The Kozai-Lidov mechanism in hydrodynamical disks. II. Effects of binary and disk parameters
Abstract
Martin et al. (2014b) showed that a substantially misaligned accretion disk around one component of a binary system can undergo global damped Kozai–Lidov (KL) oscillations. During these oscillations, the inclination and eccentricity of the disk are periodically exchanged. However, the robustness of this mechanism and its dependence on the system parameters were unexplored. In this paper, we use three-dimensional hydrodynamical simulations to analyze how various binary and disk parameters affect the KL mechanism in hydrodynamical disks. The simulations include the effect of gas pressure and viscosity, but ignore the effects of disk self-gravity. We describe results for different numerical resolutions, binary mass ratios and orbital eccentricities, initial disk sizes, initial disk surface density profiles, disk sound speeds, and disk viscosities. We show that the KL mechanism can operate for a wide range of binary-disk parameters. We discuss the applications of our results to astrophysical disks in various accreting systems.
- Authors:
-
- Rice Univ., Houston, TX (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Space Telescope Science Institute, Baltimore, MD (United States)
- Univ. of Nevada, Las Vegas, Las Vegas, NV (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1221420
- Report Number(s):
- LA-UR-15-22267
Journal ID: ISSN 1538-4357
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- The Astrophysical Journal (Online)
- Additional Journal Information:
- Journal Name: The Astrophysical Journal (Online); Journal Volume: 807; Journal Issue: 1; Journal ID: ISSN 1538-4357
- Publisher:
- Institute of Physics (IOP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; accretion; accretion disks - binaries: general - hydrodynamics - planets and satellites: formation
Citation Formats
Fu, Wen, Lubow, Stephen H., and Martin, Rebecca G. The Kozai-Lidov mechanism in hydrodynamical disks. II. Effects of binary and disk parameters. United States: N. p., 2015.
Web. doi:10.1088/0004-637X/807/1/75.
Fu, Wen, Lubow, Stephen H., & Martin, Rebecca G. The Kozai-Lidov mechanism in hydrodynamical disks. II. Effects of binary and disk parameters. United States. https://doi.org/10.1088/0004-637X/807/1/75
Fu, Wen, Lubow, Stephen H., and Martin, Rebecca G. Wed .
"The Kozai-Lidov mechanism in hydrodynamical disks. II. Effects of binary and disk parameters". United States. https://doi.org/10.1088/0004-637X/807/1/75. https://www.osti.gov/servlets/purl/1221420.
@article{osti_1221420,
title = {The Kozai-Lidov mechanism in hydrodynamical disks. II. Effects of binary and disk parameters},
author = {Fu, Wen and Lubow, Stephen H. and Martin, Rebecca G.},
abstractNote = {Martin et al. (2014b) showed that a substantially misaligned accretion disk around one component of a binary system can undergo global damped Kozai–Lidov (KL) oscillations. During these oscillations, the inclination and eccentricity of the disk are periodically exchanged. However, the robustness of this mechanism and its dependence on the system parameters were unexplored. In this paper, we use three-dimensional hydrodynamical simulations to analyze how various binary and disk parameters affect the KL mechanism in hydrodynamical disks. The simulations include the effect of gas pressure and viscosity, but ignore the effects of disk self-gravity. We describe results for different numerical resolutions, binary mass ratios and orbital eccentricities, initial disk sizes, initial disk surface density profiles, disk sound speeds, and disk viscosities. We show that the KL mechanism can operate for a wide range of binary-disk parameters. We discuss the applications of our results to astrophysical disks in various accreting systems.},
doi = {10.1088/0004-637X/807/1/75},
journal = {The Astrophysical Journal (Online)},
number = 1,
volume = 807,
place = {United States},
year = {Wed Jul 01 00:00:00 EDT 2015},
month = {Wed Jul 01 00:00:00 EDT 2015}
}
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Works referenced in this record:
Obliquities of hot Jupiter host Stars: Evidence for Tidal Interactions and Primordial Misalignments
journal, August 2012
- Albrecht, Simon; Winn, Joshua N.; Johnson, John A.
- The Astrophysical Journal, Vol. 757, Issue 1
Dynamics of binary-disk interaction. 1: Resonances and disk gap sizes
journal, January 1994
- Artymowicz, Pawel; Lubow, Stephen H.
- The Astrophysical Journal, Vol. 421
Hydrodynamic instability in eccentric astrophysical discs
journal, October 2014
- Barker, A. J.; Ogilvie, G. I.
- Monthly Notices of the Royal Astronomical Society, Vol. 445, Issue 3
Observational implications of precessing protostellar discs and jets
journal, October 2000
- Bate, M. R.; Bonnell, I. A.; Clarke, C. J.
- Monthly Notices of the Royal Astronomical Society, Vol. 317, Issue 4
Chaotic star formation and the alignment of stellar rotation with disc and planetary orbital axes
journal, January 2010
- Bate, M. R.; Lodato, G.; Pringle, J. E.
- Monthly Notices of the Royal Astronomical Society, Vol. 401, Issue 3
A primordial origin for misalignments between stellar spin axes and planetary orbits
journal, November 2012
- Batygin, Konstantin
- Nature, Vol. 491, Issue 7424
The Kozai Mechanism and the Evolution of Binary Supermassive Black Holes
journal, October 2002
- Blaes, Omer; Lee, Man Hoi; Socrates, Aristotle
- The Astrophysical Journal, Vol. 578, Issue 2
Massive circumbinary discs and the formation of multiple systems
journal, July 1994
- Bonnell, I. A.; Bate, M. R.
- Monthly Notices of the Royal Astronomical Society, Vol. 269, Issue 1
Tidal Stellar Disruptions by Massive Black hole Pairs. ii. Decaying Binaries
journal, February 2011
- Chen, Xian; Sesana, Alberto; Madau, Piero
- The Astrophysical Journal, Vol. 729, Issue 1
A class of warm Jupiters with mutually inclined, apsidally misaligned close friends
journal, October 2014
- Dawson, R. I.; Chiang, E.
- Science, Vol. 346, Issue 6206
Warm Jupiters need Close “Friends” for High-Eccentricity Migration—A Stringent Upper Limit on the Perturber'S Separation
journal, December 2013
- Dong, Subo; Katz, Boaz; Socrates, Aristotle
- The Astrophysical Journal, Vol. 781, Issue 1
Shrinking Binary and Planetary Orbits by Kozai Cycles with Tidal Friction
journal, November 2007
- Fabrycky, Daniel; Tremaine, Scott
- The Astrophysical Journal, Vol. 669, Issue 2
Secular Evolution of Hierarchical Triple Star Systems
journal, May 2000
- Ford, Eric B.; Kozinsky, Boris; Rasio, Frederic A.
- The Astrophysical Journal, Vol. 535, Issue 1
Orbital coplanarity in solar-type binary systems: Implications for planetary system formation and detection
journal, January 1994
- Hale, A.
- The Astronomical Journal, Vol. 107
Dynamical evolution of triple stars.
journal, April 1968
- Harrington, R. S.
- The Astronomical Journal, Vol. 73
Chaotic variations in the eccentricity of the planet orbiting 16 Cygni B
journal, March 1997
- Holman, Matthew; Touma, Jihad; Tremaine, Scott
- Nature, Vol. 386, Issue 6622
The Kozai Mechanism and the Stability of Planetary Orbits in Binary Star Systems
journal, May 1997
- Innanen, K. A.; Zheng, J. Q.; Mikkola, S.
- The Astronomical Journal, Vol. 113
Misaligned protoplanetary disks in a young binary star system
journal, July 2014
- Jensen, Eric L. N.; Akeson, Rachel
- Nature, Vol. 511, Issue 7511
Accretion disc viscosity: what do warped discs tell us?
journal, March 2013
- King, A. R.; Livio, M.; Lubow, S. H.
- Monthly Notices of the Royal Astronomical Society, Vol. 431, Issue 3
Growing supermassive black holes by chaotic accretion
journal, November 2006
- King, A. R.; Pringle, J. E.
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 373, Issue 1
Tidal friction in triple stars
journal, October 1998
- Kiseleva, L. G.; Eggleton, P. P.; Mikkola, S.
- Monthly Notices of the Royal Astronomical Society, Vol. 300, Issue 1
Secular perturbations of asteroids with high inclination and eccentricity
journal, November 1962
- Kozai, Yoshihide
- The Astronomical Journal, Vol. 67
HEAD-ON COLLISIONS OF WHITE DWARFS IN TRIPLE SYSTEMS COULD EXPLAIN TYPE Ia SUPERNOVAE
journal, November 2013
- Kushnir, Doron; Katz, Boaz; Dong, Subo
- The Astrophysical Journal, Vol. 778, Issue 2
The hydrodynamical response of a tilted circumbinary disc: linear theory and non-linear numerical simulations
journal, February 1997
- Larwood, J. D.; Papaloizou, J. C. B.
- Monthly Notices of the Royal Astronomical Society, Vol. 285, Issue 2
Viscous excretion discs around Be stars
journal, May 1991
- Lee, Umin; Saio, Hideyuki; Osaki, Yoji
- Monthly Notices of the Royal Astronomical Society, Vol. 250, Issue 2
Eccentricity Growth and Orbit flip in Near-Coplanar Hierarchical Three-Body Systems
journal, April 2014
- Li, Gongjie; Naoz, Smadar; Kocsis, Bence
- The Astrophysical Journal, Vol. 785, Issue 2
The evolution of orbits of artificial satellites of planets under the action of gravitational perturbations of external bodies
journal, October 1962
- Lidov, M. L.
- Planetary and Space Science, Vol. 9, Issue 10
The Eccentric Kozai Mechanism for a test Particle
journal, November 2011
- Lithwick, Yoram; Naoz, Smadar
- The Astrophysical Journal, Vol. 742, Issue 2
Suppression of extreme orbital evolution in triple systems with short-range forces
journal, December 2014
- Liu, Bin; Muñoz, Diego J.; Lai, Dong
- Monthly Notices of the Royal Astronomical Society, Vol. 447, Issue 1
Warp diffusion in accretion discs: a numerical investigation: Warp diffusion in accretion discs
journal, September 2007
- Lodato, Giuseppe; Pringle, J. E.
- Monthly Notices of the Royal Astronomical Society, Vol. 381, Issue 3
On the diffusive propagation of warps in thin accretion discs
journal, March 2010
- Lodato, Giuseppe; Price, Daniel J.
- Monthly Notices of the Royal Astronomical Society
Tidal Torques on Misaligned Disks in Binary Systems
journal, February 2015
- Lubow, Stephen H.; Martin, Rebecca G.; Nixon, Chris
- The Astrophysical Journal, Vol. 800, Issue 2
On the Tilting of Protostellar Disks by Resonant Tidal Effects
journal, July 2000
- Lubow, S. H.; Ogilvie, G. I.
- The Astrophysical Journal, Vol. 538, Issue 1
Secular Interactions between Inclined Planets and a Gaseous Disk
journal, October 2001
- Lubow, S. H.; Ogilvie, G. I.
- The Astrophysical Journal, Vol. 560, Issue 2
The Evolution of Viscous Discs and the Origin of the Nebular Variables
journal, September 1974
- Lynden-Bell, D.; Pringle, J. E.
- Monthly Notices of the Royal Astronomical Society, Vol. 168, Issue 3
GIANT OUTBURSTS IN Be/X-RAY BINARIES
journal, July 2014
- Martin, Rebecca G.; Nixon, Chris; Armitage, Philip J.
- The Astrophysical Journal, Vol. 790, Issue 2
The Kozai-Lidov Mechanism in Hydrodynamical Disks
journal, August 2014
- Martin, Rebecca G.; Nixon, Chris; Lubow, Stephen H.
- The Astrophysical Journal, Vol. 792, Issue 2
Tidal warping and precession of Be star decretion discs: Tidal warping of Be star decretion discs
journal, August 2011
- Martin, Rebecca G.; Pringle, J. E.; Tout, Christopher A.
- Monthly Notices of the Royal Astronomical Society, Vol. 416, Issue 4
Supernova kicks and misaligned Be star binaries
journal, August 2009
- Martin, Rebecca G.; Tout, Christopher A.; Pringle, J. E.
- Monthly Notices of the Royal Astronomical Society, Vol. 397, Issue 3
The High Eccentricity of the Planet Orbiting 16 Cygni B
journal, March 1997
- Mazeh, Tsevi; Krymolowski, Yuval; Rosenfeld, Gady
- The Astrophysical Journal, Vol. 477, Issue 2
Four‐Body Effects in Globular Cluster Black Hole Coalescence
journal, September 2002
- Miller, M. Coleman; Hamilton, Douglas P.
- The Astrophysical Journal, Vol. 576, Issue 2
Hot Jupiters from secular planet–planet interactions
journal, May 2011
- Naoz, Smadar; Farr, Will M.; Lithwick, Yoram
- Nature, Vol. 473, Issue 7346
Secular dynamics in hierarchical three-body systems
journal, March 2013
- Naoz, Smadar; Farr, Will M.; Lithwick, Yoram
- Monthly Notices of the Royal Astronomical Society, Vol. 431, Issue 3
Resonant Post-Newtonian Eccentricity Excitation in Hierarchical Three-Body Systems
journal, August 2013
- Naoz, Smadar; Kocsis, Bence; Loeb, Abraham
- The Astrophysical Journal, Vol. 773, Issue 2
The Alignment of Disk and Black Hole Spins in Active Galactic Nuclei
journal, October 1998
- Natarajan, Priyamvada; Pringle, J. E.
- The Astrophysical Journal, Vol. 506, Issue 2
Orbital and Collisional Evolution of the Irregular Satellites
journal, July 2003
- Nesvorn, David; Alvarellos, Jose L. A.; Dones, Luke
- The Astronomical Journal, Vol. 126, Issue 1
Stable counteralignment of a circumbinary disc: Stable counteralignment
journal, May 2012
- Nixon, Christopher J.
- Monthly Notices of the Royal Astronomical Society, Vol. 423, Issue 3
Retrograde accretion and merging supermassive black holes: Retrograde inflow and merging SMBH
journal, March 2011
- Nixon, C. J.; Cossins, P. J.; King, A. R.
- Monthly Notices of the Royal Astronomical Society, Vol. 412, Issue 3
The final parsec problem: aligning a binary with an external accretion disc: Disc-binary alignment
journal, September 2011
- Nixon, C. J.; King, A. R.; Pringle, J. E.
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 417, Issue 1
Broken discs: warp propagation in accretion discs: Broken discs
journal, February 2012
- Nixon, Christopher J.; King, Andrew R.
- Monthly Notices of the Royal Astronomical Society, Vol. 421, Issue 2
Tearing up the disc: misaligned accretion on to a binary
journal, July 2013
- Nixon, Chris; King, Andrew; Price, Daniel
- Monthly Notices of the Royal Astronomical Society, Vol. 434, Issue 3
The Formation of Low-Mass Binary star Systems via Turbulent Fragmentation
journal, November 2010
- Offner, Stella S. R.; Kratter, Kaitlin M.; Matzner, Christopher D.
- The Astrophysical Journal, Vol. 725, Issue 2
Non-linear fluid dynamics of eccentric discs
journal, July 2001
- Ogilvie, G. I.
- Monthly Notices of the Royal Astronomical Society, Vol. 325, Issue 1
Local and global dynamics of eccentric astrophysical discs
journal, October 2014
- Ogilvie, Gordon I.; Barker, Adrian J.
- Monthly Notices of the Royal Astronomical Society, Vol. 445, Issue 3
Precessing warped accretion discs in X-ray binaries
journal, February 2001
- Ogilvie, G. I.; Dubus, G.
- Monthly Notices of the Royal Astronomical Society, Vol. 320, Issue 4
A model of accretion disks in close binaries
journal, September 1977
- Paczynski, B.
- The Astrophysical Journal, Vol. 216
The local instability of steady astrophysical flows with non circular streamlines with application to differentially rotating disks with free eccentricity
journal, March 2005
- Papaloizou, J. C. B.
- Astronomy & Astrophysics, Vol. 432, Issue 3
Global numerical simulations of differentially rotating disks with free eccentricity
journal, March 2005
- Papaloizou, J. C. B.
- Astronomy & Astrophysics, Vol. 432, Issue 3
The time-dependence of non-planar accretion discs
journal, April 1983
- Papaloizou, J. C. B.; Pringle, J. E.
- Monthly Notices of the Royal Astronomical Society, Vol. 202, Issue 4
Steady-State Planet Migration by the Kozai-Lidov Mechanism in Stellar Binaries
journal, January 2015
- Petrovich, Cristobal
- The Astrophysical Journal, Vol. 799, Issue 1
Classical Be Stars
journal, October 2003
- Porter, John M.; Rivinius, Thomas
- Publications of the Astronomical Society of the Pacific, Vol. 115, Issue 812
SPLASH : An Interactive Visualisation Tool for Smoothed Particle Hydrodynamics Simulations
journal, January 2007
- Price, Daniel J.
- Publications of the Astronomical Society of Australia, Vol. 24, Issue 3
Smoothed particle hydrodynamics and magnetohydrodynamics
journal, February 2012
- Price, Daniel J.
- Journal of Computational Physics, Vol. 231, Issue 3
A comparison between grid and particle methods on the statistics of driven, supersonic, isothermal turbulence: Supersonic turbulence: grid versus SPH
journal, June 2010
- Price, Daniel J.; Federrath, Christoph
- Monthly Notices of the Royal Astronomical Society
Self-induced warping of accretion discs
journal, July 1996
- Pringle, J. E.
- Monthly Notices of the Royal Astronomical Society, Vol. 281, Issue 1
Can Kozai–Lidov cycles explain Kepler-78b?
journal, February 2015
- Rice, Ken
- Monthly Notices of the Royal Astronomical Society, Vol. 448, Issue 2
Chaotic dynamics of stellar spin in binaries and the production of misaligned hot Jupiters
journal, September 2014
- Storch, N. I.; Anderson, K. R.; Lai, D.
- Science, Vol. 345, Issue 6202
Chaotic dynamics of stellar spin driven by planets undergoing Lidov-Kozai oscillations: resonances and origin of chaos
journal, February 2015
- Storch, N. I.; Lai, D.
- Monthly Notices of the Royal Astronomical Society, Vol. 448, Issue 2
An Edge-on Circumstellar Disk in the Young Binary System HK Tauri
journal, July 1998
- Stapelfeldt, Karl R.; Krist, John E.; Ménard, François
- The Astrophysical Journal, Vol. 502, Issue 1
High Orbital Eccentricities of Extrasolar Planets Induced by the Kozai Mechanism
journal, July 2005
- Takeda, Genya; Rasio, Frederic A.
- The Astrophysical Journal, Vol. 627, Issue 2
Extreme Orbital Evolution from Hierarchical Secular Coupling of two Giant Planets
journal, December 2013
- Teyssandier, Jean; Naoz, Smadar; Lizarraga, Ian
- The Astrophysical Journal, Vol. 779, Issue 2
Warped accretion discs and the long periods in X-ray binaries
journal, September 1999
- Wijers, Ralph A. M. J.; Pringle, J. E.
- Monthly Notices of the Royal Astronomical Society, Vol. 308, Issue 1
Alma Observations of a Misaligned Binary Protoplanetary disk System in Orion
journal, November 2014
- Williams, Jonathan P.; Mann, Rita K.; Francesco, James Di
- The Astrophysical Journal, Vol. 796, Issue 2
Planet Migration and Binary Companions: The Case of HD 80606b
journal, May 2003
- Wu, Y.; Murray, N.
- The Astrophysical Journal, Vol. 589, Issue 1
Interaction between massive planets on inclined orbits and circumstellar discs
journal, March 2013
- Xiang-Gruess, M.; Papaloizou, J. C. B.
- Monthly Notices of the Royal Astronomical Society, Vol. 431, Issue 2
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journal, October 2018
- Reig, P.; Blinov, D.
- Astronomy & Astrophysics, Vol. 619
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journal, December 2018
- Zhu, Zhaohuan
- Monthly Notices of the Royal Astronomical Society, Vol. 483, Issue 3
Hamiltonian hydrodynamics of eccentric discs
journal, December 2018
- Ogilvie, Gordon I.; Lynch, Elliot M.
- Monthly Notices of the Royal Astronomical Society, Vol. 483, Issue 4
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journal, August 2019
- Martin, Rebecca G.; Franchini, Alessia
- Monthly Notices of the Royal Astronomical Society, Vol. 489, Issue 2
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journal, September 2019
- Martin, Rebecca G.; Lubow, Stephen H.
- Monthly Notices of the Royal Astronomical Society, Vol. 490, Issue 1
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journal, November 2019
- Franchini, Alessia; Martin, Rebecca G.; Lubow, Stephen H.
- Monthly Notices of the Royal Astronomical Society, Vol. 491, Issue 4
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journal, February 2019
- Franchini, Alessia; Martin, Rebecca G.; Lubow, Stephen H.
- Monthly Notices of the Royal Astronomical Society, Vol. 485, Issue 1
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journal, April 2019
- Smallwood, Jeremy L.; Lubow, Stephen H.; Franchini, Alessia
- Monthly Notices of the Royal Astronomical Society, Vol. 486, Issue 2
Planet Formation in Highly Inclined Binary Systems. II. Orbital Alignment and Planet Growth Boost in Intermediate Separation Binaries
journal, July 2018
- Zhang, Yapeng; Li, Qingqin; Xie, Ji-Wei
- The Astrophysical Journal, Vol. 861, Issue 2
Hamiltonian hydrodynamics of eccentric discs
journalarticle, January 2019
- Ogilvie, Gi; Lynch, Em
- Oxford University Press (OUP)
Inclined Massive Planets in a Protoplanetary Disc: Gap Opening, Disc Breaking, and Observational Signatures
text, January 2018
- Zhu, Zhaohuan
- arXiv
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text, January 2019
- Franchini, Alessia; Martin, Rebecca G.; Lubow, Stephen H.
- arXiv
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text, January 2019
- Smallwood, Jeremy L.; Lubow, Stephen H.; Franchini, Alessia
- arXiv
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text, January 2019
- Martin, Rebecca G.; Lubow, Stephen H.
- arXiv
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text, January 2019
- Martin, Rebecca G.; Franchini, Alessia
- arXiv
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text, January 2019
- Franchini, Alessia; Martin, Rebecca G.; Lubow, Stephen H.
- arXiv