Conditions for sustained orbital resonances in extreme mass ratio inspirals

@article{Meent2014ConditionsFS,
  title={Conditions for sustained orbital resonances in extreme mass ratio inspirals},
  author={Maarten van de Meent},
  journal={Physical Review D},
  year={2014},
  volume={89},
  pages={084033}
}
We investigate the possibility of sustained orbital resonances in extreme mass ratio inspirals. Using a near-identity averaging transformation, we reduce the equations of motion for a particle moving in Kerr spacetime with self-force corrections in the neighbourhood of a resonant geodesic to a one dimensional equation for a particle moving in an effective potential. From this effective equation we obtain the necessary and sufficient conditions that the self-force needs to satisfy to allow… 

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