Description |
We present new closed-form expressions for non-equatorial bound particle trajectories and their fundamental frequencies that are equivalent to previously obtained quadrature forms and are also numerically fast. We sketch non-equatorial eccentric, separatrix, zoom-whirl, and spherical orbits, and discuss their astrophysical applications. In particular, we discuss applications to relativistic precession in black hole binaries, QPOs, EMRIs, Gyroscope precession and phase space studies. Ongoing work on photon trajectories and applications to black hole imaging will be also be explored.
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