  We study the dynamics of a magneto-optical trap (MOT) operating at
high-bandwidth. We find the absolute importance of high recapture efficiency
between cycles to maintain a practical atom number. We develop a simple model
accounting for MOT trapping forces and pressure induced collisions and validate
with experimental data using $\mathrm{{}^{87}Rb}$. This is then applied to
quantum sensing predicting a shot noise limited sensitivity of
$\mathrm{10^{-7}g/\sqrt{Hz}}$ for a gravimeter at 100 Hz operation. The results
are useful for understanding MOT operation at high-bandwidth, particularly in
the context of developing mobile high-bandwidth quantum inertial sensors
targeting dynamic environments and navigation applications.
