标题： Reissner-Nordström时空中的第二后牛顿运动 显示英文标题

标题： The second post-Newtonian motion in Reissner-Nordström spacetime

摘要： 我们推导了带电检验粒子在Reissner-Nordström时空的准开普勒运动的第二后牛顿近似解，所用坐标系为谐波坐标。 该解由检验粒子的轨道能量和角动量表示，两者在第二后牛顿近似阶次上均为常数。 检验粒子运动中的电荷效应，包括轨道周期和近日点进动，均被明确显示。 我们的结果可应用于检验粒子具有小电荷-质量比的情况，或者检验粒子具有任意电荷-质量比但其与引力源的电荷-质量比乘积远小于1的情形。 显示英文摘要

摘要： We derived the second post-Newtonian solution for the quasi-Keplerian motion of a charged test particle in the Reissner-Nordstr\"om spacetime under the harmonic coordinates. The solution is formulated in terms of the test particle's orbital energy and angular momentum, both of which are constants at the second post-Newtonian order. The charge effects on the test particle's motion including the orbital period and perihelion precession are displayed explicitly. Our results can be applied to the cases in which the test particle has small charge-to-mass ratio, or the test particle has arbitrary charge-to-mass ratio but the multiplication of the test particle and the gravitational source's charge-to-mass-ratios is much smaller than 1.