Following the motion of a charged conducting sphere by electrostatic induction in a parallel plate capacitor

The dataset contains the charge induced in a parallel plate capacitor by a charged conducting sphere moving under the influence of gravitation.
The first column provides the time in ms, the second the measured data in fC, the third the simulation with a formula which includes a correction for small distances between the sphere and a plate of the capacitor, the fourth the simulation with a simplified formula.