2014/12/24 by Stephen H. Lubow, Rebecca G. Martin, C. J. Nixon +1 · 90 citations
Mathematics · Physics and Astronomy · #Astro and Planetary Science #Astrophysics #Astrophysics and Star Formation Studies #Atomic physics #Binary number #Circular orbit #Classical mechanics #Geometry #Mathematics #Mechanics #Physics #Quantum mechanics #Resonance (particle physics) #Rotation (mathematics) #Stellar, planetary, and galactic studies #Tidal force #Torque #Truncation (statistics) #astro-ph.EP #astro-ph.SR
paper · pdf · doi:10.1088/0004-637x/800/2/96
published in The Astrophysical Journal 800(2), 96 (IOP Publishing) · To appear in the Astrophysical Journal, 13 pages, 6 figures
arxiv created 2014/12/24 · openalex publication_date 2015/02/17 · arxiv updated 2015/06/23 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
We extend previous studies of the tidal truncation of coplanar disks in binary systems to the more general case of noncoplanar disks. As in the prograde coplanar case, Lindblad resonances play a key role in tidal truncation. We analyze the tidal torque acting on a misaligned nearly circular disk in a circular orbit binary system. We concentrate on the 2:1 inner Lindblad resonance associated with the m = 2 tidal forcing (for azimuthal wavenumber m ) that plays a major role in the usual coplanar case. We determine the inclination dependence of this torque, which is approximately cos 8 ( i /2) for misalignment angle i . Compared to the prograde coplanar case ( i = 0), this torque decreases by a factor of about 2 for i = π/6 and by a factor of about 20 for i = π/2. The Lindblad torque decreases to zero for a tilt angle of π (counter-rotation), consistent with previous investigations. The effects of higher order resonances associated with m > 2 tidal forcing may contribute somewhat, but are much more limited than in the i = 0 case. These results suggest that misaligned disks in binary systems can be significantly extended compared to their coplanar counterparts. In cases where a disk is sufficiently inclined and viscous, it can overrun all Lindblad resonances and overflow the Roche lobe of the disk central object.