Spinning charged test particles around a Schwarzschild black hole in a uniform magnetic field have integrable equatorial motion with explicit frequencies but exhibit chaotic non-integrable dynamics off the equatorial plane.
Epicyclic oscillations in spinning particle motion around Kerr black hole applied in models fitting the quasi-periodic oscillations observed in microquasars and AGNs
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Spinning charged test particle dynamics around a Schwarzschild black hole embedded in a homogeneous magnetic field
Spinning charged test particles around a Schwarzschild black hole in a uniform magnetic field have integrable equatorial motion with explicit frequencies but exhibit chaotic non-integrable dynamics off the equatorial plane.