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
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>","excerpt":"","slug":"hierarchical-three-body-problem","image":false,"all_day":false,"start_date":"2021-10-14 11:00:00","start_date_details":{"year":"2021","month":"10","day":"14","hour":"11","minutes":"00","seconds":"00"},"end_date":"2021-10-14 12:00:00","end_date_details":{"year":"2021","month":"10","day":"14","hour":"12","minutes":"00","seconds":"00"},"utc_start_date":"2021-10-14 09:00:00","utc_start_date_details":{"year":"2021","month":"10","day":"14","hour":"09","minutes":"00","seconds":"00"},"utc_end_date":"2021-10-14 10:00:00","utc_end_date_details":{"year":"2021","month":"10","day":"14","hour":"10","minutes":"00","seconds":"00"},"timezone":"Europe\/Paris","timezone_abbr":"CEST","cost":"","cost_details":{"currency_symbol":"","currency_code":"","currency_position":"","values":[]},"website":"https:\/\/www.lapth.cnrs.fr\/en\/event\/hierarchical-three-body-problem\/","show_map":false,"show_map_link":false,"hide_from_listings":false,"sticky":false,"featured":false,"categories":[{"name":"Weekly seminars","slug":"weekly-seminars","term_group":0,"term_taxonomy_id":18,"taxonomy":"tribe_events_cat","description":"","parent":0,"count":47,"filter":"raw","id":18,"urls":{"self":"https:\/\/www.lapth.cnrs.fr\/en\/wp-json\/tribe\/events\/v1\/categories\/18","collection":"https:\/\/www.lapth.cnrs.fr\/en\/wp-json\/tribe\/events\/v1\/categories"}}],"tags":[],"venue":[],"organizer":[{"id":7631,"status":"publish","date":"2022-06-20 18:23:01","date_utc":"2022-06-20 16:23:01","modified":"2022-06-20 18:23:01","modified_utc":"2022-06-20 16:23:01","url":"https:\/\/www.lapth.cnrs.fr\/organizer\/adrien-kuntz\/","organizer":"Adrien Kuntz","slug":"adrien-kuntz","json_ld":{"@type":"Person","name":"Adrien Kuntz","description":"","url":"","telephone":"","email":"","sameAs":""},"global_id":"www.lapth.cnrs.fr\/en\/?id=7631","global_id_lineage":["www.lapth.cnrs.fr\/en\/?id=7631"]}],"custom_fields":[],"json_ld":{"@context":"http:\/\/schema.org","@type":"Event","name":"Hierarchical three-body problem","description":"<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 […]<\/p>\\n","url":"https:\/\/www.lapth.cnrs.fr\/en\/event\/hierarchical-three-body-problem\/","eventAttendanceMode":"https:\/\/schema.org\/OfflineEventAttendanceMode","eventStatus":"https:\/\/schema.org\/EventScheduled","startDate":"2021-10-14T11:00:00+02:00","endDate":"2021-10-14T12:00:00+02:00","organizer":{"@type":"Person","name":"Adrien Kuntz","description":"","url":"","telephone":"","email":"","sameAs":""},"performer":"Organization"},"event_bgcolor":"","event_text_color":""}