The calculated distance (air line) between Bad Neustadt an der Saale and Dortmund is approximately 145 miles respectively 233 kilometers.
By car or train, the actual journey to Dortmund is certainly longer, as only the direct route (as the crow flies) between Bad Neustadt an der Saale and Dortmund has been calculated here.
Air line (approximately)
233 kilometers
126 nautical miles