  Celestial capture of dark matter provides a useful handle for constraining
its particulate properties. The capture formalism is sensitive to the phase
space distribution of dark matter in the vicinity of the celestial object. This
article aims to systematically study the impact of uncertainties and the
influence of cosmological simulations on the rate at which dark matter
particles are captured inside a variety of celestial objects. Going beyond the
framework of the Maxwell-Boltzmann distribution or the standard halo model, we
take up pragmatic dark matter velocity distributions motivated by observations
or cosmological simulations. Within the limits of the standard halo model, we
report a maximum $\sim 20\%$ change in the capture rate. This number can go up
to $\sim 200\%$ if dark matter particles within the galactic halo are favored
to have an empirical velocity distribution profile when well-resolved and
sophisticated cosmological simulations are employed to extract their parametric
values.
