The expected number of detection counts in a bin of size Δx for objects of different SNR ν found in catalogs of different SNR thresholds ν_th. Thick (thin) colored lines approximately indicate when the expected number of signal detections will be larger (less) than the expected number of noise detections, i.e., when ﹩{\mathbb{E}}[{N}_{{\rm{signal}}}]/{\mathbb{E}}[{N}_{{\rm{noise}}}]\gt 1﹩ (or <1), indicating when a single object of the given SNR ν is distinguishable from noise in a stack of the detection catalog that corresponds to the given object’s trajectory. Black solid (dashed) lines indicate values of ﹩{N}_{{\rm{\min }}}﹩ that produce a false-positive rate of ϵ = 100/N_stacks in an example MBA (TNO) search covering Ω = 162 arcmin² with a = 1″ seeing and a Δt = 4 hr time baseline. Colored lines lying in regions of the parameter space ﹩{N}_{\min }={\mathbb{E}}[{N}_{\mathrm{signal}}]+{\mathbb{E}}[{N}_{\mathrm{noise}}]﹩ and Δx above (below) the black lines represent when objects of the given SNR ν are (un)likely to appear in the results of a search before producing 100 results corresponding to stacks of noise detections.