Chase Orbits, not Time: A Scalable Paradigm for Long-Duration Eccentric Gravitational-Wave Surrogates

Fuente: arXiv
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Autores principales: Maurya, Akash, Kumar, Prayush, Field, Scott E., Mishra, Chandra Kant, Nee, Peter James, Paul, Kaushik, Pfeiffer, Harald P., Ravichandran, Adhrit, Varma, Vijay
Formato: Preprint
Publicado: 2025
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author Maurya, Akash
Kumar, Prayush
Field, Scott E.
Mishra, Chandra Kant
Nee, Peter James
Paul, Kaushik
Pfeiffer, Harald P.
Ravichandran, Adhrit
Varma, Vijay
author_facet Maurya, Akash
Kumar, Prayush
Field, Scott E.
Mishra, Chandra Kant
Nee, Peter James
Paul, Kaushik
Pfeiffer, Harald P.
Ravichandran, Adhrit
Varma, Vijay
contents Surrogate modeling of eccentric binary black hole waveforms has remained challenging. The complicated morphology of these waveforms due to the eccentric orbital timescale variations makes it difficult to construct accurate and efficient surrogate models, especially for waveforms long enough to cover the sensitivity band of the current ground-based gravitational wave detectors. We present a novel and scalable surrogate building technique which makes surrogate modeling of long-duration eccentric binary black hole waveforms both feasible and highly efficient. The technique aims to simplify the harmonic content of the intermediate eccentric surrogate data pieces by modeling them in terms of an angular orbital element called the mean anomaly, instead of time. We show that this novel parameterization yields an order of magnitude fewer surrogate basis functions than using the contemporary parameterization in terms of time. We show that variations in surrogate data-pieces across parameter space become much more regular when expressed in terms of the instantaneous waveform eccentricity and mean anomaly, greatly easing their parameter-space fitting. The methods presented in this work make it feasible to build long-duration eccentric surrogates for the current as well as future third-generation gravitational wave detectors.
format Preprint
id arxiv_https___arxiv_org_abs_2510_00116
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Chase Orbits, not Time: A Scalable Paradigm for Long-Duration Eccentric Gravitational-Wave Surrogates
Maurya, Akash
Kumar, Prayush
Field, Scott E.
Mishra, Chandra Kant
Nee, Peter James
Paul, Kaushik
Pfeiffer, Harald P.
Ravichandran, Adhrit
Varma, Vijay
General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
Computational Physics
Surrogate modeling of eccentric binary black hole waveforms has remained challenging. The complicated morphology of these waveforms due to the eccentric orbital timescale variations makes it difficult to construct accurate and efficient surrogate models, especially for waveforms long enough to cover the sensitivity band of the current ground-based gravitational wave detectors. We present a novel and scalable surrogate building technique which makes surrogate modeling of long-duration eccentric binary black hole waveforms both feasible and highly efficient. The technique aims to simplify the harmonic content of the intermediate eccentric surrogate data pieces by modeling them in terms of an angular orbital element called the mean anomaly, instead of time. We show that this novel parameterization yields an order of magnitude fewer surrogate basis functions than using the contemporary parameterization in terms of time. We show that variations in surrogate data-pieces across parameter space become much more regular when expressed in terms of the instantaneous waveform eccentricity and mean anomaly, greatly easing their parameter-space fitting. The methods presented in this work make it feasible to build long-duration eccentric surrogates for the current as well as future third-generation gravitational wave detectors.
title Chase Orbits, not Time: A Scalable Paradigm for Long-Duration Eccentric Gravitational-Wave Surrogates
topic General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
Computational Physics
url https://arxiv.org/abs/2510.00116