Key points are not available for this paper at this time.
The geodesic motion of a point particle in Kerr geometry has three constants of motion, the energy E, the azimuthal angular momentum L, and the Carter constant Q. Under the adiabatic approximation, the radiation reaction effect is characterized by the time evolution of these constants. In this paper, we show that the scheme for evaluating them can be greatly simplified.
Sago et al. (Mon,) studied this question.