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Wintner's collinear and flat solutions are nowhere dense
Authors:Florin N Diacu
Institution:(1) Department of Mathematics, Str. Papiu Ilarian 7, 2400 Sibiu, Romania
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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