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- W2048864894 abstract "In this paper we show for most choices of masses in the coplanar n -body problem and for certain masses in the three-dimensional n -body problem that the set of initial conditions leading to complete collapse forms a smooth submanifold in phase space where the dimension depends upon properties of the limiting configuration. A similar statement holds for completely parabolic motion. By a proper scaling, these two motions become dual to each other in the sense that one forms the unstable set while the other forms the stable set of a particular set of points in the new phase space. Most of the paper is devoted to solving the Painleve-Wintner problem which asserts that these types of orbits cannot enter in an infinite spin." @default.
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- W2048864894 date "1981-07-01" @default.
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- W2048864894 title "On the manifolds of total collapse orbits and of completely parabolic orbits for the n-body problem" @default.
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- W2048864894 doi "https://doi.org/10.1016/0022-0396(81)90051-6" @default.
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