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Title: Simulaciones de n-cuerpos en sistemas no colisionales
Author: Sanchis Bernabeu, Francisco Javier
Tutor: García Gómez, Carlos
Keywords: stellar dynamics
computational methods
Issue Date: 26-Jun-2020
Publisher: Universitat Oberta de Catalunya (UOC)
Abstract: The main goal of this Final Master's Thesis is the introduction of the Simulation of N-Body Collisionless Systems focusing on three aspects. Firstly defining what the essential parameters to describe the evolution of a system are. Secondly, explaining the different types of algorithms that exist to deal with the n-body problem. Finally, integrating isolated stable and unstable systems and creating scenarios where these two kind of systems collide. Due to the big number of masses in an N-Body system, the computational cost of calculating all the forces is very high. For example, the Milky Way has approximately 10^11 stars. So, there are different kind of algorithms and paradigms to treat with this large number of particles. For example, we can approximate the movement of a star by treating it as a single particle in the potential gravitational field generated by all the masses in that system.The equation that governs this system is the Botlzmann's Equation and the N-Body is used as a numerical solution in the 6D phase-space system in time. It has been demonstrated that the number of bodies and the softening, as discretization of space, are crucial parameters to obtain accurate results. Using the virial theorem also demons- trates that unstable systems become stable as we integrate them over time. Finally, encounters between n-body systems will be presented. These scenarios are the basis of the simulation of galaxies and clusters which can be observed in our universe.
Language: Spanish
Appears in Collections:Bachelor thesis, research projects, etc.

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