# 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…

## 34 Citations

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## References

SHOWING 1-5 OF 5 REFERENCES

### Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion

- Physics
- 2008

Inspirals of stellar-mass compact objects into massive black holes are an important source for future gravitational wave detectors such as Advanced LIGO and LISA. The detection and analysis of these…

### Multiple Scale and Singular Perturbation Methods

- Mathematics
- 1996

1. Introduction.- 1.1. Order Symbols, Uniformity.- 1.2. Asymptotic Expansion of a Given Function.- 1.3. Regular Expansions for Ordinary and Partial Differential Equations.- References.- 2. Limit…

### and T

- Hinderer,
- 2013

### Classical Quant

- Grav. 19, 2743
- 2002

### Living Rev

- Rel. 16, 7
- 2013