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Simulación de problemas de dos cuerpos con finalidades didácticas

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dc.contributor Benseny, Antoni
dc.creator Blasco Sánchez, Carmen
dc.date 2017-03-16T10:20:37Z
dc.date 2017-03-16T10:20:37Z
dc.date 2016-06-27
dc.date.accessioned 2024-12-16T10:23:56Z
dc.date.available 2024-12-16T10:23:56Z
dc.identifier http://hdl.handle.net/2445/108491
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/16817
dc.description Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Antoni Benseny
dc.description This paper deals with the problem of two bodies from different points of view: theoretical, practical and educational. A theoretical analysis of the problem becomes first once reduced to a Kepler problem and using the constants of motion: energy and angular momentum. It is obtained, in each case, the form of like Conic orbits with a focus on the center of mass. It continues with the implementation of an application of interactive simulation that allows the visualization of the conics given initial conditions, the calculation of the orbits in the gravitational case and its extension to other forces and graphical interactive visualization of the orbits calculated using different controls to the parameters of the problem and the initial conditions. The work is complemented providing teaching materials that help to the comprenhension of the analysis and the geometry of orbits in the gravitational case, and to investigate the behaviour of the orbits for different types of forces of interaction by means of the analysis of their effective potentials. The whole work has been thought to be useful in a education workshop led to high school students.
dc.format 54 p.
dc.format application/pdf
dc.language spa
dc.rights cc-by-nc-nd (c) Carmen Blasco Sánchez, 2016
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.rights info:eu-repo/semantics/openAccess
dc.source Treballs Finals de Grau (TFG) - Matemàtiques
dc.subject Problema dels dos cossos
dc.subject Treballs de fi de grau
dc.subject Òrbites
dc.subject Simulació per ordinador
dc.subject Didàctica de la matemàtica
dc.subject Educació secundària
dc.subject Two-body problem
dc.subject Bachelor's theses
dc.subject Computer simulation
dc.subject Mathematics teaching methods
dc.subject Secondary education
dc.title Simulación de problemas de dos cuerpos con finalidades didácticas
dc.type info:eu-repo/semantics/bachelorThesis


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