Global flow in the generalized Buckingham’s two-body problem
2017
In this paper, we consider the generalized Buckingham potential. Using the McGehee’s regularizing transformations, we study the global flow for the two-body problem associated to this potential. By making vary the angular momentum constant in the three cases of negative, zero, and positive energy, we analyze all possible situations. In each case, we obtain the global flow of the problem, exhibiting a great variety of orbits. All phase portraits are interpreted in terms of physical trajectories.
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