Generalized Perturbed Kepler Problem: Gravitational Wave Imprints from Eccentric Compact Binaries
arXiv:2508.06245 · doi:10.1103/7mqv-rhc6
Abstract
Observations of astrophysical binaries may reveal departures from pure Keplerian orbits due to environmental influences, modifications to the underlying gravitational dynamics, or signatures of new physics. In this work, we develop a unified framework to systematically study such perturbations in the ambit of the perturbed Kepler problem and explore their impact on eccentric orbital dynamics and gravitational wave emission. Unlike traditional parametrized frameworks such as post-Newtonian and post-Einsteinian expansions, our approach offers a more source-specific modeling strategy, making it more natural to trace the physical origins of eccentric binary model parameters. Starting from a general perturbed potential, we derive the modified orbit and compute the associated gravitational fluxes and phase evolution, assessing their observational relevance for both current and future detectors. This framework thus offers a general and physically transparent toolkit for probing such subtle deviations from standard dynamics in gravitational wave data.
17 pages, 7 figures
References in corpus (61)
- SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
- Array Programming with NumPy
- Observation of Gravitational Waves from a Binary Black Hole Merger
- GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
- GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
- GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
- A gravitational-wave standard siren measurement of the Hubble constant
- Tidal deformability of neutron stars with realistic equations of state and their gravitational wave signatures in binary inspiral
- Binary Black Hole Population Properties Inferred from the First and Second Observing Runs of Advanced LIGO and Advanced Virgo
- 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
- The motion of point particles in curved spacetime
- Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
- Can environmental effects spoil precision gravitational-wave astrophysics?
- Fundamental Theoretical Bias in Gravitational Wave Astrophysics and the Parameterized Post-Einsteinian Framework
- Binary Black Hole Mergers from Globular Clusters: Implications for Advanced LIGO
- Science with the Einstein Telescope: a comparison of different designs
- Time-domain effective-one-body gravitational waveforms for coalescing compact binaries with nonprecessing spins, tides and self-spin effects
- Stellar-mass black holes in star clusters: implications for gravitational wave radiation
- Constraints on the cosmic expansion history from GWTC-3
- Dark matter distributions around massive black holes: A general relativistic analysis
- A gravitational-wave measurement of the Hubble constant following the second observing run of Advanced LIGO and Virgo
- Parametrized tests of post-Newtonian theory using Advanced LIGO and Einstein Telescope
- Black holes in galaxies: environmental impact on gravitational-wave generation and propagation
- Detecting dark matter around black holes with gravitational waves: Effects of dark-matter dynamics on the gravitational waveform
- Gravitational waves from extreme-mass-ratio systems in astrophysical environments
- Imprint of Accretion Disk-Induced Migration on Gravitational Waves from Extreme Mass Ratio Inspirals
- Laying the foundation of the effective-one-body waveform models SEOBNRv5: improved accuracy and efficiency for spinning non-precessing binary black holes
- Gravitational waves as a probe of dark matter mini-spikes
- Gravitational-wave phasing for low-eccentricity inspiralling compact binaries to 3PN order
- Tests of General Relativity with GWTC-3
- Complete waveform model for compact binaries on eccentric orbits
- Constraints on the astrophysical environment of binaries with gravitational-wave observations
- Theoretical Physics Implications of Gravitational Wave Observation with Future Detectors
- Measuring the dark matter environments of black hole binaries with gravitational waves
- Detectable environmental effects in GW190521-like black-hole binaries with LISA
- Black Hole Binary Formation in AGN Discs: From Isolation to Merger
- Enhancing the SEOBNRv5 effective-one-body waveform model with second-order gravitational self-force fluxes
- Extreme mass-ratio inspirals in ultra-light dark matter
- GWFish: A simulation software to evaluate parameter-estimation capabilities of gravitational-wave detector networks
- Black holes surrounded by generic matter distributions: polar perturbations and energy flux
- Gravitational-wave versus X-ray tests of strong-field gravity
- Quiescent and active galactic nuclei as factories of merging compact objects in the era of gravitational-wave astronomy
- Waveforms of compact binary inspiral gravitational radiation in screened modified gravity
- Gravitational and electromagnetic radiation from binary black holes with electric and magnetic charges: Elliptical orbits on a cone
- Radiative losses and radiation-reaction effects at the first post-Newtonian order in Einstein-Cartan theory
- Probing beyond-Kerr spacetimes with inspiral-ringdown corrections to gravitational waves
- Gravitational and electromagnetic radiation from binary black holes with electric and magnetic charges: Hyperbolic orbits on a cone
- Gravitational Waves from Binary Black Hole Mergers Inside of Stars
- Probing the Black Hole Metric. I. Black Hole Shadows and Binary Black-Hole Inspirals
- Evolution of binary black holes in AGN accretion discs: Disc-binary interaction and gravitational wave emission
- Tidal deformations of a binary system induced by an external Kerr black hole
- Waltzing binaries: Probing line-of-sight acceleration of merging compact objects with gravitational waves
- Secondary accretion of dark matter in intermediate mass-ratio inspirals: Dark-matter dynamics and gravitational-wave phase
- Quasi-Keplerian parametrization for eccentric compact binaries in scalar-tensor theories at second post-Newtonian order and applications
- Electromagnetic fields in compact binaries: a post-Newtonian approach
- Gravitational waves from binary black holes in a self-interacting scalar dark matter cloud
- Drifting through the medium: kicks and self-propulsion of binaries within accretion disks and other environments
- Electromagnetic fields in compact binaries: post-Newtonian wave generation and application to double white dwarfs systems
- Gravitational waves and electromagnetic radiation from charged black hole binaries
- The curvature dependence of gravitational-wave tests of General Relativity