Transverse Doppler effect and parameter estimation of LISA three-body systems
arXiv:2212.09753 · doi:10.1103/PhysRevD.108.024002
Abstract
Some binary black hole systems potentially observable in LISA could be in orbit around a supermassive black hole (SMBH). The imprint of relativistic three-body effects on the waveform of the binary can be used to estimate all the parameters of the triple system, in particular the mass of the SMBH. We determine the phase shift in the waveform due to the Doppler effect of the SMBH up to second order in velocity, which breaks a well-known exact degeneracy of the lowest-order Doppler effect between the mass of the SMBH and its inclination. We perform several parameter estimations for LISA signals including this additional dephasing in the wave, showing that one can determine accurately all parameters of the three-body system. Our results indicate that one can measure the mass of a M SMBH with an accuracy better than (resp. ) by monitoring the waveform of a binary system whose period around the SMBH is less 100 yr (resp. 20 yr).
References in corpus (46)
- The Eccentric Kozai-Lidov Effect and Its Applications
- Double Compact Objects I: The Significance Of The Common Envelope On Merger Rates
- Black hole mergers in the universe
- Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
- Properties and astrophysical implications of the 150 Msun binary black hole merger GW190521
- Can environmental effects spoil precision gravitational-wave astrophysics?
- Computationally efficient models for the dominant and sub-dominant harmonic modes of precessing binary black holes
- Rapid and Bright Stellar-mass Binary Black Hole Mergers in Active Galactic Nuclei
- Gravitational waves from scattering of stellar-mass black holes in galactic nuclei
- Assisted Inspirals of Stellar Mass Black Holes Embedded in AGN Disks: Solving the "Final AU Problem"
- Tertiary companions to close spectroscopic binaries
- The promise of multi-band gravitational wave astronomy
- Secular Dynamics in Hierarchical Three-Body Systems
- Candidate Electromagnetic Counterpart to the Binary Black Hole Merger Gravitational Wave Event S190521g
- Merging black hole binaries in galactic nuclei: implications for advanced-LIGO detections
- Formation and Evolution of Compact Object Binaries in AGN Disks
- A millisecond pulsar in a stellar triple system
- Possible Indirect Confirmation of the Existence of Pop III Massive Stars by Gravitational Wave
- Eccentric Black Hole Mergers in Dense Star Clusters: The Role of Binary-Binary Encounters
- Dynamical Formation of the GW150914 Binary Black Hole
- Migration Traps in Disks Around Supermassive Black Holes
- Black hole mergers and blue stragglers from hierarchical triples formed in globular clusters
- Greatly enhanced merger rates of compact-object binaries in non-spherical nuclear star clusters
- AGN Disks Harden the Mass Distribution of Stellar-mass Binary Black Hole Mergers
- Constraints on the astrophysical environment of binaries with gravitational-wave observations
- The Role of the Kozai-Lidov Mechanism in Black Hole Binary Mergers in Galactic Centers
- Modeling the gravitational wave signature of neutron star black hole coalescences: PhenomNSBH
- Environmental Effects for Gravitational-wave Astrophysics
- Probing stellar binary black hole formation in galactic nuclei via the imprint of their center of mass acceleration on their gravitational wave signal
- Black Hole Mergers from Hierarchical Triples in Dense Star Clusters
- Detectable environmental effects in GW190521-like black-hole binaries with LISA
- The effect of matter structure on the gravitational waveform
- Detecting hierarchical stellar systems with LISA
- First Stellar Binary Black Holes: Strongest Gravitational Wave Burst Sources
- The peculiar acceleration of stellar-origin black hole binaries: measurement and biases with LISA
- Binary radial velocity measurements with space-based gravitational-wave detectors
- Gravitational-wave detection and parameter estimation for accreting black-hole binaries and their electromagnetic counterpart
- A Direct Probe of Mass Density Near Inspiraling Binary Black Holes
- Parameter estimation of stellar-mass black hole binaries with LISA
- Ready-to-use analytic model for gravitational waves from a hierarchical triple with Kozai-Lidov oscillations
- Direct determination of supermassive black hole properties with gravitational-wave radiation from surrounding stellar-mass black hole binaries
- Frequency-domain waveform approximants capturing Doppler shifts
- Precession resonances in hierarchical triple systems
- Effective two-body approach to the hierarchical three-body problem
- Effective two-body approach to the hierarchical three-body problem: quadrupole to 1PN
- Hunting intermediate-mass black holes with LISA binary radial velocity measurements
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- Gravitational Waves in the Circular Restricted Three Body Problem
- Frequency shift of light in Kerr spacetime
- Constraining Kerr supermassive black hole properties using gravitational waves from inspiraling stellar-mass binary black holes