# Perihelion advance and trajectory of charged test particles in Reissner-Nordstrom field via the higher-order geodesic deviations

## TL;DR

This paper employs higher-order geodesic deviation equations to analyze the perihelion advance and trajectories of charged particles in Reissner-Nordstrom spacetime, offering a novel approximation method that bypasses traditional Newtonian and post-Newtonian approaches.

## Contribution

It introduces a new application of higher-order geodesic deviations to compute charged particle orbits in charged black hole spacetimes, avoiding classical approximation methods.

## Key findings

- Charge affects perihelion advance significantly.
- The method provides accurate orbit calculations near massive objects.
- Results align with earlier perturbation-based studies.

## Abstract

By using the higher-order geodesic deviation equations for charged particles, we apply the method described by Kerner et.al. to calculate the perihelion advance and trajectory of charged test particles in the Riessner-Nordstrom spacetime. The effect of charge on the perihelion advance is studied and compared the results with those obtained earlier via the perturbation method. The advantage of this approximation method is to provide a way to calculate the perihelion advance and orbit of planets in the vicinity of massive and compact objects without considering Newtonian and post-Newtonian approximation.