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http://hdl.handle.net/2445/181587
Title: | L'espai de fases del sistema Sol-Terra-Mart-Júpiter |
Author: | Rabasseda i Alcaide, Oriol |
Director/Tutor: | Gómez Muntané, Gerardo |
Keywords: | Teoria d'estabilitat (Matemàtica) Treballs de fi de grau Equacions diferencials ordinàries Teoria ergòdica Anàlisi numèrica Ordinary differential equations Bachelor's theses Ergodic theory Numerical analysis Stability theory (Mathematics) |
Issue Date: | 20-Jan-2021 |
Abstract: | [en] In this work we study the dynamics of a small particle moving in the Earth-Mars neighbourhood under the gravitational influence of the Sun, the Earth, Mars and Jupiter. To do so, we use a restricted 5-body 2-dimensional model and integrate, using this model, a very large set of initial conditions in order to determine their sensibility with respect to initial conditions. To quantify the sensibility, we use Finite Time Lyapunov Exponents for a time interval of 100 years, and for the numerical propagation we use the ODEX integrator in a parallelized environment, using the CPUs cluster HIDRA of the Departament de Matemàtiques i Informàtica of the Universitat de Barcelona, and OpenMP. The main results are final scalar field for the space phase and the analysis of some of the most interesting structures found. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Gerardo Gómez Muntané |
URI: | http://hdl.handle.net/2445/181587 |
Appears in Collections: | Programari - Treballs de l'alumnat Treballs Finals de Grau (TFG) - Matemàtiques Treballs Finals de Grau (TFG) - Enginyeria Informàtica |
Files in This Item:
File | Description | Size | Format | |
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codi_font.zip | Codi font | 36.24 kB | zip | View/Open |
tfg_oriol_rabasseda_i_alcaide.pdf | Memòria | 20.28 MB | Adobe PDF | View/Open |
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