We study the Kozai-Lidov mechanism in a hierarchical triple system in detail by the direct integration of the first-order post Newtonian equations of motion. We analyse a variety of models with a pulsar to evaluate the cumulative shift of the periastron time of a binary pulsar caused by the gravitational wave emission in a hierarchical triple system with Kozai-Lidov mechanism. We compare our results with those by the double-averaging method. The deviation in the eccentricity, even if small, is important in the evaluation of the emission of the gravitational waves. We also calculate the cumulative shift of the periastron time by using obtained osculating orbital elements. If Kozai-Lidov oscillations occur, the cumulative shift curve will bend differently from that of the isolated binary. If such a bending is detected through the radio observation, it will be the first indirect observation of gravitational waves from a triple system.

中文翻译：

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后牛顿 Kozai-Lidov 机制及其对双脉冲星近星体时间累积偏移的影响

我们通过一阶后牛顿运动方程的直接积分来详细研究分层三元系统中的 Kozai-Lidov 机制。我们用脉冲星分析了各种模型，以评估在具有 Kozai-Lidov 机制的分层三重系统中由引力波发射引起的双脉冲星近天体时间的累积偏移。我们将我们的结果与双平均法的结果进行比较。偏心率的偏差，即使很小，在评估引力波的发射时也很重要。我们还通过使用获得的密切轨道元素计算了近天体时间的累积偏移。如果发生 Kozai-Lidov 振荡，累积位移曲线将与孤立二进制不同。如果通过无线电观测检测到这种弯曲，