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This work presents the dynamic properties of charged test particlesinfluenced by the gravitational and electromagnetic fields. Accordingly, inthis work, we concentrate on the static and axially symmetric metric containingtwo quadrupole parameters. One relates to the central object, and anotherrelates to the external distribution of matter. This metric may associate theobservable effects to these parameters as dynamical degrees of freedom. Theastrophysical motivation for choosing such a field is the possibility toconstitute a reasonable model for an actual situation occurring in the objects'vicinity. To test the role of large-scale magnetic fields in accretionprocesses, we start by analyzing different bound orbits of timelike orbitsunder the influence of the system's different parameters. This leads toexamining their stability concerning radial and/or vertical oscillations. Themain focus is to discuss the effect of magnetic field on the oscillation modes'resonant phenomena using different resonant models for disc-oscillation modes.In the present contribution, we further explore the possibility of relatingoscillatory frequencies of charged particles to the frequencies of thehigh-frequency quasi-periodic oscillations observed in the microquasars GRS1915+105, XTE 1550-564 and GRO 1655-40 via assuming the relevance of resonantphenomena of the radial and vertical oscillations.

monthly notices of the royal astronomical society

Dynamics of charged particles and quasi-periodic oscillations in the  vicinity of a distorted, deformed compact object embedded in a uniform  magnetic field