• Dynamics of axially symmetric perturbed Hamiltonians in 1:1:1 resonance 

      Carrasco, Dante; Palacián Subiela, Jesús Francisco Upna Orcid; Vidal Díaz, Claudio; Vidarte, Jhon; Yanguas Sayas, Patricia Upna Orcid (Springer, 2018)   Artículo / Artikulua  OpenAccess
      We study the dynamics of a family of perturbed three-degree-of-freedom Hamiltonian systems which are in 1:1:1 resonance. The perturbation consists of axially symmetric cubic and quartic arbitrary polynomials. Our analysis ...
    • Hill problem analytical theory to the order four: application to the computation of frozen orbits around planetary satellites 

      Lara, Martín; Palacián Subiela, Jesús Francisco Upna Orcid (Hindawi Publishing Corporation, 2009)   Artículo / Artikulua  OpenAccess
      Frozen 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 ...
    • Oscillatory motions in restricted N-body problems 

      Álvarez-Ramírez, Martha; Rodríguez García, Antonio Upna Orcid; Palacián Subiela, Jesús Francisco Upna Orcid; Yanguas Sayas, Patricia Upna Orcid (Elsevier, 2018)   Artículo / Artikulua  OpenAccess
      We consider the planar restricted N-body problem where the N−1 primaries are assumed to be in a central configuration whereas the infinitesimal particle escapes to infinity in a parabolic orbit. We prove the existence of ...
    • Singular reduction of resonant Hamiltonians 

      Meyer, Kenneth Ray; Palacián Subiela, Jesús Francisco Upna Orcid; Yanguas Sayas, Patricia Upna Orcid (IOP PublishingLondon Mathematical Society, 2018)   Artículo / Artikulua  OpenAccess
      We investigate the dynamics of resonant Hamiltonians with n degrees of freedom to which we attach a small perturbation. Our study is based on the geometric interpretation of singular reduction theory. The flow of the ...

      El Repositorio ha recibido la ayuda de la Fundación Española para la Ciencia y la Tecnología para la realización de actividades en el ámbito del fomento de la investigación científica de excelencia, en la Línea 2. Repositorios institucionales (convocatoria 2020-2021).
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