The planar three-body problem is first transformed by two coordinate changes - Murnaghan’s symmetric variables and Lemaitre’s regularized variables. After these preliminary transformations are carried out, the author applies a change of coordinates due to R. McGehee. This has the effect of blowing up triple collision into an invariant five-dimensional manifold. The flow on this manifold is studied by the author for the case of zero agular momentum which further reduces the dimension of the collision manifold to four. The flow on this reduced manifold is gradient like. The rest points can be determined and a resulting analysis of the flow on the four-dimensional triple collision manifold is briefly carried out.