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tfg_ gracia_lapuyade_bruno.pdf (869.22 KB)

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Bachelor thesis

Publication date

2024-01-17

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cc-by-nc-nd (c) Gracia Lapuyade, 2024
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/211183

Introducció a la mecànica celeste

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Abstract

[en] This Bachelor’s Thesis provides a rigorous introduction to the fundamental concepts of celestial mechanics from a mathematical standpoint. The text explores the foundational principles governing the motion of particles due to their gravitational interactions in space. Key concepts such as Kepler’s laws, conservation of energy, and the n-body problem are addressed. Special emphasis is placed on the latter, as well as its particular cases of two and three bodies, with an analysis of the inherent challenges in accurately predicting the trajectories of these systems.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2024, Director: Àngel Jorba i Monte

Subject

Problema dels tres cossos, Problema dels dos cossos, Problema dels n cossos, Mecànica celeste, Treballs de fi de grau

Subject (English)

Three-body problem, Two-body problem, Many-body problem, Celestial mechanics, Bachelor's theses

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

GRACIA LAPUYADE, Bruno. Introducció a la mecànica celeste. [consulted: 6 of June of 2026]. Available at: https://hdl.handle.net/2445/211183

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