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摘要
Consider four point particles with equal masses in the euclidean space, subject to the following symmetry constraint: at each instant they are symmetric with respect to the dihedral group D-2, that is the group generated by two rotations of angle 71 around two orthogonal axes. Under a homogeneous potential of degree -alpha for 0 %26lt; alpha %26lt; 2, this is a subproblem of the four-body problem, in which all orbits have zero angular momentum and the configuration space is three-dimensional. In this paper we study the flow in McGehee coordinates on the collision manifold, and discuss the qualitative behavior of orbits which reach or come close to a total collision.
- 出版日期2013-8
