The problem is one of establishing a voltage divider to produce the correct voltages.
Apply single phase voltage V. Select C1,C2,C3 so that V1,V2,V3 are approximately equal and 120 degrees apart. Zmot is the equivalent motor per-phase impedance (varies with load) which forms part of the volt divider. I'll try to draw a diagram. Points labeled Vn are connected together (not shown) and need not be 0.
<====1/jwC1 ==V1 ==Zmot====Vn
V<
<====1/jwC2===V2 ==Zmot====Vn
0 <=====jwC3=====V2===Zmot====Vn
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