{"id":7848,"date":"2022-06-20T18:30:08","date_gmt":"2022-06-20T16:30:08","guid":{"rendered":"https:\/\/www.lapth.cnrs.fr\/event\/hierarchical-three-body-problem\/"},"modified":"2022-06-20T18:30:08","modified_gmt":"2022-06-20T16:30:08","slug":"hierarchical-three-body-problem","status":"publish","type":"tribe_events","link":"https:\/\/www.lapth.cnrs.fr\/en\/event\/hierarchical-three-body-problem\/","title":{"rendered":"Hierarchical three-body problem"},"content":{"rendered":"<p>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.<\/p>\n<p>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.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>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 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_tribe_events_status":"","_tribe_events_status_reason":"","footnotes":""},"tags":[],"tribe_events_cat":[18],"class_list":["post-7848","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-weekly-seminars","cat_weekly-seminars"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.lapth.cnrs.fr\/en\/wp-json\/wp\/v2\/tribe_events\/7848","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lapth.cnrs.fr\/en\/wp-json\/wp\/v2\/tribe_events"}],"about":[{"href":"https:\/\/www.lapth.cnrs.fr\/en\/wp-json\/wp\/v2\/types\/tribe_events"}],"author":[{"embeddable":true,"href":"https:\/\/www.lapth.cnrs.fr\/en\/wp-json\/wp\/v2\/users\/1"}],"version-history":[{"count":0,"href":"https:\/\/www.lapth.cnrs.fr\/en\/wp-json\/wp\/v2\/tribe_events\/7848\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.lapth.cnrs.fr\/en\/wp-json\/wp\/v2\/media?parent=7848"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.lapth.cnrs.fr\/en\/wp-json\/wp\/v2\/tags?post=7848"},{"taxonomy":"tribe_events_cat","embeddable":true,"href":"https:\/\/www.lapth.cnrs.fr\/en\/wp-json\/wp\/v2\/tribe_events_cat?post=7848"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}