Abstract
It is shown that in then-body problem with generalized attraction law, the sets of initial conditions which lead to Wintner's collinear, respectively flat, motion are nowhere dense relative to the set of initial conditions that define solutions inR 3.
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Diacu, F.N. Wintner's collinear and flat solutions are nowhere dense. Celestial Mechanics 44, 261–265 (1988). https://doi.org/10.1007/BF01235539
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DOI: https://doi.org/10.1007/BF01235539