Gravitational Waves in the Circular Restricted Three Body Problem
arXiv:2309.15510 · doi:10.1088/1361-6382/ad36a7
Abstract
The prospect of unprecedented high-quality data of gravitational waves in the upcoming decades demands a theoretical effort to optimally study and analyze the signals that next generation detectors will provide. Here we study the gravitational wave emission and related dynamics during the inspiralling phase of the Circular Restricted Three Body Problem, a modification of the conventional binary scenario in which a small third object co-rotates with the parent binary system. Specifically, we obtain analytic expressions for the emitted power, frequency variation and other dynamical variables that describe the evolution of the system. As a key highlight, we find that the presence of the third body actually slows down the coalescence of the binary, which can be partially interpreted as an effective rescaling of the binary's chirp-mass. Our analysis assumes semi-Keplerian orbits for the particles and a highly mass asymmetric parent binary needed for the stability of orbits.
arXiv comment23 pages, 10 figures
References in corpus (26)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- 4-OGC: Catalog of gravitational waves from compact-binary mergers
- Post-Newtonian Evolution of Massive Black Hole Triplets in Galactic Nuclei: IV. Implications for LISA
- Three-Body Dynamics with Gravitational Wave Emission
- Prospects for observing extreme-mass-ratio inspirals with LISA
- LISA extreme-mass-ratio inspiral events as probes of the black hole mass function
- Detecting triple systems with gravitational wave observations
- Relativistic three-body effects in hierarchical triples
- Close encounters of three black holes
- Characterization of the gravitational wave emission of three black holes
- Gravitational Waves from Hierarchical Triple Systems with Kozai-Lidov Oscillation
- Assessing the model waveform accuracy of gravitational waves
- The Lagrange Equilibrium Points L_4 and L_5 in a Black Hole Binary System
- Higher-order effects in the dynamics of hierarchical triple systems. Quadrupole-squared terms
- Intermediate-mass-ratio-inspirals in the Einstein Telescope. II. Parameter estimation errors
- Gravitational waveforms for 2- and 3-body gravitating systems
- Relativistic Astrophysics with Resonant Multiple Inspirals
- Gravitational wave forms for a three-body system in Lagrange's orbit: parameter determinations and a binary source test
- Triangular solution to general relativistic three-body problem for general masses
- Precession resonances in hierarchical triple systems
- Post-Newtonian effects on the stability of the triangular solution in the three-body problem for general masses
- About gravitational-wave generation by a three-body system
- Gravitational Waves from Periodic Three-Body Systems
- Transverse Doppler effect and parameter estimation of LISA three-body systems
- Can N-body systems generate periodic gravitational waves?
- Gravitational Radiation Damping and the Three-Body Problem