Dynamics of Binary System around Supermassive Black Hole
arXiv:2303.16553 · doi:10.1103/PhysRevD.107.124039
Abstract
We discuss motion of a binary system around a supermassive black hole. Using Fermi-Walker transport, we construct a local inertial reference frame and set up a Newtonian binary system. Assuming a circular geodesic observer around a Schwarzschild black hole, we write down the equations of motion of a binary. Introducing a small acceleration of the observer, we remove the interaction terms between the center of mass (CM) of a binary and its relative coordinates. The CM follows the observer's orbit, but its motion deviates from an exact circular geodesic. We first solve the relative motion of a binary system, and then find the motion of the CM by the perturbation equations with the small acceleration. We show that there appears the Kozai-Lidov (KL) oscillations when a binary is compact and the initial inclination is larger than a critical angle. In a hard binary system, KL oscillations are regular, whereas in a soft binary system, oscillations are irregular both in period and in amplitude, although stable. We find an orbital flip when the initial inclination is large. As for the motion of the CM, the radial deviations from a circular orbit become stable oscillations with very small amplitude.
arXiv comment34 pages,12 figures, 2 tables
References in corpus (48)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
- The Eccentric Kozai-Lidov Effect and Its Applications
- Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1
- Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
- Properties and astrophysical implications of the 150 Msun binary black hole merger GW190521
- Open data from the first and second observing runs of Advanced LIGO and Advanced Virgo
- Secular evolution of compact binaries near massive black holes: gravitational wave sources and other exotica
- Secular Dynamics in Hierarchical Three-Body Systems
- The Formation of Eccentric Compact Binary Inspirals and the Role of Gravitational Wave Emission in Binary-Single Stellar Encounters
- On the Formation of Hot Jupiters in Stellar Binaries
- A survey of the high order multiplicity of nearby solar-type binary stars with Robo-AO
- Resonant Post-Newtonian Eccentricity Excitation in Hierarchical Three-body Systems
- Hierarchical mergers of stellar-mass black holes and their gravitational-wave signatures
- The Eccentric Kozai Mechanism for a Test Particle
- Long-Term Cycling of Kozai-Lidov Cycles: Extreme Eccentricities and Inclinations Excited by a Distant Eccentric Perturber
- Black hole mergers and blue stragglers from hierarchical triples formed in globular clusters
- Suppression of extreme orbital evolution in triple systems with short range forces
- Eccentricity growth and orbit flip in coplanar hierarchical three body systems
- The Fate of Binaries in the Galactic Center: The Mundane and the Exotic
- On incorporating post-Newtonian effects in N-body dynamics
- Black hole tidal problem in the Fermi normal coordinates
- Triplets of supermassive black holes: Astrophysics, Gravitational Waves and Detection
- Alignment of Irregular Grains by Mechanical Torques
- Detecting hierarchical stellar systems with LISA
- A hidden friend for the galactic center black hole, Sgr A*
- Detecting Supermassive Black Hole-Induced Binary Eccentricity Oscillations with LISA
- Binary Mergers near a Supermassive Black Hole: Relativistic Effects in Triples
- A Direct Probe of Mass Density Near Inspiraling Binary Black Holes
- Mass and rate of hierarchical black hole mergers in young, globular and nuclear star clusters
- Relativistic three-body effects in hierarchical triples
- Riemann normal coordinates, Fermi reference system and the geodesic deviation equation
- Gravitational tuning forks and hierarchical triple systems
- GW170817A as a Hierarchical Black Hole Merger
- Gravitational Waves from Hierarchical Triple Systems with Kozai-Lidov Oscillation
- Relativistic effects in the tidal interaction between a white dwarf and a massive black hole in Fermi normal coordinates
- Post-Newtonian effects in N-body dynamics: Relativistic precession and conserved quantities in hierarchical triple systems
- How nucleation and luminosity shape faint dwarf galaxies
- Tidal deformations of a binary system induced by an external Kerr black hole
- Effective two-body approach to the hierarchical three-body problem
- Binaries Wandering Around Supermassive Black Holes Due To Gravito-electromagnetism
- Probing Intermediate Mass Black Holes in M87 through Multi-Wavelength Gravitational Wave Observations
- Extended Fermi coordinates
- Probing the Spins of Supermassive Black Holes with Gravitational Waves from Surrounding Compact Binaries
- Tidal effects away from the equatorial plane in Kerr backgrounds
- Compact binary inspiral: Nature is perfectly happy with a circle
- Post-Newtonian Kozai-Lidov Mechanism and its Effect on Cumulative Shift of Periastron Time of Binary Pulsar
Cited by in corpus (7)
- Binary mergers in strong gravity background of Kerr black hole
- Spin wave optics for gravitational waves lensed by a Kerr black hole
- Tidal forces in parametrized spacetime: Rezzolla-Zhidenko parametrization
- Strong-gravity precession resonances for binary systems orbiting a Schwarzschild black hole
- Observable signature of magnetic tidal coupling in hierarchical triple systems
- Perturbative Frequency Expansion for Nearly Monochromatic Binary Black Holes Detectable with LISA
- Tidal disruptions of close white dwarf binaries by intermediate mass black holes