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- W3098473422 abstract "We study the exact evolution of the orbital angular momentum of a massive particle in the gravitational field of a Kerr black hole. We show analytically that, for a wide class of orbits, the angular momentum's hodograph is always close to a circle. This applies to both bounded and unbounded orbits that do not end up in the black hole. Deviations from the circular shape do not exceed $approx10%$ and $approx7%$ for bounded and unbounded orbits, respectively. We also find that nutation provides an accurate approximation for those deviations, which fits the exact curve within $sim 0.01%$ for the orbits of maximal deviation. Remarkably, the more the deviation, the better the nutation approximates it. Thus, we demonstrate that the orbital Lense-Thirring precession, originally obtained in the weak-field limit, is also a valid description in the general case of (almost) arbitrary exact orbits. As a by-product, we also derive the parameters of unstable spherical timelike orbits as a function of their radii and arbitrary rotation parameter $a$ and Carter's constant $Q$. We verify our results numerically for all the kinds of orbits studied." @default.
- W3098473422 created "2020-11-23" @default.
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- W3098473422 date "2019-07-01" @default.
- W3098473422 modified "2023-09-24" @default.
- W3098473422 title "The orbital Lense–Thirring precession in a strong field" @default.
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- W3098473422 doi "https://doi.org/10.1007/s10714-019-2563-9" @default.
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