Leading-order spin-orbit and spin(1)-spin(2) radiation-reaction   Hamiltonians
  In the present paper, the leading-order post-Newtonian spin-orbit and spin(1)-spin(2) radiation-reaction Hamiltonians are calculated. We utilize the canonical formalism of Arnowitt, Deser, and Misner (ADM), which has shown to be valuable for this kind of calculation. The results are valid for arbitrary many objects. The energy loss is then computed and compared to well-known results for the energy flux as a check. 
Han Wang, Jan Steinhoff, Jing Zeng, Gerhard Sch\"afer
gr-qc astro-ph.HE