High post-Newtonian order gravitational self-force analytical results   for eccentric orbits around a Kerr black hole
  We present the first analytic computation of the Detweiler-Barack-Sago gauge-invariant redshift function for a small mass in {\it eccentric} orbit around a {\it spinning} black hole. Our results give the redshift contributions that mix eccentricity and spin effects, through second order in eccentricity, second order in spin parameter, and the eight-and-a-half post-Newtonian order. 
Donato Bini, Thibault Damour, Andrea Geralico
gr-qc