Abstract

We study gravitational waves from a hierarchical three-body system up to first-order postNewtonian approximation. Under certain conditions, the existence of a nearby third body can cause periodic exchange between eccentricity of an inner binary and relative inclination, known as Kozai-Lidov oscillations. We analyze features of the waveform from the inner binary system undergoing such oscillations. We find that variation caused due to the tertiary companion can be observed in the gravitational waveforms and energy spectra, which should be compared with those from isolated binaries and coplanar three-body system. The detections from future space interferometers will make possible the investigation of the gravitational wave spectrum in mHz range and may fetch signals by sources addressed.

Highlights

  • The LIGO-VIRGO collaboration observed eleven gravitational wave signals from compact binary mergers during the first and second runs (O1 and O2) [1]

  • We find that variation caused due to the tertiary companion can be observed in the gravitational waveforms and energy spectra, which should be compared with those from isolated binaries and coplanar three-body system

  • Several big projects have been proposed in space; Big Bang Observer (BBO) [9], advanced Laser Interferometer Space Antenna (LISA) [10], and

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Summary

INTRODUCTION

The LIGO-VIRGO collaboration observed eleven gravitational wave signals from compact binary mergers during the first and second runs (O1 and O2) [1]. The GW signal would be distinguished by a net phase change or even a time-dependent Doppler shift arising from the orbital motion This could provide direct information about the black hole binary environments and otherwise invisible ambient mass. Recent work analyzes triple systems composed of the SMBH near the galactic center and a pair of BHs with different masses, from stellar to intermediate-mass BHs (IMBHs) [28,52]. They identify frequency peaks and examine the detectability of GWs with LISA, μAres, and DECIGO by integrating over the observation time within the lifetime of different GW detectors. We present the characteristic strains for all other models in Appendix B

Hierarchical triple system and Kozai-Lidov mechanism
Stability and constraints
Typical timescales
Stability of hierarchical arrangement
Constraints from the relativistic effects
Quadrupole formula
Gravitational waves from highly eccentric orbit
CLASSIFICATION AND CONSTRAINTS ON PARAMETERS
Models
Method of orbit evolution
GW waveform
GW spectra
Model IB3
Observability
CONCLUDING REMARKS
GWs from an isolated binary
GWs from a coplanar triple system
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