Classification for the radial component of particles motion in the field of a super-extremely charged object

TL;DR

This paper proposes a method to classify the radial motion of neutral test particles with angular momentum in the field of a super-extremely charged object, based on effective potential types.

Contribution

It introduces a new classification approach for particle trajectories in the Reissner-Nordström field of super-extremely charged objects.

Findings

Effective potential types are classified for particle motion.

Trajectories are analyzed for each potential type.

Method enhances understanding of particle dynamics near super-extremely charged objects.

Abstract

A method for investigation of neutral test particles motion with the angular momentum L in the Reissner-Nordstr\"om field of a super-extremely charged object with mass M and charge Q > M is proposed. The problem of classifying the radial component of motion is reduced to working up a classification for "effective" potential types and subsequent consideration of trajectories for each of these types.