The paper derives 12PN flux formulas for inclined spherical Kerr orbits, exact in spin and inclination.
(3.5), can be found using the methods pioneered by Mano, Suzuki, and Takasugi (MST) [15, 16]
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Post-Newtonian expansion of gravitational energy and angular momentum fluxes: inclined spherical orbits about a Kerr black hole
The paper derives 12PN flux formulas for inclined spherical Kerr orbits, exact in spin and inclination.