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We probe the ability of various types of post-Newtonian(PN)-accurate circulartemplates to capture inspiral gravitational-wave (GW) signals from compactbinaries having tiny orbital eccentricities. The GW signals are constructed byadapting the phasing formalism, available in T. Damour, A. Gopakumar, and B. R.Iyer, [Phys. Rev. D 70, 064028 (2004)], employing the orbital energy and thetime-eccentricity to describe the orbital evolution. Using the fitting factorestimates, relevant for the initial LIGO, we show that circular templates,based on the adiabatic TaylorT1, complete adiabatic TaylorT1 and TaylorT4approximants are unable to capture our GW signals from compact binaries havingtiny residual orbital eccentricities. However, the 2PN-order circular inspiraltemplates based on the recently introduced TaylorEt approximant are found to beboth effectual and faithful in capturing GWs from inspiralling compact binarieshaving moderate eccentricities and we provide physical explanations for ourobservations.

On the ability of various circular inspiral templates to capture  inspiral gravitational waves from compact binaries having tiny orbital  eccentricities