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

Post-Newtonian Kozai-Lidov Mechanism and its Effect on Cumulative Shift of Periastron Time of Binary Pulsar