Regularization of the Circular Restricted Three Body Problem on Surfaces of Constant Curvature
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DOI: 10.1007/s10884-017-9619-x
Abstract: We consider a restricted three body problem on surfaces of constant curvature. As in the classical Newtonian case the collision singularities occur when the position particle with infinitesimal mass coincides with the position of one… read more here.
Keywords: problem surfaces; restricted three; surfaces constant; body problem ... See more keywords
McGehee Blow-Up of the Kepler Problem on Surfaces of Constant Curvature
Sign Up to like & getrecommendations! Published in 2020 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-020-00349-6
Abstract: In this work we address the local behaviour at collision of the Kepler problem on surfaces of constant curvature. A full description of dynamics in the extended energy surface is given relying in the energy… read more here.
Keywords: problem surfaces; kepler problem; surfaces constant; constant curvature ... See more keywords