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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…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Priti Gupta , Haruka Suzuki , Hirotada Okawa , Kei-ichi Maeda

A third object in the vicinity of a binary system causes variations in the eccentricity and the inclination of the binary through the Kozai-Lidov effect. We examine if such variations leave a detectable imprint on the gravitational waves of…

High Energy Astrophysical Phenomena · Physics 2020-10-06 Barnabás Deme , Bao-Minh Hoang , Smadar Naoz , Bence Kocsis

We study the Kozai-Lidov mechanism in a hierarchical triple system in detail by the direct integration of the first-order post Newtonian equations of motion. We analyse a variety of models with a pulsar to evaluate the cumulative shift of…

General Relativity and Quantum Cosmology · Physics 2020-12-15 Haruka Suzuki , Priti Gupta , Hirotada Okawa , Kei-ichi Maeda

A significant fraction of gravitational-wave mergers are expected to be eccentric in the Laser-Interferometer-Space-Antenna (LISA) frequency band, $10^{-4} - 10^{-1}$ Hz. Several LIGO-Virgo-KAGRA events show potential hints of residual…

High Energy Astrophysical Phenomena · Physics 2025-10-16 Evgeni Grishin , Isobel M. Romero-Shaw , Alessandro A. Trani

A significant fraction of compact-object mergers in galactic nuclei are expected to be eccentric in the Laser Interferometer Space Antenna (LISA) frequency sensitivity range, $10^{-4} - 10^{-1}\ \rm Hz$. Several compact binaries detected by…

High Energy Astrophysical Phenomena · Physics 2026-02-04 Evgeni Grishin , Isobel M. Romero-Shaw , Alessandro A. Trani

Von Zeipel-Lidov-Kozai (ZLK) oscillations in hierarchical triple systems have important astrophysical implications such as triggering strong interactions and producing, e.g., Type Ia supernovae and gravitational wave sources. When…

Solar and Stellar Astrophysics · Physics 2020-11-26 Adrian S. Hamers

The tidal force from a third body near a binary system could introduce long-term oscillations in the binary's eccentricity, known as Kozai-Lidov oscillations. We show that the Kozai-Lidov oscillations of stellar-mass black hole binaries…

High Energy Astrophysical Phenomena · Physics 2019-02-25 Lisa Randall , Zhong-Zhi Xianyu

We investigate the hierarchical gravitational three-body problem, in which a binary is perturbed by a distant object that orbits on a Keplerian ellipse around the binary itself. This phenomenon, known as Kozai-Lidov mechanism in the…

Classical Physics · Physics 2022-06-28 Barnabás Deme

The hierarchical triple body approximation has useful applications to a variety of systems from planetary and stellar scales to supermassive black holes. In this approximation, the energy of each orbit is separately conserved and therefore…

Earth and Planetary Astrophysics · Physics 2016-10-05 Smadar Naoz

Dynamical scattering of binaries and triple systems of stars, planets, and compact objects may produce highly inclined triple systems subject to Kozai-Lidov (KL) oscillations, potentially leading to collisions, mergers, Type Ia supernovae,…

Solar and Stellar Astrophysics · Physics 2016-01-20 Joseph M. O. Antognini , Todd A. Thompson

White dwarf-white dwarf (WD-WD) mergers may lead to type Ia supernovae events. Thompson (2011) suggested that many such binaries are produced in hierarchical triple systems. The tertiary induces eccentricity oscillations in the inner binary…

Solar and Stellar Astrophysics · Physics 2013-11-27 Snezana Prodan , Norman Murray , Todd A. Thompson

We study a hierarchical triple system with the Kozai-Lidov mechanism, and analyse the cumulative shift of periastron time of a binary pulsar by the emission of gravitational waves. Time evolution of the osculating orbital elements of the…

General Relativity and Quantum Cosmology · Physics 2019-05-08 Haruka Suzuki , Priti Gupta , Hirotada Okawa , Kei-ichi Maeda

The dense Galactic Center environment is expected to host compact binary inspirals detectable by future space-borne gravitational wave (GW) observatories (e.g., LISA, TianQin, Taiji) in the millihertz band. Aided by information from these…

High Energy Astrophysical Phenomena · Physics 2026-05-13 Wen-Fan Feng , Tan Liu , Yun Fang , Yacheng Kang , Bin Liu , Lijing Shao

The very long-term evolution of the hierarchical restricted three-body problem with a slightly aligned precessing quadrupole potential is studied analytically. This problem describes the evolution of a star and a planet which are perturbed…

High Energy Astrophysical Phenomena · Physics 2023-08-21 Ygal Y. Klein , Boaz Katz

Mergers of compact object binaries are one of the most powerful sources of gravitational waves (GWs) in the frequency range of second-generation ground-based gravitational wave detectors (Advanced LIGO and Virgo). Dynamical simulations of…

Astrophysics of Galaxies · Physics 2016-08-31 Thomas O. Kimpson , Mario Spera , Michela Mapelli , Brunetto M. Ziosi

In triple systems of weak hierarchies, nonlinear perturbations arising from the periodic oscillations associated with the inner and outer binaries play a crucial role in shaping their long-term dynamical evolution. In this context, we have…

Earth and Planetary Astrophysics · Physics 2025-07-16 Hanlun Lei , Evgeni Grishin

We provide a method for analytically constructing high-accuracy templates for the gravitational wave signals emitted by compact binaries moving in inspiralling eccentric orbits. By contrast to the simpler problem of modeling the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Thibault Damour , Achamveedu Gopakumar , Bala R. Iyer

We use three dimensional hydrodynamical simulations to show that a highly misaligned accretion disk around one component of a binary system can exhibit global Kozai-Lidov cycles, where the inclination and eccentricity of the disk are…

Earth and Planetary Astrophysics · Physics 2015-06-22 Rebecca G. Martin , Chris Nixon , Stephen H. Lubow , Philip J. Armitage , Daniel J. Price , Suzan Dogan , Andrew King

Nuclear star clusters around massive black holes are expected to be abundant in stellar mass black holes and black hole binaries. These binaries form a hierarchical triple system with the massive black hole at the center. Gravitational…

High Energy Astrophysical Phenomena · Physics 2018-04-04 Bao-Minh Hoang , Smadar Naoz , Bence Kocsis , Frederic A. Rasio , Fani Dosopoulou

Coalescing black hole (BH) binaries forming in the dense core of globular clusters (GCs) are expected to be one the brightest sources of gravitational wave (GW) radiation for the next generation of ground-based laser interferometers.…

High Energy Astrophysical Phenomena · Physics 2015-06-16 Fabio Antonini , Norman Murray , Seppo Mikkola
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