Off-Equatorial Orbits around Magnetically Charged Black Holes

Abstract: We present a complete characterization of stable, off-equatorial circular orbits around magnetically charged black holes (MBHs). For a static, spherically symmetric MBH, we derive an exact analytic expression for the orbital latitude theta as a function of radius r. We establish a direct connection between these orbits and the spacetime fundamental structure, and demonstrate their stability against synchrotron radiation. We show that charged particles such as electrons and protons can exhibit O(1) latitude deviations at the ISCO radius and remain stable under synchrotron emission even for extremely small values of the black hole magnetic charge. We then extend the analysis to rotating MBHs, numerically computing the prograde and retrograde orbital branches and demonstrating how frame-dragging modifies their structure and stability regions. We show that these off-equatorial orbits are a unique feature of the magnetic charge, being forbidden in the analogous electrically charged Kerr-Newman spacetime. Our results suggest that environments surrounding magnetically charged black holes can exhibit distinctive phenomenological signatures, with potential implications for black hole imaging and polarimetric observations.