Abstract:
For $n$ bodies moving in Euclidean $d$-space under the influence of a
homogeneous pair interaction we
compactify every center of mass energy surface, obtaining a
$\big(2d(n -1)-1\big)$-dimensional manifold with corners in the sense of Melrose.
After a time change, the flow on this manifold is globally defined
and nontrivial on the boundary.
References