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The gravitational waves and energy radiations from a spinning compact objectwith stellar mass in a circular orbit in the equatorial plane of a supermassiveKerr black hole are investigated in this paper. The effect how the spin acts onenergy and angular moment fluxes is discussed in detail. The calculationresults indicate that the spin of small body should be considered inwaveform-template production for the upcoming gravitational wave detections. Itis clear that when the direction of spin axes is the same as the orbitallyangular momentum ("positive" spin), spin can decrease the energy fluxes whichradiate to infinity. For antidirection spin ("negative"), the energy fluxes toinfinity can be enlarged. And the relations between fluxes (both infinity andhorizon) and spin look like quadratic functions. From frequency shift due tospin, we estimate the wave-phase accumulation during the inspiraling process ofthe particle. We find that the time of particle inspiral into the black hole islonger for positive spin and shorter for negative compared with the nonspinningparticle. Especially, for extreme spin value, the energy radiation near thehorizon of the extreme Kerr black hole is much more than that for thenonspinning one. And consequently, the maximum binging energy of the extremespinning particle is much larger than that of the nonspinning particle.

Gravitational Radiations from a Spinning Compact Object around a supermassive Kerr black hole in circular orbit