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DTSTART;TZID=Europe/Paris:20211014T110000
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DTSTAMP:20260411T075534
CREATED:20220620T163008Z
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UID:7848-1634209200-1634212800@www.lapth.cnrs.fr
SUMMARY:Hierarchical three-body problem
DESCRIPTION:Abstract : The motion of three bodies can be solved perturbatively when a tightly bound inner binary is orbited by a distant perturber on an elliptic orbit. The exchange of angular momentum between the two orbits gives rise to Kozai-Lidov oscillations of eccentricity and inclination characterizing many different systems in astronomy. In this talk\, I will first review the Newtonian version of the Kozai-Lidov mechanism before introducing the effect of relativistic corrections with applications to gravitational wave astronomy. I will show how one can systematically compute first post-Newtonian terms in the hierarchical three-body problem and discuss their influence on the dynamics of the system. \nFinally\, I will present a new kind of relativistic resonance and its effect on the eccentricity of the inner binary\, which could potentially be measurable in the phase of gravitational waves.
URL:https://www.lapth.cnrs.fr/event/hierarchical-three-body-problem/
CATEGORIES:Weekly seminars
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