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• W2040359119 startingPage "925" @default.
• W2040359119 abstract "Consider four point particles with equal masses in the euclideanspace,subject to the following symmetry constraint: at each instant theyare symmetric with respect to the dihedral group $D_2$,that is the groupgenerated by two rotations of angle $pi$ around twoorthogonal axes.Under ahomogeneous potential of degree $-alpha$ for $0<alpha<2$,this is a subproblem of the four-body problem,inwhich all orbits have zero angular momentum and the configurationspace is three-dimensional.In this paper westudy the flow in McGehee coordinates on the collision manifold,anddiscuss the qualitative behavior of orbits which reach or come close to a total collision." @default.
• W2040359119 created "2016-06-24" @default.
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• W2040359119 date "2012-12-01" @default.
• W2040359119 modified "2023-09-25" @default.
• W2040359119 title "Dynamics of the the dihedral four-body problem" @default.
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• W2040359119 doi "https://doi.org/10.3934/dcdss.2013.6.925" @default.
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