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Suppose three charged particles (all positive) m1,q1; m2,q2; m3,q3 are released and can move only in 1 dimension say x-axis and their interaction potential are known (say q1q2/(x1-x2)2). When they very far from one another (i.e. all potential released), are there formulas which can give their final velocities?

Suppose no symmetric configurations are there, then I notice that the momentum (1-D ) and energy conservation only give 2 equations for three velocities. Do I have no choice except use dynamic equations to study their time evolution?

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# About 1 Dimensional 3-body problem

Can you offer guidance or do you also need help?

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