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Title: Simulació i visualització gràfica en problemes de mecànica celeste
Author: Llorente Trillo, Bárbara
Director: Benseny, Antoni
Keywords: Mecànica celeste
Treballs de fi de grau
Problema dels dos cossos
Problema dels tres cossos
Simulació per ordinador
Celestial mechanics
Bachelor's thesis
Two-body problem
Three-body problem
Computer simulation
Issue Date: 24-Jun-2014
Abstract: In this memory be studied the restricted three body problem using tools of numerical calculation, differential equations, physicals and computer. For this, will review concepts of physics, like Newton’s laws, the law of universal gravitation and the law of Kepler. Secondly, we discuss the simplest case the two body problem and their reduction to the Kepler pro- blem. Thirdly, it will begin to talk about the restricted three bodies problem and arise as the formulation to do the simulation. After, explain some important constants, such as the Jacobi constant, that we find in this problem and also discuss the regulation of Levi-Civita applied to the program to discuss the possible singularities of system of differential equations of vector fields integrated. Finally, explain the application and that is what makes the simulation.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2014, Director: Antoni Benseny
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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