Dinàmica de varietats espacials: les autopistes de l'univers

Autor: Barrabés Vera, Esther, Ollé Torner, Mercè

Publikováno v: Butlleti de la Societat Catalana de Matemàtiques, 2019, vol. 34, núm. 2, p. 97-123
Articles publicats (D-IMAE)
Barrabés Vera, Esther Ollé Torner, Mercè 2019 Dinàmica de varietats espacials: les autopistes de l'univers Butlleti de la Societat Catalana de Matemàtiques 34 2 97 123
DUGiDocs – Universitat de Girona
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En aquest article volem il . lustrar com la comprensió de la dinàmica d'alguns models de la mecànica celeste permet explicar alguns fenòmens astronòmics i dissenyar missions realistes a l'espai. El model paradigmàtic usat és el problema restri

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=RECOLECTA___::b30d9c50a61103fe1211499840aebfe3
http://hdl.handle.net/10256/18674

HAmsys 2014

Autor: Ollé Torner, Mercè, Barrabés Vera, Esther, Gómez Muntané, Gerard, Mondelo González, José María

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

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 t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::b1404facb88ac800ca2a14a763cf685c
http://hdl.handle.net/2117/85288

KAM aspects of the quasi-periodic Hamiltonian Hopf bifurcation: summary of results

Autor: Ollé Torner, Mercè, Pacha Andújar, Juan Ramón, Villanueva Castelltort, Jordi

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
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In this work we consider a 1:-1 non semi-simple resonant periodic orbit of a three-degrees of freedom real analytic Hamiltonian system. From the formal analysis of the normal form, it is proved the branching off a two-parameter family of two-dimensio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::62b26de36a7e89794836add1b03b6625
https://hdl.handle.net/2117/1956

Invariant manifolds of L_3 and horseshoe motion in the restricted three-body problem

Autor: Barrabés Vera, Esther, Ollé Torner, Mercè|||0000-0002-8050-9055

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
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UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

In this paper, we consider horseshoe motion in the planar restricted three-body problem. On one hand, we deal with the families of horseshoe periodic orbits (which surround three equilibrium points called L3, L4 and L5), when the mass parameter µ is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::98126b7dbf90fd8a8568592f2f30d619
https://hdl.handle.net/2117/1227

Central configurations of the planar coorbital satellite problem

Autor: Cors Iglesias, Josep Maria, Llibre Saló, Jaume, Ollé Torner, Mercè

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
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We study the planar central configurations of the 1 + n body problem where one mass is large and the other n masses are infinitesimal and equal. We find analytically all these central configurations when 2 ≤ n ≤ 4. Numerically, first we prov

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::c25118007ddbd2d661c6f9872a0336d0
http://hdl.handle.net/2117/903