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In this paper the motion of charged and uncharged test particles in therotating nonlinearly charged black hole is examined. Its asymptotics can be deSitter or anti-de Sitter, depending on the value of the nonlinear parameter;consequently this BH can present one, two or three horizons, the third onebeing the cosmological horizon in the de Sitter case. Angular and radial testparticle motions are analyzed and compared with its linear electromagneticcounterpart, the Kerr-Newman black hole (KN-BH). Several differences arise withthe KN-BH, namely, the equatorial asymmetry is enhanced by the NLE field andfor charged particles the access to one of the poles is forbidden; besides, asecond circular orbit in the neighborhood of the external horizon appears; thepresence of the nonlinear electromagnetic field increses the curvatureproducing bounded orbits closer to the horizon.

Motion of the charged test particle in the spinning nonlinear electromagnetic black hole