{"658568":{"#nid":"658568","#data":{"type":"event","title":"MS Proposal by Michela Mancini","body":[{"value":"\u003Cp\u003EMichela Mancini\u003Cbr \/\u003E\r\n(Advisor: Dr. John A. Christian)\u003Cbr \/\u003E\r\nwill propose a master thesis entitled\u003Cbr \/\u003E\r\nAn analysis on the application of algebraic geometry in\u003Cbr \/\u003E\r\nInitial Orbit Determination problems\u003Cbr \/\u003E\r\nOn\u003Cbr \/\u003E\r\nThursday, June 9 at 2:00 p.m.\u003Cbr \/\u003E\r\nMontgomery Knight Building 317\u003Cbr \/\u003E\r\nAbstract\u003Cbr \/\u003E\r\nInitial Orbit Determination (IOD) is a challenge tackled for centuries by\u003Cbr \/\u003E\r\nthe most famous and skilled mathematicians and astronomers. The classical\u003Cbr \/\u003E\r\nsolutions that have been proposed since Kepler\u0026rsquo;s time make use of bearings\u003Cbr \/\u003E\r\nor position measurements collected at some specific epoch, and the\u003Cbr \/\u003E\r\nknowledge of these epochs is central to the resolution of the problem.\u003Cbr \/\u003E\r\nIn the present work, the application of methods from algebraic and\u003Cbr \/\u003E\r\nprojective geometry allows for the resolution of the IOD problem through\u003Cbr \/\u003E\r\nbearings-only information available from different cameras, without time in\u003Cbr \/\u003E\r\nany way involved in the process. The only needed assumption is that the\u003Cbr \/\u003E\r\nbody\u0026rsquo;s orbit has to be a conic section. The results shown demonstrate that\u003Cbr \/\u003E\r\nthis route can be followed with reliable results both in the noiseless and\u003Cbr \/\u003E\r\nnoisy scenario, the latter having an higher but still acceptable error rate.\u003Cbr \/\u003E\r\nQuestions for further reflection in order to make the method more robust are\u003Cbr \/\u003E\r\nraised.\u003Cbr \/\u003E\r\nCommittee\u003Cbr \/\u003E\r\n\u0026bull; Prof. John A. Christian - School of Aerospace Engineering\u003Cbr \/\u003E\r\n\u0026bull; Prof. Brian C. Gunter - School of Aerospace Engineering\u003Cbr \/\u003E\r\n\u0026bull; Prof. Anton Leykin - School of Mathematics\u003C\/p\u003E\r\n","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":"","field_summary_sentence":[{"value":"An analysis on the application of algebraic geometry in Initial Orbit Determination problems"}],"uid":"27707","created_gmt":"2022-05-27 17:05:16","changed_gmt":"2022-05-27 17:05:16","author":"Tatianna Richardson","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2022-06-09T15:00:00-04:00","event_time_end":"2022-06-09T17:00:00-04:00","event_time_end_last":"2022-06-09T17:00:00-04:00","gmt_time_start":"2022-06-09 19:00:00","gmt_time_end":"2022-06-09 21:00:00","gmt_time_end_last":"2022-06-09 21:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"groups":[{"id":"221981","name":"Graduate Studies"}],"categories":[],"keywords":[{"id":"166866","name":"MS Proposal"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1788","name":"Other\/Miscellaneous"}],"invited_audience":[{"id":"78761","name":"Faculty\/Staff"},{"id":"78771","name":"Public"},{"id":"78751","name":"Undergraduate students"}],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[],"email":[],"slides":[],"orientation":[],"userdata":""}}}