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

Abstract

The Kozai mechanism for a hierarchical triple system could reduce the merger time of inner eccentric binary emitting gravitational waves (GWs), and has been qualitatively explained with the secular theory that is derived by averaging short-term orbital revolutions. However, with the secular theory, the minimum value of the inner pericenter distance could be excessively limited by the averaging operation. Compared with traditional predictions, the actual evolution of an eccentric inner binary could be accompanied by (i) a higher characteristic frequency of the pulse-like GWs around its pericenter passages, and (ii) a larger residual eccentricity at its final inspiral phase. These findings would be important for GW astronomy with the forthcoming advanced detectors.

5 pages, 3 figures, revised version

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• Gravitational waves from scattering of stellar-mass black holes in galactic nuclei
• Three-body equations of motion in successive post-Newtonian approximations
• Analyses on a Relativistic Hierarchical Resonance with the Hamiltonian Approach

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