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The harmonic structure of generic Kerr orbits · Around

2011

The harmonic structure of generic Kerr orbits

Grossman, Rebecca, Levin, Janna, Perez-Giz, Gabe

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Generic Kerr orbits exhibit intricate three-dimensional motion.

We offer a classification scheme for these intricate orbits in terms of periodic orbits.
The crucial insight is that for a given effective angular momentum $L$ and angle of inclination $\iota$, there exists a discrete set of orbits that are geometrically $n$-leaf clovers in a precessing {\it orbital plane}.
When viewed in the full three dimensions, these orbits are periodic in $r-\theta$.

Built on

Phys. Rev. 174
B. Carter, · 1968
Earlier work this paper cites.
Phys. Rev. D5
D. C. Wilkins, · 1972
Earlier work this paper cites.
Ap. J. 178
J. M. Bardeen, W. H. Press, and S. A. Teukolsky, · 1972
Earlier work this paper cites.
Gravitation
C. W. Misner, K. S. Thorne, and J. A. Wheeler, · 1973
Earlier work this paper cites.
Phys. Rev. D52
F. D. Ryan, · 1995
Earlier work this paper cites.
Phys. Rev. D53
F. D. Ryan, · 1996
Earlier work this paper cites.
erratum-ibbid.d 63
S. A. Hughes, · 2001
Earlier work this paper cites.

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