Also there is back EMF once motion starts which raises effective impedance and L is non-linear, especially near saturation current and stroke position. Then there is the net force and mass which affects acceleration, then distance to endstop that affects time duration.
Then with AC inrush current gives more force in the closed position with higher core coupling than the open position.
Then there are remenance , plunger type and thermal effects.
I can't think of at least 3 equations needed for these unknowns, some which include V=L dI/dt + I dL/dt + f(velocity, momentum) + ESR* I +
so when buying, follow the datasheets.