Summary:

(Starts at 13:45 - a zoom session might be made available depending on technicalities).

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. Finally, 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.

For more information please contact Lavalle J.