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Ready-to-use Fourier domain templates for compact binaries inspiraling along moderately eccentric orbits

Srishti Tiwari1,*, Achamveedu Gopakumar1, Maria Haney2, and Phurailatapam Hemantakumar3

  • 1Department of Astronomy and Astrophysics, Tata Institute of Fundamental Research, Mumbai 400005, India
  • 2Physik-Institut, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland
  • 3Indian Institute of Technology, Mumbai 400076, India

  • *srishti.tiwari@tifr.res.in
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Phys. Rev. D 99, 124008 – Published 10 June, 2019

DOI: https://doi.org/10.1103/PhysRevD.99.124008

Abstract

We derive analytic expressions that provide the Fourier domain gravitational wave (GW) response function for compact binaries inspiraling along moderately eccentric orbits. These expressions include amplitude corrections to the two GW polarization states that are accurate to the first post-Newtonian (PN) order. Additionally, our fully third post-Newtonian (3PN)-accurate GW phase evolution incorporates eccentricity effects up to sixth order at each PN order. Further, we develop a prescription to incorporate analytically the effects of the 3PN-accurate periastron advance in the GW phase evolution. This is how we provide a ready-to-use and efficient inspiral template family for compact binaries in moderately eccentric orbits. Preliminary GW data analysis explorations suggest that our template family should be required to construct analytic inspiral-merger-ringdown templates to model moderately eccentric compact binary coalescence.

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Phys. Rev. D 99, 124008– Published 10 June, 2019
  • Received 13 March 2019
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