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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\u2013Lidov 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\u2013Lidov 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.<\/jats:p>","DOI":"10.1093\/mnras\/staa3081","type":"journal-article","created":{"date-parts":[[2020,10,7]],"date-time":"2020-10-07T11:57:27Z","timestamp":1602071847000},"page":"1645-1665","source":"Crossref","is-referenced-by-count":8,"title":["Post-Newtonian Kozai\u2013Lidov mechanism and its effect on cumulative shift of periastron time of binary pulsar"],"prefix":"10.1093","volume":"500","author":[{"given":"Haruka","family":"Suzuki","sequence":"first","affiliation":[{"name":"Graduate School of Advanced Science and Engineering, Waseda University, Shinjuku, Tokyo 169-8555, Japan"}]},{"given":"Priti","family":"Gupta","sequence":"additional","affiliation":[{"name":"Department of Physics, Kyoto University, Kyoto 606-8502, Japan"}]},{"given":"Hirotada","family":"Okawa","sequence":"additional","affiliation":[{"name":"Waseda Institute for Advanced Study (WIAS), 1-6-1 Nishi Waseda, Shinjuku, Tokyo 169-8050, Japan"}]},{"given":"Kei-ichi","family":"Maeda","sequence":"additional","affiliation":[{"name":"Waseda Institute for Advanced Study (WIAS), 1-6-1 Nishi Waseda, Shinjuku, Tokyo 169-8050, Japan"},{"name":"Department of Physics, Waseda University, Shinjuku, Tokyo 169-8555, Japan"}]}],"member":"286","published-online":{"date-parts":[[2020,11,3]]},"reference":[{"year":"2017","author":"Amaro-Seoane","key":"2020112301164253600_bib1"},{"key":"2020112301164253600_bib2","doi-asserted-by":"publisher","first-page":"367","DOI":"10.1093\/mnras\/stv2906","volume":"456","author":"Anderson","year":"2016","journal-title":"MNRAS"},{"key":"2020112301164253600_bib3","doi-asserted-by":"publisher","first-page":"3066","DOI":"10.1093\/mnras\/stx293","volume":"467","author":"Anderson","year":"2017","journal-title":"MNRAS"},{"key":"2020112301164253600_bib4","doi-asserted-by":"publisher","first-page":"3610","DOI":"10.1093\/mnras\/stv1552","volume":"452","author":"Antognini","year":"2015","journal-title":"MNRAS"},{"key":"2020112301164253600_bib5","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1088\/0004-637X\/757\/1\/27","volume":"757","author":"Antonini","year":"2012","journal-title":"ApJ"},{"key":"2020112301164253600_bib6","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1103\/PhysRevD.12.329","volume":"12","author":"Barker","year":"1975","journal-title":"Phys. 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