No-infinite-spin in exceptional collision regimes

Prove the no-infinite-spin property for non-isolated and collinear collision singularities in the spatial problem and for partial collisions in $R^d$.

Background

The no-infinite-spin problem asks whether bodies approaching collision can rotate infinitely many times around their center of mass before the collision. The conclusion summarizes recent results resolving this issue for several classes, including planar total and partial collisions and certain spatial cases. It then identifies unresolved exceptional regimes: non-isolated and collinear spatial collisions and partial collisions in arbitrary $R^d$. The asymptotic estimates developed in the paper are described as essential for addressing these remaining cases.