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In this paper we investigate the motion of electrically charged test particle orbiting electrically charged higher dimensional Reissner–Nordström black holes. Specifically, we analyze the radii of the photonsphere and shadow, the innermost stable circular orbits, and the capture cross section of charged particles across various dimensions of spacetime. Our study in the capture of the charged particle encompasses both relativistic and non-relativistic regimes. Our results reveal that the electromagnetic interaction between the black hole and the charged particle significantly influences the radii of all characteristic orbits and the capture cross sections, with the electromagnetic attraction (repulsion) between them leading to an increase (decrease) in these parameters. [ABSTRACT FROM AUTHOR]

We explore how the internal structure of a test particle affects its equatorial stable circular orbits around the Kerr black hole with or without a cosmological constant. To this end, we first explicitly write equations of motion for a test particle in the pole-dipole-quadrupole approximation specifying the quadrupole momentum tensor to a spin-induced model. Then we calculate characteristic quantities – radius, angular momentum, energy, angular velocity, and impact parameter – for the particles on the stable circular orbits. Once the pole-dipole-quadrupole approximation is taken, we find that for a particle on an innermost stable circular orbit, all characteristic quantities, except the angular velocity, become greater relative to the pole-dipole case. In contrast, for a particle on an outermost stable circular orbit, which only exists in the case of the spacetime background being asymptotically de Sitter, it is the radius that becomes smaller while all other quantities become greater. [ABSTRACT FROM AUTHOR]