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undergraduate thesis
Problem triju tijela
2017. urn:nbn:hr:160:328754
Balić, Mihaela
Josip Juraj Strossmayer University of Osijek
Department of Physics
Division of Theoretical Physics and Computer Science
Division Chair of Theoretical Physics

Cite this document

Balić, M. (2017). Problem triju tijela (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Physics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:160:328754

Balić, Mihaela. "Problem triju tijela." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, 2017. https://urn.nsk.hr/urn:nbn:hr:160:328754

Balić, Mihaela. "Problem triju tijela." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, 2017. https://urn.nsk.hr/urn:nbn:hr:160:328754

Balić, M. (2017). 'Problem triju tijela', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, accessed 22 September 2023, https://urn.nsk.hr/urn:nbn:hr:160:328754

Balić M. Problem triju tijela [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Physics; 2017 [cited 2023 September 22] Available at: https://urn.nsk.hr/urn:nbn:hr:160:328754

M. Balić, "Problem triju tijela", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:160:328754

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Metadata
TitleProblem triju tijela
Title (english)The Three Body Problem
AuthorMihaela Balić
MentorZvonko Glumac (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Physics
(Division of Theoretical Physics and Computer Science)
(Division Chair of Theoretical Physics)
Osijek
Defense date and country2017-09-19, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
General and Classical Physics
Abstract
Tema ovog rada je generalni problem triju tijela. Općenito, taj problem nije analitički rješiv stoga se stavlja naglasak na reducirani problem triju tijela. Reducirani problem riješio je Lagrange, koji je rekao da treće tijelo zanemarive mase može nesmetano opstati u sustavu na položaju pet točaka koje su po njemu dobile naziv Lagrangeove točke \((𝐿_{1}−𝐿_{5})\). U radu ću detaljno opisati stabilnost tih točaka te se uvjeriti da su tri točke nestabilne \( (𝐿_{1}, 𝐿_{2}, 𝐿_{3})\), a preostale dvije stabilne \((𝐿_{4}, 𝐿_{5})\). Te točke od velike su praktične važnosti, a potvrda njihova postojanja su grupa asteroida poznati pod nazivom „Trojanci“.
Abstract (english)
The theme of this thesis is the general problem of three bodies. Generally, this problem is not analytically solved, therefore we emphasize the reduced problem of the three bodies. Reduced problem was solved Lagrange, who said that a third body of negligible mass can freely exist in the system at the position of five points that are named after him, Lagrange point \((𝐿_{1}−𝐿_{5})\). I will describe the stability of these points in detail and indicate that the three points are unstable \( (𝐿_{1}, 𝐿_{2}, 𝐿_{3})\) , and the remaining two are stable \((𝐿_{4}, 𝐿_{5})\). These points are of great practical significance, and proof of their existence is a group of asteroids known as "Trojans".
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:160:328754
Study programmeTitle: Physics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
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Created on2017-09-28 07:24:56