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- W2316774058 abstract "Abstract We classify and analyze the orbits of the Kepler problemon surfaces of constant curvature (both positive and negative, 𝕊 2 and ℍ 2 , respectively) as functions of the angular momentum and the energy. Hill's regions are characterized, and the problem of time-collision is studied. We also regularize the problem in Cartesian and intrinsic coordinates, depending on the constant angular momentum, and we describe the orbits of the regularized vector field. The phase portraits both for 𝕊 2 and ℍ 2 are pointed out." @default.
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- W2316774058 date "2017-10-01" @default.
- W2316774058 modified "2023-09-26" @default.
- W2316774058 title "Dynamics and Regularization of the Kepler Problem on Surfaces of Constant Curvature" @default.
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- W2316774058 doi "https://doi.org/10.4153/cjm-2016-014-5" @default.
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