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The Kozai mechanism for a hierarchical triple system could reduce the mergertime of inner eccentric binary emitting gravitational waves (GWs), and has beenqualitatively explained with the secular theory that is derived by averagingshort-term orbital revolutions. However, with the secular theory, the minimumvalue of the inner pericenter distance could be excessively limited by theaveraging operation. Compared with traditional predictions, the actualevolution of an eccentric inner binary could be accompanied by (i) a highercharacteristic frequency of the pulse-like GWs around its pericenter passages,and (ii) a larger residual eccentricity at its final inspiral phase. Thesefindings would be important for GW astronomy with the forthcoming advanceddetectors.

Highly Eccentric Kozai Mechanism and Gravitational-Wave Observation for Neutron Star Binaries