Simulació i visualització gràfica en problemes de mecànica celeste

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.