2014
DOI: 10.1093/mnras/stu2396
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Abstract: The Lidov-Kozai (LK) mechanism plays an important role in the secular evolution of many hierarchical triple systems. The standard LK mechanism consists of large-amplitude oscillations in eccentricity and inclination of a binary subject to the quadrupole potential from an outer perturber. Recent work has shown that when the octupole terms are included in the potential, the inner binary can reach more extreme eccentricities as well as undergo orientation flips. It is known that pericenter precessions due to shor… Show more

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Cited by 183 publications
(259 citation statements)
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“…The same relation was quoted by Miranda et al (2017) based on results by Liu et al (2015). A similar relation was given by Leung & Lee (2013) without the e bin term.…”
Section: Appendix B: Comparison With Massless Test Particlesupporting
confidence: 75%
“…The same relation was quoted by Miranda et al (2017) based on results by Liu et al (2015). A similar relation was given by Leung & Lee (2013) without the e bin term.…”
Section: Appendix B: Comparison With Massless Test Particlesupporting
confidence: 75%
“…Here the "Lidov-Kozai" (LK) terms are given explicitly in (Liu et al 2015a) (we also evolve L out and e out ), and the associated timescale of LK oscillation is…”
Section: Introductionmentioning
confidence: 99%
“…Based on the calculation in [33], [34] and [35], the interaction potential, averaged over both the inner and outer orbits and expanded up to the octupole order, is given by …”
Section: Secular Dynamics Of Stellar Triples: Equations a Disturmentioning
confidence: 99%
“…For the each combination of the initial a 1,0 and i tot,0 , we integrate Eqs. (15) and (A1)-(A9) in [35] [without evolving Eq. (40)] for a duration of ∼ 2t K /ε Oct , and record the maximum eccentricity e 1,max attained during the evolution.…”
Section: Figmentioning
confidence: 99%
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