The fate of chaotic binaries
arXiv:gr-qc/0010100 · doi:10.1103/PhysRevD.67.044013
Abstract
A typical stellar mass black hole with a lighter companion is shown to succumb to a chaotic precession of the orbital plane. As a result, the optimal candidates for the direct detection of gravitational waves by Earth based interferometers can show irregular modulation of the waveform during the last orbits before plunge. The precession and the subsequent modulation of the gravitational radiation depends on the mass ratio, eccentricity, and spins. The smaller the mass of the companion, the more prominent the effect of the precession. The most important parameters are the spin magnitudes and misalignments. If the spins are small and nearly aligned with the orbital angular momentum, then there will be no chaotic precession while increasing both the spin magnitudes and misalignments increases the erratic precession. A large eccentricity can be induced by large, misaligned spins but does not seem to be required for chaos. An irregular precession of the orbital plane will generate irregularities in the gravitational wave frequency but may have a lesser effect on the total number of cycles observed.
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References in corpus (12)
- Supernovae, Jets, and Collapsars
- Coalescence of Two Spinning Black Holes: An Effective One-Body Approach
- Spin-Orbit Misalignment in Close Binaries with Two Compact Objects
- Gravitational wave astronomy
- Gravitational Wave Astronomy: in Anticipation of First Sources to be Detected
- Gravity Waves, Chaos, and Spinning Compact Binaries
- Ruling Out Chaos in Compact Binary Systems
- Comment on "Ruling out chaos in compact binary systems"
- Gravity waves from relativistic binaries
- Comment on "Gravity Waves, Chaos, and Spinning Compact Binaries"
- Comment on "Gravity Waves, Chaos, and Spinning Compact Binaries"
- Gravitational Wave Chirp Search: Economization of PN Matched Filter Bank via Cardinal Interpolation
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- Chaos and dynamics of spinning particles in Kerr spacetime
- A survey of spinning test particle orbits in Kerr spacetime
- Free motion around black holes with discs or rings: between integrability and chaos - II
- Resurvey of order and chaos in spinning compact binaries
- The dynamics of precessing binary black holes using the post-Newtonian approximation
- Symplectic structure of post-Newtonian Hamiltonian for spinning compact binaries
- Free motion around black holes with discs or rings: between integrability and chaos - I
- Dynamics of Black Hole Pairs I: Periodic Tables
- Doubly Transient Chaos: The Generic Form of Chaos in Autonomous Dissipative Systems
- Chaos and Order in Models of Black Hole Pairs
- Homoclinic Orbits around Spinning Black Holes II: The Phase Space Portrait
- Symplectic Integration of Post-Newtonian Equations of Motion with Spin
- Dynamics of Black Hole Pairs II: Spherical Orbits and the Homoclinic Limit of Zoom-Whirliness
- The deterministic nature of conservative post-Newtonian accurate dynamics of compact binaries with leading order spin-orbit interaction
- Dynamics of charged particles and magnetic dipoles around magnetized quasi-Schwarzschild black holes
- Chaos in two black holes with next-to-leading order spin-spin interactions
- Second post-Newtonian Lagrangian dynamics of spinning compact binaries
- Integrability of eccentric, spinning black hole binaries up to second post-Newtonian order
- Extended phase-space symplectic-like integrators for coherent post-Newtonian Euler-Lagrange equations
- Ultralight scalars and resonances in black-hole physics
- Revised research about chaotic dynamics in Manko et al. spacetime
- A note on the equivalence of Lagrangian and Hamiltonian formulations at post-Newtonian approximations
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- Parametric derivation of the observable relativistic periastron advance for binary pulsars
- Energy-conserving integrator for conservative Hamiltonian systems with ten-dimensional phase space
- Escape of photons from two fixed extreme Reissner-Nordström black holes
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- GPU accelerated manifold correction method for spinning compact binaries