Coherent beam-beam interactions in electron-positron colliders.

We present the results of a new calculational technique that evaluates the beam-beam force due to an arbitrary cha.rge distribution. We find coherent instabilities that dominate at certain operating points and depend strongly on the degree of damping in the system. We conclude that while these resonances may play a significant role for colliders with low damping, with a careful choice of operating points they should present no danger to the new generation of high luminosity heavy-quark factories under design.