Classical Planar Scattering by Coulombic Potentials

Astronomy as well as molecular physics describe non-relativistic motion by an interaction of the same form: By Newton''s respectively by Coulomb''s potential. But whereas the fundamental laws of motion thus have a simple form, the n-body problem withstood (for n > 2) all attempts of an explicit solution. Indeed, the studies of Poincare at the end of the last century lead to the conclusion that suc...