The calculated distance (air line) between Roßlau and Bad Lauchstädt is approximately 38 miles respectively 61 kilometers.
By car or train, the actual journey to Bad Lauchstädt is certainly longer, as only the direct route (as the crow flies) between Roßlau and Bad Lauchstädt has been calculated here.
Air line (approximately)
61 kilometers
33 nautical miles