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Combining Post-Circular and Pad\'e approximations to compute Fourier domain templates for eccentric inspirals

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arxiv 2009.11333 v1 pith:RRW3QXG4 submitted 2020-09-23 gr-qc

Srishti Tiwari , Achamveedu Gopakumar This is my paper · ORCID
classification gr-qc
keywords domaineccentricpost-circularfrequencytemplatesanalyticapproximationscombining
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Observations of transient gravitational wave (GW) events with non-negligible orbital eccentricity can be highly rewarding from astrophysical considerations. Ready-to-use fully analytic frequency domain inspiral GW templates are crucial ingredients to construct eccentric inspiral-merger-ringdown waveform families, required for the detection of such GW events. It turns out that a fully analytic, post-Newtonian (PN) accurate frequency domain inspiral template family, which uses certain post-circular approximation, may only be suitable to model events with initial eccentricities $e_0 \leq 0.2$.We here explore the possibility of combining Post-Circular and Pad\'e approximations to obtain fully analytic frequency domain eccentric inspiral templates. The resulting 1PN-accurate approximant is capable of faithfully capturing eccentric inspirals having $e_0 \leq 0.6$ while employing our 1PN extension of a frequency domain template family that does not use post-circular approximation, detailed in Moore, B., et al.\ 2018, Classical and Quantum Gravity, 35, 235006. We also discuss subtleties that arise while combining post-circular and Pad\'e approximations to obtain higher PN order templates for eccentric inspirals.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Third post-Newtonian dynamics for eccentric orbits and aligned spins in the effective-one-body waveform model SEOBNRv5EHM

    gr-qc 2024-12 conditional novelty 7.0 of 10

    The authors obtain, for the first time, 3PN-accurate eccentric-orbit fluxes, radiation-reaction force, and waveform modes in the effective-one-body formalism, and use them to build the SEOBNRv5EHM inspiral model.

  2. Accurate waveforms for eccentric, aligned-spin binary black holes: The multipolar effective-one-body model SEOBNRv5EHM

    gr-qc 2024-12 conditional novelty 7.0 of 10

    SEOBNRv5EHM, a new effective-one-body waveform model with third-post-Newtonian eccentricity corrections, reaches a median 0.02% mismatch against eccentric numerical-relativity simulations, about an order of magnitude ...

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

    gr-qc 2025-09 conditional novelty 6.0 of 10

    Eccentric inspiral waveforms are modeled against mean anomaly rather than time, yielding an order-of-magnitude compression and a 2.77e6 M surrogate that is ~20x faster to evaluate.

  4. Spin effects in the phasing formula of eccentric compact binary inspirals up to the third post-Newtonian order

    gr-qc 2024-12 conditional novelty 5.0 of 10

    Closed-form post-Newtonian phasing formulas for eccentric, spin-aligned compact binary inspirals are derived to 3PN order and to eighth order in initial eccentricity, with a resummation extending validity to e0 around 0.55.

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