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HAmsys 2014
Ollé Torner, Mercè; Barrabés Vera, Esther; Gomez Muntane, Gerard; Mondelo, Josep Maria
Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics
In this talk we give an explanation of transport in the solar system based in dynamical systems theory. More concretely we consider (as a first approximation) different bicircular problems (i.e. Sun, Jupiter, a planet and an infinitesimal mass), we take sl natural periodic orbits which are unstable and we study their invariant manifolds as well as the existence of possible heteroclinic connections. The role that these particular trajectories play in relation with transport from exterior planets to the inner ones is discussed. Finally, some comments concerning a more realistic model of the Solar System are given and dynamical substitutes of invariant objects (from simpler models) are obtained
Àrees temàtiques de la UPC::Matemàtiques i estadística
Linear systems
Solar system
Transport in the Solar system
periodic orbits
invariant manifolds
Sistemes dinàmics diferenciables
Sistema solar
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