Please use this identifier to cite or link to this item:
Title: Problema extendido de tres cuerpos, restringido y circular
Author: López Alonso, Erik
Director/Tutor: Benseny, Antoni
Keywords: Problema dels tres cossos
Treballs de fi de grau
Sistemes dinàmics diferenciables
Teoria de la bifurcació
Mecànica celeste
Three-body problem
Bachelor's theses
Differentiable dynamical systems
Bifurcation theory
Celestial mechanics
Issue Date: 18-Jan-2020
Abstract: [en] The Extended Circular Restricted Three-Body Problem studies the motion of three bodies which are only exposed to their mutual interaction force $F \sim r^{\alpha}$ . In this problem, the mass of one of the 3 bodies is much smaller than the others, so this third bodie will not disturb the motion of the others. To study the motion of the third body, first we will study the others’ motion, and then we will add the third body, supposing that these two bodies have a circular motion. This body will have its motion under the field that the other 2 bodies generate, so we will study this field. In particular, we will obtain the equilibrium points of the field, and we will discuss analytically their existence. Furthermore, we will obtain the regions of the plane in which the motion will be possible, providing a qualitative description of their boundary. Finally, some of these regions will be simulated, thanks to a program which creation is away of this project.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Antoni Benseny
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

Files in This Item:
File Description SizeFormat 
165001.pdfMemòria2.22 MBAdobe PDFView/Open

This item is licensed under a Creative Commons License Creative Commons