Original title: Kozaiův-Lidovův mechanismus v post-newtonovské aproximaci obecné relativity
Translated title: Kozai-Lidov mechanism in post-Newtonian approximation of the general relativity
Authors: Smorada, Jakub ; Šubr, Ladislav (advisor) ; Haas, Jaroslav (referee)
Document type: Bachelor's theses
Year: 2023
Language: slo
Abstract: [eng] [cze]
In two body systems, the orbit of the particle orbiting the dominant body is, during one orbit, approximately a keplerian ellipse. If the system contains a third, perturbing, body, orbital elements of the orbit of the test particle start to periodically evolve. This process, called Kozai-Lidov mechanism, leads to the closest approaches of the test particle to the dominant body of the system. In this work, I study these closest approaches and their difference between newtonian mechanics and postnewtonian approximation of general relativity. 1 Pri obehu častice okolo dominantného telesa, v dvojčasticovom systéme, je dráha obie- hajúcej častice pri jednom obehu približne keplerovská elipsa. Ak je tento systém poru- šený tretím telesom, orbitálne elementy dráhy častice prechádzajú periodickými zmenami. Tento proces sa nazýva Kozaiov-Lidovov mechanizmus. Cieľom tejto práce je štúdium naj- tesnejších priblížení, spôsobené týmto vývojom, testovacej častice k dominantnému telesu sústavy, v hierarchickom trojčasticovom systéme, a jeho porovnanie medzi newtonovskou mechanikou a postnewtonovskou aproximáciou všeobecnej relativity. 1
Keywords: Celestial mechanics|triples|Kozai-Lidov oscillations|galactic nucleus|general theory of relativity; Nebeská mechanika|trojčasticové systémy|Kozaiove-Lidovove oscilácie|galaktické centrum|všeobecná teória relativity

Institution: Charles University Faculties (theses) (web)
Document availability information: Available in the Charles University Digital Repository.
Original record: http://hdl.handle.net/20.500.11956/182522

Permalink: http://www.nusl.cz/ntk/nusl-532241


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Universities and colleges > Public universities > Charles University > Charles University Faculties (theses)
Academic theses (ETDs) > Bachelor's theses