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Removing Collisions

In any $r^{-\epsilon}$ force law there is a singularity at ${\bf r} = 0$ at which the force exerted by two or more bodies on each other diverges to infinity. We cannot allow this occasion to arise; hence we remove all collision points from our state space ${\cal X}$. For our problem, these are just the points at which two or more of $z_1, z_2, z_3$ are equal.

Matthew Salomone 2003-07-24