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undergraduate thesis
NUMERICAL ANALYSIS AND VISUALIZATION OF THE TRAJECTORIES OF BODIES IN THE SOLAR SYSTEM
2024. urn:nbn:hr:160:497547
Vrcelj, Saša
Josip Juraj Strossmayer University of Osijek
Department of Physics

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Vrcelj, S. (2024). NUMERICAL ANALYSIS AND VISUALIZATION OF THE TRAJECTORIES OF BODIES IN THE SOLAR SYSTEM (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Physics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:160:497547

Vrcelj, Saša. "NUMERICAL ANALYSIS AND VISUALIZATION OF THE TRAJECTORIES OF BODIES IN THE SOLAR SYSTEM." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, 2024. https://urn.nsk.hr/urn:nbn:hr:160:497547

Vrcelj, Saša. "NUMERICAL ANALYSIS AND VISUALIZATION OF THE TRAJECTORIES OF BODIES IN THE SOLAR SYSTEM." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, 2024. https://urn.nsk.hr/urn:nbn:hr:160:497547

Vrcelj, S. (2024). 'NUMERICAL ANALYSIS AND VISUALIZATION OF THE TRAJECTORIES OF BODIES IN THE SOLAR SYSTEM', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, accessed 10 February 2025, https://urn.nsk.hr/urn:nbn:hr:160:497547

Vrcelj S. NUMERICAL ANALYSIS AND VISUALIZATION OF THE TRAJECTORIES OF BODIES IN THE SOLAR SYSTEM [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Physics; 2024 [cited 2025 February 10] Available at: https://urn.nsk.hr/urn:nbn:hr:160:497547

S. Vrcelj, "NUMERICAL ANALYSIS AND VISUALIZATION OF THE TRAJECTORIES OF BODIES IN THE SOLAR SYSTEM", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:160:497547

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Metadata
TitleNUMERICAL ANALYSIS AND VISUALIZATION OF THE TRAJECTORIES OF BODIES IN THE SOLAR SYSTEM
Title (croatian)Numerička analiza i vizualizacija putanja tijela u Sunčevom sustavu
AuthorSaša Vrcelj
MentorDario Hrupec (mentor)
Committee memberDario Hrupec (predsjednik povjerenstva)
Committee memberMarina Poje Sovilj (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Physics
Osijek
Defense date and country2024-09-12, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Astronomy and Astrophysics
Abstract
This thesis presents a numerical analysis and visualization of the trajectories of celestial bodies in the solar system. Utilizing Newton's laws of motion and gravitational force, differential equations governing these motions are solved numerically using Python. Both the Euler-Cromer method and the odeint integrator are employed, with their results graphically represented to illustrate position. The study verifies the conservation of angular momentum through data on aphelion and perihelion. The odeint function, dynamically adjusts its method for accuracy, while the EulerCromer method ensures stability in long-term simulations. The findings confirm the numerical methods' alignment with classical theories like Kepler's laws, demonstrating the effectiveness of Python for astrophysical computations and establishing a foundation for future research in celestial mechanics.
Abstract (english)
Ovim zavšrnim radom predstavljamo numeričku analizu i vizualizaciju putanja nebeskih tijela u Sunčevom sustavu. Koristeći Newtonove zakone gibanja i gravitacije, postavljamo diferencijalne jednadžbe koje opisuju ta gibanja te ih rješavamo numerički pomoću Pythona. Koristimo EulerCromerovu metodu i odeint integrator, te njihove rezultate prikazujemo grafički za ilustraciju položaja. Funkcija odeint dinamički prilagođava svoju metodu za točnost, dok Euler-Cromerova metoda osigurava stabilnost u dugoročnim simulacijama. U radu potvrđujemo očuvanje kutne količine kretanja pomoću podataka o afelu i perihelu. Nalazi potvrđuju usklađenost numeričkih metoda s klasičnim teorijama poput Keplerovih zakona, te pokazuju učinkovitost Pythona za astrofizičke proračune i postavljaju temelj za buduća istraživanja nebeske mehanike.
Keywords
Keywords (english)
Languageenglish
URN:NBNurn:nbn:hr:160:497547
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
Terms of useLicence In copyright icon
Created on2024-09-13 10:20:59