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This work provides gravitational wave energy and angular momentum asymptoticfluxes from a spinning body moving on generic orbits in a Kerr spacetime up tolinear in spin approximation. To achieve this, we have developed a newfrequency domain Teukolsky equation solver that calculates asymptoticamplitudes from generic orbits of spinning bodies with their spin aligned withthe total orbital angular momentum. However, the energy and angular momentumfluxes from these orbits in the linear in spin approximation are appropriatefor adiabatic models of extreme mass ratio inspirals even for spins non-alignedto the orbital angular momentum. To check the newly obtained fluxes, they werecompared with already known frequency domain results for equatorial orbits andwith results from a time domain Teukolsky equation solver called Teukode foroff-equatorial orbits. The spinning body framework of our work is based on theMathisson-Papapetrou-Dixon equations under the Tulczyjew-Dixon spinsupplementary condition.

Asymptotic gravitational-wave fluxes from a spinning test body on generic orbits around a Kerr black hole