With your numbers
F ≈ 5·p = 5·3.76 = f/18.8 (2p/λ = f/13.7)
18.8 / 5.00 = 3.76×
t = r·P·3600 / (π·D) [disc-centre speed π·D/P] = 1.15·9.93·3600 / (π·45.0) = 291 s
f ≈ 5 × pixel size is the common practical target; diameters change through the year, so enter tonight's. Derotation software allows longer captures.