Dinàmica de varietats espacials: les autopistes de l'univers Authors Esther Barrabés Mercè Ollé Abstract In this article we seek to illustrate how the understanding of the dynamics of some models of Celestial Mechanics allows both to explain some astronomical phenomena and to design realistic space missions. The paradigmatic model used is the restricted three-body problem in which the invariant manifolds of the so-called libration orbits, that is, periodic and quasi-periodic orbits around the collinear equilibrium points of the model, play a key role. We will describe some of these phenomena and mention a number of specific missions. Lastly, we will comment on other useful (and more sophisticated) models in Astrodynamics and we will conclude with a remark on how the tools of Dynamical Systems can be transferred from the macroscopic (celestial) world to microscopic ones, such as classic atomic physics. Downloads Text complet (Català) Published 2020-02-05 How to Cite Barrabés, E., & Ollé, M. (2020). Dinàmica de varietats espacials: les autopistes de l’univers. Butlletí De La Societat Catalana De Matemàtiques, 34(2), 97–123. Retrieved from https://revistes.iec.cat/index.php/BSCM/article/view/106088.003 More Citation Formats ACM ACS APA ABNT Chicago Harvard IEEE MLA Turabian Vancouver Download Citation Endnote/Zotero/Mendeley (RIS) BibTeX Issue Vol. 34 No. 2 (2019) Section Articles License The intellectual property of articles belongs to the respective authors.On submitting articles for publication to the journal Butlletí de la Societat Catalana de Matemàtiques, authors accept the following terms:Authors assign to Societat Catalana de Matemàtiques (a subsidiary of Institut d’Estudis Catalans) the rights of reproduction, communication to the public and distribution of the articles submitted for publication to Butlletí de la Societat Catalana de Matemàtiques.Authors answer to Societat Catalana de Matemàtiques for the authorship and originality of submitted articles.Authors are responsible for obtaining permission for the reproduction of all graphic material included in articles.Societat Catalana de Matemàtiques declines all liability for the possible infringement of intellectual property rights by authors.The contents published in the journal, unless otherwise stated in the text or in the graphic material, are subject to a Creative Commons Attribution-NonCommercial-NoDerivs (by-nc-nd) 3.0 Spain licence, the complete text of which may be found at https://creativecommons.org/licenses/by-nc-nd/3.0/es/deed.en. Consequently, the general public is authorised to reproduce, distribute and communicate the work, provided that its authorship and the body publishing it are acknowledged, and that no commercial use and no derivative works are made of it.The journal Butlletí de la Societat Catalana de Matemàtiques is not responsible for the ideas and opinions expressed by the authors of the published articles.