Jorba i Monte, ÀngelSilvestre Rioné, Laura2023-10-312023-10-312023-06-13https://hdl.handle.net/2445/203307Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Àngel Jorba i Monte[en] The $n$-body problem aims to determine the motions of $n$ massive bodies interacting with each other gravitationally. In this work we present an introduction to the general problem, we solve the $n=2$ case completely, and the $n=3$ case is developed in detail, providing some particular solutions. Finally, we compute numerically the curve of zero velocity and the trajectory of the comet for the system Sun - Jupiter - comet 39P/Oterma.66 p.application/pdfcatcc-by-nc-nd (c) Laura Silvestre Rioné, 2023http://creativecommons.org/licenses/by-nc-nd/3.0/es/Problema dels n cossosEquacions diferencials ordinàriesMecànica celesteProblema dels dos cossosTreballs de fi de grauProblema dels tres cossosMany-body problemOrdinary differential equationsCelestial mechanicsTwo-body problemBachelor's thesesThree-body probleminfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess