  We investigate how the probability of acquiring an optical link between a
scanning and a target spacecraft depends on the spectral shape, power and
dimensionality of the beam jitter, as well as on the choice of detector
integration time, beam detection radius and scan speed. For slow scans and long
integration times, the probability of failure (Pfail) is determined by the
integrated jitter power up to a critical frequency, which we verify by
comparing the results of an analytical model to those of Monte Carlo
simulations. Jitter above the critical frequency leads to a loss of correlation
between integration windows and decreases Pfail for both, 1d (radial) and 2d
(radial and tangential) jitter, as long as the RMS jitter amplitude does not
exceed the beam diameter. In the opposite limit of fast scans and short
integration times, emergent correlations between jitter fluctuations on two
adjacent scanning tracks also decrease Pfail. The analytical model is
additionally used to assess the effect of multiple overlapping tracks and the
impact of target drifts in the uncertainty plane.
