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undergraduate thesis
Keplerovi zakoni za hipotetsku gravitacijsku silu
Split: University of Split, University of Split, Faculty of science, 2019. urn:nbn:hr:166:771697
Koljanin, Ivan
University of Split
Faculty of Science
Department of Physics

Institutional repository: Repository of Faculty of Science

Cite this document

Koljanin, I. (2019). Keplerovi zakoni za hipotetsku gravitacijsku silu (Undergraduate thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:771697

Koljanin, Ivan. "Keplerovi zakoni za hipotetsku gravitacijsku silu." Undergraduate thesis, University of Split, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:166:771697

Koljanin, Ivan. "Keplerovi zakoni za hipotetsku gravitacijsku silu." Undergraduate thesis, University of Split, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:166:771697

Koljanin, I. (2019). 'Keplerovi zakoni za hipotetsku gravitacijsku silu', Undergraduate thesis, University of Split, Faculty of Science, accessed 29 June 2024, https://urn.nsk.hr/urn:nbn:hr:166:771697

Koljanin I. Keplerovi zakoni za hipotetsku gravitacijsku silu [Undergraduate thesis]. Split: University of Split, Faculty of Science; 2019 [cited 2024 June 29] Available at: https://urn.nsk.hr/urn:nbn:hr:166:771697

I. Koljanin, "Keplerovi zakoni za hipotetsku gravitacijsku silu", Undergraduate thesis, University of Split, Faculty of Science, Split, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:166:771697

Metadata
TitleKeplerovi zakoni za hipotetsku gravitacijsku silu
Title (english)Kepler's laws for a hypothetical gravitational force
AuthorIvan Koljanin
MentorAnte Bilušić (mentor)
Committee memberAnte Bilušić (predsjednik povjerenstva)
Committee memberLarisa Zoranić (član povjerenstva)
Committee memberIvana Weber (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Physics)
Split
Defense date and country2019-09-17, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Cilj ovoga rada jest ispitati ponašanje Keplerovih zakona za gravitacijsku silu u kojoj je funkcionalna ovisnost udaljenosti različita od \(r^{-2}\). Matematičkom pripremom same simulacije te izradom računalne simulacije u programskom jeziku C moguće je analizom podataka doći do željenih zaključaka vezanih za Keplerove zakone. Pokazano je da za potencije udaljenosti koje su približno jednake dva ponašanje Keplerovih zakona postaje sve sličnije ponašanju za kvadratnu potenciju. Kada bi sustav činile samo Zemlja i Sunce putanja Zemlje bila bi u potpunosti stabilna, no postojanje ostalih planeta u sustavu uzrokuje nestabilnosti i pertubacije Zemljine putanje pa je promatranje u ovom radu točno samo za problem dvaju tijela.
Abstract (english)
The aim of this paper is to examine the behavior of Kepler laws for gravitational force in which the functional dependence of distance is different from \(r^{-2}\). By mathematical preparation of the simulation itself and computer simulation in the C programming language, it is possible to reach the desired conclusions regarding Kepler's laws by analyzing the data. It has been shown that for distance potentials approximately equal to two, the behavior of Kepler's laws becomes increasingly similar to the behavior for quadratic potency. If the system consisted only of the Earth and the Sun the Earth's trajectory would be completely stable, but the existence of other planets in the system causes instabilities and pertubations of the Earth's trajectory, so the observation in this paper is correct only for the two-body problem.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:771697
Study programmeTitle: Mathematics and Physics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike i fizike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike i fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
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Created on2019-11-22 10:50:23