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http://hdl.handle.net/2445/181587
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DC Field | Value | Language |
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dc.contributor.advisor | Gómez Muntané, Gerardo | - |
dc.contributor.author | Rabasseda i Alcaide, Oriol | - |
dc.date.accessioned | 2021-12-02T10:42:16Z | - |
dc.date.available | 2021-12-02T10:42:16Z | - |
dc.date.issued | 2021-01-20 | - |
dc.identifier.uri | http://hdl.handle.net/2445/181587 | - |
dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Gerardo Gómez Muntané | ca |
dc.description.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. | ca |
dc.format.extent | 59 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | ca |
dc.rights | cc-by-nc-nd (c) Oriol Rabasseda i Alcaide, 2020 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
dc.subject.classification | Teoria d'estabilitat (Matemàtica) | ca |
dc.subject.classification | Treballs de fi de grau | - |
dc.subject.classification | Equacions diferencials ordinàries | ca |
dc.subject.classification | Teoria ergòdica | ca |
dc.subject.classification | Anàlisi numèrica | ca |
dc.subject.other | Ordinary differential equations | en |
dc.subject.other | Bachelor's theses | - |
dc.subject.other | Ergodic theory | en |
dc.subject.other | Numerical analysis | en |
dc.subject.other | Stability theory (Mathematics) | en |
dc.title | L'espai de fases del sistema Sol-Terra-Mart-Júpiter | ca |
dc.type | info:eu-repo/semantics/bachelorThesis | ca |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
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 |
This item is licensed under a Creative Commons License