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 Reissner-Nordstrom space-time. The effect of charge on the perihelion advance is studied and we 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 approximations.

中文翻译：

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高阶测地偏差在Reissner-Nordstrom场中带电测试粒子的近日点前进和轨迹。

通过对带电粒子使用更高阶的测地线偏差方程，我们采用了Kerner等人描述的方法。计算在Reissner-Nordstrom时空中近日点前进和带电测试粒子的轨迹。研究了电荷对近日点推进的影响，我们将结果与通过扰动方法获得的结果进行了比较。这种近似方法的优点是提供了一种无需考虑牛顿近似和后牛顿近似即可计算大型且紧凑物体附近行星近日点前进和轨道的方法。