Person: Palacián Subiela, Jesús Francisco
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Palacián Subiela
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Jesús Francisco
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Estadística, Informática y Matemáticas
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InaMat2. Instituto de Investigación en Materiales Avanzados y Matemáticas
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0000-0002-0974-6656
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1715
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Publication Open Access Hill problem analytical theory to the order four: application to the computation of frozen orbits around planetary satellites(Hindawi Publishing Corporation, 2009) Lara, Martín; Palacián Subiela, Jesús Francisco; Ingeniería Matemática e Informática; Matematika eta Informatika IngeniaritzaFrozen orbits of the Hill problem are determined in the double-averaged problem, where short and long-period terms are removed by means of Lie transforms. Due to the perturbation method we use, the initial conditions of corresponding quasi-periodic solutions in the nonaveraged problem are computed straightforwardly. Moreover, the method provides the explicit equations of the transformation that connects the averaged and nonaveraged models. A fourth-order analytical theory is necessary for the accurate computation of quasi-periodic frozen orbits.Publication Open Access Chaos in the libration motion of an asymmetric non-rigid spacecraft(2004) Iñarrea, Manuel; Lanchares, Víctor; Palacián Subiela, Jesús Francisco; Pascual, Ana Isabel; Salas, José Pablo; Yanguas Sayas, Patricia; Matematika; Institute for Advanced Materials and Mathematics - INAMAT2; Matemáticas; Gobierno de Navarra / Nafarroako GobernuaWe study the libration motion dynamics of an asymmetric spacecraft in circular orbit under the influence of a gravity gradient torquePublication Open Access Charge transfer in the Rydberg hydrogen atom metal surface interaction: a transition state approach(2007) Salas, José Pablo; Iñarrea, Manuel; Lanchares, Víctor; Palacián Subiela, Jesús Francisco; Pascual, Ana Isabel; Yanguas Sayas, Patricia; Ingeniería Matemática e Informática; Matematika eta Informatika IngeniaritzaWe study the classical dynamics of a hydrogen atom near a metallic surface in the presence of a uniform electric field. By continuation of families of periodic orbits and surfaces of section we show that, due to the electric field, the atom falls into a Stark regime through two pitchfork bifurcations. The charge transfer is studied by using the Dynamical Transition State Theory. Indeed, we obtain analytically the geometrical structures that in phase space regulate the ionisation of the atom and we calculate efficiently the ionisation probability as a function of the electric field strength.