient Five-Planet Host System Kepler-444
• Gap formation by inclined massive planets in locally isothermal three-dimensional discs
• Evolution of $\alpha$ Centauri B's protoplanetary disc
• Observational Signatures of Circumbinary Discs I: Kinematics
• Primordial giant planet obliquity driven by a circumplanetary disk
• A precessing Be disk as a possible model for occultation events in GX 304-1
• BH-BH mergers with & without EM counterpart: A model for stable tertiary mass transfer in hierarchical triple systems
• High-contrast Polarimetry Observation of T Tau Circumstellar Environment
• A Dust Trap in the Young Multiple System HD 34700
• Tidal truncation of circumplanetary disks fails above a critical disk aspect ratio
• The likelihood of not detecting cavity-carving companions in transition discs -- A statistical approach
• Decoupling of a supermassive black hole binary from its magnetically arrested circumbinary accretion disk
• Fast nodal precession of the disc around Pleione requires a broken disc
• A Circumbinary Disk Scenario For The Negative Orbital-Period Derivative Of The Ultracompact X-ray Binary 4u1820-303
• Dynamical origin of S-type planets in close binary stars
• V892 Tau: A tidally perturbed circumbinary disc in a triple stellar system
• Estimating the depth of gaps opened by planets in eccentric orbit
• The evolution of a circumplanetary disc with a dead zone
• High-Resolution Near-Infrared Polarimetry and Sub-Millimeter Imaging of FS Tau A: Possible Streamers in Misaligned Circumbinary Disk System
• Stellar Obliquity Excitation via Disk Dispersal-Driven Resonances in Binaries
• Kozai-Lidov oscillations triggered by a tilt instability of detached circumplanetary discs
• The broad emission line asymmetry in low mass ratio of supermassive binary black holes on elliptical orbits
• Analytical and Numerical Analysis of Circumbinary Disk Dynamics -- I: Coplanar Systems
• Planetary architectures under the influence of a stellar binary
• Probing dust and grain growth in the optically thick circumbinary ring of V892 Tau
• The influence of tight binaries on proto-planetary disk masses
• Analytical and Numerical Methods for Circumbinary Disk Dynamics -- II: Inclined Disks
• Insights from Analytical Theory of Eccentric Circumbinary Disks
• Brightness variability in polar circumbinary disks
• Disc breaking through forced eccentricity growth
• Sculpting the outer edge of accretion disks in pre-circumbinary binary black hole systems
• Low Spin-Axis Variations of Circumbinary Planets
• The GRAVITY young stellar object survey V. The orbit of the T Tauri binary star WW Cha
• On the cavity size in circumbinary discs
• Non-periodic type I Be/X-ray binary outbursts
• The morphology of CSCha circumbinary disk suggesting the existence of a Saturn-mass planet
• Accretion Kinematics in the T Tauri Binary TWA 3A: Evidence for Preferential Accretion onto the TWA 3A Primary