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We present a prescription to compute the time-domain gravitational wave (GW)polarization states associated with spinning compact binaries inspiraling alongquasi-circular orbits. We invoke the orbital angular momentum $\vek L$ ratherthan its Newtonian counterpart $\vek L_{\rm N}$ to describe the binary orbitswhile the two spin vectors are freely specified in an inertial frame associatedwith the initial direction of the total angular momentum. We show that the useof $\vek L$ to describe the orbits leads to additional 1.5PN order amplitudecontributions to the two GW polarization states compared to the $\vek L_{\rmN}$-based approach and discuss few implications of our approach. Further, weprovide a plausible prescription for GW phasing based on few theoreticalconsiderations and which may be treated as the natural circular limit to GWphasing for spinning compact binaries in inspiraling eccentric orbits[Gopakumar A and Sch{\"a}fer G 2011 {\em Phys. Rev. D} {\bf 84} 124007].

Time-domain inspiral templates for spinning compact binaries in quasi-circular orbits described by their orbital angular momenta