Relationships between the optimal softening length ﹩{\delta }_{{\rm{opt}}}﹩ and impact parameter for the four softening prescriptions in simulations of Gaussian clusters with N_c = 8192. Panels and line styles are the same as those in Figure 3. The ﹩Q=0.2,b/{R}_{c}=1﹩ results are not reliable as those simulations lead to cluster convergence. There is a trend for smaller impact parameter cases to result in larger ﹩{\delta }_{{\rm{opt}}}﹩ values. As with the Plummer clusters, softening lengths of zero are reasonable for larger impact parameter cases.