The Eccentric Kozai-Lidov Effect and Its Applications
By S. Naoz. 2016
611 citations recorded by the source corpus.
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 the two semimajor axes are constants. On timescales much larger than the orbital periods, the orbits exchange angular momentum, which leads to eccentricity and orientation (i.e., inclination) oscillations. The orbits' eccentricity can reach extreme values, leading to a nearly radial motion, which can further evolve into short orbit periods and merging binaries. Furthermore, the orbits' mutual inclinations may change dramatically from pure prograde to pure retrograde, leading to misalignment and a wide range of inclinations. This dynamical behavior is coined the “eccentric Kozai-Lidov mechanism.” The behavior of such a system is exciting, rich, and chaotic in nature. Furthermore, these dynamics are accessible from a large part of the triple-body parameter space and can ...
Subfields: Astronomy and Astrophysics
View Paper: https://www.semanticscholar.org/paper/7841f2281df4a3876c2221437322a00e29faa01f
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In Astronomy and Astrophysics
Citations in the corpus
- Greatly Enhanced Merger Rates of Compact-object Binaries in Non-spherical Nuclear Star Clusters (2017, background): “…note that this effect of forcing jz is similar the effect from high-order terms in the triple interaction potential (octupole and higher-order, see Naoz 2016), but unlike the three-body interaction, this forcing is not limited to happen in timescales much longer than τLK 9 (i.e., ǫsc,z is not…”
- Black Hole Mergers in Galactic Nuclei Induced by the Eccentric Kozai–Lidov Effect (2017, methodology): “We include the secular equations up to the octupole-level of approximation (e.g., Naoz 2016), general relativity precession of the inner and outer orbits (e.g., Naoz et al. 2013), and gravitational wave emission (Peters 1964).”
- Binary Black Hole Mergers from Field Triples: Properties, Rates, and the Impact of Stellar Evolution (2017, background): “In this situation the secular equations of motion (e.g., Naoz 2016) become a poor approximation.”
- Stellar Dynamics and Stellar Phenomena Near a Massive Black Hole (2017, background): “…the binary components can be induced by KozaiLidov oscillations due to the MBH (acting as an external perturber in the binary’s frame, See review by Naoz 2016) (Antonini et al. 2010; Prodan, Antonini & Perets 2015; Stephan 34 T. Alexander et al. 2016), and also in the course of a binary…”
- Black hole and neutron star mergers in galactic nuclei (2018, background): “Tidal bulges and relativistic precession can suppress KL cycles (Naoz 2016).”
- Rates of compact object coalescences (2021, background): “Another notable dynamical formation channel involves hierarchical triple systems (see Naoz 2016 for a review).”
- Lidov–Kozai Cycles with Gravitational Radiation: Merging Black Holes in Isolated Triple Systems (2016, background): “Perturbations from the external companion can cause the orbit of the inner binary to become nearly radial, via the Lidov– Kozai mechanism (see Naoz 2016for a review).”
- Merging Binaries in the Galactic Center: The eccentric Kozai-Lidov mechanism with stellar evolution (2016, background): “This means that the systems have to fulfill the following criterion: = a1 a2 e2 1 − e22 0.1 , (1) where is a measure of the relative strengths of the octupole and quadrupole effects on the orbital dynamics (e.g., Naoz 2016)4.”