# 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…

## 33 Citations

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