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The forces acting on stars are gravitational and electromagnetic. Stars have charge and electromagnetic fields and charge generate forces, F=qE + qvxB. The so-called "dark (missing) matter in galaxies" is a manifestation of the electromagnetic forces on stars.
Roughly a star with mass m in the galaxy, is acted on by the galactic magnetic field B. This is similar to the mass spectrometer.
mv^2/r = qvB = qvuI/r = qvzI/cr
Thus v=qzI/mc the velocity of v is independent of the radius and depeds on the charge to mass ration, q/m.
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