A periodic table for black hole orbits

@article{Levin2008APT,
  title={A periodic table for black hole orbits},
  author={Janna Levin and Gabe Perez-Giz},
  journal={Physical Review D},
  year={2008},
  volume={77},
  pages={103005}
}
Understanding the dynamics around rotating black holes is imperative to the success of future gravitational wave observatories. Although integrable in principle, test-particle orbits in the Kerr spacetime can also be elaborate, and while they have been studied extensively, classifying their general properties has been a challenge. This is the first in a series of papers that adopts a dynamical systems approach to the study of Kerr orbits, beginning with equatorial orbits. We define a taxonomy… 
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