  This work provides gravitational wave energy and angular momentum asymptotic
fluxes from a spinning body moving on generic orbits in a Kerr spacetime up to
linear in spin approximation. To achieve this, we have developed a new
frequency domain Teukolsky equation solver that calculates asymptotic
amplitudes from generic orbits of spinning bodies with their spin aligned with
the total orbital angular momentum. However, the energy and angular momentum
fluxes from these orbits in the linear in spin approximation are appropriate
for adiabatic models of extreme mass ratio inspirals even for spins non-aligned
to the orbital angular momentum. To check the newly obtained fluxes, they were
compared with already known frequency domain results for equatorial orbits and
with results from a time domain Teukolsky equation solver called Teukode for
off-equatorial orbits. The spinning body framework of our work is based on the
Mathisson-Papapetrou-Dixon equations under the Tulczyjew-Dixon spin
supplementary condition.
